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\hypersetup{
            pdftitle={Europeean Materials Modelling Ontology},
            pdfauthor={Emanuele Ghedini, Gerhard Goldbeck, Jesper Friis, Adham Hashibon, Georg Schmitz},
            pdfkeywords={EMMO, materials science, modelling, characterisation, materials, ontology},
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\title{Europeean Materials Modelling Ontology}
\author{Emanuele Ghedini \and Gerhard Goldbeck \and Jesper Friis \and Adham Hashibon \and Georg Schmitz}
\providecommand{\institute}[1]{}
\institute{European Materials Modelling Counsil (EMMC)}
\date{March 18, 2020}

\begin{document}
%\maketitle
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\begin{titlepage}
  \centering
      {\huge\bfseries Europeean Materials Modelling Ontology\par}\vspace{0.4cm}
        {\scshape\LARGE Version 1.0.0-alpha\par}\vspace{1cm}
    \par
    {\Large European Materials Modelling Counsil (EMMC)\par}\vspace{0.2cm}
    %  %{\itshape By Emanuele Ghedini, Gerhard Goldbeck, Jesper Friis, Adham Hashibon, Georg Schmitz\par}\vspace{0.3cm}
  %  \par
    \includegraphics[width=0.12\textwidth]{figs/emmc-logo.png}\par\vspace{1cm}
      {\large March 18, 2020\par}\vspace{2cm}
      \includegraphics[width=\linewidth]{figs/emmo-multidisciplinary.png}\par\vspace{0.5cm}
  \end{titlepage}
\thispagestyle{empty}
\begin{abstract}
EMMO is an ontology that is created by the Europeean Materials Modelling
Council (EMMC) to provide a formal way to describe the fundamental
concepts of physics, chemistry and materials science. EMMO is designed
to pave the road for semantic interoperability providing a generic
common ground for describing materials, models and data that can be
adapted by all domains.

It is a representational framework of predefined classes and axioms
(ontology) provided by experts (EMMC) that enables end users (industry,
research, academy) to represent real life physical entities (materials,
devices), models and properties using ontological signs (individuals) in
a standard way to facilitate interactions and exchanges (data, software,
knowledge) between all involved material modelling and characterization
communities and stakeholders.
{%
  \par\vspace{1cm}
  {\bf Keywords:} EMMO, materials science, modelling, characterisation, materials, ontology
}

{
  \par\vspace{4cm}
  \raggedleft
  Authors:\par
  \itshape
  Emanuele Ghedini, University of Bologne\par Gerhard Goldbeck, Goldbeck Consulting\par Jesper Friis, SINTEF\par Adham Hashibon, Fraunhofer IWM\par Georg Schmitz, ACCESS\par 
}
\end{abstract}

{
\hypersetup{linkcolor=}
\setcounter{tocdepth}{1}
\tableofcontents
}
\hypertarget{introduction}{%
\chapter{Introduction}\label{introduction}}

EMMO is a multidisciplinary effort to develop a standard
representational framework (the ontology) based on current materials
modelling knowledge, including physical sciences, analytical philosophy
and information and communication technologies. This multidisciplinarity
is illustrated by the figure on the title page. It provides the
connection between the physical world, materials characterisation world
and materials modelling world.

\begin{figure}
\centering
\includegraphics[width=6.45833in,height=\textheight]{figs/emmo-three_worlds.png}
\caption{EMMO provides the connection between the physical world,
materials characterisation world and materials modelling world.}
\end{figure}

EMMO is based on and is consistent with the
\href{https://publications.europa.eu/en/publication-detail/-/publication/ec1455c3-d7ca-11e6-ad7c-01aa75ed71a1}{Review
of Materials Modelling},
\href{https://www.cen.eu/news/workshops/Pages/WS_2016-013.aspx}{CEN
Workshop Agreement} and
\href{https://emmc.info/moda-workflow-templates/}{MODA template}.
However, while these efforts are written for humans, EMMO is defined
using the \href{https://en.wikipedia.org/wiki/Web_Ontology_Language}{Web
Ontology Language (OWL)}, which is machine readable and allows for
machine reasoning. In terms of semantic representation, EMMO brings
everything to a much higher level than these foundations.

As illustrated in the figure below, EMMO covers all aspects of materials
modelling and characterisation, including:

\begin{itemize}
\tightlist
\item
  the \textbf{material} itself, which must be described in a rigorous
  way
\item
  the \textbf{observation process} involving an observer that percieves
  the real world (characterisation)
\item
  the \textbf{properties} that are measured or modelled
\item
  the \textbf{physics laws} that describe the material behaviour
\item
  the \textbf{physical models} that approximate the physics laws
\item
  the \textbf{solver} including the numerical discretisation method that
  leads to a solvable mathematical representation under certain
  simplifying assumptions
\item
  the \textbf{numerical solver} that performs the calculations
\item
  the \textbf{post processing} of experimental or simulated data
\end{itemize}

\begin{figure}
\centering
\includegraphics[width=3.75in,height=\textheight]{figs/emmo-scope.png}
\caption{The aspects of materials modelling and characterisation covered
by EMMO.}
\end{figure}

EMMO is released under the
\href{http://emmo.info/blob/v1.0.0/LICENSE.md}{Creative Commons license}
and is available at
\href{https://github.com/emmo-repo/EMMO/}{emmo.info/}. The OWL2-DL
sources are available in RDF/XML format.

\hypertarget{what-is-an-ontology}{%
\section{What is an ontology}\label{what-is-an-ontology}}

In short, an ontology is a specification of a conceptualization. The
word \emph{ontology} has a long history in philosophy, in which it
refers to the subject of existence. The so-called
\href{https://en.wikipedia.org/wiki/Ontological_argument}{ontological
argument} for the existence of God was proposed by Anselm of Canterbury
in 1078. He defined God as \emph{``that than which nothing greater can
be thought''}, and argued that \emph{``if the greatest possible being
exists in the mind, it must also exist in reality. If it only exists in
the mind, then an even greater being must be possible -- one which
exists both in the mind and in reality''}. Even though this example has
little to do with todays use of ontologies in e.g.~computer science, it
illustrates the basic idea; the ontology defines some basic premises
(concepts and relations between them) from which it is possible reason
to gain new knowledge.

For a more elaborated and modern definition of the ontology we refer the
reader to the one provided by
\href{http://tomgruber.org/writing/ontology-definition-2007.htm}{Tom
Gruber (2009)}. Another useful introduction to ontologies is the paper
\href{http://www.ksl.stanford.edu/people/dlm/papers/ontology-tutorial-noy-mcguinness-abstract.html}{Ontology
Development 101: A Guide to Creating Your First Ontology} by Noy and
McGuinness (2001), which is based on the
\href{https://protege.stanford.edu/}{Protege} sortware, with which EMMO
has been developed.

A taxonomy is a hierarchical representation of classes and subclasses
connected via \texttt{is\_a} relations. Hence, it is a subset of the
ontology excluding all but the \texttt{is\_a} relations. The main use of
taxonomies is for the organisation of classifications. The figure shows
a simple example of a taxonomy illustrating a categorisation of four
classes into a hierarchy of more higher of levels of generality.

\begin{figure}
\centering
\includegraphics[width=3.125in,height=\textheight]{figs/animal.png}
\caption{Example of a taxonomy.}
\end{figure}

In EMMO, the taxonomy is a rooted directed acyclic graph (DAG). This is
important since many classification methods relies on this property, see
e.g. \href{https://arxiv.org/abs/1406.4472}{Valentini (2014)} and
\href{https://www.google.no/url?sa=t\&rct=j\&q=\&esrc=s\&source=web\&cd=2\&ved=0ahUKEwi_2vv-8tXbAhUFiiwKHVRdD4EQFgg1MAE\&url=https\%3A\%2F\%2Fwww.springer.com\%2Fcda\%2Fcontent\%2Fdocument\%2Fcda_downloaddocument\%2F9783319202471-c2.pdf\%3FSGWID\%3D0-0-45-1510685-p177420182\&usg=AOvVaw39c3v4a5PfVMEYDulWpF3w}{Robison
et al (2015)}. Note, that EMMO is a DAG does not prevent some classes
from having more than one parent. A \texttt{Variable} is for instance
both a \texttt{Mathematical} and a \texttt{Symbol}. See
\protect\hyperlink{appendix}{appendix} for the full EMMO taxonomy.

\hypertarget{primitive-elements-in-emmo}{%
\section{Primitive elements in EMMO}\label{primitive-elements-in-emmo}}

\begin{figure}
\centering
\includegraphics[width=6.45833in,height=\textheight]{figs/emmo-primitives.png}
\caption{The primitive building blocks of EMMO.}
\end{figure}

\hypertarget{individuals}{%
\subsection{Individuals}\label{individuals}}

Individuals are the basic, ``ground level'' components of EMMO. They may
include concrete objects such as cars, flowers, stars, persons and
molecules, as well as abstract individuals such as a measured height, a
specific equation and software programs.

Individuals possess attributes in form of axioms that are defined by the
user (interpreter) upon declaration.

\hypertarget{classes}{%
\subsection{Classes}\label{classes}}

Classes represent concepts. They are the building blocks that we use to
create an ontology as a representation of knowledge. We distinguish
between \emph{defined} and \emph{non-defined} classes.

Defined classes are defined by the requirements for being a member of
the class. In the graphical representations of EMMO, defined classes are
orange. For instance, in the graph of the top-level entity branch below,
The root \texttt{EMMO} and a defined class (defined to be the disjoint
union of \texttt{Item} and \texttt{Collection}).

Non-defined classes are defined as an abstract group of objects, whose
members are defined as belonging to the class. They are yellow in the
graphical representations.

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/EMMOT.pdf}
\caption{Example of the top-level branch of EMMO showing some classes
and relationships between them.}
\end{figure}

\hypertarget{axioms}{%
\subsection{Axioms}\label{axioms}}

Axioms are propositions in a logical framework that define the relations
between the individuals and classes. They are used to categorise
individuals in classes and to define the \emph{defined} classes.

The simplest form of a class axiom is a class description that just
states the existence of the class and gives it an unique identifier. In
order to provide more knowledge about the class, class axioms typically
contain additional components that state necessary and/or sufficient
characteristics of the class. OWL contains three language constructs for
combining class descriptions into class axioms:

\begin{itemize}
\item
  \emph{Subclass} (\texttt{rdfs:subClassOf}) allows one to say that the
  class extension of a class description is a subset of the class
  extension of another class description.
\item
  \emph{Equivalence} (\texttt{owl:equivalentClass}) allows one to say
  that a class description has exactly the same class extension
  (i.e.~the individuals associated with the class) as another class
  description.
\item
  \emph{Distjointness} (\texttt{owl:disjointWith}) allows one to say
  that the class extension of a class description has no members in
  common with the class extension of another class description.
\end{itemize}

See the section about \protect\hyperlink{description-logic}{Description
logic} for more information about these language constructs. Axioms are
also used to define relations between relations. These are further
detailed in the chapter on
\protect\hyperlink{emmo-relations}{Relations}.

\hypertarget{theoretical-foundations}{%
\section{Theoretical foundations}\label{theoretical-foundations}}

EMMO build upon several theoretical frameworks.

\hypertarget{semiotics}{%
\subsection{Semiotics}\label{semiotics}}

Semiotics is the study of meaning-making. It is the dicipline of
formulating something that possibly can exist in a defined space and
time in the real world.

\hypertarget{mereotopology}{%
\subsection{Mereotopology}\label{mereotopology}}

Mereotopology is the combination of \textbf{mereology} (science of
parthood) and \textbf{topology} (mathematical study of the geometrical
properties and conservation through deformations). It is introdused via
the \protect\hyperlink{item}{\texttt{Item}} class and based on the
\protect\hyperlink{mereotopological}{\texttt{mereotopological}}
relations. Items in EMMO are always topologically connected in space and
time. EMMO makes a strong distinction between membership and parthood
relations. In contrast to collections, items can only have parts that
are themselves items. For further information, see
\href{https://mitpress.mit.edu/books/parts-and-places}{Casati and Varzi
``Parts and Places'' (1999)}.

\hypertarget{physics}{%
\subsection{Physics}\label{physics}}

EMMO is strongly based on physics, with the aim of being able to
describe all aspects and all domains of physics, from quantum mechanics
to continuum, engeneering, chemistry, etc. EMMO is compatible with both
the De Broglie - Bohm and the Copenhagen interpretation of quantum
mecanics (see \protect\hyperlink{physical}{\texttt{Physical}} for more
comments).

EMMO defines a physics-based parthood hierachy under \texttt{Physical}
by introducing the following concepts (illustrated in the figure below):

\begin{itemize}
\item
  \protect\hyperlink{elementary}{\texttt{Elementary}} is the
  fundamental, non-divisible constituent of entities. In EMMO,
  elementaries are based on the standard model of physics.
\item
  \protect\hyperlink{state}{\texttt{State}} is a \texttt{Physical} whose
  parts does not change during its life time (at the chosen level of
  granularity). This is consistent with a state within
  e.g.~thermodynamics.
\item
  \protect\hyperlink{existent}{\texttt{Existent}} is a succession of
  states.
\end{itemize}

\begin{figure}
\centering
\includegraphics[width=6.25in,height=\textheight]{figs/physical.png}
\caption{Parthood hierachy under \texttt{Physical}.}
\end{figure}

\hypertarget{metrology}{%
\subsection{Metrology}\label{metrology}}

Metrology is the science of measurements. It introduces units and links
them to properties. The description of metrology in EMMO is based on the
standards of
\href{https://en.wikipedia.org/wiki/International_System_of_Quantities}{International
System of Quantities (ISQ)} and
\href{https://en.wikipedia.org/wiki/International_System_of_Units}{International
System of Units (SI)}.

\hypertarget{description-logic}{%
\subsection{Description logic}\label{description-logic}}

\href{https://en.wikipedia.org/wiki/Description_logic}{Description logic
(DL)} is a formal knowledge representation language in which the
\emph{axioms} are expressed. It is less expressive than
\href{https://en.wikipedia.org/wiki/First-order_logic}{first-order logic
(FOL)}, but commonly used for providing the logical formalism for
ontologies and semantic web. EMMO is expressed in the
\href{https://en.wikipedia.org/wiki/Web_Ontology_Language}{Web Ontology
Language (OWL)}, which in turn is based on DL. This brings along
features like reasoning.

Since it is essential to have a basic notion of OWL and DL, we include
here a very brief overview. For a proper introduction to OWL and DL, we
refer the reader to sources like
\href{http://www.cs.ox.ac.uk/boris.motik/pubs/ghmppss08next-steps.pdf}{Grau
et.al. (2008)}, \href{https://www.w3.org/TR/owl2-primer/}{OWL2 Primer}
and \href{https://www.w3.org/TR/owl-ref/}{OWL Reference}.

OWL distinguishes between six types of class descriptions:

\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\tightlist
\item
  a class identifier (a IRI reference)
\item
  an exhaustive enumeration of individuals that together form the
  instances of a class (\texttt{owl:oneOf})
\item
  a property restriction (\texttt{owl:someValuesFrom},
  \texttt{owl:allValuesFrom}, \texttt{owl:hasValue},
  \texttt{owl:cardinality}, \texttt{owl:minCardinality},
  \texttt{owl:maxCardinality})
\item
  the intersection of two or more class descriptions
  (\texttt{owl:intersectionOf})
\item
  the union of two or more class descriptions (\texttt{owl:unionOf})
\item
  the complement of a class description (\texttt{owl:complementOf})
\end{enumerate}

Except for the first, all of these refer to \emph{defined classes}. The
table below shows the notation in OWL, DL and the
\href{http://ceur-ws.org/Vol-216/submission_9.pdf}{Manchester OWL
syntax}, all commonly used for the definitions. The Manchester syntax is
used by \href{https://protege.stanford.edu/}{Protege} and is designed to
not use DL symbols and to be easy and quick to read and write. Several
other syntaxes exist for DL. An interesting example is the pure Python
syntax proposed by
\href{http://www.lesfleursdunormal.fr/_downloads/article_owlready_aim_2017.pdf}{Lamy
(2017)}, which is used in the open source
\href{https://pythonhosted.org/Owlready2/}{Owlready2} Python package.
The \href{https://github.com/emmo-repo/EMMO-python}{Python API for EMMO}
is also based on Owlready2.

\begin{longtable}[]{@{}lllll@{}}
\caption{Notation for DL and Protege. \emph{A} and \emph{B} are classes,
\emph{R} is an active relation, \emph{S} is an passive relation,
\emph{a} and \emph{b} are individuals and \emph{n} is a literal.
Inspired by the
\href{http://www.lesfleursdunormal.fr/static/_downloads/great_ontology_table.pdf}{Great
table of Description Logics}.}\tabularnewline
\toprule
\begin{minipage}[b]{0.15\columnwidth}\raggedright
DL\strut
\end{minipage} & \begin{minipage}[b]{0.15\columnwidth}\raggedright
Manchester\strut
\end{minipage} & \begin{minipage}[b]{0.21\columnwidth}\raggedright
\href{https://pythonhosted.org/Owlready2/}{Python + Owlready2}\strut
\end{minipage} & \begin{minipage}[b]{0.17\columnwidth}\raggedright
Read\strut
\end{minipage} & \begin{minipage}[b]{0.17\columnwidth}\raggedright
Meaning\strut
\end{minipage}\tabularnewline
\midrule
\endfirsthead
\toprule
\begin{minipage}[b]{0.15\columnwidth}\raggedright
DL\strut
\end{minipage} & \begin{minipage}[b]{0.15\columnwidth}\raggedright
Manchester\strut
\end{minipage} & \begin{minipage}[b]{0.21\columnwidth}\raggedright
\href{https://pythonhosted.org/Owlready2/}{Python + Owlready2}\strut
\end{minipage} & \begin{minipage}[b]{0.17\columnwidth}\raggedright
Read\strut
\end{minipage} & \begin{minipage}[b]{0.17\columnwidth}\raggedright
Meaning\strut
\end{minipage}\tabularnewline
\midrule
\endhead
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\textbf{Constants}\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\top\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
Thing\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
top\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A special class with every individual as an instance\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\bot\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
Nothing\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
bottom\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
The empty class\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\textbf{Axioms}\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\doteq B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A is defined to be equal to B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{definition}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\sqsubseteq B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
A subclass\_of B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
class A(B): \ldots{}\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
all A are B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{inclusion}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
issubclass(A, B)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Test for \emph{inclusion}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\equiv B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
A equivalent\_to B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
A.equivalent\_to.append(B)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A is equivalent to B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{equivalence}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
B in A.equivalent\_to\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Test for equivalence\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(a:A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
a is\_a A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
a = A()\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
a is a A\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{assertion} (\emph{instantiation})\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
isinstance(a, A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Test for instance of\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\((a,b):R\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
a object property assertion b\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
a.R.append(b)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
a is R-related to b\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Property \emph{assertion}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\((a,n):R\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
a data property assertion n\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
a.R.append(n)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
a is R-related to n\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Data \emph{assertion}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\textbf{Constructions}\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\sqcap B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
A and B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
A \& B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A and B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{intersection} (\emph{conjunction})\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\sqcup B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
A or B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
A \textbar{} B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A or B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{union} (\emph{disjunction})\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\lnot A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
not A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
Not(A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
not A\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{complement} (\emph{negation})\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\{a, b, ...\}\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\{a, b, \ldots{}\}\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
OneOf({[}a, b, \ldots{}{]})\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
one of a, b, \ldots{}\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Class \emph{enumeration}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(S\equiv R^-\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
S inverse\_of R\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
Inverse(R)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
S is inverse of R\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Property \emph{inverse}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
S.inverse == R\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Test for \emph{inverse}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\forall R.A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R only A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.only(A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
all A with R\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\href{https://en.wikipedia.org/wiki/Universal_quantifier}{\emph{Universal
restriction}}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\exists R.A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R some A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.some(A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
some A with R\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\href{https://en.wikipedia.org/wiki/Universal_quantifier}{\emph{Existential
restriction}}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(=n R.A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R exactly n A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.exactly(n, A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\emph{Cardinality restriction}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\leq n R.A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R min n A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.min(n, A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\emph{Minimum cardinality restriction}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\geq n R.A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R max n A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.max(n, A)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\emph{Minimum cardinality restriction}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\exists R\{a\}\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R value a\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.value(a)\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\emph{Value restriction}\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\textbf{Decompositions}\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(A\sqcup B \sqsubseteq\bot\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
A disjoint with B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
AllDisjoint({[}A, B{]})\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
A disjoint with B\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Disjoint\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
B in A.disjoints()\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Test for disjointness\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\exists R.\top \sqsubseteq A\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R domain A\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.domain = \protect\hyperlink{a}{A}\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
Classes that the restriction applies to\strut
\end{minipage}\tabularnewline
\begin{minipage}[t]{0.15\columnwidth}\raggedright
\(\top\sqsubseteq \forall R.B\)\strut
\end{minipage} & \begin{minipage}[t]{0.15\columnwidth}\raggedright
R range B\strut
\end{minipage} & \begin{minipage}[t]{0.21\columnwidth}\raggedright
R.range = \protect\hyperlink{b}{B}\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
\strut
\end{minipage} & \begin{minipage}[t]{0.17\columnwidth}\raggedright
All classes that can be the value of the restriction\strut
\end{minipage}\tabularnewline
\bottomrule
\end{longtable}

\hypertarget{examples}{%
\subsubsection{Examples}\label{examples}}

Here are some examples of different class descriptions using both the DL
and Manchester notation.

\hypertarget{equivalence-owlequivalentto}{%
\paragraph{\texorpdfstring{Equivalence
(\texttt{owl:equivalentTo})}{Equivalence (owl:equivalentTo)}}\label{equivalence-owlequivalentto}}

Equivalence (\(\equiv\)) defines necessary and sufficient conditions.

Parent is equivalent to mother or father

\textbf{DL:} \texttt{parent} \(\equiv\) \texttt{mother} \(\lor\)
\texttt{father}

\textbf{Manchester:} \texttt{parent\ equivalent\_to\ mother\ or\ father}

\hypertarget{inclusion-rdfsubclassof}{%
\paragraph{\texorpdfstring{Inclusion
(\texttt{rdf:subclassOf})}{Inclusion (rdf:subclassOf)}}\label{inclusion-rdfsubclassof}}

Inclusion (\(\sqsubseteq\)) defines necessary conditions.

An employee is a person.

\textbf{DL:} \texttt{employee} \(\sqsubseteq\) \texttt{person}

\textbf{Manchester:} \texttt{employee\ is\_a\ person}

\hypertarget{enumeration-owloneof}{%
\paragraph{\texorpdfstring{Enumeration
(\texttt{owl:oneOf})}{Enumeration (owl:oneOf)}}\label{enumeration-owloneof}}

The color of a wine is either white, rose or red:

\textbf{DL:} \texttt{wine\_color} \(\equiv\) \{\texttt{white},
\texttt{rose}, \texttt{red}\}

\textbf{Manchester:}
\texttt{wine\_color\ equivalent\_to\ \{white,\ rose,\ red\}}

\hypertarget{existential-restriction-owlsomevaluesfrom}{%
\paragraph{\texorpdfstring{Existential restriction
(\texttt{owl:someValuesFrom})}{Existential restriction (owl:someValuesFrom)}}\label{existential-restriction-owlsomevaluesfrom}}

A mother is a woman that has a child (some person):

\textbf{DL:} \texttt{mother} \(\equiv\) \texttt{woman} \(\sqcap\)
\(\exists\)\texttt{has\_child}.\texttt{person}

\textbf{Manchester:}
\texttt{mother\ equivalent\_to\ woman\ and\ has\_child\ some\ person}

\hypertarget{universal-restriction-owlallvaluesfrom}{%
\paragraph{\texorpdfstring{Universal restriction
(\texttt{owl:allValuesFrom})}{Universal restriction (owl:allValuesFrom)}}\label{universal-restriction-owlallvaluesfrom}}

All parents that only have daughters:

\textbf{DL:} \texttt{parents\_with\_only\_daughters} \(\equiv\)
\texttt{person} \(\sqcap\) \(\forall\)\texttt{has\_child}.\texttt{woman}

\textbf{Manchester:}
\texttt{parents\_with\_only\_daughters\ equivalent\_to\ person\ and\ has\_child\ only\ woman}

\hypertarget{value-restriction-owlhasvalue}{%
\paragraph{\texorpdfstring{Value restriction
(\texttt{owl:hasValue})}{Value restriction (owl:hasValue)}}\label{value-restriction-owlhasvalue}}

The owl:hasValue restriction allows to define classes based on the
existence of particular property values. There must be at least one
matching property value.

All children of Mary:

\textbf{DL:} \texttt{Marys\_children} \(\equiv\) \texttt{person}
\(\sqcap\) \(\exists\)\texttt{has\_parent}.\{\texttt{Mary}\}

\textbf{Manchester:}
\texttt{Marys\_children\ equivalent\_to\ person\ and\ has\_parent\ value\ Mary}

\hypertarget{property-cardinality-owlcardinality}{%
\paragraph{\texorpdfstring{Property cardinality
(\texttt{owl:cardinality})}{Property cardinality (owl:cardinality)}}\label{property-cardinality-owlcardinality}}

The owl:cardinality restrictions (\(\geq\), \(\leq\) or \(\equiv\))
allow to define classes based on the maximum (owl:maxCardinality),
minimum (owl:minCardinality) or exact (owl:cardinality) number of
occurences.

A person with one parent:

\textbf{DL:} \texttt{half\_orphant} \(\equiv\) \texttt{person} and
=1\texttt{has\_parent}.\texttt{person}

\textbf{Manchester:}
\texttt{half\_orphant\ equivalent\_to\ person\ and\ has\_parent\ exactly\ 1\ person}

\hypertarget{intersection-owlintersectionof}{%
\paragraph{\texorpdfstring{Intersection
(\texttt{owl:intersectionOf})}{Intersection (owl:intersectionOf)}}\label{intersection-owlintersectionof}}

Individuals of the intersection (\(\sqcap\)) of two classes, are
simultaneously instances of both classes.

A man is a person that is male:

\textbf{DL:} \texttt{man} \(\equiv\) \texttt{person} \(\sqcap\)
\texttt{male}

\textbf{Manchester:} \texttt{man\ equivalent\_to\ person\ and\ male}

\hypertarget{union-owlunionof}{%
\paragraph{\texorpdfstring{Union
(\texttt{owl:unionOf})}{Union (owl:unionOf)}}\label{union-owlunionof}}

Individuals of the union (\(\sqcup\)) of two classes, are either
instances of one or both classes.

A person is a man or woman:

\textbf{DL:} \texttt{person} \(\equiv\) \texttt{man} \(\sqcup\)
\texttt{woman}

\textbf{Manchester:} \texttt{person\ equivalent\_to\ man\ or\ woman}

\hypertarget{complement-owlcomplementof}{%
\paragraph{\texorpdfstring{Complement
(\texttt{owl:complementOf})}{Complement (owl:complementOf)}}\label{complement-owlcomplementof}}

Individuals of the complement (\(\lnot\)) of a class, are all
individuals that are not member of the class.

Not a man:

\textbf{DL:} \texttt{female} \(\equiv\) \(\lnot\) \texttt{male}

\textbf{Manchester:} \texttt{female\ equivalent\_to\ not\ male}

\hypertarget{the-structure-of-emmo}{%
\section{The structure of EMMO}\label{the-structure-of-emmo}}

The EMMO ontology is structured in shells, expressed by specific
ontology fragments, that extends from fundamental concepts to the
application domains, following the dependency flow.

\hypertarget{top-level}{%
\subsection{Top Level}\label{top-level}}

The \href{top.owl}{EMMO top level} is the group of fundamental axioms
that constitute the philosophical foundation of the EMMO. Adopting a
physicalistic/nominalistic perspective, the EMMO defines real world
objects as 4D objects that are always extended in space and time
(i.e.~real world objects cannot be spaceless nor timeless). For this
reason abstract objects, i.e.~objects that does not extend in space and
time, are forbidden in the EMMO.

EMMO is strongly based on the analytical philosophy dicipline semiotic.
The role of abstract objects are in EMMO fulfilled by semiotic objects,
i.e.~real world objects (e.g.~symbol or sign) that stand for other real
world objects that are to be interpreted by an agent. These symbols
appear in actions (semiotic processes) meant to communicate meaning by
establishing relationships between symbols (signs).

Another important building block of from analytical philosophy is
atomistic mereology applied to 4D objects. The EMMO calls it `quantum
mereology', since the there is a epistemological limit to how fine we
can resolve space and time due to the uncertanity principles.

The \href{top/mereotopology.owl}{mereotopology} module introduces the
fundamental mereotopological concepts and their relations with the real
world objects that they represent. The EMMO uses mereotopology as the
ground for all the subsequent ontology modules. The concept of
topological connection is used to define the first distinction between
ontology entities namely the \emph{Item} and \emph{Collection} classes.
Items are causally self-connected objects, while collections are
causally disconnected. Quantum mereology is represented by the
\emph{Quantum} class. This module introduces also the fundamental
mereotopological relations used to distinguish between space and time
dimensions.

The \href{top/physical.owl}{physical} module, defines the
\emph{Physical} objects and the concept of \emph{Void} that plays a
fundamental role in the description of multiscale objects and quantum
systems. It also define the \emph{Elementary} class, that restricts
mereological atomism in space.

\begin{figure}
\centering
\includegraphics{figs/top.png}
\caption{The EMMO top level.}
\end{figure}

In EMMO, the only univocally defined real world object is the
\emph{Item} individual called \textbf{Universe} that stands for the
universe. Every other real world object is a composition of elementaries
up to the most comprehensive object; the \textbf{Universe}. Intermediate
objects are not univocally defined, but their definition is provided
according to some specific philosophical perspectives. This is an
expression of reductionism (i.e.~objects are made of sub-objects) and
epistemological pluralism (i.e.~objects are always defined according to
the perspective of an interpreter, or a class of interpreters).

The \emph{Perspective} class collects the different ways to represent
the objects that populate the conceptual region between the elementary
and universe levels.

\hypertarget{middle-level}{%
\subsection{Middle Level}\label{middle-level}}

The middle level ontologies act as roots for extending the EMMO towards
specific application domains.

\begin{figure}
\centering
\includegraphics{figs/Perspectives.png}
\caption{The EMMO perspectives.}
\end{figure}

The \emph{Reductionistic} perspective class uses the fundamental
non-transitive parthood relation, called direct parthood, to provide a
powerful granularity description of multiscale real world objects. The
EMMO can in principle represents the \textbf{Universe} with direct
parthood relations as a direct rooted tree up to its elementary
constituents.

The \emph{Phenomenic} perspective class introduces the concept of real
world objects that express of a recognisable pattern in space or time
that impress the user. Under this class the EMMO categorises e.g.~formal
languages, pictures, geometry, mathematics and sounds. Phenomenic
objects can be used in a semiotic process as signs.

The \emph{Physicalistic} perspective class introduces the concept of
real world objects that have a meaning for the under applied physics
perspective.

The \emph{Holistic} perspective class introduces the concept of real
world objects that unfold in time in a way that has a meaning for the
EMMO user, through the definition of the classes \emph{Process} and
\emph{Participant}. The \href{top/semiotics.owl}{semiotics} module
introduces the concepts of semiotics and the \emph{Semiosis} process
that has a \emph{Sign}, an \emph{Object} and an \emph{Interpreter} as
participants. This forms the basis in EMMO to represent e.g.~models,
formal languages, theories, information and properties.

\begin{figure}
\centering
\includegraphics{figs/Semiotic.png}
\caption{The semiotic level, showing both the taxonomy (open black
arrows) and other relations as listed in the caption. The inverted
arrows corresponds to inverse relations.}
\end{figure}

\hypertarget{emmo-relations}{%
\subsection{EMMO relations}\label{emmo-relations}}

All EMMO relations are subrelations of the relations found in the two
roots: \emph{mereotopological} and \emph{semiotical}. The relation
hierarchy extends more vertically (i.e.~more subrelations) than
horizontally (i.e.~less sibling relations), facilitating the
categorisation and inferencing of individuals. See also the chapter
\protect\hyperlink{emmo-relations}{EMMO Relations}.

Imposing all relations to fall under mereotopology or semiotics is how
the EMMO force the developers to respect its perspectives. Two entities
are related only by contact or parthood (mereotopology) or by standing
one for another (semiosis): no other types of relation are possible
within the EMMO.

A unique feature in EMMO, is the introduction of \emph{direct parthood}.
As illustrated in the figure below, it is a mereological relation that
lacks transitivity. This makes it possible to entities made of parts at
different levels of granularity and to go between granularity levels in
a well-defined manner. This is paramount for cross scale
interoperability. Every material in EMMO is placed on a granularity
level and the ontology gives information about the direct upper and
direct lower level classes using the non-transitive direct parthood
relations.

\begin{figure}
\centering
\includegraphics[width=2.29167in,height=\textheight]{figs/emmo-direct_part.png}
\caption{Direct parthood.}
\end{figure}

\hypertarget{annotations}{%
\subsection{Annotations}\label{annotations}}

All entities and relations in EMMO have some attributes, called
\emph{annotations}. In some cases, only the required \emph{International
Resource Identifier} (IRI) and \emph{relations} are provided. However,
descriptive annotations, like \emph{elucidation} and \emph{comment}, are
planned to be added for all classes and relations. Possible annotations
are:

\begin{itemize}
\tightlist
\item
  \textbf{Elucidation} is a human readable explanation and
  clearification of the documented class or relation.
\item
  \textbf{Example} clearifies the elucidation through an example. A
  class may have several examples, each addressing different aspects.
\item
  \textbf{Comment} is a clearifying note complementing the definition
  and elucidation. A class may have several comments, each clearifying
  different aspects.
\item
  \textbf{IRI} stands for \emph{international resource identifier}. It
  is an identifier that uniquely identifies the class or relation. IRIs
  are similar to URIs, but are not restricted to the ASCII character
  set. In EMMO, the IRIs are now valid URLs pointing to the stable
  version of EMMO.
\item
  \textbf{Relations} is a list of relations applying to the current
  class or relation. The relations for relations are special and will be
  elaborated on in the introduction to chapter {[}Relations{]}. Some of
  the listed relations are defined in the OWL sources, while other are
  inferred by the reasoner. The relations are expressed using the
  Manchester OWL syntax introduced in section
  \protect\hyperlink{description-logic}{Description logic}.
\end{itemize}

\hypertarget{emmo-relations-1}{%
\chapter{EMMO Relations}\label{emmo-relations-1}}

In the language of OWL, relations are called \emph{properties}. However,
since relations describe relations between classes and individuals and
since \protect\hyperlink{Properties}{properties} has an other meaning in
EMMO, we only call them \emph{relations}.

\href{https://en.wikipedia.org/wiki/Resource_Description_Framework}{Resource
Description Framework (RDF)} is a W3C standard that is widely used for
describing informations on the web and is one of the standards that OWL
builds on. RDF expresses information in form of
\emph{subject-predicate-object} triplets. The subject and object are
resources (aka items to describe) and the predicate expresses a
relationship between the subject and the object.

In OWL are the subject and object classes or individuals (or data) while
the predicate is a relation. An example of an relationship is the
statement \emph{dog is\_a animal}. Here \texttt{dog} is the subject,
\texttt{is\_a} the predicate and \texttt{animal} the object.

OWL distingues between \emph{object properties}, that link classes or
individuals to classes or individuals, and \emph{data properties} that
link individuals to data values. Since EMMO only deals with classes, we
will only be discussing object properties. However, in actual simulation
or characterisation applications build on EMMO, datatype propertyes will
be important.

The characteristics of the different properties are described by the
following \emph{property axioms}:

\begin{itemize}
\item
  \texttt{rdf:subPropertyOf} is used to define that a property is a
  subproperty of some other property. For instance, in the figure below
  showing the relation branch, we see that \texttt{active\_relation} is
  a subproperty or \texttt{relation}. The \texttt{rdf:subPropertyOf}
  axioms forms a taxonomy-like tree for relations.
\item
  \texttt{owl:equivalentProperty} states that two properties have the
  same property extension.
\item
  \texttt{owl:inverseOf} axioms relate active relations to their
  corresponding passive relations, and vice versa. The root relation
  \texttt{relation} is its own inverse.
\item
  \texttt{owl:FunctionalProperty} is a property that can have only one
  (unique) value y for each instance x, i.e.~there cannot be two
  distinct values y1 and y2 such that the pairs (x,y1) and (x,y2) are
  both instances of this property. Both object properties and datatype
  properties can be declared as ``functional''.
\item
  \texttt{owl:InverseFunctionalProperty}
\item
  \texttt{owl:TransitiveProperty} states that if a pair (x,y) is an
  instance of P, and the pair (y,z) is instance of P, then we can infer
  that the pair (x,z) is also an instance of P.
\item
  \texttt{owl:SymmetricProperty} states that if the pair (x,y) is an
  instance of P, then the pair (y,x) is also an instance of P. A popular
  example of a symmetric property is the \texttt{siblingOf} relation.
\item
  \texttt{rdfs:domain} specifies which classes the property applies to.
  Or said differently, the valid values of the \emph{subject} in a
  \emph{subject-predicate-object} triplet.
\item
  \texttt{rdfs:range} specifies the property extension, i.e.~the valid
  values of the \emph{object} in a \emph{subject-predicate-object}
  triplet.
\end{itemize}

\hypertarget{root-of-emmo-relations}{%
\section{Root of EMMO relations}\label{root-of-emmo-relations}}

\begin{figure}
\centering
\includegraphics[width=4.16667in,height=\textheight]{genfigs/EMMORelationT.pdf}
\caption{Top-level of the EMMO relation hierarchy.}
\end{figure}

\hypertarget{emmorelation}{%
\subsection{EMMORelation}\label{emmorelation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_ec2472ae_cf4a_46a5_8555_1556f5a6c3c5}{http://emmo.info/emmo/top/mereotopology\#EMMO\_ec2472ae\_cf4a\_46a5\_8555\_1556f5a6c3c5}

\textbf{Elucidation:} The superclass of all relations used by the EMMO.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a owl:topObjectProperty
\item
  inverse\_of \protect\hyperlink{emmorelation}{EMMORelation}
\item
  domain \protect\hyperlink{emmo}{EMMO}
\item
  range \protect\hyperlink{emmo}{EMMO}
\end{itemize}

\hypertarget{mereotopological-branch}{%
\section{Mereotopological branch}\label{mereotopological-branch}}

\begin{figure}
\centering
\includegraphics[width=3.89583in,height=\textheight]{genfigs/mereotopologicalT.pdf}
\caption{Mereotopological branch.}
\end{figure}

\hypertarget{mereotopological}{%
\subsection{mereotopological}\label{mereotopological}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_03212fd7_abfd_4828_9c8e_62c293052d4b}{http://emmo.info/emmo/top/mereotopology\#EMMO\_03212fd7\_abfd\_4828\_9c8e\_62c293052d4b}

\textbf{Elucidation:} The superclass of all EMMO mereotopological
relations.

\textbf{Comment:} Mereotopology merges mereological and topological
concepts and provides relations between wholes, parts, boundaries, etc.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{emmorelation}{EMMORelation}
\item
  Inverse(mereotopology.EMMORelation)
\item
  inverse\_of \protect\hyperlink{mereotopological}{mereotopological}
\end{itemize}

\hypertarget{disconnected}{%
\subsection{disconnected}\label{disconnected}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_517dfaf9_4970_41ac_81ee_d031627d2c7c}{http://emmo.info/emmo/top/mereotopology\#EMMO\_517dfaf9\_4970\_41ac\_81ee\_d031627d2c7c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a \protect\hyperlink{mereotopological}{mereotopological}
\item
  Inverse(mereotopology.mereotopological)
\item
  inverse\_of \protect\hyperlink{disconnected}{disconnected}
\end{itemize}

\hypertarget{connected-branch}{%
\section{Connected branch}\label{connected-branch}}

\begin{figure}
\centering
\includegraphics[width=4.63542in,height=\textheight]{genfigs/connectedT.pdf}
\caption{Connected branch.}
\end{figure}

\hypertarget{overcrosses}{%
\subsection{overcrosses}\label{overcrosses}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_9cb984ca_48ad_4864_b09e_50d3fff19420}{http://emmo.info/emmo/top/mereotopology\#EMMO\_9cb984ca\_48ad\_4864\_b09e\_50d3fff19420}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a \protect\hyperlink{hasoverlapwith}{hasOverlapWith}
\item
  Inverse(mereotopology.hasOverlapWith)
\item
  inverse\_of \protect\hyperlink{overcrosses}{overcrosses}
\end{itemize}

\hypertarget{hascontactwith}{%
\subsection{hasContactWith}\label{hascontactwith}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_4d6504f1_c470_4ce9_b941_bbbebc9ab05d}{http://emmo.info/emmo/top/mereotopology\#EMMO\_4d6504f1\_c470\_4ce9\_b941\_bbbebc9ab05d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a \protect\hyperlink{connected}{connected}
\item
  Inverse(mereotopology.connected)
\item
  inverse\_of \protect\hyperlink{hascontactwith}{hasContactWith}
\end{itemize}

\hypertarget{encloses}{%
\subsection{encloses}\label{encloses}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_8c898653_1118_4682_9bbf_6cc334d16a99}{http://emmo.info/emmo/top/mereotopology\#EMMO\_8c898653\_1118\_4682\_9bbf\_6cc334d16a99}

\textbf{Comment:} Enclosure is reflexive and transitive.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{connected}{connected}
\item
  Inverse(mereotopology.connected)
\end{itemize}

\hypertarget{connected}{%
\subsection{connected}\label{connected}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_6703954e_34c4_4a15_a9e7_f313760ae1a8}{http://emmo.info/emmo/top/mereotopology\#EMMO\_6703954e\_34c4\_4a15\_a9e7\_f313760ae1a8}

\textbf{Comment:} Causality is a topological property between connected
items.

\textbf{Comment:} Items being connected means that there is a
topological contact or ``interaction'' between them.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a \protect\hyperlink{mereotopological}{mereotopological}
\item
  Inverse(mereotopology.mereotopological)
\item
  inverse\_of \protect\hyperlink{connected}{connected}
\end{itemize}

\hypertarget{hasoverlapwith}{%
\subsection{hasOverlapWith}\label{hasoverlapwith}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_d893d373_b579_4867_841e_1c2b31a8d2c6}{http://emmo.info/emmo/top/mereotopology\#EMMO\_d893d373\_b579\_4867\_841e\_1c2b31a8d2c6}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:SymmetricProperty
\item
  is\_a \protect\hyperlink{connected}{connected}
\item
  Inverse(mereotopology.connected)
\item
  inverse\_of \protect\hyperlink{hasoverlapwith}{hasOverlapWith}
\end{itemize}

\hypertarget{has-part-branch}{%
\section{Has Part branch}\label{has-part-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/hasPartT.pdf}
\caption{Has Part branch.}
\end{figure}

\hypertarget{hasproperparticipant}{%
\subsection{hasProperParticipant}\label{hasproperparticipant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/holistic\#emmo_c5aae418_1622_4d02_93c5_21159e28e6c1}{http://emmo.info/emmo/middle/holistic\#EMMO\_c5aae418\_1622\_4d02\_93c5\_21159e28e6c1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hasparticipant}{hasParticipant}
\item
  is\_a \protect\hyperlink{hasproperpart}{hasProperPart}
\end{itemize}

\hypertarget{hastemporaldirectpart}{%
\subsection{hasTemporalDirectPart}\label{hastemporaldirectpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_65a2c5b8_e4d8_4a51_b2f8_e55effc0547d}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_65a2c5b8\_e4d8\_4a51\_b2f8\_e55effc0547d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:InverseFunctionalProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hastemporalpart}{hasTemporalPart}
\item
  domain \protect\hyperlink{existent}{Existent}
\item
  range \protect\hyperlink{state}{State}
\end{itemize}

\hypertarget{hasproperpart}{%
\subsection{hasProperPart}\label{hasproperpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_9380ab64_0363_4804_b13f_3a8a94119a76}{http://emmo.info/emmo/top/mereotopology\#EMMO\_9380ab64\_0363\_4804\_b13f\_3a8a94119a76}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{haspart}{hasPart}
\end{itemize}

\hypertarget{hastemporalpart}{%
\subsection{hasTemporalPart}\label{hastemporalpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_7afbed84_7593_4a23_bd88_9d9c6b04e8f6}{http://emmo.info/emmo/top/physical\#EMMO\_7afbed84\_7593\_4a23\_bd88\_9d9c6b04e8f6}

\textbf{Elucidation:} A relation that isolate a proper part that covers
the total spatial extension of a whole within a time interval.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{hasproperpart}{hasProperPart}
\item
  domain \protect\hyperlink{item}{Item}
\item
  range \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{hasparticipant}{%
\subsection{hasParticipant}\label{hasparticipant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/holistic\#emmo_ae2d1a96_bfa1_409a_a7d2_03d69e8a125a}{http://emmo.info/emmo/middle/holistic\#EMMO\_ae2d1a96\_bfa1\_409a\_a7d2\_03d69e8a125a}

\textbf{Elucidation:} The relation between a process and an object
participating to it.

\textbf{Comment:} Participation is a parthood relation: you must be part
(and then be connected) of the process to contribute to it.

\textbf{Comment:} Participation is not under direct parthood since a
process is not strictly related to reductionism, but it's a way to
categorize temporal regions by the interpreters.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{haspart}{hasPart}
\item
  domain \protect\hyperlink{process}{Process}
\item
  range \protect\hyperlink{participant}{Participant}
\end{itemize}

\hypertarget{hasquantityvalue}{%
\subsection{hasQuantityValue}\label{hasquantityvalue}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_8ef3cd6d_ae58_4a8d_9fc0_ad8f49015cd0}{http://emmo.info/emmo/middle/metrology\#EMMO\_8ef3cd6d\_ae58\_4a8d\_9fc0\_ad8f49015cd0}

\textbf{Comment:} Relates a quantity to its reference unit through
spatial direct parthood.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:FunctionalProperty
\item
  is\_a owl:InverseFunctionalProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart}
\item
  domain \protect\hyperlink{quantity}{Quantity}
\item
  range \protect\hyperlink{numerical}{Numerical}
\end{itemize}

\hypertarget{hasspatialpart}{%
\subsection{hasSpatialPart}\label{hasspatialpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_f68030be_94b8_4c61_a161_886468558054}{http://emmo.info/emmo/top/physical\#EMMO\_f68030be\_94b8\_4c61\_a161\_886468558054}

\textbf{Elucidation:} A relation that isolates a proper part that
extends itself in time within the overall lifetime of the whole, without
covering the full spatial extension of the 4D whole (i.e.~is not a
temporal part).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{hasproperpart}{hasProperPart}
\item
  domain \protect\hyperlink{item}{Item}
\item
  range \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{hasmember}{%
\subsection{hasMember}\label{hasmember}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_6b7276a4_4b9d_440a_b577_0277539c0fc4}{http://emmo.info/emmo/top/mereotopology\#EMMO\_6b7276a4\_4b9d\_440a\_b577\_0277539c0fc4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hasproperpart}{hasProperPart}
\item
  domain \protect\hyperlink{collection}{Collection}
\item
  range \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{hasspatiotemporalpart}{%
\subsection{hasSpatioTemporalPart}\label{hasspatiotemporalpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_6e046dd0_9634_4013_b2b1_9cc468087c83}{http://emmo.info/emmo/top/physical\#EMMO\_6e046dd0\_9634\_4013\_b2b1\_9cc468087c83}

\textbf{Elucidation:} A relation that isolates a proper part that
extends itself in time through a portion of the lifetime whole.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{hasproperpart}{hasProperPart}
\item
  domain \protect\hyperlink{item}{Item}
\item
  range \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{haspart}{%
\subsection{hasPart}\label{haspart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_17e27c22_37e1_468c_9dd7_95e137f73e7f}{http://emmo.info/emmo/top/mereotopology\#EMMO\_17e27c22\_37e1\_468c\_9dd7\_95e137f73e7f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:TransitiveProperty
\item
  is\_a \protect\hyperlink{encloses}{encloses}
\item
  is\_a \protect\hyperlink{hasoverlapwith}{hasOverlapWith}
\item
  Inverse(mereotopology.hasOverlapWith)
\end{itemize}

\hypertarget{hasspatiotemporaldirectpart}{%
\subsection{hasSpatioTemporalDirectPart}\label{hasspatiotemporaldirectpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_663859e5_add3_4c9e_96fb_c99399de278d}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_663859e5\_add3\_4c9e\_96fb\_c99399de278d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:InverseFunctionalProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hasspatiotemporalpart}{hasSpatioTemporalPart}
\end{itemize}

\hypertarget{hasreferenceunit}{%
\subsection{hasReferenceUnit}\label{hasreferenceunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_67fc0a36_8dcb_4ffa_9a43_31074efa3296}{http://emmo.info/emmo/middle/metrology\#EMMO\_67fc0a36\_8dcb\_4ffa\_9a43\_31074efa3296}

\textbf{Comment:} Relates the physical quantity to its unit through
spatial direct parthood.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:FunctionalProperty
\item
  is\_a owl:InverseFunctionalProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart}
\item
  domain \protect\hyperlink{quantity}{Quantity}
\item
  range \protect\hyperlink{referenceunit}{ReferenceUnit}
\end{itemize}

\hypertarget{hasspatialdirectpart}{%
\subsection{hasSpatialDirectPart}\label{hasspatialdirectpart}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_b2282816_b7a3_44c6_b2cb_3feff1ceb7fe}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_b2282816\_b7a3\_44c6\_b2cb\_3feff1ceb7fe}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a owl:InverseFunctionalProperty
\item
  is\_a owl:AsymmetricProperty
\item
  is\_a owl:IrreflexiveProperty
\item
  is\_a \protect\hyperlink{hasspatialpart}{hasSpatialPart}
\item
  domain \protect\hyperlink{state}{State}
\end{itemize}

\hypertarget{semiotical-branch}{%
\section{Semiotical branch}\label{semiotical-branch}}

\begin{figure}
\centering
\includegraphics[width=5.86458in,height=\textheight]{genfigs/semioticalT.pdf}
\caption{Semiotical branch.}
\end{figure}

\hypertarget{hasphysicsdimension}{%
\subsection{hasPhysicsDimension}\label{hasphysicsdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_bed1d005_b04e_4a90_94cf_02bc678a8569}{http://emmo.info/emmo/middle/metrology\#EMMO\_bed1d005\_b04e\_4a90\_94cf\_02bc678a8569}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hasproperty}{hasProperty}
\item
  range \protect\hyperlink{physicsdimension}{PhysicsDimension}
\end{itemize}

\hypertarget{hasinterpretant}{%
\subsection{hasInterpretant}\label{hasinterpretant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_7fb7fe7e_bdf9_4eeb_adad_e384dd5285c6}{http://emmo.info/emmo/top/semiotics\#EMMO\_7fb7fe7e\_bdf9\_4eeb\_adad\_e384dd5285c6}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hassign}{hasSign}
\item
  range \protect\hyperlink{interpretant}{Interpretant}
\end{itemize}

\hypertarget{hassign}{%
\subsection{hasSign}\label{hassign}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_60577dea_9019_4537_ac41_80b0fb563d41}{http://emmo.info/emmo/top/semiotics\#EMMO\_60577dea\_9019\_4537\_ac41\_80b0fb563d41}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{semiotical}{semiotical}
\item
  domain \protect\hyperlink{object}{Object}
\item
  range \protect\hyperlink{sign}{Sign}
\end{itemize}

\hypertarget{hasindex}{%
\subsection{hasIndex}\label{hasindex}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_297999d6_c9e4_4262_9536_bd524d1c6e21}{http://emmo.info/emmo/top/semiotics\#EMMO\_297999d6\_c9e4\_4262\_9536\_bd524d1c6e21}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hassign}{hasSign}
\item
  range \protect\hyperlink{index}{Index}
\end{itemize}

\hypertarget{hasicon}{%
\subsection{hasIcon}\label{hasicon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_39c3815d_8cae_4c8f_b2ff_eeba24bec455}{http://emmo.info/emmo/top/semiotics\#EMMO\_39c3815d\_8cae\_4c8f\_b2ff\_eeba24bec455}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hassign}{hasSign}
\item
  range \protect\hyperlink{icon}{Icon}
\end{itemize}

\hypertarget{hasconvention}{%
\subsection{hasConvention}\label{hasconvention}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_eb3518bf_f799_4f9e_8c3e_ce59af11453b}{http://emmo.info/emmo/top/semiotics\#EMMO\_eb3518bf\_f799\_4f9e\_8c3e\_ce59af11453b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hassign}{hasSign}
\item
  range \protect\hyperlink{conventional}{Conventional}
\end{itemize}

\hypertarget{hasvariable}{%
\subsection{hasVariable}\label{hasvariable}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_3446e167_c576_49d6_846c_215bb8878a55}{http://emmo.info/emmo/middle/math\#EMMO\_3446e167\_c576\_49d6\_846c\_215bb8878a55}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hasconvention}{hasConvention}
\item
  domain \protect\hyperlink{mathematical}{Mathematical}
\item
  range \protect\hyperlink{variable}{Variable}
\end{itemize}

\hypertarget{hasmodel}{%
\subsection{hasModel}\label{hasmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_24c71baf_6db6_48b9_86c8_8c70cf36db0c}{http://emmo.info/emmo/middle/models\#EMMO\_24c71baf\_6db6\_48b9\_86c8\_8c70cf36db0c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hasicon}{hasIcon}
\end{itemize}

\hypertarget{hasproperty}{%
\subsection{hasProperty}\label{hasproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_e1097637_70d2_4895_973f_2396f04fa204}{http://emmo.info/emmo/middle/properties\#EMMO\_e1097637\_70d2\_4895\_973f\_2396f04fa204}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{hasconvention}{hasConvention}
\item
  domain \protect\hyperlink{object}{Object}
\item
  range \protect\hyperlink{property}{Property}
\end{itemize}

\hypertarget{semiotical}{%
\subsection{semiotical}\label{semiotical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_2337e25c_3c60_43fc_a8f9_b11a3f974291}{http://emmo.info/emmo/top/semiotics\#EMMO\_2337e25c\_3c60\_43fc\_a8f9\_b11a3f974291}

\textbf{Elucidation:} The generic EMMO semiotical relation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:ObjectProperty
\item
  is\_a \protect\hyperlink{emmorelation}{EMMORelation}
\item
  Inverse(mereotopology.EMMORelation)
\end{itemize}

\hypertarget{emmo-classes}{%
\chapter{EMMO Classes}\label{emmo-classes}}

\emph{emmo} is a class representing the collection of all the
individuals (signs) that are used in the ontology. Individuals are
declared by the EMMO users when they want to apply the EMMO to represent
the world.

\hypertarget{emmo-branch}{%
\section{EMMO branch}\label{emmo-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/EMMOT.pdf}
\caption{EMMO branch.}
\end{figure}

The root of all classes used to represent the world. It has two
children; \emph{collection} and \emph{item}.

\emph{collection} is the class representing the collection of all the
individuals (signs) that represents a collection of non-connected real
world objects.

\emph{item} Is the class that collects all the individuals that are
members of a set (it's the most comprehensive set individual). It is the
branch of mereotopology.

\hypertarget{void}{%
\subsection{Void}\label{void}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_29072ec4_ffcb_42fb_bdc7_26f05a2e9873}{http://emmo.info/emmo/top/physical\#EMMO\_29072ec4\_ffcb\_42fb\_bdc7\_26f05a2e9873}

\textbf{Elucidation:} A `Item' that has no `Physical' parts.

\textbf{Comment:} From Latin vacuus, ``empty''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{item}{Item}
\item
  \protect\hyperlink{haspart}{hasPart} only
  \protect\hyperlink{void}{Void}
\item
  disjoint\_with \protect\hyperlink{physical}{Physical},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{physical}{%
\subsection{Physical}\label{physical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_c5ddfdba_c074_4aa4_ad6b_1ac4942d300d}{http://emmo.info/emmo/top/physical\#EMMO\_c5ddfdba\_c074\_4aa4\_ad6b\_1ac4942d300d}

\textbf{Elucidation:} A `Item' that has part some `Elementary' and whose
temporal proper parts are only `Physical'-s (i.e.~it can be perceived
without interruptions in time).

\textbf{Comment:} A `Physical' is the class that contains all the
individuals that stand for real world objects that interact physically
with the ontologist, i.e.~physical objects.

A physical object must be perceived through physical interaction by the
ontologist. Then the ontologist can declare an individual standing for
the physical object just perceived.

Perception is a subcategory of physical interactions. It is an
interaction that stimulate a representation of the physical object
within the ontologist (the agent).

\textbf{Comment:} A `Physical' must include at least an `Elementary'
part, and can include `Void' parts.

A `Physical' may include as part also the `Void' surrounding or enclosed
by its `Physical' sub parts.

There are no particular criteria for `Physical'-s structure, except that
is made of some `Elementary'-s as proper parts and not only `Void'.

This is done in order to take into account the quantum nature of
physical systems, in which the actual position of sub-components
(e.g.~electrons in an atom) is not known except for its probability
distribution function (according to the Copenhagen interpretation.)

e.g.~a real world object that has spatial parts an atom and a cubic
light year of void, extending for some time, can be a physical object.

\textbf{Comment:} A `Physical' with dimensions other than 4D cannot
exist, following the restriction of the parent `EMMO' class.

It follows from the fact that perception is always unfolding in time.

e.g.~you always have an aperture time when you take a picture or measure
a property. Instantaneous perceptions are idealizations (abstractions)
or a very small time measurement.

\textbf{Comment:} From Latin physica ``study of nature'' (and Ancient
Greek
\(\upvarphi\)\(\upupsilon\)\(\upsigma\)\(\upiota\)\(\upkappa\)\(\acute{o}\)\(\upvarsigma\),
``natural'').

Here the word relates to things perceived through the senses as opposed
to the mind; tangible or concrete.

\textbf{Comment:} In the EMMO there are no relations such as
occupiesSpace, since `Physical'-s are themselves the 4D regions.

\textbf{Comment:} The EMMO can be used to represent real world entities
as `Physical'-s that are easy to connect to classical or quantum
mechanical based models.

Classical mechanics poses no representational issues, for the EMMO: the
4D representation of `Physical'-s is consistent with classical physics
systems.

However, the representation of `Physical'-s that are typically analized
through quantum mechanics (e.g.~molecules, atoms, clusters), is not
straightforward.

\begin{enumerate}
\def\labelenumi{\arabic{enumi})}
\tightlist
\item
  De Broglie - Bohm interpretation The most simple approach is to rely
  on Bohmian mechanics, in which each particle is supposed to exists in
  a specific position between measurements (hidden variables approach),
  while its trajectory is calculated using a Guiding Equation based on a
  quantum field calculated with the Schroedinger Equation.
\end{enumerate}

While this approach is really easy to implement in an ontology, since
each entity has its own well defined 4D region, its mathematical
representation failed to receive large consensus due to the difficulties
to include relativistic effects, to be extended to subnuclear scale and
the strong non-locality assumtpion of the quantum field.

Nevertheless, the Bohmian mechanics is a numerical approach that is used
in electronic models to reduce the computational effort of the solution
of Schroedinger Equation.

In practice, an EMMO user can declare a `physical' individual that stand
for the whole quantum system to be described, and at the same time all
sub-parts individuals can be declared, having them a well defined
position in time, according to De Broglie - Bohm interpretation. The
Hamiltonian can be calculated by considering the sub-part individuals.

`physical'-s are then made of `physical' parts and `void' parts that
stand for the space between `physical'-s (e.g.~the void between
electrons and nucleus in an atom).

\begin{enumerate}
\def\labelenumi{\arabic{enumi})}
\setcounter{enumi}{1}
\tightlist
\item
  Copenhagen interpretation In this interpretation the properties
  (e.g.~energy level, position, spin) of a particle are not defined in
  the interval between two measurements and the quantum system is
  entangled (i.e.~properties of particles in the sysyem are correlated)
  and described by a global wavefunction obtained solving the
  Schroedinger Equation.
\end{enumerate}

Upon measurement, the wavefunction collapses to a combination of close
eigenstates that provide information about bservables of the system
components (e.g.~position, energy).

The EMMO can be used to represent `physical'-s that can be related to
Copenhagen based models. In practice, the user should follow these
steps:

\begin{enumerate}
\def\labelenumi{\alph{enumi})}
\item
  define the quantum system as a `physical' individual (e.g.~an H2
  molecule) under a specific class (e.g. `h2\_molecule'). This
  individual is the whole.
\item
  define the axioms of the class that describe how many sub-parts are
  expected for the whole and their class types (e.g. `h2\_molecule' has
  axioms `has\_proper\_part exactly 2 electron' and 'has\_proper\_part
  exactly 2 nucleus)
\item
  the user can now connect the whole to a Schroedinger equation based
  model whose Hamiltonian is calculated trough the information coming
  only from the axioms. No individuals are declared for the subparts!
\item
  a measurement done on the quantum system that provides information on
  the sub-part observables is interpreted as wavefunction collapse and
  leads to the end of the whole and the declaration of the sub-parts
  individuals which can be themselves other quantum systems
\end{enumerate}

e.g.~if the outer electron of the H2 molecule interacts with another
entity defining its state, then the whole that stands for the entangled
H2 molecule becomes a `physical' made of an electron individual, a
quantum system made of one electron and two nuclei and the void between
them.

e.g.~in the Born-Oppenheimer approximation the user represent the atom
by un-entangling nucleus and electronic cloud. The un-entanglement comes
in the form of declaration of individual as parts.

e.g.~the double slit experiment can be represent in the EMMO as: a)
before the slit: a `physical' that extend in space and has parts
`electron' and `void', called `single\_electron\_wave\_function'.
`electron' and `void' are only in the axioms and not decalred
individuals. b) during slit passage: a `physical' made of one declared
individual, the `electron'. c) after the slit: again
`single\_electron\_wave\_function' d) upon collision with the detector:
`physical' made of one declared individual, the `electron'.

\textbf{Comment:} The purpose of the `Physical' branch is to provide a
representation of the real world objects, while the models used to name,
explain or predict the behaviour of the real world objects lay under the
`Semiotic' branch.

More than one semiotic representation can be connected to the same
`Physical'.

e.g.~Navier-Stokes or Euler equation applied to the same fluid are an
example of mathematical model used to represent a physical object for
some specific interpreter.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{item}{Item}
\item
  \protect\hyperlink{haspart}{hasPart} some
  \protect\hyperlink{elementary}{Elementary}
\item
  \protect\hyperlink{hastemporalpart}{hasTemporalPart} only
  \protect\hyperlink{physical}{Physical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\textbf{Individuals:}

\begin{itemize}
\tightlist
\item
  \protect\hyperlink{universe}{Universe}
\end{itemize}

\hypertarget{emmo}{%
\subsection{EMMO}\label{emmo}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_802d3e92_8770_4f98_a289_ccaaab7fdddf}{http://emmo.info/emmo/top/mereotopology\#EMMO\_802d3e92\_8770\_4f98\_a289\_ccaaab7fdddf}

\textbf{Elucidation:} The class representing the collection of all the
individuals declared in this ontology standing for real world objects.

\textbf{Comment:} `EMMO' is the disjoint union of `Item' and
`Collection' (covering axiom).

The union implies that `EMMO' individuals can only be `Item' individuals
(standing for self-connected real world objects) or `Collection'
individuals (standing for a collection of disconnected items).

Disjointness means that a `Collection' individual cannot be an `Item'
individual and viceversa, representing the fact that a real world object
cannot be self-connected and non-self connected at the same time.

\textbf{Comment:} For the EMMO ontologist the whole universe is
represented as a 4D path-connected topological manifold (i.e.~the
spacetime).

A real world object is then a 4D topological sub-region of the universe.

A universe sub-region is isolated and defined as a real world object by
the ontologist. Then, through a semiotic process that occurs at
meta-ontological level (i.e.~outside the ontology). an EMMO ontology
entity (e.g.~an OWL individual) is assigned to represent that real world
object.

The fundamental distinction between real world objects, upon which the
EMMO is based, is self-connectedness: a real world object can be
self-connected xor not self-connected.

\textbf{Comment:} In the EMMO we will refer to the universe as a
Minkowski space, restricting the ontology to special relativity only.
However, exension to general relativity, will adding more complexity,
should not change the overall approach.

\textbf{Comment:} Mereotopology is the fundamental logical
representation used by the EMMO ontologist to characterize the universe
and to provide the definitions to connect real world objects to the EMMO
concepts.

Parthood relations do not change dimensionality of the real world object
referred by an `EMMO' individual, i.e.~every part of a real world object
always retains its 4D dimensionality.

The smallest part of a real world object (i.e.~a part that has no proper
parts) is referred in the EMMO by a `Quantum' individual.

It follows that, for the EMMO, real world objects of dimensionality
lower than 4D (e.g.~surfaces, lines) do not exist.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a owl:Thing
\item
  \protect\hyperlink{haspart}{hasPart} some
  \protect\hyperlink{quantum}{Quantum}
\item
  equivalent\_to Inverse(\protect\hyperlink{haspart}{hasPart}) value
  \protect\hyperlink{universe}{Universe}
\item
  disjoint\_with
\item
  disjoint\_union\_of \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{quantum}{%
\subsection{Quantum}\label{quantum}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_3f9ae00e_810c_4518_aec2_7200e424cf68}{http://emmo.info/emmo/top/mereotopology\#EMMO\_3f9ae00e\_810c\_4518\_aec2\_7200e424cf68}

\textbf{Elucidation:} The class of `EMMO' individuals that stand for
real world objects that can't be further divided in time nor in space.

\textbf{Example:} For a physics based ontology the `Quantum' can stand
for the smallest identifiable portion of spacetime defined by the Planck
limit in length (1.616e-35 m) and time (5.39e-44 s).

However, the quantum mereotopology approach is not restricted only to
physics. For example, in a manpower management ontology, a `Quantum' can
stand for an hour (time) of a worker (space) activity.

\textbf{Comment:} A `Quantum' is the most fundamental subclass of
`Item', since its individuals stand for the smallest possible
self-connected 4D real world objects.

The quantum concept recalls the fact that there is lower epistemological
limit to our knowledge of the universe, related to the uncertainity
principle.

\textbf{Comment:} A `Quantum' stands for a 4D real world object.

\textbf{Comment:} A quantum is the EMMO mereological 4D a-tomic entity.

To avoid confusion with the concept of atom coming from physics, we will
use the expression quantum mereology, instead of a-tomistic mereology.

\textbf{Comment:} From Latin quantum (plural quanta) ``as much as, so
much as;'', introduced in physics directly from Latin by Max Planck,
1900.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{item}{Item}
\item
  is\_a \protect\hyperlink{emmo}{EMMO}
\item
  \protect\hyperlink{hasproperpart}{hasProperPart} only owl:Nothing
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{semiosis}{Semiosis},
  \protect\hyperlink{manufacturing}{Manufacturing}
\end{itemize}

\hypertarget{item}{%
\subsection{Item}\label{item}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_eb3a768e_d53e_4be9_a23b_0714833c36de}{http://emmo.info/emmo/top/mereotopology\#EMMO\_eb3a768e\_d53e\_4be9\_a23b\_0714833c36de}

\textbf{Comment:} A real world object is self-connected if any two parts
that make up the whole are connected to each other (here the concept of
connection is primitive).

Alternatively, using the primitive path-connectivity concept we can
define a self-connected real world object as an object for which each
couple of points is path-connected.

\textbf{Comment:} An `Item' individual stands for a real world
self-connected object which can be represented as a whole made of
connected parts (e.g.~a car made of components).

In the EMMO, connectivity is the topological foundation of causality.

All physical systems, i.e.~systems whose behaviour is explained by
physics laws, are represented only by `Item'-s.

Members of a `Collection' lack of causality connection, i.e.~they do not
constitute a physical system as a whole.

\textbf{Comment:} From Latin item, ``likewise, just so, moreover''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{emmo}{EMMO}
\item
  disjoint\_with \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of \protect\hyperlink{void}{Void},
  \protect\hyperlink{physical}{Physical}
\end{itemize}

\hypertarget{collection}{%
\subsection{Collection}\label{collection}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_2d2ecd97_067f_4d0e_950c_d746b7700a31}{http://emmo.info/emmo/top/mereotopology\#EMMO\_2d2ecd97\_067f\_4d0e\_950c\_d746b7700a31}

\textbf{Elucidation:} The class of all individuals that stand for a real
world not self-connected object.

\textbf{Comment:} A `Collection' individual stands for a
non-self-connected real world object.

A `Collection' individual is related to each `Item' individuals of the
collection (i.e.~the members) through the membership relation.

An `Item' individual stands for a real world self-connected object which
can be represented as a whole made of connected parts (e.g.~a car made
of components).

\textbf{Comment:} Formally, `Collection' is axiomatized as the class of
individuals that hasMember some `Item'.

A `Collection' cannot have as member another `Collection'.

\textbf{Comment:} From Latin collectio, from colligere `gather
together'.

\textbf{Comment:} e.g.~the collection of users of a particular software,
the collection of atoms that have been part of that just dissociated
molecule, or even the collection of atoms that are part of a molecule
considered as single individual non-connected objects and not as a
mereotopological self-connected fusion.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{emmo}{EMMO}
\item
  \protect\hyperlink{hasmember}{hasMember} some
  \protect\hyperlink{item}{Item}
\item
  disjoint\_with \protect\hyperlink{item}{Item}
\end{itemize}

\hypertarget{elementary-branch}{%
\section{Elementary branch}\label{elementary-branch}}

\begin{figure}
\centering
\includegraphics[width=4.61458in,height=\textheight]{genfigs/ElementaryT.pdf}
\caption{Elementary branch.}
\end{figure}

\hypertarget{elementary}{%
\subsection{Elementary}\label{elementary}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/physical\#emmo_0f795e3e_c602_4577_9a43_d5a231aa1360}{http://emmo.info/emmo/top/physical\#EMMO\_0f795e3e\_c602\_4577\_9a43\_d5a231aa1360}

\textbf{Elucidation:} The basic constituent of `item'-s that can be
proper partitioned only in time up to quantum level.

\textbf{Comment:} According to mereology, this should be call
`a-tomistic' in the strict etimological sense of the word (from greek,
a-tomos: un-divisible).

Mereology based on such items is called atomistic mereology.

However, in order not to confuse the lexicon between mereology and
physics (in which an atom is a divisible physical entity) we prefer to
call it `elementary', recalling the concept of elementary particle
coming from the standard particles model.

\textbf{Comment:} From Latin elementārius (``elementary''), from
elementum (``one of the four elements of antiquity; fundamentals'')

\textbf{Comment:} While a `Quantum' is a-tomistic in time and space, an
`elementary' is a-tomistic only in space, recalling the concept of
elementary particle.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  \protect\hyperlink{hastemporalpart}{hasTemporalPart} only
  \protect\hyperlink{elementary}{Elementary}
\item
  \protect\hyperlink{hasspatialpart}{hasSpatialPart} only owl:Nothing
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System}
\end{itemize}

\hypertarget{perspective-branch}{%
\section{Perspective branch}\label{perspective-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PerspectiveT.pdf}
\caption{Perspective branch.}
\end{figure}

\hypertarget{perspective}{%
\subsection{Perspective}\label{perspective}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top\#emmo_49267eba_5548_4163_8f36_518d65b583f9}{http://emmo.info/emmo/top\#EMMO\_49267eba\_5548\_4163\_8f36\_518d65b583f9}

\textbf{Elucidation:} The class of individuals that stand for real world
objects according to a specific representational perspective.

\textbf{Comment:} This class is the practical implementation of the EMMO
pluralistic approach for which that only objective categorization is
provide by the Universe individual and all the `Elementary' individuals.

Between these two extremes, there are several subjective ways to
categorize real world objects, each one provide under a `Perspective'
subclass.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{holistic-branch}{%
\section{Holistic branch}\label{holistic-branch}}

\begin{figure}
\centering
\includegraphics[width=4.80208in,height=\textheight]{genfigs/HolisticT.pdf}
\caption{Holistic branch.}
\end{figure}

\hypertarget{engineered}{%
\subsection{Engineered}\label{engineered}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/manufacturing\#emmo_86ca9b93_1183_4b65_81b8_c0fcd3bba5ad}{http://emmo.info/emmo/middle/manufacturing\#EMMO\_86ca9b93\_1183\_4b65\_81b8\_c0fcd3bba5ad}

\textbf{Elucidation:} A `physical' that stands for a real world object
that has been manufacturedfor a particular purpose.

\textbf{Example:} Car, tire, composite material.

\textbf{Comment:} The `Engineered' branch represents real world objects
that show some level of complexity/heterogeneity in their composition,
and are made for a specific use.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{participant}{Participant}
\item
  Inverse(\protect\hyperlink{hasproperparticipant}{hasProperParticipant})
  some \protect\hyperlink{manufacturing}{Manufacturing}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{holistic}{%
\subsection{Holistic}\label{holistic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/holistic\#emmo_0277f24a_ea7f_4917_81b7_fb0406c8fc62}{http://emmo.info/emmo/middle/holistic\#EMMO\_0277f24a\_ea7f\_4917\_81b7\_fb0406c8fc62}

\textbf{Elucidation:} A union of classes that categorize physicals under
a holistic perspective, meaning that the interest is on the whole 4D
object (process) and the role of its spatial parts (participants)
without going further into its subparts.

\textbf{Comment:} An holistic perspective considers each part of the
whole as equally important, without the need of a granularity hierarchy,
assigning a role to the whole.

Meaning that a molecule of a body can have role in the body evolution,
without caring if its part of a specific organ.

This class allows the picking of parts without necessarily going trough
a rigid hierarchy of compositions (e.g.~body -\textgreater{} organ
-\textgreater{} cell -\textgreater{} molecule).

\textbf{Comment:} Holism (from Greek
\(\acute{\omicron}\)\(\uplambda\)o\(\upvarsigma\) holos ``all, whole,
entire'')

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perspective}{Perspective}
\item
  equivalent\_to \protect\hyperlink{process}{Process} or
  \protect\hyperlink{participant}{Participant}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{system}{%
\subsection{System}\label{system}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/manufacturing\#emmo_e775e341_5687_4d45_b50c_379b098a8c26}{http://emmo.info/emmo/middle/manufacturing\#EMMO\_e775e341\_5687\_4d45\_b50c\_379b098a8c26}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{engineered}{Engineered}
\item
  equivalent\_to \protect\hyperlink{hasspatialpart}{hasSpatialPart} some
  \protect\hyperlink{component}{Component}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{participant}{%
\subsection{Participant}\label{participant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/holistic\#emmo_49804605_c0fe_4538_abda_f70ba1dc8a5d}{http://emmo.info/emmo/middle/holistic\#EMMO\_49804605\_c0fe\_4538\_abda\_f70ba1dc8a5d}

\textbf{Elucidation:} A portion of a `Process' that participates to the
process with a specific role.

\textbf{Comment:} In the EMMO the relation of participation to a process
falls under mereotopology.

Since topological connection means causality, then the only way for a
real world object to participate to a process is to be a part of it.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{holistic}{Holistic}
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  Inverse(\protect\hyperlink{hasparticipant}{hasParticipant}) some
  \protect\hyperlink{process}{Process}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{component}{%
\subsection{Component}\label{component}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/manufacturing\#emmo_494b372c_cfdf_47d3_a4de_5e037c540de8}{http://emmo.info/emmo/middle/manufacturing\#EMMO\_494b372c\_cfdf\_47d3\_a4de\_5e037c540de8}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{engineered}{Engineered}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{semiotic-branch}{%
\section{Semiotic branch}\label{semiotic-branch}}

\begin{figure}
\centering
\includegraphics[width=4.83333in,height=\textheight]{genfigs/SemioticT.pdf}
\caption{Semiotic branch.}
\end{figure}

\hypertarget{semiotic}{%
\subsection{Semiotic}\label{semiotic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_b803f122_4acb_4064_9d71_c1e5fd091fc9}{http://emmo.info/emmo/top/semiotics\#EMMO\_b803f122\_4acb\_4064\_9d71\_c1e5fd091fc9}

\textbf{Elucidation:} The class of individuals that stands for semiotic
objects, i.e.~objects that take part on a semiotic process.

\textbf{Comment:} Semiotic subclasse are defined using Peirce's semiotic
theory.

``Namely, a sign is something, A, which brings something, B, its
interpretant sign determined or created by it, into the same sort of
correspondence with something, C, its object, as that in which itself
stands to C.'' (Peirce 1902, NEM 4, 20--21).

The triadic elements: - `sign': the sign A (e.g.~a name) -
`interpretant': the sign B as the effects of the sign A on the
interpreter (e.g.~the mental concept of what a name means) - `object':
the object C (e.g.~the entity to which the sign A and B refer to)

This class includes also the `interpeter' i.e.~the entity that connects
the `sign' to the `object'

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{participant}{Participant}
\item
  Inverse(\protect\hyperlink{hasproperparticipant}{hasProperParticipant})
  some \protect\hyperlink{semiosis}{Semiosis}
\item
  equivalent\_to \protect\hyperlink{interpreter}{Interpreter} or
  \protect\hyperlink{object}{Object} or \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{sign-branch}{%
\section{Sign branch}\label{sign-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/SignT.pdf}
\caption{Sign branch.}
\end{figure}

\hypertarget{interpretant}{%
\subsection{Interpretant}\label{interpretant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_054af807_85cd_4a13_8eba_119dfdaaf38b}{http://emmo.info/emmo/top/semiotics\#EMMO\_054af807\_85cd\_4a13\_8eba\_119dfdaaf38b}

\textbf{Elucidation:} The interpreter's internal representation of the
object in a semiosis process.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{sign}{%
\subsection{Sign}\label{sign}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_b21a56ed_f969_4612_a6ec_cb7766f7f31d}{http://emmo.info/emmo/top/semiotics\#EMMO\_b21a56ed\_f969\_4612\_a6ec\_cb7766f7f31d}

\textbf{Elucidation:} An `Physical' that is used as sign (``semeion'' in
greek) that stands for another `Physical' through an semiotic process.

\textbf{Example:} A novel is made of chapters, paragraphs, sentences,
words and characters (in a direct parthood mereological hierarchy).

Each of them are `sign'-s.

A character can be the a-tomistic `sign' for the class of texts.

The horizontal segment in the character ``A'' is direct part of ``A''
but it is not a `sign' itself.

For plain text we can propose the ASCII symbols, for math the
fundamental math symbols.

\textbf{Comment:} A `Sign' can have temporal-direct-parts which are
`Sign' themselves.

A `Sign' usually have `sign' spatial direct parts only up to a certain
elementary semiotic level, in which the part is only a `Physical' and no
more a `Sign' (i.e.~it stands for nothing). This elementary semiotic
level is peculiar to each particular system of signs (e.g.~text,
painting).

Just like an `Elementary' in the `Physical' branch, each `Sign' branch
should have an a-tomistic mereological part.

\textbf{Comment:} According to Peirce, `Sign' includes three
subcategories: - symbols: that stand for an object through convention -
indeces: that stand for an object due to causal continguity - icon: that
stand for an object due to similitudes e.g.~in shape or composition

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{semiotic}{Semiotic}
\item
  equivalent\_to \protect\hyperlink{index}{Index} or
  \protect\hyperlink{conventional}{Conventional} or
  \protect\hyperlink{icon}{Icon}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{index}{%
\subsection{Index}\label{index}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_0cd58641_824c_4851_907f_f4c3be76630c}{http://emmo.info/emmo/top/semiotics\#EMMO\_0cd58641\_824c\_4851\_907f\_f4c3be76630c}

\textbf{Elucidation:} A `Sign' that stands for an `Object' due to causal
continguity.

\textbf{Example:} Smoke stands for a combustion process (a fire). My
facial expression stands for my emotional status.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{specialunit}{%
\subsection{SpecialUnit}\label{specialunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_3ee80521_3c23_4dd1_935d_9d522614a3e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_3ee80521\_3c23\_4dd1\_935d\_9d522614a3e2}

\textbf{Elucidation:} A unit symbol that stands for a derived unit.

\textbf{Example:} Pa stands for N/m2 J stands for N m

\textbf{Comment:} Special units are semiotic shortcuts to more complex
composed symbolic objects.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  Inverse(\protect\hyperlink{hassign}{hasSign}) some
  \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{interpreter-branch}{%
\section{Interpreter branch}\label{interpreter-branch}}

\begin{figure}
\centering
\includegraphics[width=4.25in,height=\textheight]{genfigs/InterpreterT.pdf}
\caption{Interpreter branch.}
\end{figure}

\hypertarget{interpreter}{%
\subsection{Interpreter}\label{interpreter}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_0527413c_b286_4e9c_b2d0_03fb2a038dee}{http://emmo.info/emmo/top/semiotics\#EMMO\_0527413c\_b286\_4e9c\_b2d0\_03fb2a038dee}

\textbf{Elucidation:} The entity (or agent, or observer, or cognitive
entity) who connects `Sign', `Interpretant' and `Object'.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{semiotic}{Semiotic}
\item
  \protect\hyperlink{hasspatialpart}{hasSpatialPart} some
  \protect\hyperlink{interpretant}{Interpretant}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{measurementinstrument}{%
\subsection{MeasurementInstrument}\label{measurementinstrument}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_f2d5d3ad_2e00_417f_8849_686f3988d929}{http://emmo.info/emmo/middle/properties\#EMMO\_f2d5d3ad\_2e00\_417f\_8849\_686f3988d929}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{observer}{Observer}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{observer}{%
\subsection{Observer}\label{observer}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_1b52ee70_121e_4d8d_8419_3f97cd0bd89c}{http://emmo.info/emmo/middle/properties\#EMMO\_1b52ee70\_121e\_4d8d\_8419\_3f97cd0bd89c}

\textbf{Elucidation:} An `interpreter' that perceives another `entity'
(the `object') through a specific perception mechanism and produces a
`property' (the `sign') that stands for the result of that particular
perception.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{interpreter}{Interpreter}
\item
  Inverse(\protect\hyperlink{hasparticipant}{hasParticipant}) some
  \protect\hyperlink{observation}{Observation}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{object-branch}{%
\section{Object branch}\label{object-branch}}

\begin{figure}
\centering
\includegraphics[width=4.66667in,height=\textheight]{genfigs/ObjectT.pdf}
\caption{Object branch.}
\end{figure}

\hypertarget{object}{%
\subsection{Object}\label{object}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_6f5af708_f825_4feb_a0d1_a8d813d3022b}{http://emmo.info/emmo/top/semiotics\#EMMO\_6f5af708\_f825\_4feb\_a0d1\_a8d813d3022b}

\textbf{Elucidation:} The object, in Peirce semiotics.

\textbf{Comment:} Here is assumed that the concept of `object' is always
relative to a `semiotic' process. An `object' does not exists per se,
but it's always part of an interpretation.

The EMMO relies on strong reductionism, i.e.~everything real is a
formless collection of elementary particles: we give a meaning to real
world entities only by giving them boundaries and defining them using
`sign'-s.

In this way the `sign'-ed entity become and `object', and the `object'
is the basic entity needed in order to apply a logical formalism to the
real world entities (i.e.~we can speak of it through its sign, and use
logics on it through its sign).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{semiotic}{Semiotic}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{siunitsymbol}{%
\subsection{SIUnitSymbol}\label{siunitsymbol}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_32129fb5_df25_48fd_a29c_18a2f22a2dd5}{http://emmo.info/emmo/middle/siunits\#EMMO\_32129fb5\_df25\_48fd\_a29c\_18a2f22a2dd5}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sicoherentunit}{SICoherentUnit}
\item
  is\_a \protect\hyperlink{object}{Object}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{conventional-branch}{%
\section{Conventional branch}\label{conventional-branch}}

\begin{figure}
\centering
\includegraphics[width=6.92708in,height=\textheight]{genfigs/ConventionalT.pdf}
\caption{Conventional branch.}
\end{figure}

\hypertarget{parameter}{%
\subsection{Parameter}\label{parameter}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_d1d436e7_72fc_49cd_863b_7bfb4ba5276a}{http://emmo.info/emmo/middle/math\#EMMO\_d1d436e7\_72fc\_49cd\_863b\_7bfb4ba5276a}

\textbf{Example:} viscosity in the Navier-Stokes equation

\textbf{Comment:} A `variable' whose value is assumed to be known
independently from the equation, but whose value is not explicitated in
the equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{physicallaw}{%
\subsection{PhysicalLaw}\label{physicallaw}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_9c32fd69_f480_4130_83b3_fb25d9face14}{http://emmo.info/emmo/middle/models\#EMMO\_9c32fd69\_f480\_4130\_83b3\_fb25d9face14}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{naturallaw}{NaturalLaw}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{naturallaw}{%
\subsection{NaturalLaw}\label{naturallaw}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_db9a009e_f097_43f5_9520_6cbc07e7610b}{http://emmo.info/emmo/middle/models\#EMMO\_db9a009e\_f097\_43f5\_9520\_6cbc07e7610b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{theory}{Theory}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{variable}{%
\subsection{Variable}\label{variable}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_1eed0732_e3f1_4b2c_a9c4_b4e75eeb5895}{http://emmo.info/emmo/middle/math\#EMMO\_1eed0732\_e3f1\_4b2c\_a9c4\_b4e75eeb5895}

\textbf{Elucidation:} A `Variable' is a symbolic object that stands for
a numerical defined `Mathematical' object like e.g.~a number, a vector,
a matrix.

\textbf{Example:} x k

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{conventional}{Conventional}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) some
  \protect\hyperlink{mathematical}{Mathematical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{theory}{%
\subsection{Theory}\label{theory}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_8d2d9374_ef3a_47e6_8595_6bc208e07519}{http://emmo.info/emmo/middle/models\#EMMO\_8d2d9374\_ef3a\_47e6\_8595\_6bc208e07519}

\textbf{Elucidation:} A `conventional' that stand for a `physical'.

\textbf{Comment:} The `theory' is e.g.~a proposition, a book or a paper
whose sub-symbols suggest in the mind of the interpreter an interpretant
structure that can represent a `physical'.

It is not an `icon' (like a math equation), because it has no common
resemblance or logical structure with the `physical'.

In Peirce semiotics: legisign-symbol-argument

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{conventional}{Conventional}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{constant}{%
\subsection{Constant}\label{constant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_ae15fb4f_8e4d_41de_a0f9_3997f89ba6a2}{http://emmo.info/emmo/middle/math\#EMMO\_ae15fb4f\_8e4d\_41de\_a0f9\_3997f89ba6a2}

\textbf{Elucidation:} A `varaible' that stand for a well known constant.

\textbf{Example:} \(\uppi\) refers to the constant number
\textasciitilde{}3.14

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{numerical}{Numerical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{conventional}{%
\subsection{Conventional}\label{conventional}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_35d2e130_6e01_41ed_94f7_00b333d46cf9}{http://emmo.info/emmo/top/semiotics\#EMMO\_35d2e130\_6e01\_41ed\_94f7\_00b333d46cf9}

\textbf{Elucidation:} A `Sign' that stands for an `Object' through
convention, norm or habit, without any resemblance to it.

\textbf{Comment:} In Peirce semiotics this kind of sign category is
called symbol. However, since symbol is also used in formal languages,
the name is changed in conventional.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{materiallaw}{%
\subsection{MaterialLaw}\label{materiallaw}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_f19ff3b4_6bfe_4c41_a2b2_9affd39c140b}{http://emmo.info/emmo/middle/models\#EMMO\_f19ff3b4\_6bfe\_4c41\_a2b2\_9affd39c140b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{naturallaw}{NaturalLaw}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{unknown}{%
\subsection{Unknown}\label{unknown}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_fe7e56ce_118b_4243_9aad_20eb9f4f31f6}{http://emmo.info/emmo/middle/math\#EMMO\_fe7e56ce\_118b\_4243\_9aad\_20eb9f4f31f6}

\textbf{Elucidation:} The dependent variable for which an equation has
been written.

\textbf{Example:} Velocity, for the Navier-Stokes equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{property-branch}{%
\section{Property branch}\label{property-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PropertyT.pdf}
\caption{Property branch.}
\end{figure}

\hypertarget{modelledquantitativeproperty}{%
\subsection{ModelledQuantitativeProperty}\label{modelledquantitativeproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_d0200cf1_e4f4_45ae_873f_b9359daea3cd}{http://emmo.info/emmo/middle/properties\#EMMO\_d0200cf1\_e4f4\_45ae\_873f\_b9359daea3cd}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{property}{%
\subsection{Property}\label{property}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_b7bcff25_ffc3_474e_9ab5_01b1664bd4ba}{http://emmo.info/emmo/middle/properties\#EMMO\_b7bcff25\_ffc3\_474e\_9ab5\_01b1664bd4ba}

\textbf{Elucidation:} A `Perceptual' referring to a specific code that
is used as `Conventional' sign to represent an `Object' according to a
specific interaction mechanism by an `Observer'.

(A property is always a partial representation of an `Object' since it
reflects the `Object' capability to be part of a specific `Observation'
process)

\textbf{Example:} Hardness is a subclass of properties.

Vickers hardness is a subclass of hardness that involves the procedures
and instruments defined by the standard hardness test.

\textbf{Example:} Let's define the class `colour' as the subclass of the
properties that involve photon emission and an electromagnetic radiation
sensible observer.

An individual C of this class `colour' can be defined be declaring the
process individual (e.g.~daylight illumination) and the observer
(e.g.~my eyes)

Stating that an entity E has\_property C, we mean that it can be
observed by such setup of process + observer (i.e.~observed by my eyes
under daylight).

This definition can be generalized by using a generic human eye, so that
the observer can be a generic human.

This can be used in material characterization, to define exactly the
type of measurement done, including the instrument type.

\textbf{Comment:} A `Property' is a sort of name or label that we put
upon objects that interact with an observer in the same specific way.

e.g. ``hot'' objects are objects that interact with an observer through
a perception mechanism aimed to perceive an heat source.

\textbf{Comment:} We know real world entities through
observation/perception.

A non-perceivable real world entity does not exist (or it exists on a
plane of existance that has no intersection with us and we can say
nothing about it).

Perception/observation of a real wolrd entity occurs when the entity
stimulate an observer in a peculiar way through a well defined
perception channel.

For this reason each property is related to a specific observation
process which involves a specific observer with its own perception
mechanisms.

The observation process (e.g.~a look, a photo shot, a measurement) is
performed by an observer (e.g.~you, a camera, an instrument) through a
specific perception mechanism (e.g.~retina impression, CMOS excitation,
piezoelectric sensor activation) and involves an observed entity.

An observation is a semiotic process, since it stimulate an interpretant
within the interpreter who can communicate the perception result to
other interpreters through a sign which is the property.

Property subclasses are specializations that depend on the type of
observation processes.

e.g.~the property `colour' is related to a process that involves
emission or interaction of photon and an observer who can perceive
electromagnetic radiation in the visible frequency range.

Properties usually relies on symbolic systems (e.g.~for colour it can be
palette or RGB).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{conventional}{Conventional}
\item
  Inverse(\protect\hyperlink{hasparticipant}{hasParticipant}) some
  \protect\hyperlink{observation}{Observation}
\item
  Inverse(\protect\hyperlink{hasproperty}{hasProperty}) some
  \protect\hyperlink{object}{Object}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty},
  \protect\hyperlink{objectiveproperty}{ObjectiveProperty}
\end{itemize}

\hypertarget{measuredquantitativeproperty}{%
\subsection{MeasuredQuantitativeProperty}\label{measuredquantitativeproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_873b0ab3_88e6_4054_b901_5531e01f14a4}{http://emmo.info/emmo/middle/properties\#EMMO\_873b0ab3\_88e6\_4054\_b901\_5531e01f14a4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{quantitativeproperty}{%
\subsection{QuantitativeProperty}\label{quantitativeproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_dd4a7f3e_ef56_466c_ac1a_d2716b5f87ec}{http://emmo.info/emmo/middle/properties\#EMMO\_dd4a7f3e\_ef56\_466c\_ac1a\_d2716b5f87ec}

\textbf{Elucidation:} A `Quantity' that can be quantified with respect
to a standardized reference physical instance (e.g.~the prototype meter
bar, the kg prototype) or method (e.g.~resilience) through a measurement
process.

\textbf{Comment:} ``A property of a phenomenon, body, or substance,
where the property has a magnitude that can be expressed by means of a
number and a reference'' ISO 80000-1

``A reference can be a measurement unit, a measurement procedure, a
reference material, or a combination of such.'' International vocabulary
of metrology (VIM)

\textbf{Comment:} A quantitative property is always expresssed as a
quantity (i.e.~a number and a reference unit). For the EMMO, a
nominalistic ontology, there is no property as abstract object.

A property is a sign that stands for an object according to a specific
code shared by some observers.

For quantititative properties, one possible code that is shared between
the scientific community (the observers) is the SI system of units.

\textbf{Comment:} Subclasses of `QuantitativeProperty' classify objects
according to the type semiosis that is used to connect the property to
the object (e.g.~by measurement, by convention, by modelling).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantity}{Quantity}
\item
  is\_a \protect\hyperlink{objectiveproperty}{ObjectiveProperty}
\item
  equivalent\_to
  \protect\hyperlink{measuredquantitativeproperty}{MeasuredQuantitativeProperty}
  or
  \protect\hyperlink{modelledquantitativeproperty}{ModelledQuantitativeProperty}
  or
  \protect\hyperlink{conventionalquantitativeproperty}{ConventionalQuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{objectiveproperty}{%
\subsection{ObjectiveProperty}\label{objectiveproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_2a888cdf_ec4a_4ec5_af1c_0343372fc978}{http://emmo.info/emmo/middle/properties\#EMMO\_2a888cdf\_ec4a\_4ec5\_af1c\_0343372fc978}

\textbf{Elucidation:} A `Property' that is determined by each `Observer'
following a well defined `Observation' procedure through a specific
perception channel.

\textbf{Comment:} The word objective does not mean that each observation
will provide the same results. It means that the observation followed a
well defined procedure.

\textbf{Comment:} This class refers to what is commonly known as
physical property, i.e.~a measurable property of physical system,
whether is quantifiable or not.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{property}{Property}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{nominalproperty}{%
\subsection{NominalProperty}\label{nominalproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_909415d1_7c43_4d5e_bbeb_7e1910159f66}{http://emmo.info/emmo/middle/properties\#EMMO\_909415d1\_7c43\_4d5e\_bbeb\_7e1910159f66}

\textbf{Elucidation:} An `ObjectiveProperty' that cannot be quantified.

\textbf{Example:} CFC is a `sign' that stands for the fact that the
morphology of atoms composing the microstructure of an entity is
predominantly Cubic Face Centered

A color is a nominal property.

Sex of a human being.

\textbf{Comment:} ``Property of a phenomenon, body, or substance, where
the property has no magnitude.''

``A nominal property has a value, which can be expressed in words, by
alphanumerical codes, or by other means.''

International vocabulary of metrology (VIM)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{objectiveproperty}{ObjectiveProperty}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{subjectiveproperty}{%
\subsection{SubjectiveProperty}\label{subjectiveproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_251cfb4f_5c75_4778_91ed_6c8395212fd8}{http://emmo.info/emmo/middle/properties\#EMMO\_251cfb4f\_5c75\_4778\_91ed\_6c8395212fd8}

\textbf{Elucidation:} A `Property' that cannot be univocally determined
and depends on an agent (e.g.~a human individual, a community) acting as
black-box.

\textbf{Example:} The beauty of that girl. The style of your clothing.

\textbf{Comment:} The word subjective means that a non-well defined or
an unknown procedure is used for the definition of the property.

This happens due to e.g.~the complexity of the object, the lack of a
underlying model for the representation of the object, the non-well
specified meaning of the property symbols.

A `SubjectiveProperty' cannot be used to univocally compare `Object'-s.

e.g.~you cannot evaluate the beauty of a person on objective basis.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{property}{Property}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{objectiveproperty}{ObjectiveProperty},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{conventionalquantitativeproperty}{%
\subsection{ConventionalQuantitativeProperty}\label{conventionalquantitativeproperty}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_d8aa8e1f_b650_416d_88a0_5118de945456}{http://emmo.info/emmo/middle/properties\#EMMO\_d8aa8e1f\_b650\_416d\_88a0\_5118de945456}

\textbf{Elucidation:} A quantitative property attributed by agreement to
a quantity for a given purpose.

\textbf{Example:} The thermal conductivity of a copper sample in my
laboratory can be assumed to be the conductivity that appears in the
vendor specification. This value has been obtained by measurement of a
sample which is not the one I have in my laboratory. This conductivity
value is then a conventional quantitiative property assigned to my
sample through a semiotic process in which no actual measurement is done
by my laboratory.

If I don't believe the vendor, then I can measure the actual thermal
conductivity. I then perform a measurement process that semiotically
assign another value for the conductivity, which is a measured property,
since is part of a measurement process.

Then I have two different physical quantities that are properties thanks
to two different semiotic processes.

\textbf{Comment:} A property that is associated to an object by
convention, or assumption.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{icon-branch}{%
\section{Icon branch}\label{icon-branch}}

\begin{figure}
\centering
\includegraphics[width=3.75in,height=\textheight]{genfigs/IconT.pdf}
\caption{Icon branch.}
\end{figure}

\hypertarget{model}{%
\subsection{Model}\label{model}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_939483b1_0148_43d1_8b35_851d2cd5d939}{http://emmo.info/emmo/middle/models\#EMMO\_939483b1\_0148\_43d1\_8b35\_851d2cd5d939}

\textbf{Elucidation:} A `sign' that not only stands for a `physical' or
a `process', but it is also a simplified representation, aimed to assist
calculations for its description or for predictions of its behaviour.

A `model' represents a `physical' or a `process' by direct similitude
(e.g.~small scale replica) or by capturing in a logical framework the
relations between its properties (e.g.~mathematical model).

\textbf{Comment:} A `model' prediction is always a prediction of the
properties of an entity, since an entity is known by an interpreter only
through perception.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{icon}{Icon}
\item
  equivalent\_to Inverse(\protect\hyperlink{hasmodel}{hasModel}) some
  \protect\hyperlink{physical}{Physical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{icon}{%
\subsection{Icon}\label{icon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_d7788d1a_020d_4c78_85a1_13563fcec168}{http://emmo.info/emmo/top/semiotics\#EMMO\_d7788d1a\_020d\_4c78\_85a1\_13563fcec168}

\textbf{Elucidation:} A `Sign' that stands for an `Object' by resembling
or imitating it, in shape or by sharing a similar logical structure.

\textbf{Example:} A picture that reproduces the aspect of a person.

An equation that reproduces the logical connection of the properties of
a physical entity.

\textbf{Comment:} Three subtypes of icon are possible:

\begin{enumerate}
\def\labelenumi{(\alph{enumi})}
\item
  the image, which depends on a simple quality (e.g.~picture)
\item
  the diagram, whose internal relations, mainly dyadic or so taken,
  represent by analogy the relations in something (e.g.~math formula,
  geometric flowchart)
\item
  the metaphor, which represents the representative character of a sign
  by representing a parallelism in something else
\end{enumerate}

{[}Wikipedia{]}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{process-branch}{%
\section{Process branch}\label{process-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/ProcessT.pdf}
\caption{Process branch.}
\end{figure}

\hypertarget{physicalphenomenon}{%
\subsection{PhysicalPhenomenon}\label{physicalphenomenon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_314d0bd5_67ed_437e_a609_36d46147cea7}{http://emmo.info/emmo/middle/models\#EMMO\_314d0bd5\_67ed\_437e\_a609\_36d46147cea7}

\textbf{Elucidation:} A `process' that is recognized by physical
sciences and is catogrized accordingly.

\textbf{Comment:} While every `process' in the EMMO involves physical
objects, this class is devoted to represent real world objects that
express a phenomena relevant for the ontologist.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{process}{Process}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{experiment}{%
\subsection{Experiment}\label{experiment}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_22522299_4091_4d1f_82a2_3890492df6db}{http://emmo.info/emmo/middle/models\#EMMO\_22522299\_4091\_4d1f\_82a2\_3890492df6db}

\textbf{Elucidation:} An experiment is a process that is intended to
replicate a physical phenomenon in a controlled environment.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{observation}{Observation}
\item
  \protect\hyperlink{hasparticipant}{hasParticipant} some
  \protect\hyperlink{physicalphenomenon}{PhysicalPhenomenon}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{process}{%
\subsection{Process}\label{process}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/holistic\#emmo_43e9a05d_98af_41b4_92f6_00f79a09bfce}{http://emmo.info/emmo/middle/holistic\#EMMO\_43e9a05d\_98af\_41b4\_92f6\_00f79a09bfce}

\textbf{Elucidation:} A temporal part of a `physical' that identifies a
particular type of evolution in time.

\textbf{Comment:} A `Process' is always a `Physical', since a `Void'
does not have elements that evolves in time.

\textbf{Comment:} A `Process' is defined as a temporal part of a
`Physical' that is categorized according to an EMMO user that recognizes
a particular type of evolution in time of the real world object.

Following the common definition of process, every `Physical' should be a
process, since every 4D object always has a time dimension.

However, in the EMMO we restrict the meaning of the word process to
`Physical'-s whose evolution in time have a particular meaning for the
ontologist.

A `Process' is not only something that unfolds in time (which is
automatically represented in a 4D ontology), but something that has a
meaning for the ontologist, i.e.~that the ontologist can separate from
the rest of the 4D physical for any reason.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{holistic}{Holistic}
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  \protect\hyperlink{hasparticipant}{hasParticipant} some
  \protect\hyperlink{participant}{Participant}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{measurement}{%
\subsection{Measurement}\label{measurement}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_463bcfda_867b_41d9_a967_211d4d437cfb}{http://emmo.info/emmo/middle/properties\#EMMO\_463bcfda\_867b\_41d9\_a967\_211d4d437cfb}

\textbf{Elucidation:} An `observation' that results in a quantitative
comparison of a `property' of an `object' with a standard reference.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{observation}{Observation}
\item
  \protect\hyperlink{hasparticipant}{hasParticipant} some
  \protect\hyperlink{measurementinstrument}{MeasurementInstrument}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{observation}{%
\subsection{Observation}\label{observation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_10a5fd39_06aa_4648_9e70_f962a9cb2069}{http://emmo.info/emmo/middle/properties\#EMMO\_10a5fd39\_06aa\_4648\_9e70\_f962a9cb2069}

\textbf{Elucidation:} A `Semiosis' that involves an `Observer' that
perceives another `Physical' (the `Object') through a specific
perception mechanism and produces a `Property' (the `Sign') that stands
for the result of that particular perception.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{semiosis}{Semiosis}
\item
  \protect\hyperlink{hasparticipant}{hasParticipant} some
  \protect\hyperlink{observer}{Observer}
\item
  \protect\hyperlink{hasparticipant}{hasParticipant} some
  \protect\hyperlink{property}{Property}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{theorization}{%
\subsection{Theorization}\label{theorization}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_6c739b1a_a774_4416_bb31_1961486fa9ed}{http://emmo.info/emmo/middle/models\#EMMO\_6c739b1a\_a774\_4416\_bb31\_1961486fa9ed}

\textbf{Elucidation:} The `semiosis' process of interpreting a
`physical' and provide a complec sign, `theory' that stands for it and
explain it to another interpreter.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{observation}{Observation}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{semiosis}{%
\subsection{Semiosis}\label{semiosis}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/semiotics\#emmo_008fd3b2_4013_451f_8827_52bceab11841}{http://emmo.info/emmo/top/semiotics\#EMMO\_008fd3b2\_4013\_451f\_8827\_52bceab11841}

\textbf{Elucidation:} A `Process', that has participant an
`Interpreter', that is aimed to produce a `Sign' representing another
participant, the `Object'.

\textbf{Example:} Me looking a cat and saying loud: ``Cat!''
-\textgreater{} the semiosis process

me -\textgreater{} interpreter cat -\textgreater{} object (in Peirce
semiotics) the cat perceived by my mind -\textgreater{} interpretant
``Cat!'' -\textgreater{} sign, the produced sign

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{process}{Process}
\item
  \protect\hyperlink{hasproperparticipant}{hasProperParticipant} some
  \protect\hyperlink{interpreter}{Interpreter}
\item
  \protect\hyperlink{hasproperparticipant}{hasProperParticipant} some
  \protect\hyperlink{object}{Object}
\item
  \protect\hyperlink{hasproperparticipant}{hasProperParticipant} some
  \protect\hyperlink{sign}{Sign}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{manufacturing}{%
\subsection{Manufacturing}\label{manufacturing}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/manufacturing\#emmo_a4d66059_5dd3_4b90_b4cb_10960559441b}{http://emmo.info/emmo/middle/manufacturing\#EMMO\_a4d66059\_5dd3\_4b90\_b4cb\_10960559441b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{process}{Process}
\item
  \protect\hyperlink{hasproperparticipant}{hasProperParticipant} some
  \protect\hyperlink{engineered}{Engineered}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{perceptual-branch}{%
\section{Perceptual branch}\label{perceptual-branch}}

\begin{figure}
\centering
\includegraphics[width=5.09375in,height=\textheight]{genfigs/PerceptualT.pdf}
\caption{Perceptual branch.}
\end{figure}

\hypertarget{acoustical}{%
\subsection{Acoustical}\label{acoustical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_4b3afb22_27cf_4ce3_88bc_492bfccb546b}{http://emmo.info/emmo/middle/perceptual\#EMMO\_4b3afb22\_27cf\_4ce3\_88bc\_492bfccb546b}

\textbf{Elucidation:} An `impression' which stands for a real world
object whose spatiotemporal pattern makes it identifiable by an observer
as a sound.

\textbf{Comment:} `acoustical' refers to the perception mechanism of the
observer that can occur through a microphone, a ear.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perceptual}{Perceptual}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{noise}{%
\subsection{Noise}\label{noise}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_91756568_8655_4060_8937_a1a906dad8c1}{http://emmo.info/emmo/middle/perceptual\#EMMO\_91756568\_8655\_4060\_8937\_a1a906dad8c1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{acoustical}{Acoustical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{music}{%
\subsection{Music}\label{music}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_0d69f94a_f4fa_49d9_bf90_ace770eeab02}{http://emmo.info/emmo/middle/perceptual\#EMMO\_0d69f94a\_f4fa\_49d9\_bf90\_ace770eeab02}

\textbf{Elucidation:} A `acoustical' that can be categorized as music by
the ontologist.

\textbf{Comment:} A music score is not a `music' individual.

A music score is a `graphical' that can stand for a `music' (or vice
versa) since it comes through a different perception mechanism.

The `music' individual is the sound itself as produced and delivered by
a source in the form of sound wave through a medium.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{acoustical}{Acoustical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{perceptual}{%
\subsection{Perceptual}\label{perceptual}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_649bf97b_4397_4005_90d9_219755d92e34}{http://emmo.info/emmo/middle/perceptual\#EMMO\_649bf97b\_4397\_4005\_90d9\_219755d92e34}

\textbf{Elucidation:} A `Physical' which stands for a real world object
that can stimulate a perception (e.g.~a mental impression, the
excitation of a sensor) to an interpreter (human or non-human).

\textbf{Example:} A line scratched on a surface. A sound. A smell. The
word `cat' and the sound of the word `cat' (the first one is graphical
and the second acoustical).

\textbf{Example:} The meta-semiotic process: I see a cloud in the sky.
Since I'm an EMMO ontologist, I create an individual named Cloud under
the `Impression' class. This semiotic process occurs at meta-level: it's
how I use the EMMO as tool for a direct representation of the world.

The semiotic process within EMMO: My friend looks at the same cloud and
says: ``It is an elephant''. I use the EMMO to record this experience by
declaring: - my friend as MyFriend individual, belonging to
`Interpreter' classes - the sound of the word ``elephant'' as an
acoustical impression individual named ElephantWord, belonging to
`Impression' - a relation hasSign between Cloud and ElephantWord, that
makes ElephantWord also belonging to `Sign' class and Cloud belonging
also to `Object' class - a `Semiosis' individual called
MyFriendElephantCloud that hasParticipant: Cloud, ElephantWord and
MyFriend, respectively as object, sign and interpreter.

\textbf{Comment:} `Perceptual' includes real world objects that: - are
part of a communication system (e.g.~words, speech, alphabets) - are not
part of a communication system, but can be identified and referred by an
interpreter

\textbf{Comment:} A `Perceptual' is a meta-object, meaning that is
addressed by the ontologist (the meta-interpreter) in a meta-semiotic
process occurring outside the EMMO.

A `Perceptual' becomes an `Object', when it is part of a `Semiotic'
process described by the ontologist through the EMMO.

\textbf{Comment:} From Latin percepti\(\bar{\mathrm{o}}\) (``a receiving
or collecting, perception, comprehension''), from perceptus
(``perceived, observed'').

\textbf{Comment:} This class is the most general superclass for the
categorization of real world objects that are recognizable by an
interpreter (agent).

A `Perceptual' can stand for something else in a semiotic process
(acting as sign or as object).

However, a perceptual is not necessarily a `Sign' (e.g.~a line sketched
on a blackboard is a recognizable `Perceptual' but it may stand for
nothing).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perspective}{Perspective}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{speech}{%
\subsection{Speech}\label{speech}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_660ef3b0_6692_4c51_8f69_763c7817b2e1}{http://emmo.info/emmo/middle/perceptual\#EMMO\_660ef3b0\_6692\_4c51\_8f69\_763c7817b2e1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{acoustical}{Acoustical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{graphical-branch}{%
\section{Graphical branch}\label{graphical-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/GraphicalT.pdf}
\caption{Graphical branch.}
\end{figure}

\hypertarget{graphical}{%
\subsection{Graphical}\label{graphical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_c74da218_9147_4f03_92d1_8894abca55f3}{http://emmo.info/emmo/middle/perceptual\#EMMO\_c74da218\_9147\_4f03\_92d1\_8894abca55f3}

\textbf{Elucidation:} A `Phenomenic' which stands for a real world
object whose spatial configuration shows a pattern identifiable by an
observer.

\textbf{Example:} `Graphical' objects include writings, pictures,
sketches \ldots{}

\textbf{Comment:} From the Ancient Greek
\(\upgamma\)\(\uprho\)\(\upalpha\)\(\upvarphi\)\(\acute{\upeta}\)
(graph\(\acute{\bar{\mathrm{e}}}\)) which means drawing, painting,
writing, a writing, description, and from
\(\upgamma\)\(\uprho\)\(\acute{\upalpha}\)\(\upvarphi\)\(\upomega\)
(gr\(\acute{\mathrm{a}}\)ph\(\bar{\mathrm{o}}\)) which means scratch,
carve.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perceptual}{Perceptual}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{symboliccomposition}{%
\subsection{SymbolicComposition}\label{symboliccomposition}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_89a0c87c_0804_4013_937a_6fe234d9499c}{http://emmo.info/emmo/middle/perceptual\#EMMO\_89a0c87c\_0804\_4013\_937a\_6fe234d9499c}

\textbf{Elucidation:} A symbolic entity made of other symbolic entities
according to a specific spatial configuration.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{symbolic}{Symbolic}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{pictorial}{%
\subsection{Pictorial}\label{pictorial}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_1da53c06_9577_4008_8652_272fa3b62be7}{http://emmo.info/emmo/middle/perceptual\#EMMO\_1da53c06\_9577\_4008\_8652\_272fa3b62be7}

\textbf{Elucidation:} A `Graphical' that stands for a real world object
that shows a recognizable pictorial pattern without being necessarily
associated to a symbolic language.

\textbf{Example:} A drawing of a cat. A circle on a paper sheet. The
Mona Lisa.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{graphical}{Graphical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{language}{%
\subsection{Language}\label{language}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_d8d2144e_5c8d_455d_a643_5caf4d8d9df8}{http://emmo.info/emmo/middle/perceptual\#EMMO\_d8d2144e\_5c8d\_455d\_a643\_5caf4d8d9df8}

\textbf{Elucidation:} A language object is a symbolic object respecting
a specific language syntactic rules (a well-formed formula).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{string}{%
\subsection{String}\label{string}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_50ea1ec5_f157_41b0_b46b_a9032f17ca10}{http://emmo.info/emmo/middle/perceptual\#EMMO\_50ea1ec5\_f157\_41b0\_b46b\_a9032f17ca10}

\textbf{Elucidation:} A physical made of more than one symbol
sequentially arranged.

\textbf{Example:} The word ``cat'' considered as a collection of
`symbol'-s respecting the rules of english language.

In this example the `symbolic' entity ``cat'' is not related to the real
cat, but it is only a word (like it would be to an italian person that
ignores the meaning of this english word).

If an `interpreter' skilled in english language is involved in a
`semiotic' process with this word, that ``cat'' became also a `sign'
i.e.~it became for the `interpreter' a representation for a real cat.

\textbf{Comment:} A string is made of concatenated symbols whose
arrangement is one-dimensional. Each symbol can have only one previous
and one next neighborhood (bidirectional list).

\textbf{Comment:} A string is not requested to respect any syntactic
rule: it's simply directly made of symbols.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{symbol}{Symbol}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} only
  \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{symbolic}{%
\subsection{Symbolic}\label{symbolic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_057e7d57_aff0_49de_911a_8861d85cef40}{http://emmo.info/emmo/middle/perceptual\#EMMO\_057e7d57\_aff0\_49de\_911a\_8861d85cef40}

\textbf{Elucidation:} An `Graphical' that stands for a token or a
composition of tokens from one or more alphabets, without necessarily
respecting syntactic rules.

\textbf{Example:} fe780 emmo !5*a cat

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{graphical}{Graphical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{geometrical-branch}{%
\section{Geometrical branch}\label{geometrical-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/GeometricalT.pdf}
\caption{Geometrical branch.}
\end{figure}

\hypertarget{curve}{%
\subsection{Curve}\label{curve}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_0ef4ff4a_5458_4f2a_b51f_4689d472a3f2}{http://emmo.info/emmo/middle/perceptual\#EMMO\_0ef4ff4a\_5458\_4f2a\_b51f\_4689d472a3f2}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{1-manifold}{1-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{sphere}{%
\subsection{Sphere}\label{sphere}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_d7bf784a_db94_4dd9_861c_54f262846fbf}{http://emmo.info/emmo/middle/perceptual\#EMMO\_d7bf784a\_db94\_4dd9\_861c\_54f262846fbf}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{2-manifold}{2-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{manifold}{%
\subsection{3-manifold}\label{manifold}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_46f0f8df_4dc6_418f_8036_10427a3a288e}{http://emmo.info/emmo/middle/perceptual\#EMMO\_46f0f8df\_4dc6\_418f\_8036\_10427a3a288e}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{geometrical}{Geometrical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{manifold-1}{%
\subsection{1-manifold}\label{manifold-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_0c576e13_4ee7_4f3d_bfe9_1614243df018}{http://emmo.info/emmo/middle/perceptual\#EMMO\_0c576e13\_4ee7\_4f3d\_bfe9\_1614243df018}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{geometrical}{Geometrical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{circle}{%
\subsection{Circle}\label{circle}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_b2a234a8_579a_422c_9305_b8f7e72c76cd}{http://emmo.info/emmo/middle/perceptual\#EMMO\_b2a234a8\_579a\_422c\_9305\_b8f7e72c76cd}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{1-manifold}{1-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{line}{%
\subsection{Line}\label{line}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_3e309118_e8b7_4021_80f4_642d2df65d94}{http://emmo.info/emmo/middle/perceptual\#EMMO\_3e309118\_e8b7\_4021\_80f4\_642d2df65d94}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{1-manifold}{1-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{manifold-2}{%
\subsection{0-manifold}\label{manifold-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_0ab0485c_9e5b_4257_a679_90a2dfba5c7c}{http://emmo.info/emmo/middle/perceptual\#EMMO\_0ab0485c\_9e5b\_4257\_a679\_90a2dfba5c7c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{geometrical}{Geometrical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{point}{%
\subsection{Point}\label{point}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_39362460_2a97_4367_8f93_0418c2ac9a08}{http://emmo.info/emmo/middle/perceptual\#EMMO\_39362460\_2a97\_4367\_8f93\_0418c2ac9a08}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{0-manifold}{0-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{geometrical}{%
\subsection{Geometrical}\label{geometrical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_b5957cef_a287_442d_a3ce_fd39f20ba1cd}{http://emmo.info/emmo/middle/perceptual\#EMMO\_b5957cef\_a287\_442d\_a3ce\_fd39f20ba1cd}

\textbf{Elucidation:} A `graphical' aimed to represent a geometrical
concept.

\textbf{Comment:} A `geometrical' stands for real world objects that
express a geometrical concept.

This can be achieved in many different ways. For example, a line can be
expressed by: a) an equation like y=mx+q, which is both an `equation'
and a `geometrical' b) a line drawn with a pencil on a paper, which is
simply a `graphical' object c) a set of axioms, when the properties of a
line are inferred by the interpreter reading them, that are both
`graphical' and also `formula'

The case a) is a geometrical and mathematical, b) is geometrical and
pictorial, while c) is geometrical and a composition of idiomatic
strings.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{graphical}{Graphical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{torus}{%
\subsection{Torus}\label{torus}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_86060335_31c2_4820_b433_27c64aea0366}{http://emmo.info/emmo/middle/perceptual\#EMMO\_86060335\_31c2\_4820\_b433\_27c64aea0366}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{2-manifold}{2-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{plane}{%
\subsection{Plane}\label{plane}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_25f5ca8e_8f7f_44d8_a392_bd3fe8894458}{http://emmo.info/emmo/middle/perceptual\#EMMO\_25f5ca8e\_8f7f\_44d8\_a392\_bd3fe8894458}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{2-manifold}{2-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{euclideanspace}{%
\subsection{EuclideanSpace}\label{euclideanspace}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_5f278af9_8593_4e27_a717_ccc9e07a0ddf}{http://emmo.info/emmo/middle/perceptual\#EMMO\_5f278af9\_8593\_4e27\_a717\_ccc9e07a0ddf}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{3-manifold}{3-manifold}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{manifold-3}{%
\subsection{2-manifold}\label{manifold-3}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_9268958f_7f54_48ab_a693_febe2645892b}{http://emmo.info/emmo/middle/perceptual\#EMMO\_9268958f\_7f54\_48ab\_a693\_febe2645892b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{geometrical}{Geometrical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{symbol-branch}{%
\section{Symbol branch}\label{symbol-branch}}

\begin{figure}
\centering
\includegraphics[width=6.53125in,height=\textheight]{genfigs/SymbolT.pdf}
\caption{Symbol branch.}
\end{figure}

\hypertarget{unitsymbol}{%
\subsection{UnitSymbol}\label{unitsymbol}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_216f448e_cdbc_4aeb_a529_7a5fe7fc38bb}{http://emmo.info/emmo/middle/metrology\#EMMO\_216f448e\_cdbc\_4aeb\_a529\_7a5fe7fc38bb}

\textbf{Elucidation:} A symbol that stands for a single unit.

\textbf{Example:} Some examples are ``Pa'', ``m'' and ``J''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrologicalsymbol}{MetrologicalSymbol}
\item
  is\_a \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\item
  equivalent\_to \protect\hyperlink{measurementunit}{MeasurementUnit}
  and \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_union\_of \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{unitone}{%
\subsection{UnitOne}\label{unitone}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_5ebd5e01_0ed3_49a2_a30d_cd05cbe72978}{http://emmo.info/emmo/middle/metrology\#EMMO\_5ebd5e01\_0ed3\_49a2\_a30d\_cd05cbe72978}

\textbf{Elucidation:} Represents the number 1, used as an explicit unit
to say something has no units.

\textbf{Example:} Refractive index or volume fraction.

\textbf{Example:} Typically used for ratios of two units whos dimensions
cancels out.

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/unitless}{http://qudt.org/vocab/unit/UNITLESS}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{baseunit}{BaseUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{metrologicalsymbol}{%
\subsection{MetrologicalSymbol}\label{metrologicalsymbol}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_50a3552e_859a_4ff7_946d_76d537cabce6}{http://emmo.info/emmo/middle/metrology\#EMMO\_50a3552e\_859a\_4ff7\_946d\_76d537cabce6}

\textbf{Elucidation:} A symbol that stands for a concept in the language
of the meterological domain of ISO 80000.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  \protect\hyperlink{hasproperpart}{hasProperPart} only not
  \protect\hyperlink{metrological}{Metrological}
\item
  equivalent\_to \protect\hyperlink{metrological}{Metrological} and
  \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{symbol}{%
\subsection{Symbol}\label{symbol}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_a1083d0a_c1fb_471f_8e20_a98f881ad527}{http://emmo.info/emmo/middle/perceptual\#EMMO\_a1083d0a\_c1fb\_471f\_8e20\_a98f881ad527}

\textbf{Elucidation:} The class of individuals that stand for an
elementary mark of a specific symbolic code (alphabet).

\textbf{Example:} The class of letter ``A'' is the symbol as idea and
the letter A that you see on the screen is the mark.

\textbf{Comment:} Subclasses of `Symbol' are alphabets, in formal
languages terminology.

A `Symbol' is atomic for that alphabet, i.e.~it has no parts that are
symbols for the same alphabet. e.g.~a math symbol is not made of other
math symbols

A Symbol may be a String in another language. e.g. ``Bq'' is the symbol
for Becquerel units when dealing with metrology, or a string of ``B''
and ``q'' symbols when dealing with characters.

\textbf{Comment:} Symbols of a formal language need not be symbols of
anything. For instance there are logical constants which do not refer to
any idea, but rather serve as a form of punctuation in the language
(e.g.~parentheses).

Symbols of a formal language must be capable of being specified without
any reference to any interpretation of them. (Wikipedia)

\textbf{Comment:} The class is the idea of the symbol, while the
individual of that class stands for a specific mark (or token) of that
idea.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} exactly 1 type
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\textbf{Individuals:}

\begin{itemize}
\tightlist
\item
  \protect\hyperlink{b}{b}
\item
  \protect\hyperlink{a}{a}
\end{itemize}

\hypertarget{specialunit-1}{%
\subsection{SpecialUnit}\label{specialunit-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_3ee80521_3c23_4dd1_935d_9d522614a3e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_3ee80521\_3c23\_4dd1\_935d\_9d522614a3e2}

\textbf{Elucidation:} A unit symbol that stands for a derived unit.

\textbf{Example:} Pa stands for N/m2 J stands for N m

\textbf{Comment:} Special units are semiotic shortcuts to more complex
composed symbolic objects.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  Inverse(\protect\hyperlink{hassign}{hasSign}) some
  \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{siunitsymbol-1}{%
\subsection{SIUnitSymbol}\label{siunitsymbol-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_32129fb5_df25_48fd_a29c_18a2f22a2dd5}{http://emmo.info/emmo/middle/siunits\#EMMO\_32129fb5\_df25\_48fd\_a29c\_18a2f22a2dd5}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sicoherentunit}{SICoherentUnit}
\item
  is\_a \protect\hyperlink{object}{Object}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{baseunit}{%
\subsection{BaseUnit}\label{baseunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_db716151_6b73_45ff_910c_d182fdcbb4f5}{http://emmo.info/emmo/middle/metrology\#EMMO\_db716151\_6b73\_45ff\_910c\_d182fdcbb4f5}

\textbf{Elucidation:} A set of units that correspond to the base
quantities in a system of units.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{mathematical-branch}{%
\section{Mathematical branch}\label{mathematical-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MathematicalT.pdf}
\caption{Mathematical branch.}
\end{figure}

\hypertarget{array}{%
\subsection{Array}\label{array}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_28fbea28_2204_4613_87ff_6d877b855fcd}{http://emmo.info/emmo/top/math\#EMMO\_28fbea28\_2204\_4613\_87ff\_6d877b855fcd}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{parameter-1}{%
\subsection{Parameter}\label{parameter-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_d1d436e7_72fc_49cd_863b_7bfb4ba5276a}{http://emmo.info/emmo/middle/math\#EMMO\_d1d436e7\_72fc\_49cd\_863b\_7bfb4ba5276a}

\textbf{Example:} viscosity in the Navier-Stokes equation

\textbf{Comment:} A `variable' whose value is assumed to be known
independently from the equation, but whose value is not explicitated in
the equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{numerical}{%
\subsection{Numerical}\label{numerical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_4ce76d7f_03f8_45b6_9003_90052a79bfaa}{http://emmo.info/emmo/middle/math\#EMMO\_4ce76d7f\_03f8\_45b6\_9003\_90052a79bfaa}

\textbf{Elucidation:} A `Mathematical' that has no unknown value,
i.e.~all its 'Variable``-s parts refers to a `Number' (for scalars that
have a built-in datatype) or to another `Numerical' (for complex
numerical data structures that should rely on external implementations).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{mathematical}{%
\subsection{Mathematical}\label{mathematical}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_54ee6b5e_5261_44a8_86eb_5717e7fdb9d0}{http://emmo.info/emmo/middle/math\#EMMO\_54ee6b5e\_5261\_44a8\_86eb\_5717e7fdb9d0}

\textbf{Elucidation:} The class of general mathematical symbolic objects
respecting mathematical syntactic rules.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{language}{Language}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{matrix}{%
\subsection{Matrix}\label{matrix}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_1cba0b27_15d0_4326_933f_379d0b3565b6}{http://emmo.info/emmo/top/math\#EMMO\_1cba0b27\_15d0\_4326\_933f\_379d0b3565b6}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{array}{Array}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{variable-1}{%
\subsection{Variable}\label{variable-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_1eed0732_e3f1_4b2c_a9c4_b4e75eeb5895}{http://emmo.info/emmo/middle/math\#EMMO\_1eed0732\_e3f1\_4b2c\_a9c4\_b4e75eeb5895}

\textbf{Elucidation:} A `Variable' is a symbolic object that stands for
a numerical defined `Mathematical' object like e.g.~a number, a vector,
a matrix.

\textbf{Example:} x k

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{conventional}{Conventional}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) some
  \protect\hyperlink{mathematical}{Mathematical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{constant-1}{%
\subsection{Constant}\label{constant-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_ae15fb4f_8e4d_41de_a0f9_3997f89ba6a2}{http://emmo.info/emmo/middle/math\#EMMO\_ae15fb4f\_8e4d\_41de\_a0f9\_3997f89ba6a2}

\textbf{Elucidation:} A `varaible' that stand for a well known constant.

\textbf{Example:} \(\uppi\) refers to the constant number
\textasciitilde{}3.14

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{numerical}{Numerical}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{vector}{%
\subsection{Vector}\label{vector}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_06658d8d_dcde_4fc9_aae1_17f71c0bcdec}{http://emmo.info/emmo/middle/math\#EMMO\_06658d8d\_dcde\_4fc9\_aae1\_17f71c0bcdec}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{array}{Array}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{unknown-1}{%
\subsection{Unknown}\label{unknown-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_fe7e56ce_118b_4243_9aad_20eb9f4f31f6}{http://emmo.info/emmo/middle/math\#EMMO\_fe7e56ce\_118b\_4243\_9aad\_20eb9f4f31f6}

\textbf{Elucidation:} The dependent variable for which an equation has
been written.

\textbf{Example:} Velocity, for the Navier-Stokes equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{variable}{Variable}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{mathematical-symbol-branch}{%
\section{Mathematical Symbol branch}\label{mathematical-symbol-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MathematicalSymbolT.pdf}
\caption{Mathematical Symbol branch.}
\end{figure}

\hypertarget{mathematicalsymbol}{%
\subsection{MathematicalSymbol}\label{mathematicalsymbol}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_5be83f9c_a4ba_4b9a_be1a_5bfc6e891231}{http://emmo.info/emmo/middle/math\#EMMO\_5be83f9c\_a4ba\_4b9a\_be1a\_5bfc6e891231}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  \protect\hyperlink{hasproperpart}{hasProperPart} only not
  \protect\hyperlink{mathematical}{Mathematical}
\item
  equivalent\_to \protect\hyperlink{mathematical}{Mathematical} and
  \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{equals}{%
\subsection{Equals}\label{equals}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_535d75a4_1972_40bc_88c6_ca566386934f}{http://emmo.info/emmo/top/math\#EMMO\_535d75a4\_1972\_40bc\_88c6\_ca566386934f}

\textbf{Elucidation:} The equals symbol.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicalsymbol}{MathematicalSymbol}
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``=''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{mathematical-model-branch}{%
\section{Mathematical Model branch}\label{mathematical-model-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MathematicalModelT.pdf}
\caption{Mathematical Model branch.}
\end{figure}

\hypertarget{physicsbasedmodel}{%
\subsection{PhysicsBasedModel}\label{physicsbasedmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_b29fd350_39aa_4af7_9459_3faa0544cba6}{http://emmo.info/emmo/middle/models\#EMMO\_b29fd350\_39aa\_4af7\_9459\_3faa0544cba6}

\textbf{Elucidation:} A solvable set of one Physics Equation and one or
more Materials Relations.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicalmodel}{MathematicalModel}
\item
  \protect\hyperlink{hasspatialpart}{hasSpatialPart} some
  \protect\hyperlink{physicsequation}{PhysicsEquation}
\item
  \protect\hyperlink{hasspatialpart}{hasSpatialPart} some
  \protect\hyperlink{materialrelation}{MaterialRelation}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electronicmodel}{%
\subsection{ElectronicModel}\label{electronicmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_6eca09be_17e9_445e_abc9_000aa61b7a11}{http://emmo.info/emmo/middle/models\#EMMO\_6eca09be\_17e9\_445e\_abc9\_000aa61b7a11}

\textbf{Elucidation:} A physics-based model based on a physics equation
describing the behaviour of electrons.

\textbf{Example:} Density functional theory. Hartree-Fock.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{databasedmodel}{%
\subsection{DataBasedModel}\label{databasedmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_a4b14b83_9392_4a5f_a2e8_b2b58793f59b}{http://emmo.info/emmo/middle/models\#EMMO\_a4b14b83\_9392\_4a5f\_a2e8\_b2b58793f59b}

\textbf{Elucidation:} A computational model that uses data to create new
insight into the behaviour of a system.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicalmodel}{MathematicalModel}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{physicsequation}{%
\subsection{PhysicsEquation}\label{physicsequation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_27c5d8c6_8af7_4d63_beb1_ec37cd8b3fa3}{http://emmo.info/emmo/middle/models\#EMMO\_27c5d8c6\_8af7\_4d63\_beb1\_ec37cd8b3fa3}

\textbf{Elucidation:} An `equation' that stands for a `physical\_law' by
mathematically defining the relations between physics\_quantities.

\textbf{Comment:} The Newton's equation of motion.

The Schrodinger equation.

The Navier-Stokes equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  is\_a \protect\hyperlink{mathematicalmodel}{MathematicalModel}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  Inverse(\protect\hyperlink{hasmodel}{hasModel}) some
  \protect\hyperlink{physicalphenomenon}{PhysicalPhenomenon}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{string}{String}
\end{itemize}

\hypertarget{mesoscopicmodel}{%
\subsection{MesoscopicModel}\label{mesoscopicmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_53935db0_af45_4426_b9e9_244a0d77db00}{http://emmo.info/emmo/middle/models\#EMMO\_53935db0\_af45\_4426\_b9e9\_244a0d77db00}

\textbf{Elucidation:} A physics-based model based on a physics equation
describing the behaviour of mesoscopic entities, i.e.~a set of bounded
atoms like a molecule, bead or nanoparticle.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{mathematicalmodel}{%
\subsection{MathematicalModel}\label{mathematicalmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_f7ed665b_c2e1_42bc_889b_6b42ed3a36f0}{http://emmo.info/emmo/middle/models\#EMMO\_f7ed665b\_c2e1\_42bc\_889b\_6b42ed3a36f0}

\textbf{Comment:} A mathematical model can be defined as a description
of a system using mathematical concepts and language to facilitate
proper explanation of a system or to study the effects of different
components and to make predictions on patterns of behaviour.

Abramowitz and Stegun, 1968

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{model}{Model}
\item
  equivalent\_to \protect\hyperlink{mathematical}{Mathematical} and
  \protect\hyperlink{model}{Model}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{continuummodel}{%
\subsection{ContinuumModel}\label{continuummodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_4456a5d2_16a6_4ee1_9a8e_5c75956b28ea}{http://emmo.info/emmo/middle/models\#EMMO\_4456a5d2\_16a6\_4ee1\_9a8e\_5c75956b28ea}

\textbf{Elucidation:} A physics-based model based on a physics equation
describing the behaviour of continuum volume.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{atomisticmodel}{%
\subsection{AtomisticModel}\label{atomisticmodel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_84cadc45_6758_46f2_ba2a_5ead65c70213}{http://emmo.info/emmo/middle/models\#EMMO\_84cadc45\_6758\_46f2\_ba2a\_5ead65c70213}

\textbf{Elucidation:} A physics-based model based on a physics equation
describing the behaviour of atoms.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{mathematical-operator-branch}{%
\section{Mathematical Operator
branch}\label{mathematical-operator-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MathematicalOperatorT.pdf}
\caption{Mathematical Operator branch.}
\end{figure}

\hypertarget{arithmeticoperator}{%
\subsection{ArithmeticOperator}\label{arithmeticoperator}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_707f0cd1_941c_4b57_9f20_d0ba30cd6ff3}{http://emmo.info/emmo/middle/math\#EMMO\_707f0cd1\_941c\_4b57\_9f20\_d0ba30cd6ff3}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{algebricoperator}{AlgebricOperator}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{algebricoperator}{%
\subsection{AlgebricOperator}\label{algebricoperator}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_3c424d37_cf62_41b1_ac9d_a316f8d113d6}{http://emmo.info/emmo/top/math\#EMMO\_3c424d37\_cf62\_41b1\_ac9d\_a316f8d113d6}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicaloperator}{MathematicalOperator}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{plus}{%
\subsection{Plus}\label{plus}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_8de14a59_660b_454f_aff8_76a07ce185f4}{http://emmo.info/emmo/top/math\#EMMO\_8de14a59\_660b\_454f\_aff8\_76a07ce185f4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{arithmeticoperator}{ArithmeticOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``+''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{laplacian}{%
\subsection{Laplacian}\label{laplacian}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_048a14e3_65fb_457d_8695_948965c89492}{http://emmo.info/emmo/top/math\#EMMO\_048a14e3\_65fb\_457d\_8695\_948965c89492}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{differentialoperator}{DifferentialOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``Δ''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{exponent}{%
\subsection{Exponent}\label{exponent}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_223d9523_4169_4ecd_b8af_acad1215e1ff}{http://emmo.info/emmo/top/math\#EMMO\_223d9523\_4169\_4ecd\_b8af\_acad1215e1ff}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{algebricoperator}{AlgebricOperator}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{differentialoperator}{%
\subsection{DifferentialOperator}\label{differentialoperator}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_f8a2fe9f_458b_4771_9aba_a50e76afc52d}{http://emmo.info/emmo/top/math\#EMMO\_f8a2fe9f\_458b\_4771\_9aba\_a50e76afc52d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicaloperator}{MathematicalOperator}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{minus}{%
\subsection{Minus}\label{minus}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_46d5643b_9706_4b67_8bea_ed77d6026539}{http://emmo.info/emmo/top/math\#EMMO\_46d5643b\_9706\_4b67\_8bea\_ed77d6026539}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{arithmeticoperator}{ArithmeticOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``-''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{mathematicaloperator}{%
\subsection{MathematicalOperator}\label{mathematicaloperator}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_f6d0c26a_98b6_4cf8_8632_aa259131faaa}{http://emmo.info/emmo/top/math\#EMMO\_f6d0c26a\_98b6\_4cf8\_8632\_aa259131faaa}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicalsymbol}{MathematicalSymbol}
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{multiplication}{%
\subsection{Multiplication}\label{multiplication}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_2b1303e8_d4c3_453b_9918_76f1d009543f}{http://emmo.info/emmo/top/math\#EMMO\_2b1303e8\_d4c3\_453b\_9918\_76f1d009543f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{arithmeticoperator}{ArithmeticOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``*"
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{division}{%
\subsection{Division}\label{division}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_a365b3c1_7bde_41d7_a15b_2820762e85f4}{http://emmo.info/emmo/top/math\#EMMO\_a365b3c1\_7bde\_41d7\_a15b\_2820762e85f4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{arithmeticoperator}{ArithmeticOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``/''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol}
\end{itemize}

\hypertarget{gradient}{%
\subsection{Gradient}\label{gradient}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_b5c58790_fb2d_42eb_b184_2a3f6ca60acb}{http://emmo.info/emmo/top/math\#EMMO\_b5c58790\_fb2d\_42eb\_b184\_2a3f6ca60acb}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{differentialoperator}{DifferentialOperator}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``∇''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{metrological-branch}{%
\section{Metrological branch}\label{metrological-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MetrologicalT.pdf}
\caption{Metrological branch.}
\end{figure}

\hypertarget{standardunit}{%
\subsection{StandardUnit}\label{standardunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_acd1a504_ca32_4f30_86ad_0b62cea5bc02}{http://emmo.info/emmo/middle/metrology\#EMMO\_acd1a504\_ca32\_4f30\_86ad\_0b62cea5bc02}

\textbf{Elucidation:} A reference unit provided by a reference material.
International vocabulary of metrology (VIM)

\textbf{Example:} Arbitrary amount-of-substance concentration of
lutropin in a given sample of plasma (WHO international standard
80/552): 5.0 International Unit/l

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{referenceunit}{ReferenceUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{unitone-1}{%
\subsection{UnitOne}\label{unitone-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_5ebd5e01_0ed3_49a2_a30d_cd05cbe72978}{http://emmo.info/emmo/middle/metrology\#EMMO\_5ebd5e01\_0ed3\_49a2\_a30d\_cd05cbe72978}

\textbf{Elucidation:} Represents the number 1, used as an explicit unit
to say something has no units.

\textbf{Example:} Refractive index or volume fraction.

\textbf{Example:} Typically used for ratios of two units whos dimensions
cancels out.

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/unitless}{http://qudt.org/vocab/unit/UNITLESS}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{baseunit}{BaseUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{metrologicalsymbol-1}{%
\subsection{MetrologicalSymbol}\label{metrologicalsymbol-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_50a3552e_859a_4ff7_946d_76d537cabce6}{http://emmo.info/emmo/middle/metrology\#EMMO\_50a3552e\_859a\_4ff7\_946d\_76d537cabce6}

\textbf{Elucidation:} A symbol that stands for a concept in the language
of the meterological domain of ISO 80000.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  \protect\hyperlink{hasproperpart}{hasProperPart} only not
  \protect\hyperlink{metrological}{Metrological}
\item
  equivalent\_to \protect\hyperlink{metrological}{Metrological} and
  \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{referenceunit}{%
\subsection{ReferenceUnit}\label{referenceunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_18ce5200_00f5_45bb_8c6f_6fb128cd41ae}{http://emmo.info/emmo/middle/metrology\#EMMO\_18ce5200\_00f5\_45bb\_8c6f\_6fb128cd41ae}

\textbf{Comment:} A reference can be a measurement unit, a measurement
procedure, a reference material, or a combination of such. International
vocabulary of metrology (VIM)

\textbf{Comment:} A symbolic is recognized as reference unit also if it
is not part of a quatity (e.g.~as in the sentence ``the Bq is the
reference unit of Becquerel'').

For this reason we can't declare the axiom: ReferenceUnit SubClassOf:
inverse(hasReferenceUnit) some Quantity because there exist reference
units without being part of a quantity.

This is peculiar to EMMO, where quantities (symbolic) are distinct with
properties (semiotics).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{metrological}{%
\subsection{Metrological}\label{metrological}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_985bec21_989f_4b9e_a4b3_735d88099c3c}{http://emmo.info/emmo/middle/metrology\#EMMO\_985bec21\_989f\_4b9e\_a4b3\_735d88099c3c}

\textbf{Elucidation:} A symbolic object used in metrology.

\textbf{Comment:} This language domain makes use of ISO 80000 concepts.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{language}{Language}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{specialunit-2}{%
\subsection{SpecialUnit}\label{specialunit-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_3ee80521_3c23_4dd1_935d_9d522614a3e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_3ee80521\_3c23\_4dd1\_935d\_9d522614a3e2}

\textbf{Elucidation:} A unit symbol that stands for a derived unit.

\textbf{Example:} Pa stands for N/m2 J stands for N m

\textbf{Comment:} Special units are semiotic shortcuts to more complex
composed symbolic objects.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  Inverse(\protect\hyperlink{hassign}{hasSign}) some
  \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{unitsymbol-1}{%
\subsection{UnitSymbol}\label{unitsymbol-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_216f448e_cdbc_4aeb_a529_7a5fe7fc38bb}{http://emmo.info/emmo/middle/metrology\#EMMO\_216f448e\_cdbc\_4aeb\_a529\_7a5fe7fc38bb}

\textbf{Elucidation:} A symbol that stands for a single unit.

\textbf{Example:} Some examples are ``Pa'', ``m'' and ``J''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrologicalsymbol}{MetrologicalSymbol}
\item
  is\_a \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\item
  equivalent\_to \protect\hyperlink{measurementunit}{MeasurementUnit}
  and \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_union\_of \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{siunitsymbol-2}{%
\subsection{SIUnitSymbol}\label{siunitsymbol-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_32129fb5_df25_48fd_a29c_18a2f22a2dd5}{http://emmo.info/emmo/middle/siunits\#EMMO\_32129fb5\_df25\_48fd\_a29c\_18a2f22a2dd5}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sicoherentunit}{SICoherentUnit}
\item
  is\_a \protect\hyperlink{object}{Object}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{procedureunit}{%
\subsection{ProcedureUnit}\label{procedureunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_c9c8f824_9127_4f93_bc21_69fe78a7f6f2}{http://emmo.info/emmo/middle/metrology\#EMMO\_c9c8f824\_9127\_4f93\_bc21\_69fe78a7f6f2}

\textbf{Elucidation:} A reference unit provided by a measurement
procedure.

\textbf{Example:} Rockwell C hardness of a given sample (150 kg load):
43.5HRC(150 kg)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{referenceunit}{ReferenceUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{baseunit-1}{%
\subsection{BaseUnit}\label{baseunit-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_db716151_6b73_45ff_910c_d182fdcbb4f5}{http://emmo.info/emmo/middle/metrology\#EMMO\_db716151\_6b73\_45ff\_910c\_d182fdcbb4f5}

\textbf{Elucidation:} A set of units that correspond to the base
quantities in a system of units.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{physics-dimension-branch}{%
\section{Physics Dimension branch}\label{physics-dimension-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PhysicsDimensionT.pdf}
\caption{Physics Dimension branch.}
\end{figure}

\hypertarget{dimensionone}{%
\subsection{DimensionOne}\label{dimensionone}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3227b821_26a5_4c7c_9c01_5c24483e0bd0}{http://emmo.info/emmo/middle/isq\#EMMO\_3227b821\_26a5\_4c7c\_9c01\_5c24483e0bd0}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{cubictimesquarecurrentpermasssquarelengthdimension}{%
\subsection{CubicTimeSquareCurrentPerMassSquareLengthDimension}\label{cubictimesquarecurrentpermasssquarelengthdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_321af35f_f0cc_4a5c_b4fe_8c2c0303fb0c}{http://emmo.info/emmo/middle/isq\#EMMO\_321af35f\_f0cc\_4a5c\_b4fe\_8c2c0303fb0c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T+3 L-2 M-1 I+2 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{timedimension}{%
\subsection{TimeDimension}\label{timedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_02e894c3_b793_4197_b120_3442e08f58d1}{http://emmo.info/emmo/middle/isq\#EMMO\_02e894c3\_b793\_4197\_b120\_3442e08f58d1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T+1 L0 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masspersquaretimecurrentdimension}{%
\subsection{MassPerSquareTimeCurrentDimension}\label{masspersquaretimecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ec903946_ddc9_464a_903c_7373e0d1eeb5}{http://emmo.info/emmo/middle/isq\#EMMO\_ec903946\_ddc9\_464a\_903c\_7373e0d1eeb5}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L0 M+1 I-1 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{amountdimension}{%
\subsection{AmountDimension}\label{amountdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e501069c_34d3_4dc7_ac87_c90c7342192b}{http://emmo.info/emmo/middle/isq\#EMMO\_e501069c\_34d3\_4dc7\_ac87\_c90c7342192b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I0 Θ0 N+1 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpercubictimecurrentdimension}{%
\subsection{MassSquareLengthPerCubicTimeCurrentDimension}\label{masssquarelengthpercubictimecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_2e7e5796_4a80_4d73_bb84_f31138446c0c}{http://emmo.info/emmo/middle/isq\#EMMO\_2e7e5796\_4a80\_4d73\_bb84\_f31138446c0c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-3 L+2 M+1 I-1 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpersquaretimesquarecurrentdimension}{%
\subsection{MassSquareLengthPerSquareTimeSquareCurrentDimension}\label{masssquarelengthpersquaretimesquarecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_585e0ff0_9429_4d3c_b578_58abb1ba21d1}{http://emmo.info/emmo/middle/isq\#EMMO\_585e0ff0\_9429\_4d3c\_b578\_58abb1ba21d1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+2 M+1 I-2 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{squarelengthpersquaretimedimension}{%
\subsection{SquareLengthPerSquareTimeDimension}\label{squarelengthpersquaretimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_847f1d9f_205e_46c1_8cb6_a9e479421f88}{http://emmo.info/emmo/middle/isq\#EMMO\_847f1d9f\_205e\_46c1\_8cb6\_a9e479421f88}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+2 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masslengthpersquaretimedimension}{%
\subsection{MassLengthPerSquareTimeDimension}\label{masslengthpersquaretimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_53e825d9_1a09_483c_baa7_37501ebfbe1c}{http://emmo.info/emmo/middle/isq\#EMMO\_53e825d9\_1a09\_483c\_baa7\_37501ebfbe1c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+1 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{electriccurrentdimension}{%
\subsection{ElectricCurrentDimension}\label{electriccurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_d5f3e0e5_fc7d_4e64_86ad_555e74aaff84}{http://emmo.info/emmo/middle/isq\#EMMO\_d5f3e0e5\_fc7d\_4e64\_86ad\_555e74aaff84}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I+1 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{massperlengthsquaretimedimension}{%
\subsection{MassPerLengthSquareTimeDimension}\label{massperlengthsquaretimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_53bd0c90_41c3_46e2_8779_cd2a80f7e18b}{http://emmo.info/emmo/middle/isq\#EMMO\_53bd0c90\_41c3\_46e2\_8779\_cd2a80f7e18b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L-1 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpercubictimedimension}{%
\subsection{MassSquareLengthPerCubicTimeDimension}\label{masssquarelengthpercubictimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_c8d084ad_f88e_4596_8e4d_982c6655ce6f}{http://emmo.info/emmo/middle/isq\#EMMO\_c8d084ad\_f88e\_4596\_8e4d\_982c6655ce6f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-3 L+2 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpertimedimension}{%
\subsection{MassSquareLengthPerTimeDimension}\label{masssquarelengthpertimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_501f9b3a_c469_48f7_9281_2e6a8d805d7a}{http://emmo.info/emmo/middle/isq\#EMMO\_501f9b3a\_c469\_48f7\_9281\_2e6a8d805d7a}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-1 L+2 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{pertimedimension}{%
\subsection{PerTimeDimension}\label{pertimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_515b5579_d526_4842_9e6f_ecc34db6f368}{http://emmo.info/emmo/middle/isq\#EMMO\_515b5579\_d526\_4842\_9e6f\_ecc34db6f368}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-1 L0 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{lengthpertimedimension}{%
\subsection{LengthPerTimeDimension}\label{lengthpertimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_4f5c7c54_1c63_4d17_b12b_ea0792c2b187}{http://emmo.info/emmo/middle/isq\#EMMO\_4f5c7c54\_1c63\_4d17\_b12b\_ea0792c2b187}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-1 L+1 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{luminousintensitydimension}{%
\subsection{LuminousIntensityDimension}\label{luminousintensitydimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_14ff4393_0f28_4fb4_abc7_c2cc00bc761d}{http://emmo.info/emmo/middle/isq\#EMMO\_14ff4393\_0f28\_4fb4\_abc7\_c2cc00bc761d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I0 Θ0 N0 J+1''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{massdimension}{%
\subsection{MassDimension}\label{massdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_77e9dc31_5b19_463e_b000_44c6e79f98aa}{http://emmo.info/emmo/middle/isq\#EMMO\_77e9dc31\_5b19\_463e\_b000\_44c6e79f98aa}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{peramountdimension}{%
\subsection{PerAmountDimension}\label{peramountdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_af24ae20_8ef2_435a_86a1_2ea44488b318}{http://emmo.info/emmo/middle/isq\#EMMO\_af24ae20\_8ef2\_435a\_86a1\_2ea44488b318}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I0 Θ0 N-1 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpercubictimesquarecurrentdimension}{%
\subsection{MassSquareLengthPerCubicTimeSquareCurrentDimension}\label{masssquarelengthpercubictimesquarecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_7610efb8_c7c6_4684_abc1_774783c62472}{http://emmo.info/emmo/middle/isq\#EMMO\_7610efb8\_c7c6\_4684\_abc1\_774783c62472}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-3 L+2 M+1 I-2 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{quartictimesquarecurrentpermasssquarelengthdimension}{%
\subsection{QuarticTimeSquareCurrentPerMassSquareLengthDimension}\label{quartictimesquarecurrentpermasssquarelengthdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_b14d9be5_f81e_469b_abca_379c2e83feab}{http://emmo.info/emmo/middle/isq\#EMMO\_b14d9be5\_f81e\_469b\_abca\_379c2e83feab}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T+4 L-2 M-1 I+2 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{lengthdimension}{%
\subsection{LengthDimension}\label{lengthdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_b3600e73_3e05_479d_9714_c041c3acf5cc}{http://emmo.info/emmo/middle/isq\#EMMO\_b3600e73\_3e05\_479d\_9714\_c041c3acf5cc}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L+1 M0 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{amountpertimedimension}{%
\subsection{AmountPerTimeDimension}\label{amountpertimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ce7d4720_aa20_4a8c_93e8_df41a35b6723}{http://emmo.info/emmo/middle/isq\#EMMO\_ce7d4720\_aa20\_4a8c\_93e8\_df41a35b6723}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-1 L0 M0 I0 Θ0 N+1 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpersquaretimecurrentdimension}{%
\subsection{MassSquareLengthPerSquareTimeCurrentDimension}\label{masssquarelengthpersquaretimecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_4c49ab58_a6f6_409e_b849_f873ae1dcbee}{http://emmo.info/emmo/middle/isq\#EMMO\_4c49ab58\_a6f6\_409e\_b849\_f873ae1dcbee}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+2 M+1 I-1 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{timecurrentdimension}{%
\subsection{TimeCurrentDimension}\label{timecurrentdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ab79e92b_5377_454d_be06_d61b50db295a}{http://emmo.info/emmo/middle/isq\#EMMO\_ab79e92b\_5377\_454d\_be06\_d61b50db295a}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T+1 L0 M0 I+1 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpertemperaturesquaretimedimension}{%
\subsection{MassSquareLengthPerTemperatureSquareTimeDimension}\label{masssquarelengthpertemperaturesquaretimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3ecff38b_b3cf_4a78_b49f_8580abf8715b}{http://emmo.info/emmo/middle/isq\#EMMO\_3ecff38b\_b3cf\_4a78\_b49f\_8580abf8715b}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+2 M+1 I0 Θ-1 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{luminousintensitypersquarelengthdimension}{%
\subsection{LuminousIntensityPerSquareLengthDimension}\label{luminousintensitypersquarelengthdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_668e6ead_1530_40cc_ad5e_24b880edff50}{http://emmo.info/emmo/middle/isq\#EMMO\_668e6ead\_1530\_40cc\_ad5e\_24b880edff50}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L-2 M0 I0 Θ0 N0 J+1''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{temperaturedimension}{%
\subsection{TemperatureDimension}\label{temperaturedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_a77a0a4b_6bd2_42b2_be27_4b63cebbb59e}{http://emmo.info/emmo/middle/isq\#EMMO\_a77a0a4b\_6bd2\_42b2\_be27\_4b63cebbb59e}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T0 L0 M0 I0 Θ+1 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{masssquarelengthpersquaretimedimension}{%
\subsection{MassSquareLengthPerSquareTimeDimension}\label{masssquarelengthpersquaretimedimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_f6070071_d054_4b17_9d2d_f446f7147d0f}{http://emmo.info/emmo/middle/isq\#EMMO\_f6070071\_d054\_4b17\_9d2d\_f446f7147d0f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T-2 L+2 M+1 I0 Θ0 N0 J0''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{luminousintensitycubictimepermasslengthdimension}{%
\subsection{LuminousIntensityCubicTimePerMassLengthDimension}\label{luminousintensitycubictimepermasslengthdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_5c003f53_20a2_4bd7_8445_58187e582578}{http://emmo.info/emmo/middle/isq\#EMMO\_5c003f53\_20a2\_4bd7\_8445\_58187e582578}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicsdimension}{PhysicsDimension}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``T+3 L-1 M-1 I0 Θ0 N0 J+1''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{physicsdimension}{%
\subsection{PhysicsDimension}\label{physicsdimension}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_9895a1b4_f0a5_4167_ac5e_97db40b8bfcc}{http://emmo.info/emmo/middle/metrology\#EMMO\_9895a1b4\_f0a5\_4167\_ac5e\_97db40b8bfcc}

\textbf{Elucidation:} A symbol that, following SI specifications,
describe the physical dimensionality of a physical quantity and the
exponents of the base units in a measurement unit.

\textbf{Comment:} All physical quantities, with the exception of counts,
are derived quantities, which may be written in terms of base quantities
according to the equations of physics. The dimensions of the derived
quantities are written as products of powers of the dimensions of the
base quantities using the equations that relate the derived quantities
to the base quantities. In general the dimension of any quantity Q is
written in the form of a dimensional product,

dim Q = T\^{}\(\upalpha\) L\^{}\(\upbeta\) M\^{}\(\upgamma\)
I\^{}\(\updelta\) \(\Uptheta\)\^{}\(\upepsilon\) N\^{}\(\upzeta\)
J\^{}\(\upeta\)

where the exponents \(\upalpha\), \(\upbeta\), \(\upgamma\),
\(\updelta\), \(\upepsilon\), \(\upzeta\) and \(\upeta\), which are
generally small integers, which can be positive, negative, or zero, are
called the dimensional exponents. (SI brochure)

\textbf{Comment:} The conventional symbolic representation of the
dimension of a base quantity is a single upper case letter in roman
(upright) type. The conventional symbolic representation of the
dimension of a derived quantity is the product of powers of the
dimensions of the base quantities according to the definition of the
derived quantity. The dimension of a quantity Q is denoted by dim Q. ISO
80000-1

\textbf{Comment:} The expression used by the EMMO for physical
dimensions is a metrological symbol (but a string at meta level,
i.e.~the ontologist level) like this:

Ta Lb Mc Id \(\Uptheta\)e Nf Jg

where a, b, c, d, e, f and g are 0 or signed integers.

Regex for the physical dimension symbol for the EMMO is:
\^{}T({[}+-{]}{[}1-9{]}\textbar{}0) L({[}+-{]}{[}1-9{]}\textbar{}0)
M({[}+-{]}{[}1-9{]}\textbar{}0) I({[}+-{]}{[}1-9{]}\textbar{}0)
\(\Uptheta\)({[}+-{]}{[}1-9{]}\textbar{}0)
N({[}+-{]}{[}1-9{]}\textbar{}0) J({[}+-{]}{[}1-9{]}\textbar{}0)\$

Examples of correspondance between base units and physical dimensions
are: mol -\textgreater{} T0 L0 M0 I0 \$\Uptheta\$0 N+1 J0 s
-\textgreater{} T+1 L0 M0 I0 \$\Uptheta\$0 N0 J0 A/m2 -\textgreater{} T0
L0 M-2 I+1 \$\Uptheta\$0 N0 J0

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrologicalsymbol}{MetrologicalSymbol}
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{physical-quantity-branch}{%
\section{Physical Quantity branch}\label{physical-quantity-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PhysicalQuantityT.pdf}
\caption{Physical Quantity branch.}
\end{figure}

\hypertarget{mass}{%
\subsection{Mass}\label{mass}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ed4af7ae_63a2_497e_bb88_2309619ea405}{http://emmo.info/emmo/middle/isq\#EMMO\_ed4af7ae\_63a2\_497e\_bb88\_2309619ea405}

\textbf{Elucidation:} Property of a physical body that express its
resistance to acceleration (a change in its state of motion) when a
force is applied.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/mass}{http://dbpedia.org/page/Mass}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03709}{https://doi.org/10.1351/goldbook.M03709}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{massdimension}{MassDimension}
\item
  Inverse(\protect\hyperlink{hasproperty}{hasProperty}) only
  \protect\hyperlink{matter}{Matter}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{physicalquantity}{%
\subsection{PhysicalQuantity}\label{physicalquantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_02c0621e_a527_4790_8a0f_2bb51973c819}{http://emmo.info/emmo/middle/metrology\#EMMO\_02c0621e\_a527\_4790\_8a0f\_2bb51973c819}

\textbf{Elucidation:} A `Mathematical' entity that is made of a `Number'
and a `MeasurementUnit' defined by a physical law, connected to a
physical entity through a model perspective. Measurement is done
according to the same model.

\textbf{Comment:} In the same system of quantities, dim \(\uprho\)B =
ML−3 is the quantity dimension of mass concentration of component B, and
ML−3 is also the quantity dimension of mass density, \(\uprho\). ISO
80000-1

\textbf{Comment:} Measured or simulated `physical propertiy'-s are
always defined by a physical law, connected to a physical entity through
a model perspective and measurement is done according to the same model.

Systems of units suggests that this is the correct approach, since
except for the fundamental units (length, time, charge) every other unit
is derived by mathematical relations between these fundamental units,
implying a physical laws or definitions.

\textbf{Comment:} Measurement units of quantities of the same quantity
dimension may be designated by the same name and symbol even when the
quantities are not of the same kind.

For example, joule per kelvin and J/K are respectively the name and
symbol of both a measurement unit of heat capacity and a measurement
unit of entropy, which are generally not considered to be quantities of
the same kind.

However, in some cases special measurement unit names are restricted to
be used with quantities of specific kind only.

For example, the measurement unit `second to the power minus one' (1/s)
is called hertz (Hz) when used for frequencies and becquerel (Bq) when
used for activities of radionuclides.

As another example, the joule (J) is used as a unit of energy, but never
as a unit of moment of force, i.e.~the newton metre (N · m).

\textbf{Comment:} --- quantities of the same kind have the same quantity
dimension, --- quantities of different quantity dimensions are always of
different kinds, and --- quantities having the same quantity dimension
are not necessarily of the same kind. ISO 80000-1

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{quantity}{Quantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{measurementunit}{MeasurementUnit}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of
  \protect\hyperlink{derivedquantity}{DerivedQuantity},
  \protect\hyperlink{basequantity}{BaseQuantity}
\end{itemize}

\hypertarget{hyperfinetransitionfrequencyofcs}{%
\subsection{HyperfineTransitionFrequencyOfCs}\label{hyperfinetransitionfrequencyofcs}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f96feb3f_4438_4e43_aa44_7458c4d87fc2}{http://emmo.info/emmo/middle/siunits\#EMMO\_f96feb3f\_4438\_4e43\_aa44\_7458c4d87fc2}

\textbf{Elucidation:} The frequency standard in the SI system in which
the photon absorption by transitions between the two hyperfine ground
states of caesium-133 atoms are used to control the output frequency.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{frequency}{Frequency}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{absorbeddose}{%
\subsection{AbsorbedDose}\label{absorbeddose}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8e5dd473_808b_4a8a_b7cd_63068c12ff57}{http://emmo.info/emmo/middle/isq\#EMMO\_8e5dd473\_808b\_4a8a\_b7cd\_63068c12ff57}

\textbf{Definition:} Energy imparted to matter by ionizing radiation in
a suitable small element of volume divided by the mass of that element
of volume.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/absorbed_dose}{http://dbpedia.org/page/Absorbed\_dose}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00031}{https://doi.org/10.1351/goldbook.A00031}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{solidangle}{%
\subsection{SolidAngle}\label{solidangle}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e7c9f7fd_e534_4441_88fe_1fec6cb20f26}{http://emmo.info/emmo/middle/isq\#EMMO\_e7c9f7fd\_e534\_4441\_88fe\_1fec6cb20f26}

\textbf{Elucidation:} Ratio of area on a sphere to its radius squared.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/solid_angle}{http://dbpedia.org/page/Solid\_angle}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05732}{https://doi.org/10.1351/goldbook.S05732}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{energy}{%
\subsection{Energy}\label{energy}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_31ec09ba_1713_42cb_83c7_b38bf6f9ced2}{http://emmo.info/emmo/middle/isq\#EMMO\_31ec09ba\_1713\_42cb\_83c7\_b38bf6f9ced2}

\textbf{Elucidation:} A property of objects which can be transferred to
other objects or converted into different forms.

\textbf{Comment:} Energy is often defined as ``ability of a system to
perform work'', but it might be misleading since is not necessarily
available to do work.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/energy}{http://dbpedia.org/page/Energy}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02101}{https://doi.org/10.1351/goldbook.E02101}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{frequency}{%
\subsection{Frequency}\label{frequency}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_852b4ab8_fc29_4749_a8c7_b92d4fca7d5a}{http://emmo.info/emmo/middle/isq\#EMMO\_852b4ab8\_fc29\_4749\_a8c7\_b92d4fca7d5a}

\textbf{Elucidation:} Number of periods per time interval.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/frequency}{http://dbpedia.org/page/Frequency}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.ft07383}{https://doi.org/10.1351/goldbook.FT07383}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{luminousflux}{%
\subsection{LuminousFlux}\label{luminousflux}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e2ee1c98_497a_4f66_b4ed_5711496a848e}{http://emmo.info/emmo/middle/isq\#EMMO\_e2ee1c98\_497a\_4f66\_b4ed\_5711496a848e}

\textbf{Elucidation:} Perceived power of light.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/luminous_flux}{http://dbpedia.org/page/Luminous\_flux}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03646}{https://doi.org/10.1351/goldbook.L03646}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{amountofsubstance}{%
\subsection{AmountOfSubstance}\label{amountofsubstance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8159c26a_494b_4fa0_9959_10888f152298}{http://emmo.info/emmo/middle/isq\#EMMO\_8159c26a\_494b\_4fa0\_9959\_10888f152298}

\textbf{Elucidation:} The number of elementary entities present.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/amount_of_substance}{http://dbpedia.org/page/Amount\_of\_substance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00297}{https://doi.org/10.1351/goldbook.A00297}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{amountdimension}{AmountDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{electriccurrent}{%
\subsection{ElectricCurrent}\label{electriccurrent}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_c995ae70_3b84_4ebb_bcfc_69e6a281bb88}{http://emmo.info/emmo/middle/isq\#EMMO\_c995ae70\_3b84\_4ebb\_bcfc\_69e6a281bb88}

\textbf{Elucidation:} A flow of electric charge.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electric_current}{http://dbpedia.org/page/Electric\_current}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01927}{https://doi.org/10.1351/goldbook.E01927}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{force}{%
\subsection{Force}\label{force}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1f087811_06cb_42d5_90fb_25d0e7e068ef}{http://emmo.info/emmo/middle/isq\#EMMO\_1f087811\_06cb\_42d5\_90fb\_25d0e7e068ef}

\textbf{Elucidation:} Any interaction that, when unopposed, will change
the motion of an object.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/force}{http://dbpedia.org/page/Force}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.f02480}{https://doi.org/10.1351/goldbook.F02480}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{catalyticactivity}{%
\subsection{CatalyticActivity}\label{catalyticactivity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_bd67d149_24c2_4bc9_833a_c2bc26f98fd3}{http://emmo.info/emmo/middle/isq\#EMMO\_bd67d149\_24c2\_4bc9\_833a\_c2bc26f98fd3}

\textbf{Elucidation:} Increase in the rate of reaction of a specified
chemical reaction that an enzyme produces in a specific assay system.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c00881}{https://doi.org/10.1351/goldbook.C00881}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{length}{%
\subsection{Length}\label{length}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_cd2cd0de_e0cc_4ef1_b27e_2e88db027bac}{http://emmo.info/emmo/middle/isq\#EMMO\_cd2cd0de\_e0cc\_4ef1\_b27e\_2e88db027bac}

\textbf{Elucidation:} Extend of a spatial dimension.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/length}{http://dbpedia.org/page/Length}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03498}{https://doi.org/10.1351/goldbook.L03498}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{lengthdimension}{LengthDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{electricpotential}{%
\subsection{ElectricPotential}\label{electricpotential}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_4f2d3939_91b1_4001_b8ab_7d19074bf845}{http://emmo.info/emmo/middle/isq\#EMMO\_4f2d3939\_91b1\_4001\_b8ab\_7d19074bf845}

\textbf{Elucidation:} Energy required to move a unit charge through an
electric field from a reference point.

\textbf{Altlabel:} Voltage

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/voltage}{http://dbpedia.org/page/Voltage}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00424}{https://doi.org/10.1351/goldbook.A00424}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{power}{%
\subsection{Power}\label{power}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_09b9021b_f97b_43eb_b83d_0a764b472bc2}{http://emmo.info/emmo/middle/isq\#EMMO\_09b9021b\_f97b\_43eb\_b83d\_0a764b472bc2}

\textbf{Elucidation:} Rate of transfer of energy per unit time.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/power_(physics)}{http://dbpedia.org/page/Power\_(physics)}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04792}{https://doi.org/10.1351/goldbook.P04792}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{celsiustemperature}{%
\subsection{CelsiusTemperature}\label{celsiustemperature}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_66bc9029_f473_45ff_bab9_c3509ff37a22}{http://emmo.info/emmo/middle/isq\#EMMO\_66bc9029\_f473\_45ff\_bab9\_c3509ff37a22}

\textbf{Elucidation:} An objective comparative measure of hot or cold.

Temperature is a relative quantity that can be used to express
temperature differences. Unlike ThermodynamicTemperature, it cannot
express absolute temperatures.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/temperature}{http://dbpedia.org/page/Temperature}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06261}{https://doi.org/10.1351/goldbook.T06261}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electricconductance}{%
\subsection{ElectricConductance}\label{electricconductance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ffb73b1e_5786_43e4_a964_cb32ac7affb7}{http://emmo.info/emmo/middle/isq\#EMMO\_ffb73b1e\_5786\_43e4\_a964\_cb32ac7affb7}

\textbf{Elucidation:} Measure of the ease for electric current to pass
through a material.

\textbf{Altlabel:} Conductance

\textbf{Comment:} Inverse of `ElectricalResistance'.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electrical_resistance_and_conductance}{http://dbpedia.org/page/Electrical\_resistance\_and\_conductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01925}{https://doi.org/10.1351/goldbook.E01925}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{isqderivedquantity}{%
\subsection{ISQDerivedQuantity}\label{isqderivedquantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_2946d40b_24a1_47fa_8176_e3f79bb45064}{http://emmo.info/emmo/middle/isq\#EMMO\_2946d40b\_24a1\_47fa\_8176\_e3f79bb45064}

\textbf{Elucidation:} Derived quantities defined in the International
System of Quantities (ISQ).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a
  \protect\hyperlink{internationalsystemofquantity}{InternationalSystemOfQuantity}
\item
  is\_a \protect\hyperlink{derivedquantity}{DerivedQuantity}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{elementarycharge}{%
\subsection{ElementaryCharge}\label{elementarycharge}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_58a650f0_a638_4743_8439_535a325e5c4c}{http://emmo.info/emmo/middle/siunits\#EMMO\_58a650f0\_a638\_4743\_8439\_535a325e5c4c}

\textbf{Elucidation:} The magnitude of the electric charge carried by a
single electron.

\textbf{Comment:} The DBpedia definition
(http://dbpedia.org/page/Elementary\_charge) is outdated as May 20,
2019. It is now an exact quantity.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/elementary_charge}{http://dbpedia.org/page/Elementary\_charge}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02032}{https://doi.org/10.1351/goldbook.E02032}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_elementarycharge}{http://physics.nist.gov/cuu/CODATA-Value\_ElementaryCharge}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{electriccharge}{ElectricCharge}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{capacitance}{%
\subsection{Capacitance}\label{capacitance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_99dba333_0dbd_4f75_8841_8c0f97fd58e2}{http://emmo.info/emmo/middle/isq\#EMMO\_99dba333\_0dbd\_4f75\_8841\_8c0f97fd58e2}

\textbf{Elucidation:} The derivative of the electric charge of a system
with respect to the electric potential.

\textbf{Altlabel:} ElectricCapacitance

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/capacitance}{http://dbpedia.org/page/Capacitance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c00791}{https://doi.org/10.1351/goldbook.C00791}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{angle}{%
\subsection{Angle}\label{angle}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_f3dd74c0_f480_49e8_9764_33b78638c235}{http://emmo.info/emmo/middle/isq\#EMMO\_f3dd74c0\_f480\_49e8\_9764\_33b78638c235}

\textbf{Definition:} Ratio of circular arc length to radius.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/angle}{http://dbpedia.org/page/Angle}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00346}{https://doi.org/10.1351/goldbook.A00346}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{internationalsystemofquantity}{%
\subsection{InternationalSystemOfQuantity}\label{internationalsystemofquantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_f35cff4d_dc09_44cf_a729_22fb79e3bfb2}{http://emmo.info/emmo/middle/isq\#EMMO\_f35cff4d\_dc09\_44cf\_a729\_22fb79e3bfb2}

\textbf{Elucidation:} Quantities declared under the ISO 8000.

\textbf{Seealso:}
\url{https://www.iso.org/obp/ui/\#iso:std:iso:80000:-1:ed-1:v1:en:sec:3.1}

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/international_system_of_quantities}{https://en.wikipedia.org/wiki/International\_System\_of\_Quantities}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{magneticflux}{%
\subsection{MagneticFlux}\label{magneticflux}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3b931698_937e_49be_ab1b_36fa52d91181}{http://emmo.info/emmo/middle/isq\#EMMO\_3b931698\_937e\_49be\_ab1b\_36fa52d91181}

\textbf{Elucidation:} Measure of magnetism, taking account of the
strength and the extent of a magnetic field.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/magnetic_flux}{http://dbpedia.org/page/Magnetic\_flux}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03684}{https://doi.org/10.1351/goldbook.M03684}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{radioactivity}{%
\subsection{Radioactivity}\label{radioactivity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8d3da9ac_2265_4382_bee5_db72046722f8}{http://emmo.info/emmo/middle/isq\#EMMO\_8d3da9ac\_2265\_4382\_bee5\_db72046722f8}

\textbf{Elucidation:} Decays per unit time.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00114}{https://doi.org/10.1351/goldbook.A00114}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electricresistance}{%
\subsection{ElectricResistance}\label{electricresistance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e88f75d6_9a17_4cfc_bdf7_43d7cea5a9a1}{http://emmo.info/emmo/middle/isq\#EMMO\_e88f75d6\_9a17\_4cfc\_bdf7\_43d7cea5a9a1}

\textbf{Elucidation:} Measure of the difficulty to pass an electric
current through a material.

\textbf{Altlabel:} Resistance

\textbf{Comment:} Inverse of `ElectricalConductance'.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electrical_resistance_and_conductance}{http://dbpedia.org/page/Electrical\_resistance\_and\_conductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01936}{https://doi.org/10.1351/goldbook.E01936}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{pressure}{%
\subsection{Pressure}\label{pressure}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_50a44256_9dc5_434b_bad4_74a4d9a29989}{http://emmo.info/emmo/middle/isq\#EMMO\_50a44256\_9dc5\_434b\_bad4\_74a4d9a29989}

\textbf{Elucidation:} The force applied perpendicular to the surface of
an object per unit area over which that force is distributed.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/pressure}{http://dbpedia.org/page/Pressure}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04819}{https://doi.org/10.1351/goldbook.P04819}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{isqbasequantity}{%
\subsection{ISQBaseQuantity}\label{isqbasequantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1a4c1a97_88a7_4d8e_b2f9_2ca58e92dde4}{http://emmo.info/emmo/middle/isq\#EMMO\_1a4c1a97\_88a7\_4d8e\_b2f9\_2ca58e92dde4}

\textbf{Elucidation:} Base quantities defined in the International
System of Quantities (ISQ).

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/international_system_of_quantities}{https://en.wikipedia.org/wiki/International\_System\_of\_Quantities}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a
  \protect\hyperlink{internationalsystemofquantity}{InternationalSystemOfQuantity}
\item
  is\_a \protect\hyperlink{basequantity}{BaseQuantity}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\item
  disjoint\_union\_of
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{mass}{Mass}
\end{itemize}

\hypertarget{luminousintensity}{%
\subsection{LuminousIntensity}\label{luminousintensity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_50bf79a6_a48b_424d_9d2c_813bd631231a}{http://emmo.info/emmo/middle/isq\#EMMO\_50bf79a6\_a48b\_424d\_9d2c\_813bd631231a}

\textbf{Elucidation:} A measure of the wavelength-weighted power emitted
by a light source in a particular direction per unit solid angle. It is
based on the luminosity function, which is a standardized model of the
sensitivity of the human eye.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/luminous_intensity}{http://dbpedia.org/page/Luminous\_intensity}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  disjoint\_with \protect\hyperlink{mass}{Mass},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{electriccharge}{%
\subsection{ElectricCharge}\label{electriccharge}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1604f495_328a_4f28_9962_f4cc210739dd}{http://emmo.info/emmo/middle/isq\#EMMO\_1604f495\_328a\_4f28\_9962\_f4cc210739dd}

\textbf{Elucidation:} The physical property of matter that causes it to
experience a force when placed in an electromagnetic field.

\textbf{Altlabel:} Charge

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electric_charge}{http://dbpedia.org/page/Electric\_charge}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01923}{https://doi.org/10.1351/goldbook.E01923}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{time}{%
\subsection{Time}\label{time}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_d4f7d378_5e3b_468a_baa1_a7e98358cda7}{http://emmo.info/emmo/middle/isq\#EMMO\_d4f7d378\_5e3b\_468a\_baa1\_a7e98358cda7}

\textbf{Elucidation:} The indefinite continued progress of existence and
events that occur in apparently irreversible succession from the past
through the present to the future.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/time}{http://dbpedia.org/page/Time}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06375}{https://doi.org/10.1351/goldbook.T06375}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{timedimension}{TimeDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{illuminance}{%
\subsection{Illuminance}\label{illuminance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_b51fbd00_a857_4132_9711_0ef70e7bdd20}{http://emmo.info/emmo/middle/isq\#EMMO\_b51fbd00\_a857\_4132\_9711\_0ef70e7bdd20}

\textbf{Definition:} The total luminous flux incident on a surface, per
unit area.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/illuminance}{http://dbpedia.org/page/Illuminance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.i02941}{https://doi.org/10.1351/goldbook.I02941}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{thermodynamictemperature}{%
\subsection{ThermodynamicTemperature}\label{thermodynamictemperature}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_affe07e4_e9bc_4852_86c6_69e26182a17f}{http://emmo.info/emmo/middle/isq\#EMMO\_affe07e4\_e9bc\_4852\_86c6\_69e26182a17f}

\textbf{Elucidation:} Thermodynamic temperature is the absolute measure
of temperature. It is defined by the third law of thermodynamics in
which the theoretically lowest temperature is the null or zero point.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/thermodynamic_temperature}{http://dbpedia.org/page/Thermodynamic\_temperature}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06321}{https://doi.org/10.1351/goldbook.T06321}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{inductance}{%
\subsection{Inductance}\label{inductance}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_04cc9451_5306_45d0_8554_22cee4d6e785}{http://emmo.info/emmo/middle/isq\#EMMO\_04cc9451\_5306\_45d0\_8554\_22cee4d6e785}

\textbf{Elucidation:} A property of an electrical conductor by which a
change in current through it induces an electromotive force in both the
conductor itself and in any nearby conductors by mutual inductance.

\textbf{Altlabel:} ElectricInductance

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/inductance}{http://dbpedia.org/page/Inductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m04076}{https://doi.org/10.1351/goldbook.M04076}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{doseequivalent}{%
\subsection{DoseEquivalent}\label{doseequivalent}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3df10765_f6ff_4c9e_be3d_10b1809d78bd}{http://emmo.info/emmo/middle/isq\#EMMO\_3df10765\_f6ff\_4c9e\_be3d\_10b1809d78bd}

\textbf{Elucidation:} A dose quantity used in the International
Commission on Radiological Protection (ICRP) system of radiological
protection.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/energy}{http://dbpedia.org/page/Energy}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02101}{https://doi.org/10.1351/goldbook.E02101}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{magneticfluxdensity}{%
\subsection{MagneticFluxDensity}\label{magneticfluxdensity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_961d1aba_f75e_4411_aaa4_457f7516ed6b}{http://emmo.info/emmo/middle/isq\#EMMO\_961d1aba\_f75e\_4411\_aaa4\_457f7516ed6b}

\textbf{Elucidation:} Strength of the magnetic field.

\textbf{Comment:} Often denoted B.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/magnetic_field}{http://dbpedia.org/page/Magnetic\_field}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03686}{https://doi.org/10.1351/goldbook.M03686}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{number-branch}{%
\section{Number branch}\label{number-branch}}

\begin{figure}
\centering
\includegraphics[width=4.5625in,height=\textheight]{genfigs/NumberT.pdf}
\caption{Number branch.}
\end{figure}

\hypertarget{boolean}{%
\subsection{Boolean}\label{boolean}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_54dc83cb_06e1_4739_9e45_bc09cead7f48}{http://emmo.info/emmo/middle/math\#EMMO\_54dc83cb\_06e1\_4739\_9e45\_bc09cead7f48}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{number}{Number}
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} only type
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} exactly 1 type
\item
  equivalent\_to \protect\hyperlink{hasnumericaldata}{hasNumericalData}
  some type
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{real}{Real}, \protect\hyperlink{integer}{Integer}
\end{itemize}

\hypertarget{integer}{%
\subsection{Integer}\label{integer}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_f8bd64d5_5d3e_4ad4_a46e_c30714fecb7f}{http://emmo.info/emmo/middle/math\#EMMO\_f8bd64d5\_5d3e\_4ad4\_a46e\_c30714fecb7f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{number}{Number}
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} only type
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} exactly 1 type
\item
  equivalent\_to \protect\hyperlink{hasnumericaldata}{hasNumericalData}
  some type
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{boolean}{Boolean},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{real}{Real}
\end{itemize}

\hypertarget{number}{%
\subsection{Number}\label{number}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_21f56795_ee72_4858_b571_11cfaa59c1a8}{http://emmo.info/emmo/middle/math\#EMMO\_21f56795\_ee72\_4858\_b571\_11cfaa59c1a8}

\textbf{Elucidation:} A numerical data value.

\textbf{Comment:} A number is actually a string (e.g.~1.4, 1e-8) of
numerical digits and other symbols. However, in order not to increase
complexity of the taxonomy and relations, here we take a number as an
``atomic'' object (i.e.~we do not include digits in the EMMO as alphabet
for numbers).

A `Number' individual provide the link between the ontology and the
actual data, through the data property hasNumericalValue.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{numerical}{Numerical}
\item
  is\_a \protect\hyperlink{mathematicalsymbol}{MathematicalSymbol}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{real}{%
\subsection{Real}\label{real}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_18d180e4_5e3e_42f7_820c_e08951223486}{http://emmo.info/emmo/middle/math\#EMMO\_18d180e4\_5e3e\_42f7\_820c\_e08951223486}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{number}{Number}
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} only type
\item
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} exactly 1 type
\item
  equivalent\_to \protect\hyperlink{hasnumericaldata}{hasNumericalData}
  some type
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{boolean}{Boolean},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{integer}{Integer}
\end{itemize}

\hypertarget{measurement-unit-branch}{%
\section{Measurement Unit branch}\label{measurement-unit-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MeasurementUnitT.pdf}
\caption{Measurement Unit branch.}
\end{figure}

\hypertarget{sicoherentunit}{%
\subsection{SICoherentUnit}\label{sicoherentunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_707c6032_e272_4a20_98b5_d35c4f67be68}{http://emmo.info/emmo/middle/siunits\#EMMO\_707c6032\_e272\_4a20\_98b5\_d35c4f67be68}

\textbf{Comment:} Derived units are defined as products of powers of the
base units. When the numerical factor of this product is one, the
derived units are called coherent derived units. The base and coherent
derived units of the SI form a coherent set, designated the set of
coherent SI units.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siunit}{SIUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{unitone-2}{%
\subsection{UnitOne}\label{unitone-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_5ebd5e01_0ed3_49a2_a30d_cd05cbe72978}{http://emmo.info/emmo/middle/metrology\#EMMO\_5ebd5e01\_0ed3\_49a2\_a30d\_cd05cbe72978}

\textbf{Elucidation:} Represents the number 1, used as an explicit unit
to say something has no units.

\textbf{Example:} Refractive index or volume fraction.

\textbf{Example:} Typically used for ratios of two units whos dimensions
cancels out.

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/unitless}{http://qudt.org/vocab/unit/UNITLESS}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{baseunit}{BaseUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{siunit}{%
\subsection{SIUnit}\label{siunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_feb03a8a_bbb6_4918_a891_46713ef557f4}{http://emmo.info/emmo/middle/siunits\#EMMO\_feb03a8a\_bbb6\_4918\_a891\_46713ef557f4}

\textbf{Elucidation:} The set of units provided by the SI referring to
the ISQ.

\textbf{Comment:} The complete set of SI units includes both the
coherent set and the multiples and sub-multiples formed by using the SI
prefixes.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{measurementunit}{MeasurementUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sinoncoherentderivedunit}{SINonCoherentDerivedUnit},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{specialunit-3}{%
\subsection{SpecialUnit}\label{specialunit-3}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_3ee80521_3c23_4dd1_935d_9d522614a3e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_3ee80521\_3c23\_4dd1\_935d\_9d522614a3e2}

\textbf{Elucidation:} A unit symbol that stands for a derived unit.

\textbf{Example:} Pa stands for N/m2 J stands for N m

\textbf{Comment:} Special units are semiotic shortcuts to more complex
composed symbolic objects.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sign}{Sign}
\item
  Inverse(\protect\hyperlink{hassign}{hasSign}) some
  \protect\hyperlink{derivedunit}{DerivedUnit}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{sicoherentderivedunit}{%
\subsection{SICoherentDerivedUnit}\label{sicoherentderivedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_1273eb34_de48_43a9_925f_104110469dd2}{http://emmo.info/emmo/middle/siunits\#EMMO\_1273eb34\_de48\_43a9\_925f\_104110469dd2}

\textbf{Elucidation:} A SI derived unit whos numerical factor in front
of the product of SI base units is one.

\textbf{Example:} m/s kg/m\^{}3

\textbf{Comment:} This class collects all units that are products or
powers of SI base or SI special units only.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sicoherentunit}{SICoherentUnit}
\item
  disjoint\_with
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{measurementunit}{%
\subsection{MeasurementUnit}\label{measurementunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_b081b346_7279_46ef_9a3d_2c088fcd79f4}{http://emmo.info/emmo/middle/metrology\#EMMO\_b081b346\_7279\_46ef\_9a3d\_2c088fcd79f4}

\textbf{Elucidation:} A `Quantity' that stands for the standard
reference magnitude of a specific class of measurement processes,
defined and adopted by convention or by law.

The numerical quantity value of the `MeasurementUnit' is conventionally
1 and does not appear.

Quantitative measurement results are expressed as a multiple of the
`MeasurementUnit'.

\textbf{Comment:} ``Real scalar quantity, defined and adopted by
convention, with which any other quantity of the same kind can be
compared to express the ratio of the second quantity to the first one as
a number'' ISO 80000-1

\textbf{Comment:} ``Unit symbols are mathematical entities and not
abbreviations.''

``Symbols for units are treated as mathematical entities. In expressing
the value of a quantity as the product of a numerical value and a unit,
both the numerical value and the unit may be treated by the ordinary
rules of algebra.''

https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9-EN.pdf

\textbf{Comment:} While the SI brochure treats `MeasurementUnit' as a
`PhysicalQuantity', in the EMMO this is not possible since the latter
always has two direct parts, a `Numerical' and a `MeasurementUnit',
while the former a single `Symbol'.

SI distinguishes between a quantity (an abstract concept) and the
quantity value (a number and a reference). The EMMO, following strict
nominalism, considers a SI quantity as a SI quantity value, collapsing
the two concepts into one: the `Quantity'.

So, for the EMMO the symbol ``kg'' is not a physical quantity but a
`MeasurementUnit', while the string ``1 kg'' is `Physical Quantity'.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{referenceunit}{ReferenceUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit},
  \protect\hyperlink{prefixedunit}{PrefixedUnit}
\end{itemize}

\hypertarget{siprefixedunit}{%
\subsection{SIPrefixedUnit}\label{siprefixedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_d41ce84b_4317_41fb_a5d1_6cd281fca106}{http://emmo.info/emmo/middle/siunits\#EMMO\_d41ce84b\_4317\_41fb\_a5d1\_6cd281fca106}

\textbf{Elucidation:} A SI base or special unit with a metric prefix.

\textbf{Comment:} The presence of the prefix makes this units
non-coherent with SI system.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{prefixedunit}{PrefixedUnit}
\item
  is\_a \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} exactly
  1 \protect\hyperlink{siunitsymbol}{SIUnitSymbol}
\item
  disjoint\_with \protect\hyperlink{sicoherentunit}{SICoherentUnit},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{arithmeticexpression}{ArithmeticExpression},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{sinoncoherentderivedunit}{SINonCoherentDerivedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{sinoncoherentderivedunit}{%
\subsection{SINonCoherentDerivedUnit}\label{sinoncoherentderivedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_60b78cc3_6011_4134_95ab_956f56d4bdc1}{http://emmo.info/emmo/middle/siunits\#EMMO\_60b78cc3\_6011\_4134\_95ab\_956f56d4bdc1}

\textbf{Elucidation:} A derived unit whos numerical factor in front of
the product of base units is NOT equal to one.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit}
\item
  disjoint\_with \protect\hyperlink{sicoherentunit}{SICoherentUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{unitsymbol-2}{%
\subsection{UnitSymbol}\label{unitsymbol-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_216f448e_cdbc_4aeb_a529_7a5fe7fc38bb}{http://emmo.info/emmo/middle/metrology\#EMMO\_216f448e\_cdbc\_4aeb\_a529\_7a5fe7fc38bb}

\textbf{Elucidation:} A symbol that stands for a single unit.

\textbf{Example:} Some examples are ``Pa'', ``m'' and ``J''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrologicalsymbol}{MetrologicalSymbol}
\item
  is\_a \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\item
  equivalent\_to \protect\hyperlink{measurementunit}{MeasurementUnit}
  and \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\item
  disjoint\_union\_of \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{baseunit}{BaseUnit}
\end{itemize}

\hypertarget{derivedunit}{%
\subsection{DerivedUnit}\label{derivedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_08b308d4_31cd_4779_a784_aa92fc730f39}{http://emmo.info/emmo/middle/metrology\#EMMO\_08b308d4\_31cd\_4779\_a784\_aa92fc730f39}

\textbf{Elucidation:} Derived units are defined as products of powers of
the base units corresponding to the relations defining the derived
quantities in terms of the base quantities.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{offsystemunit}{%
\subsection{OffSystemUnit}\label{offsystemunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_591e02fd_8d37_45a6_9d11_bb21cef391a0}{http://emmo.info/emmo/middle/metrology\#EMMO\_591e02fd\_8d37\_45a6\_9d11\_bb21cef391a0}

\textbf{Elucidation:} A unit that does not belong to any system of
units.

\textbf{Example:} eV barn

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{measurementunit}{MeasurementUnit}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{nonprefixedunit}{%
\subsection{NonPrefixedUnit}\label{nonprefixedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_868ae137_4d25_493e_b270_21ea3d94849e}{http://emmo.info/emmo/middle/metrology\#EMMO\_868ae137\_4d25\_493e\_b270\_21ea3d94849e}

\textbf{Elucidation:} A measurement unit symbol that do not have a
metric prefix as a direct spatial part.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{measurementunit}{MeasurementUnit}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} only
  not \protect\hyperlink{metricprefix}{MetricPrefix}
\item
  equivalent\_to \protect\hyperlink{derivedunit}{DerivedUnit} or
  \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{siunitsymbol-3}{%
\subsection{SIUnitSymbol}\label{siunitsymbol-3}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_32129fb5_df25_48fd_a29c_18a2f22a2dd5}{http://emmo.info/emmo/middle/siunits\#EMMO\_32129fb5\_df25\_48fd\_a29c\_18a2f22a2dd5}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  is\_a \protect\hyperlink{sicoherentunit}{SICoherentUnit}
\item
  is\_a \protect\hyperlink{object}{Object}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{sispecialunit}{SISpecialUnit}
\end{itemize}

\hypertarget{baseunit-2}{%
\subsection{BaseUnit}\label{baseunit-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_db716151_6b73_45ff_910c_d182fdcbb4f5}{http://emmo.info/emmo/middle/metrology\#EMMO\_db716151\_6b73\_45ff\_910c\_d182fdcbb4f5}

\textbf{Elucidation:} A set of units that correspond to the base
quantities in a system of units.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{sinoncoherentunit}{%
\subsection{SINonCoherentUnit}\label{sinoncoherentunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_8246541a_f1f6_4d03_8bd7_fc6b76d17375}{http://emmo.info/emmo/middle/siunits\#EMMO\_8246541a\_f1f6\_4d03\_8bd7\_fc6b76d17375}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siunit}{SIUnit}
\item
  disjoint\_with \protect\hyperlink{sicoherentunit}{SICoherentUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\item
  disjoint\_union\_of
  \protect\hyperlink{sinoncoherentderivedunit}{SINonCoherentDerivedUnit},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit}
\end{itemize}

\hypertarget{utf8-branch}{%
\section{UTF8 branch}\label{utf8-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/UTF8T.pdf}
\caption{UTF8 branch.}
\end{figure}

\hypertarget{metre}{%
\subsection{Metre}\label{metre}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_7db11dbf_a643_464a_9b56_07eabcc3e9c5}{http://emmo.info/emmo/middle/siunits\#EMMO\_7db11dbf\_a643\_464a\_9b56\_07eabcc3e9c5}

\textbf{Definition:} The metre, symbol m, is the SI unit of length. It
is defined by taking the fixed numerical value of the speed of light in
vacuum c to be 299792458 when expressed in the unit m s−1, where the
second is defined in terms of \(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03884}{https://doi.org/10.1351/goldbook.M03884}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/m}{http://qudt.org/vocab/unit/M}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM}
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{lengthdimension}{LengthDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``m''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{tera}{Tera},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga}, \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{latincapitallettera}{%
\subsection{LatinCapitalLetterA}\label{latincapitallettera}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_2125f2d0_5050_49e3_a579_4c74bc9fd02e}{http://emmo.info/emmo/middle/metrology\#EMMO\_2125f2d0\_5050\_49e3\_a579\_4c74bc9fd02e}

\textbf{Altlabel:} A

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``A''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{sispecialunit}{SISpecialUnit},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole}, \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{atto}{%
\subsection{Atto}\label{atto}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_42955b2d_b465_4666_86cc_ea3c2d685753}{http://emmo.info/emmo/middle/siunits\#EMMO\_42955b2d\_b465\_4666\_86cc\_ea3c2d685753}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-18
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``a''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{greeksmalllettermu}{%
\subsection{GreekSmallLetterMu}\label{greeksmalllettermu}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_1e9c2a4b_abb9_4b27_bd9c_e31aac337a04}{http://emmo.info/emmo/middle/metrology\#EMMO\_1e9c2a4b\_abb9\_4b27\_bd9c\_e31aac337a04}

\textbf{Altlabel:} \(\upmu\)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``μ''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{space}{%
\subsection{Space}\label{space}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_ea192c80_6029_4410_863c_8eed7ea52037}{http://emmo.info/emmo/middle/metrology\#EMMO\_ea192c80\_6029\_4410\_863c\_8eed7ea52037}

\textbf{Altlabel:}

\textbf{Comment:} U+0020

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  " "
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{latinsmalllettera}{%
\subsection{LatinSmallLetterA}\label{latinsmalllettera}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_cfcf0f48_09ac_4770_a06a_684a42b4a14c}{http://emmo.info/emmo/middle/metrology\#EMMO\_cfcf0f48\_09ac\_4770\_a06a\_684a42b4a14c}

\textbf{Altlabel:} a

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``a''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{utf8}{%
\subsection{UTF8}\label{utf8}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_e13b2173_1dec_4b97_9ac1_1dc4b418612a}{http://emmo.info/emmo/middle/metrology\#EMMO\_e13b2173\_1dec\_4b97\_9ac1\_1dc4b418612a}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{ampere}{%
\subsection{Ampere}\label{ampere}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_db5dd38d_ac79_4af6_8782_fee7e7150ae8}{http://emmo.info/emmo/middle/siunits\#EMMO\_db5dd38d\_ac79\_4af6\_8782\_fee7e7150ae8}

\textbf{Definition:} The ampere, symbol A, is the SI unit of electric
current. It is defined by taking the fixed numerical value of the
elementary charge e to be 1.602176634×10−19 when expressed in the unit
C, which is equal to A s, where the second is defined in terms of
\(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00300}{https://doi.org/10.1351/goldbook.A00300}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/a}{http://qudt.org/vocab/unit/A}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA}
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``A''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{milli}{%
\subsection{Milli}\label{milli}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a3a701ed_6f7d_4a10_9aee_dfa1961fc7b7}{http://emmo.info/emmo/middle/siunits\#EMMO\_a3a701ed\_6f7d\_4a10\_9aee\_dfa1961fc7b7}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 0.001
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``m''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{sispecialunit}{SISpecialUnit},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga}, \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{latinsmallletterm}{%
\subsection{LatinSmallLetterM}\label{latinsmallletterm}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_aa0d5cde_cbdc_4815_b46d_2f76b00a6bde}{http://emmo.info/emmo/middle/metrology\#EMMO\_aa0d5cde\_cbdc\_4815\_b46d\_2f76b00a6bde}

\textbf{Altlabel:} m

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``m''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{candela}{Candela}, \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{sispecialunit}{SISpecialUnit},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin}, \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{microunit}{%
\subsection{MicroUnit}\label{microunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_2cfdcca6_6231_48aa_81b5_388b464bfe80}{http://emmo.info/emmo/middle/metrology\#EMMO\_2cfdcca6\_6231\_48aa\_81b5\_388b464bfe80}

\textbf{Altlabel:} µ

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{utf8}{UTF8}
\item
  equivalent\_to \protect\hyperlink{hassymboldata}{hasSymbolData} value
  ``µ''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{micro}{%
\subsection{Micro}\label{micro}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_9ff3bf8e_2168_406e_8251_1d158fc948ae}{http://emmo.info/emmo/middle/siunits\#EMMO\_9ff3bf8e\_2168\_406e\_8251\_1d158fc948ae}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{microunit}{MicroUnit}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-06
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``µ''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{si-base-unit-branch}{%
\section{SI Base Unit branch}\label{si-base-unit-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/SIBaseUnitT.pdf}
\caption{SI Base Unit branch.}
\end{figure}

\hypertarget{metre-1}{%
\subsection{Metre}\label{metre-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_7db11dbf_a643_464a_9b56_07eabcc3e9c5}{http://emmo.info/emmo/middle/siunits\#EMMO\_7db11dbf\_a643\_464a\_9b56\_07eabcc3e9c5}

\textbf{Definition:} The metre, symbol m, is the SI unit of length. It
is defined by taking the fixed numerical value of the speed of light in
vacuum c to be 299792458 when expressed in the unit m s−1, where the
second is defined in terms of \(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03884}{https://doi.org/10.1351/goldbook.M03884}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/m}{http://qudt.org/vocab/unit/M}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM}
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{lengthdimension}{LengthDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``m''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{tera}{Tera},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga}, \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{ampere-1}{%
\subsection{Ampere}\label{ampere-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_db5dd38d_ac79_4af6_8782_fee7e7150ae8}{http://emmo.info/emmo/middle/siunits\#EMMO\_db5dd38d\_ac79\_4af6\_8782\_fee7e7150ae8}

\textbf{Definition:} The ampere, symbol A, is the SI unit of electric
current. It is defined by taking the fixed numerical value of the
elementary charge e to be 1.602176634×10−19 when expressed in the unit
C, which is equal to A s, where the second is defined in terms of
\(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00300}{https://doi.org/10.1351/goldbook.A00300}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/a}{http://qudt.org/vocab/unit/A}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA}
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``A''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{kilogram}{%
\subsection{Kilogram}\label{kilogram}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_9bfd6f1e_b0ce_459c_beb7_8f1f41708bba}{http://emmo.info/emmo/middle/siunits\#EMMO\_9bfd6f1e\_b0ce\_459c\_beb7\_8f1f41708bba}

\textbf{Definition:} The kilogram, symbol kg, is the SI unit of mass. It
is defined by taking the fixed numerical value of the Planck constant h
to be 6.62607015×10−34 when expressed in the unit J s, which is equal to
kg m2 s−1, where the metre and the second are defined in terms of c and
\(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.k03391}{https://doi.org/10.1351/goldbook.K03391}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/kilogm}{http://qudt.org/vocab/unit/KiloGM}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{massdimension}{MassDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``kg''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{kelvin}{%
\subsection{Kelvin}\label{kelvin}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_2e5e45fc_f52c_4294_bdc2_5ed7a06dfce7}{http://emmo.info/emmo/middle/siunits\#EMMO\_2e5e45fc\_f52c\_4294\_bdc2\_5ed7a06dfce7}

\textbf{Definition:} The kelvin, symbol K, is the SI unit of
thermodynamic temperature. It is defined by taking the fixed numerical
value of the Boltzmann constant k to be 1.380649×10−23 when expressed in
the unit J K−1, which is equal to kg m2 s−2 K−1, where the kilogram,
metre and second are defined in terms of h, c and \(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.k03374}{https://doi.org/10.1351/goldbook.K03374}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/k}{http://qudt.org/vocab/unit/K}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``K''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{second}{%
\subsection{Second}\label{second}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_314ba716_2d3d_4462_9a4f_d3419ae1df43}{http://emmo.info/emmo/middle/siunits\#EMMO\_314ba716\_2d3d\_4462\_9a4f\_d3419ae1df43}

\textbf{Definition:} The second, symbol s, is the SI unit of time. It is
defined by taking the fixed numerical value of the caesium frequency
\(\nabla\)\(\upnu\)Cs, the unperturbed ground-state hyperfine transition
frequency of the caesium 133 atom, to be 9192631770 when expressed in
the unit Hz, which is equal to s−1.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05513}{https://doi.org/10.1351/goldbook.S05513}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/sec}{http://qudt.org/vocab/unit/SEC}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{timedimension}{TimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``s''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{mole}{%
\subsection{Mole}\label{mole}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_df6eeb01_1b41_4bd8_9257_a04fbd7cf000}{http://emmo.info/emmo/middle/siunits\#EMMO\_df6eeb01\_1b41\_4bd8\_9257\_a04fbd7cf000}

\textbf{Definition:} The mole, symbol mol, is the SI unit of amount of
substance. One mole contains exactly 6.022 140 76 × 1023 elementary
entities. This number is the fixed numerical value of the Avogadro
constant, NA, when expressed in the unit mol−1 and is called the
Avogadro number. The amount of substance, symbol n, of a system is a
measure of the number of specified elementary entities. An elementary
entity may be an atom, a molecule, an ion, an electron, any other
particle or specified group of particles.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03980}{https://doi.org/10.1351/goldbook.M03980}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/mol}{http://qudt.org/vocab/unit/MOL}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{amountdimension}{AmountDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``mol''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{sibaseunit}{%
\subsection{SIBaseUnit}\label{sibaseunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_3a185e6c_9e19_4776_b583_19c978156aa0}{http://emmo.info/emmo/middle/siunits\#EMMO\_3a185e6c\_9e19\_4776\_b583\_19c978156aa0}

\textbf{Elucidation:} The base units in the SI system.

\textbf{Seealso:}
\href{https://www.bipm.org/utils/common/pdf/si-brochure/si-brochure-9-en.pdf}{https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9-EN.pdf}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{baseunit}{BaseUnit}
\item
  is\_a \protect\hyperlink{siunitsymbol}{SIUnitSymbol}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{tera}{Tera},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{second}{Second}, \protect\hyperlink{metre}{Metre},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{ampere}{Ampere}, \protect\hyperlink{mole}{Mole}
\end{itemize}

\hypertarget{candela}{%
\subsection{Candela}\label{candela}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_8d00f093_3f45_4ea3_986c_b3545c3c2f4c}{http://emmo.info/emmo/middle/siunits\#EMMO\_8d00f093\_3f45\_4ea3\_986c\_b3545c3c2f4c}

\textbf{Definition:} The candela, symbol cd, is the SI unit of luminous
intensity in a given direction. It is defined by taking the fixed
numerical value of the luminous efficacy of monochromatic radiation of
frequency 540×1012 Hz, Kcd, to be 683 when expressed in the unit lm W−1,
which is equal to cd sr W−1, or cd sr kg−1 m−2 s3, where the kilogram,
metre and second are defined in terms of h, c and \(\nabla\)\(\upnu\)Cs.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c00787}{https://doi.org/10.1351/goldbook.C00787}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/cd}{http://qudt.org/vocab/unit/CD}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sibaseunit}{SIBaseUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``cd''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{specialunit}{SpecialUnit},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{si-special-unit-branch}{%
\section{SI Special Unit branch}\label{si-special-unit-branch}}

\begin{figure}
\centering
\includegraphics[width=3.66667in,height=\textheight]{genfigs/SISpecialUnitT.pdf}
\caption{SI Special Unit branch.}
\end{figure}

\hypertarget{becquerel}{%
\subsection{Becquerel}\label{becquerel}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_b71e4ba5_8f73_4199_8c96_7ea7f94d9e2a}{http://emmo.info/emmo/middle/siunits\#EMMO\_b71e4ba5\_8f73\_4199\_8c96\_7ea7f94d9e2a}

\textbf{Definition:} Radioactive decays per second.

\textbf{Comment:} Unit for radioactive activity.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.b00624}{https://doi.org/10.1351/goldbook.B00624}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/bq}{http://qudt.org/vocab/unit/BQ}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Bq''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{newton}{Newton}, \protect\hyperlink{lux}{Lux},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{sispecialunit}{%
\subsection{SISpecialUnit}\label{sispecialunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_e9ffc696_5228_4ff9_8a60_0f5e05e9931b}{http://emmo.info/emmo/middle/siunits\#EMMO\_e9ffc696\_5228\_4ff9\_8a60\_0f5e05e9931b}

\textbf{Elucidation:} The 22 derived units that are given a special name
in the SI system that stands for units derived by SI base units.

\textbf{Comment:} These units are SI coherent by definition.

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/international_system_of_units\#derived_units}{https://en.wikipedia.org/wiki/International\_System\_of\_Units\#Derived\_units}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{specialunit}{SpecialUnit}
\item
  is\_a \protect\hyperlink{siunitsymbol}{SIUnitSymbol}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{watt}{Watt}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{joule}{Joule}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{pascal}{Pascal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{newton}{Newton}, \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{volt}{Volt}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{siemens}{Siemens}, \protect\hyperlink{henry}{Henry}
\end{itemize}

\hypertarget{newton}{%
\subsection{Newton}\label{newton}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a979c531_f9fa_4a6e_93c1.0.0-alpha2960241ca6}{http://emmo.info/emmo/middle/siunits\#EMMO\_a979c531\_f9fa\_4a6e\_93c1.0.0-alpha2960241ca6}

\textbf{Comment:} Measurement unit for force.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.n04135}{https://doi.org/10.1351/goldbook.N04135}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/n}{http://qudt.org/vocab/unit/N}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``N''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{lux}{Lux},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{katal}{%
\subsection{Katal}\label{katal}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_33b67e69_3645_4c73_b100_5ea6759221b4}{http://emmo.info/emmo/middle/siunits\#EMMO\_33b67e69\_3645\_4c73\_b100\_5ea6759221b4}

\textbf{Comment:} Measurement unit for catalytic activity.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.k03372}{https://doi.org/10.1351/goldbook.K03372}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/kat}{http://qudt.org/vocab/unit/KAT}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``kat''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{lumen}{Lumen},
  \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{farad}{%
\subsection{Farad}\label{farad}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a9201b2f_e6de_442a_b3a6_d291.0.0-alpha2a582}{http://emmo.info/emmo/middle/siunits\#EMMO\_a9201b2f\_e6de\_442a\_b3a6\_d291.0.0-alpha2a582}

\textbf{Comment:} Measurement unit for electric capacitance.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.f02320}{https://doi.org/10.1351/goldbook.F02320}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/farad}{http://qudt.org/vocab/unit/FARAD}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``F''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{lumen}{Lumen},
  \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{lux}{%
\subsection{Lux}\label{lux}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_da1dd4a7_c611_4ad4_bef6_7646f28aa598}{http://emmo.info/emmo/middle/siunits\#EMMO\_da1dd4a7\_c611\_4ad4\_bef6\_7646f28aa598}

\textbf{Comment:} Measurement unit for illuminance.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03651}{https://doi.org/10.1351/goldbook.L03651}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/lux}{http://qudt.org/vocab/unit/LUX}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``lx''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{weber}{%
\subsection{Weber}\label{weber}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_d7f11b34_a121_4519_87c0_aa754f1c4737}{http://emmo.info/emmo/middle/siunits\#EMMO\_d7f11b34\_a121\_4519\_87c0\_aa754f1c4737}

\textbf{Comment:} Measurement unit for magnetic flux.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.w06666}{https://doi.org/10.1351/goldbook.W06666}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/wb}{http://qudt.org/vocab/unit/WB}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Wb''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{siemens}{%
\subsection{Siemens}\label{siemens}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f2523820_04a6_44ab_bb67_8237dda2b0c2}{http://emmo.info/emmo/middle/siunits\#EMMO\_f2523820\_04a6\_44ab\_bb67\_8237dda2b0c2}

\textbf{Comment:} Measurement unit for electrical conductance.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``S''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{lumen}{Lumen},
  \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{lumen}{%
\subsection{Lumen}\label{lumen}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_d7b7fd1e_645a_42cb_8f40_85f0d034d3ae}{http://emmo.info/emmo/middle/siunits\#EMMO\_d7b7fd1e\_645a\_42cb\_8f40\_85f0d034d3ae}

\textbf{Comment:} Measurement unit for luminous flux.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03639}{https://doi.org/10.1351/goldbook.L03639}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/lm}{http://qudt.org/vocab/unit/LM}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``lm''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{hertz}{%
\subsection{Hertz}\label{hertz}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_e75f580e_52bf_4dd5_af70_df409cec08fd}{http://emmo.info/emmo/middle/siunits\#EMMO\_e75f580e\_52bf\_4dd5\_af70\_df409cec08fd}

\textbf{Comment:} Measurement unit for frequence.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.h02785}{https://doi.org/10.1351/goldbook.H02785}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/hz}{http://qudt.org/vocab/unit/HZ}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Hz''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{radian}{%
\subsection{Radian}\label{radian}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a121bb1d_5225_4c78_809b_0268c3012208}{http://emmo.info/emmo/middle/siunits\#EMMO\_a121bb1d\_5225\_4c78\_809b\_0268c3012208}

\textbf{Elucidation:} Measure of plane angle.

\textbf{Comment:} Dimensionless measurement unit for plane angle.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.r05036}{https://doi.org/10.1351/goldbook.R05036}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/rad}{http://qudt.org/vocab/unit/RAD}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``rad''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{pascal}{%
\subsection{Pascal}\label{pascal}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a80dc6f5_b1aa_41a7_a3a8_cd5040da2162}{http://emmo.info/emmo/middle/siunits\#EMMO\_a80dc6f5\_b1aa\_41a7\_a3a8\_cd5040da2162}

\textbf{Comment:} Measurement unit for pressure.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04442}{https://doi.org/10.1351/goldbook.P04442}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/pa}{http://qudt.org/vocab/unit/PA}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Pa''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{degreecelsius}{%
\subsection{DegreeCelsius}\label{degreecelsius}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_b20be325_8bfd_4237_bee7_201ab0fd9c75}{http://emmo.info/emmo/middle/siunits\#EMMO\_b20be325\_8bfd\_4237\_bee7\_201ab0fd9c75}

\textbf{Comment:} Measurement unit for Celsius temperature. This unit
can only be used for expressing temperature differences.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.d01561}{https://doi.org/10.1351/goldbook.D01561}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/deg_c}{http://qudt.org/vocab/unit/DEG\_C}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``°C''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{volt}{%
\subsection{Volt}\label{volt}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_e2207e91_02b0_4a8a_b13e_61d2a2a839f1}{http://emmo.info/emmo/middle/siunits\#EMMO\_e2207e91\_02b0\_4a8a\_b13e\_61d2a2a839f1}

\textbf{Comment:} Measurement unit for voltage.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.v06634}{https://doi.org/10.1351/goldbook.V06634}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/v}{http://qudt.org/vocab/unit/V}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``V''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{tesla}{%
\subsection{Tesla}\label{tesla}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_acb50123_87a2_4753_b36c_f87114ad4de2}{http://emmo.info/emmo/middle/siunits\#EMMO\_acb50123\_87a2\_4753\_b36c\_f87114ad4de2}

\textbf{Comment:} Measurement unit for magnetic flux density or
induction.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06283}{https://doi.org/10.1351/goldbook.T06283}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/t}{http://qudt.org/vocab/unit/T}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``T''
\item
  disjoint\_with \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{yotta}{Yotta}, \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{mega}{Mega},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{zetta}{Zetta}, \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{division}{Division},
  \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry}, \protect\hyperlink{peta}{Peta},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{femto}{Femto}, \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{newton}{Newton}, \protect\hyperlink{lux}{Lux},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule}
\end{itemize}

\hypertarget{coulomb}{%
\subsection{Coulomb}\label{coulomb}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_696ed548_9477_45ea_993c_6a8f5271914a}{http://emmo.info/emmo/middle/siunits\#EMMO\_696ed548\_9477\_45ea\_993c\_6a8f5271914a}

\textbf{Comment:} Measurement unit for electric charge.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c01365}{https://doi.org/10.1351/goldbook.C01365}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/c}{http://qudt.org/vocab/unit/C}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``C''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{joule}{Joule}, \protect\hyperlink{ohm}{Ohm},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{sievert}{%
\subsection{Sievert}\label{sievert}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_dc232f53_8ed8_4ddd_9f41_cc057985eadb}{http://emmo.info/emmo/middle/siunits\#EMMO\_dc232f53\_8ed8\_4ddd\_9f41\_cc057985eadb}

\textbf{Comment:} Measurement unit for equivalent doseof ionizing
radiation.

Sievert is derived from absorbed dose, but takes into account the
biological effectiveness of the radiation, which is dependent on the
radiation type and energy.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05658}{https://doi.org/10.1351/goldbook.S05658}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/sv}{http://qudt.org/vocab/unit/SV}

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/equivalent_dose}{https://en.wikipedia.org/wiki/Equivalent\_dose}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Sv''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{watt}{%
\subsection{Watt}\label{watt}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_080052a1_f295_44be_a60f_1326ce13f1ba}{http://emmo.info/emmo/middle/siunits\#EMMO\_080052a1\_f295\_44be\_a60f\_1326ce13f1ba}

\textbf{Comment:} Measurement unit for power.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.w06656}{https://doi.org/10.1351/goldbook.W06656}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/w}{http://qudt.org/vocab/unit/W}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``W''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{ohm}{%
\subsection{Ohm}\label{ohm}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_59c10c5c_47bd_4348_ba39_38836607dfa1}{http://emmo.info/emmo/middle/siunits\#EMMO\_59c10c5c\_47bd\_4348\_ba39\_38836607dfa1}

\textbf{Comment:} Measurement unit for resistance.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.o04280}{https://doi.org/10.1351/goldbook.O04280}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/ohm}{http://qudt.org/vocab/unit/OHM}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Ω''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{gray}{%
\subsection{Gray}\label{gray}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_00199e76_69dc_45b6_a9c6_98cc90cdc0f5}{http://emmo.info/emmo/middle/siunits\#EMMO\_00199e76\_69dc\_45b6\_a9c6\_98cc90cdc0f5}

\textbf{Comment:} Measurement unit for absorbed dose.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.g02696}{https://doi.org/10.1351/goldbook.G02696}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/gray}{http://qudt.org/vocab/unit/GRAY}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Gy''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ohm}{Ohm},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{joule}{%
\subsection{Joule}\label{joule}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_8a70dea4_d6ab_4260_b931_a3e990982416}{http://emmo.info/emmo/middle/siunits\#EMMO\_8a70dea4\_d6ab\_4260\_b931\_a3e990982416}

\textbf{Comment:} Measurement unit for energy.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.j03363}{https://doi.org/10.1351/goldbook.J03363}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/j}{http://qudt.org/vocab/unit/J}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``J''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{steradian}{%
\subsection{Steradian}\label{steradian}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_cf3dd6cc_c5d6_4b3d_aef4_82f3b7a361af}{http://emmo.info/emmo/middle/siunits\#EMMO\_cf3dd6cc\_c5d6\_4b3d\_aef4\_82f3b7a361af}

\textbf{Elucidation:} Dimensionless measurement unit for solid angle.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05971}{https://doi.org/10.1351/goldbook.S05971}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/sr}{http://qudt.org/vocab/unit/SR}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``sr''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{henry}{%
\subsection{Henry}\label{henry}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_fab003c8_f7a6_4346_9988_7161325ed7a3}{http://emmo.info/emmo/middle/siunits\#EMMO\_fab003c8\_f7a6\_4346\_9988\_7161325ed7a3}

\textbf{Comment:} Measurement unit for electrical inductance.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.h02782}{https://doi.org/10.1351/goldbook.H02782}

\textbf{Qudtmatch:}
\href{http://qudt.org/vocab/unit/h}{http://qudt.org/vocab/unit/H}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{sispecialunit}{SISpecialUnit}
\item
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} some
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension}
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``H''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{katal}{Katal}, \protect\hyperlink{farad}{Farad},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{tesla}{Tesla},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{simetricprefix}{SIMetricPrefix},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{sicoherentderivedunit}{SICoherentDerivedUnit},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{newton}{Newton},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{lux}{Lux}, \protect\hyperlink{weber}{Weber},
  \protect\hyperlink{minus}{Minus}, \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{baseunit}{BaseUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{prefixed-unit-branch}{%
\section{Prefixed Unit branch}\label{prefixed-unit-branch}}

\begin{figure}
\centering
\includegraphics[width=6.9375in,height=\textheight]{genfigs/PrefixedUnitT.pdf}
\caption{Prefixed Unit branch.}
\end{figure}

\hypertarget{prefixedunit}{%
\subsection{PrefixedUnit}\label{prefixedunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_c6d4a5e0_7e95_44df_a6db_84ee0a8bbc8e}{http://emmo.info/emmo/middle/metrology\#EMMO\_c6d4a5e0\_7e95\_44df\_a6db\_84ee0a8bbc8e}

\textbf{Elucidation:} A measurement unit that is made of a metric prefix
and a unit symbol.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{measurementunit}{MeasurementUnit}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} only
  (\protect\hyperlink{unitsymbol}{UnitSymbol} or
  \protect\hyperlink{metricprefix}{MetricPrefix})
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} exactly
  1 \protect\hyperlink{unitsymbol}{UnitSymbol}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} exactly
  1 \protect\hyperlink{metricprefix}{MetricPrefix}
\item
  disjoint\_with
  \protect\hyperlink{arithmeticexpression}{ArithmeticExpression},
  \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\item
  disjoint\_union\_of \protect\hyperlink{multipleunit}{MultipleUnit},
  \protect\hyperlink{submultipleunit}{SubMultipleUnit}
\end{itemize}

\hypertarget{submultipleunit}{%
\subsection{SubMultipleUnit}\label{submultipleunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_a2f94f33_71fa_443c_a1fb_d1685fc537ec}{http://emmo.info/emmo/middle/metrology\#EMMO\_a2f94f33\_71fa\_443c\_a1fb\_d1685fc537ec}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{prefixedunit}{PrefixedUnit}
\item
  disjoint\_with \protect\hyperlink{multipleunit}{MultipleUnit},
  \protect\hyperlink{arithmeticexpression}{ArithmeticExpression},
  \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\end{itemize}

\hypertarget{siprefixedunit-1}{%
\subsection{SIPrefixedUnit}\label{siprefixedunit-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_d41ce84b_4317_41fb_a5d1_6cd281fca106}{http://emmo.info/emmo/middle/siunits\#EMMO\_d41ce84b\_4317\_41fb\_a5d1\_6cd281fca106}

\textbf{Elucidation:} A SI base or special unit with a metric prefix.

\textbf{Comment:} The presence of the prefix makes this units
non-coherent with SI system.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{prefixedunit}{PrefixedUnit}
\item
  is\_a \protect\hyperlink{sinoncoherentunit}{SINonCoherentUnit}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} exactly
  1 \protect\hyperlink{siunitsymbol}{SIUnitSymbol}
\item
  disjoint\_with \protect\hyperlink{sicoherentunit}{SICoherentUnit},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{arithmeticexpression}{ArithmeticExpression},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{sinoncoherentderivedunit}{SINonCoherentDerivedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{multipleunit}{%
\subsection{MultipleUnit}\label{multipleunit}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_62f0d847_3603_45b4_bfc4_dd4511355ff2}{http://emmo.info/emmo/middle/metrology\#EMMO\_62f0d847\_3603\_45b4\_bfc4\_dd4511355ff2}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{prefixedunit}{PrefixedUnit}
\item
  disjoint\_with
  \protect\hyperlink{arithmeticexpression}{ArithmeticExpression},
  \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{submultipleunit}{SubMultipleUnit},
  \protect\hyperlink{nonprefixedunit}{NonPrefixedUnit}
\end{itemize}

\hypertarget{metric-prefix-branch}{%
\section{Metric Prefix branch}\label{metric-prefix-branch}}

\begin{figure}
\centering
\includegraphics[width=4.79167in,height=\textheight]{genfigs/MetricPrefixT.pdf}
\caption{Metric Prefix branch.}
\end{figure}

\hypertarget{peta}{%
\subsection{Peta}\label{peta}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_43a6b269_da31_4bb6_a537_c97df4fff32a}{http://emmo.info/emmo/middle/siunits\#EMMO\_43a6b269\_da31\_4bb6\_a537\_c97df4fff32a}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value
  1000000000000000.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``P''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{deci}{%
\subsection{Deci}\label{deci}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_1181c938_c8f0_4ad6_bc7a_2bfdc0903d29}{http://emmo.info/emmo/middle/siunits\#EMMO\_1181c938\_c8f0\_4ad6\_bc7a\_2bfdc0903d29}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 0.1
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``d''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{atto-1}{%
\subsection{Atto}\label{atto-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_42955b2d_b465_4666_86cc_ea3c2d685753}{http://emmo.info/emmo/middle/siunits\#EMMO\_42955b2d\_b465\_4666\_86cc\_ea3c2d685753}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-18
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``a''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{yocto}{%
\subsection{Yocto}\label{yocto}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f5769206_9257_4b08_bf7b_dad7868c6afc}{http://emmo.info/emmo/middle/siunits\#EMMO\_f5769206\_9257\_4b08\_bf7b\_dad7868c6afc}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-24
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``y''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{tera}{%
\subsection{Tera}\label{tera}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_3a204900_2b33_47d1_b444_815cc4c8cffa}{http://emmo.info/emmo/middle/siunits\#EMMO\_3a204900\_2b33\_47d1\_b444\_815cc4c8cffa}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value
  1000000000000.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``T''
\item
  disjoint\_with \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{sibaseunit}{SIBaseUnit},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{yotta}{Yotta}, \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{mega}{Mega},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{zetta}{Zetta}, \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{division}{Division},
  \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry}, \protect\hyperlink{peta}{Peta},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{femto}{Femto}, \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{newton}{Newton}, \protect\hyperlink{lux}{Lux},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{volt}{Volt}, \protect\hyperlink{space}{Space},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule}
\end{itemize}

\hypertarget{kilo}{%
\subsection{Kilo}\label{kilo}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_74931b1b_c133_4e59_9a75_1bf0e1626201}{http://emmo.info/emmo/middle/siunits\#EMMO\_74931b1b\_c133\_4e59\_9a75\_1bf0e1626201}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1000.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``k''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{yotta}{%
\subsection{Yotta}\label{yotta}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_e79c62ff_10ad_4ec0_baba_c19ddd4eaa11}{http://emmo.info/emmo/middle/siunits\#EMMO\_e79c62ff\_10ad\_4ec0\_baba\_c19ddd4eaa11}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e+24
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Y''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{milli-1}{%
\subsection{Milli}\label{milli-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a3a701ed_6f7d_4a10_9aee_dfa1961fc7b7}{http://emmo.info/emmo/middle/siunits\#EMMO\_a3a701ed\_6f7d\_4a10\_9aee\_dfa1961fc7b7}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 0.001
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``m''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{second}{Second},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{sispecialunit}{SISpecialUnit},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga}, \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{giga}{%
\subsection{Giga}\label{giga}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_a8eb4bbb_1bd3_4ad4_b114_2789bcbd2134}{http://emmo.info/emmo/middle/siunits\#EMMO\_a8eb4bbb\_1bd3\_4ad4\_b114\_2789bcbd2134}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value
  1000000000.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``G''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{centi}{%
\subsection{Centi}\label{centi}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_b55cd09a_e54d_4eb1_81dd_03c29d1b878e}{http://emmo.info/emmo/middle/siunits\#EMMO\_b55cd09a\_e54d\_4eb1\_81dd\_03c29d1b878e}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 0.01
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``c''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{micro-1}{%
\subsection{Micro}\label{micro-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_9ff3bf8e_2168_406e_8251_1d158fc948ae}{http://emmo.info/emmo/middle/siunits\#EMMO\_9ff3bf8e\_2168\_406e\_8251\_1d158fc948ae}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{microunit}{MicroUnit}
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-06
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``µ''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{nano}{%
\subsection{Nano}\label{nano}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_e1981c25_7c55_4020_aa7a_d2e14ced86d4}{http://emmo.info/emmo/middle/siunits\#EMMO\_e1981c25\_7c55\_4020\_aa7a\_d2e14ced86d4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-09
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``n''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{zepto}{%
\subsection{Zepto}\label{zepto}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_254472c6_3dbd_4f02_bc43_571389cd281f}{http://emmo.info/emmo/middle/siunits\#EMMO\_254472c6\_3dbd\_4f02\_bc43\_571389cd281f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-21
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``z''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{pico}{%
\subsection{Pico}\label{pico}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_068c4e58_2470_4b1c_8454_010dd4906100}{http://emmo.info/emmo/middle/siunits\#EMMO\_068c4e58\_2470\_4b1c\_8454\_010dd4906100}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-12
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``p''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{mega}{%
\subsection{Mega}\label{mega}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_5eaecadc_4f0d_4a3a_afc7_1fc0b83cc928}{http://emmo.info/emmo/middle/siunits\#EMMO\_5eaecadc\_4f0d\_4a3a\_afc7\_1fc0b83cc928}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1000000.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``M''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{femto}{Femto}, \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{femto}{%
\subsection{Femto}\label{femto}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_23bfe79a_cade_48f1_9a8c_fd96e6bac8ba}{http://emmo.info/emmo/middle/siunits\#EMMO\_23bfe79a\_cade\_48f1\_9a8c\_fd96e6bac8ba}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e-15
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``f''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{simetricprefix}{%
\subsection{SIMetricPrefix}\label{simetricprefix}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_471cb92b_edca_4cf9_bce8_a75084d876b8}{http://emmo.info/emmo/middle/siunits\#EMMO\_471cb92b\_edca\_4cf9\_bce8\_a75084d876b8}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metricprefix}{MetricPrefix}
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{siemens}{Siemens},
  \protect\hyperlink{farad}{Farad}, \protect\hyperlink{katal}{Katal},
  \protect\hyperlink{lumen}{Lumen}, \protect\hyperlink{second}{Second},
  \protect\hyperlink{hertz}{Hertz},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{pascal}{Pascal},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{coulomb}{Coulomb},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{sievert}{Sievert},
  \protect\hyperlink{candela}{Candela},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{watt}{Watt},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{steradian}{Steradian},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{henry}{Henry},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{becquerel}{Becquerel},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{newton}{Newton}, \protect\hyperlink{lux}{Lux},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{kelvin}{Kelvin},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{weber}{Weber}, \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{radian}{Radian},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{degreecelsius}{DegreeCelsius},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{volt}{Volt},
  \protect\hyperlink{kilogram}{Kilogram},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mole}{Mole},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{gray}{Gray},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{ohm}{Ohm}, \protect\hyperlink{joule}{Joule},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{division}{Division}
\item
  disjoint\_union\_of \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{deci}{Deci}, \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{hecto}{Hecto}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{zepto}{Zepto}, \protect\hyperlink{tera}{Tera},
  \protect\hyperlink{atto}{Atto}, \protect\hyperlink{peta}{Peta},
  \protect\hyperlink{exa}{Exa}, \protect\hyperlink{mega}{Mega},
  \protect\hyperlink{kilo}{Kilo}, \protect\hyperlink{micro}{Micro},
  \protect\hyperlink{milli}{Milli}, \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{centi}{Centi}, \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{yocto}{Yocto}
\end{itemize}

\hypertarget{exa}{%
\subsection{Exa}\label{exa}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_5cf9f86c_86f5_40c4_846d_60371f670e0a}{http://emmo.info/emmo/middle/siunits\#EMMO\_5cf9f86c\_86f5\_40c4\_846d\_60371f670e0a}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e+18
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``E''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{hecto}{%
\subsection{Hecto}\label{hecto}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_21aaefc1_3f86_4208_b7db_a755f31f0f8c}{http://emmo.info/emmo/middle/siunits\#EMMO\_21aaefc1\_3f86\_4208\_b7db\_a755f31f0f8c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 100.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``h''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{metricprefix}{%
\subsection{MetricPrefix}\label{metricprefix}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_7d2afa66_ae9e_4095_a9bf_421d0be401b6}{http://emmo.info/emmo/middle/metrology\#EMMO\_7d2afa66\_ae9e\_4095\_a9bf\_421d0be401b6}

\textbf{Elucidation:} Dimensionless multiplicative unit prefix.

\textbf{Seealso:}
\href{https://en.wikipedia.org/wiki/metric_prefix}{https://en.wikipedia.org/wiki/Metric\_prefix}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematicalsymbol}{MathematicalSymbol}
\item
  is\_a \protect\hyperlink{constant}{Constant}
\item
  is\_a \protect\hyperlink{metrologicalsymbol}{MetrologicalSymbol}
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel}
\end{itemize}

\hypertarget{deka}{%
\subsection{Deka}\label{deka}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_1d8b370b_c672_4d0c_964e_eaafcbf2f51f}{http://emmo.info/emmo/middle/siunits\#EMMO\_1d8b370b\_c672\_4d0c\_964e\_eaafcbf2f51f}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 10.0
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``da''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{zetta}{Zetta},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{zetta}{%
\subsection{Zetta}\label{zetta}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_daa9ee97_4c5f_42e5_918c_44d7523e8958}{http://emmo.info/emmo/middle/siunits\#EMMO\_daa9ee97\_4c5f\_42e5\_918c\_44d7523e8958}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{simetricprefix}{SIMetricPrefix}
\item
  Inverse(\protect\hyperlink{hasvariable}{hasVariable}) only
  \protect\hyperlink{hasnumericaldata}{hasNumericalData} value 1e+21
\item
  \protect\hyperlink{hassymboldata}{hasSymbolData} value ``Z''
\item
  disjoint\_with \protect\hyperlink{dimensionone}{DimensionOne},
  \protect\hyperlink{plus}{Plus}, \protect\hyperlink{kilo}{Kilo},
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension},
  \protect\hyperlink{centi}{Centi},
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension},
  \protect\hyperlink{pertimedimension}{PerTimeDimension},
  \protect\hyperlink{latincapitallettera}{LatinCapitalLetterA},
  \protect\hyperlink{nano}{Nano}, \protect\hyperlink{zepto}{Zepto},
  \protect\hyperlink{massdimension}{MassDimension},
  \protect\hyperlink{quantity}{Quantity},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension},
  \protect\hyperlink{exa}{Exa},
  \protect\hyperlink{lengthdimension}{LengthDimension},
  \protect\hyperlink{hecto}{Hecto},
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension},
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{latinsmalllettera}{LatinSmallLetterA},
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension},
  \protect\hyperlink{latinsmallletterm}{LatinSmallLetterM},
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension},
  \protect\hyperlink{gradient}{Gradient},
  \protect\hyperlink{peta}{Peta}, \protect\hyperlink{deci}{Deci},
  \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{timedimension}{TimeDimension},
  \protect\hyperlink{yocto}{Yocto},
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension},
  \protect\hyperlink{tera}{Tera}, \protect\hyperlink{equals}{Equals},
  \protect\hyperlink{amountdimension}{AmountDimension},
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{yotta}{Yotta},
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension},
  \protect\hyperlink{giga}{Giga},
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension},
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension},
  \protect\hyperlink{minus}{Minus},
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension},
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension},
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension},
  \protect\hyperlink{multiplication}{Multiplication},
  \protect\hyperlink{microunit}{MicroUnit},
  \protect\hyperlink{pico}{Pico},
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension},
  \protect\hyperlink{greeksmalllettermu}{GreekSmallLetterMu},
  \protect\hyperlink{mega}{Mega}, \protect\hyperlink{femto}{Femto},
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension},
  \protect\hyperlink{peramountdimension}{PerAmountDimension},
  \protect\hyperlink{space}{Space},
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension},
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension},
  \protect\hyperlink{laplacian}{Laplacian},
  \protect\hyperlink{equation}{Equation},
  \protect\hyperlink{deka}{Deka},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{temperaturedimension}{TemperatureDimension},
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension},
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension},
  \protect\hyperlink{siunitsymbol}{SIUnitSymbol},
  \protect\hyperlink{division}{Division}
\end{itemize}

\hypertarget{quantity-branch}{%
\section{Quantity branch}\label{quantity-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/QuantityT.pdf}
\caption{Quantity branch.}
\end{figure}

\hypertarget{modelledquantitativeproperty-1}{%
\subsection{ModelledQuantitativeProperty}\label{modelledquantitativeproperty-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_d0200cf1_e4f4_45ae_873f_b9359daea3cd}{http://emmo.info/emmo/middle/properties\#EMMO\_d0200cf1\_e4f4\_45ae\_873f\_b9359daea3cd}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{conventionalquantitativeproperty-1}{%
\subsection{ConventionalQuantitativeProperty}\label{conventionalquantitativeproperty-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_d8aa8e1f_b650_416d_88a0_5118de945456}{http://emmo.info/emmo/middle/properties\#EMMO\_d8aa8e1f\_b650\_416d\_88a0\_5118de945456}

\textbf{Elucidation:} A quantitative property attributed by agreement to
a quantity for a given purpose.

\textbf{Example:} The thermal conductivity of a copper sample in my
laboratory can be assumed to be the conductivity that appears in the
vendor specification. This value has been obtained by measurement of a
sample which is not the one I have in my laboratory. This conductivity
value is then a conventional quantitiative property assigned to my
sample through a semiotic process in which no actual measurement is done
by my laboratory.

If I don't believe the vendor, then I can measure the actual thermal
conductivity. I then perform a measurement process that semiotically
assign another value for the conductivity, which is a measured property,
since is part of a measurement process.

Then I have two different physical quantities that are properties thanks
to two different semiotic processes.

\textbf{Comment:} A property that is associated to an object by
convention, or assumption.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{quantity}{%
\subsection{Quantity}\label{quantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_f658c301_ce93_46cf_9639_4eace2c5d1d5}{http://emmo.info/emmo/middle/metrology\#EMMO\_f658c301\_ce93\_46cf\_9639\_4eace2c5d1d5}

\textbf{Elucidation:} A symbolic that has parts a reference unit and a
numerical object separated by a space expressing the value of a
quantitative property (expressed as the product of the numerical and the
unit).

\textbf{Example:} 6.8 m 0.9 km 8 K 6 MeV 43.5 HRC(150 kg)

\textbf{Comment:} A quantity is not necessarily a property, since it is
possible to write ``10 kg'', without assigning this quantity to a
specific object.

However, a quantitative property is always a quantity.

\textbf{Comment:} Referred as Quantity Value in International vocabulary
of metrology (VIM)

\textbf{Comment:} SI distinguishes between a quantity (an abstract
concept) and the quantity value (a number and a reference).

The EMMO, following strict nominalism, denies the existence of abstract
objects and then collapses the two concepts of SI quantity and SI
quantity value into a single one: the `Quantity'.

So, for the EMMO the symbol ``kg'' is not a physical quantity but simply
a `Symbolic' object categorized as a `MeasurementUnit'.

While the string ``1 kg'' is a `Physical Quantity'.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{metrological}{Metrological}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} exactly 1
  \protect\hyperlink{referenceunit}{ReferenceUnit}
\item
  \protect\hyperlink{hasquantityvalue}{hasQuantityValue} exactly 1
  \protect\hyperlink{numerical}{Numerical}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of
  \protect\hyperlink{physicalquantity}{PhysicalQuantity},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity}
\end{itemize}

\hypertarget{measuredquantitativeproperty-1}{%
\subsection{MeasuredQuantitativeProperty}\label{measuredquantitativeproperty-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_873b0ab3_88e6_4054_b901_5531e01f14a4}{http://emmo.info/emmo/middle/properties\#EMMO\_873b0ab3\_88e6\_4054\_b901\_5531e01f14a4}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantitativeproperty}{QuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{quantitativeproperty-1}{%
\subsection{QuantitativeProperty}\label{quantitativeproperty-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/properties\#emmo_dd4a7f3e_ef56_466c_ac1a_d2716b5f87ec}{http://emmo.info/emmo/middle/properties\#EMMO\_dd4a7f3e\_ef56\_466c\_ac1a\_d2716b5f87ec}

\textbf{Elucidation:} A `Quantity' that can be quantified with respect
to a standardized reference physical instance (e.g.~the prototype meter
bar, the kg prototype) or method (e.g.~resilience) through a measurement
process.

\textbf{Comment:} ``A property of a phenomenon, body, or substance,
where the property has a magnitude that can be expressed by means of a
number and a reference'' ISO 80000-1

``A reference can be a measurement unit, a measurement procedure, a
reference material, or a combination of such.'' International vocabulary
of metrology (VIM)

\textbf{Comment:} A quantitative property is always expresssed as a
quantity (i.e.~a number and a reference unit). For the EMMO, a
nominalistic ontology, there is no property as abstract object.

A property is a sign that stands for an object according to a specific
code shared by some observers.

For quantititative properties, one possible code that is shared between
the scientific community (the observers) is the SI system of units.

\textbf{Comment:} Subclasses of `QuantitativeProperty' classify objects
according to the type semiosis that is used to connect the property to
the object (e.g.~by measurement, by convention, by modelling).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantity}{Quantity}
\item
  is\_a \protect\hyperlink{objectiveproperty}{ObjectiveProperty}
\item
  equivalent\_to
  \protect\hyperlink{measuredquantitativeproperty}{MeasuredQuantitativeProperty}
  or
  \protect\hyperlink{modelledquantitativeproperty}{ModelledQuantitativeProperty}
  or
  \protect\hyperlink{conventionalquantitativeproperty}{ConventionalQuantitativeProperty}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{subjectiveproperty}{SubjectiveProperty}
\end{itemize}

\hypertarget{ordinalquantity}{%
\subsection{OrdinalQuantity}\label{ordinalquantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_c46f091c_0420_4c1a_af30_0a2c8ebcf7d7}{http://emmo.info/emmo/middle/metrology\#EMMO\_c46f091c\_0420\_4c1a\_af30\_0a2c8ebcf7d7}

\textbf{Elucidation:} ``Quantity, defined by a conventional measurement
procedure, for which a total ordering relation can be established,
according to magnitude, with other quantities of the same kind, but for
which no algebraic operations among those quantities exist''
International vocabulary of metrology (VIM)

\textbf{Example:} Hardness Resilience

\textbf{Comment:} ``Ordinal quantities, such as Rockwell C hardness, are
usually not considered to be part of a system of quantities because they
are related to other quantities through empirical relations only.''
International vocabulary of metrology (VIM)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{quantity}{Quantity}
\item
  disjoint\_with \protect\hyperlink{physicalquantity}{PhysicalQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{base-quantity-branch}{%
\section{Base Quantity branch}\label{base-quantity-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/BaseQuantityT.pdf}
\caption{Base Quantity branch.}
\end{figure}

\hypertarget{basequantity}{%
\subsection{BaseQuantity}\label{basequantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_acaaa124_3dde_48b6_86e6_6ec6f364f408}{http://emmo.info/emmo/middle/metrology\#EMMO\_acaaa124\_3dde\_48b6\_86e6\_6ec6f364f408}

\textbf{Elucidation:} ``Quantity in a conventionally chosen subset of a
given system of quantities, where no quantity in the subset can be
expressed in terms of the other quantities within that subset'' ISO
80000-1

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{baseunit}{BaseUnit}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{luminousintensity-1}{%
\subsection{LuminousIntensity}\label{luminousintensity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_50bf79a6_a48b_424d_9d2c_813bd631231a}{http://emmo.info/emmo/middle/isq\#EMMO\_50bf79a6\_a48b\_424d\_9d2c\_813bd631231a}

\textbf{Elucidation:} A measure of the wavelength-weighted power emitted
by a light source in a particular direction per unit solid angle. It is
based on the luminosity function, which is a standardized model of the
sensitivity of the human eye.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/luminous_intensity}{http://dbpedia.org/page/Luminous\_intensity}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  disjoint\_with \protect\hyperlink{mass}{Mass},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{mass-1}{%
\subsection{Mass}\label{mass-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ed4af7ae_63a2_497e_bb88_2309619ea405}{http://emmo.info/emmo/middle/isq\#EMMO\_ed4af7ae\_63a2\_497e\_bb88\_2309619ea405}

\textbf{Elucidation:} Property of a physical body that express its
resistance to acceleration (a change in its state of motion) when a
force is applied.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/mass}{http://dbpedia.org/page/Mass}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03709}{https://doi.org/10.1351/goldbook.M03709}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{massdimension}{MassDimension}
\item
  Inverse(\protect\hyperlink{hasproperty}{hasProperty}) only
  \protect\hyperlink{matter}{Matter}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{length-1}{%
\subsection{Length}\label{length-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_cd2cd0de_e0cc_4ef1_b27e_2e88db027bac}{http://emmo.info/emmo/middle/isq\#EMMO\_cd2cd0de\_e0cc\_4ef1\_b27e\_2e88db027bac}

\textbf{Elucidation:} Extend of a spatial dimension.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/length}{http://dbpedia.org/page/Length}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03498}{https://doi.org/10.1351/goldbook.L03498}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{lengthdimension}{LengthDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{time-1}{%
\subsection{Time}\label{time-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_d4f7d378_5e3b_468a_baa1_a7e98358cda7}{http://emmo.info/emmo/middle/isq\#EMMO\_d4f7d378\_5e3b\_468a\_baa1\_a7e98358cda7}

\textbf{Elucidation:} The indefinite continued progress of existence and
events that occur in apparently irreversible succession from the past
through the present to the future.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/time}{http://dbpedia.org/page/Time}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06375}{https://doi.org/10.1351/goldbook.T06375}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{timedimension}{TimeDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{thermodynamictemperature-1}{%
\subsection{ThermodynamicTemperature}\label{thermodynamictemperature-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_affe07e4_e9bc_4852_86c6_69e26182a17f}{http://emmo.info/emmo/middle/isq\#EMMO\_affe07e4\_e9bc\_4852\_86c6\_69e26182a17f}

\textbf{Elucidation:} Thermodynamic temperature is the absolute measure
of temperature. It is defined by the third law of thermodynamics in
which the theoretically lowest temperature is the null or zero point.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/thermodynamic_temperature}{http://dbpedia.org/page/Thermodynamic\_temperature}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06321}{https://doi.org/10.1351/goldbook.T06321}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{amountofsubstance-1}{%
\subsection{AmountOfSubstance}\label{amountofsubstance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8159c26a_494b_4fa0_9959_10888f152298}{http://emmo.info/emmo/middle/isq\#EMMO\_8159c26a\_494b\_4fa0\_9959\_10888f152298}

\textbf{Elucidation:} The number of elementary entities present.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/amount_of_substance}{http://dbpedia.org/page/Amount\_of\_substance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00297}{https://doi.org/10.1351/goldbook.A00297}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{amountdimension}{AmountDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{electriccurrent-1}{%
\subsection{ElectricCurrent}\label{electriccurrent-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_c995ae70_3b84_4ebb_bcfc_69e6a281bb88}{http://emmo.info/emmo/middle/isq\#EMMO\_c995ae70\_3b84\_4ebb\_bcfc\_69e6a281bb88}

\textbf{Elucidation:} A flow of electric charge.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electric_current}{http://dbpedia.org/page/Electric\_current}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01927}{https://doi.org/10.1351/goldbook.E01927}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqbasequantity}{ISQBaseQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{electriccurrentdimension}{ElectricCurrentDimension}
\item
  disjoint\_with
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{mass}{Mass}, \protect\hyperlink{length}{Length},
  \protect\hyperlink{time}{Time}, \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\end{itemize}

\hypertarget{isqbasequantity-1}{%
\subsection{ISQBaseQuantity}\label{isqbasequantity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1a4c1a97_88a7_4d8e_b2f9_2ca58e92dde4}{http://emmo.info/emmo/middle/isq\#EMMO\_1a4c1a97\_88a7\_4d8e\_b2f9\_2ca58e92dde4}

\textbf{Elucidation:} Base quantities defined in the International
System of Quantities (ISQ).

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/international_system_of_quantities}{https://en.wikipedia.org/wiki/International\_System\_of\_Quantities}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a
  \protect\hyperlink{internationalsystemofquantity}{InternationalSystemOfQuantity}
\item
  is\_a \protect\hyperlink{basequantity}{BaseQuantity}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{derivedquantity}{DerivedQuantity}
\item
  disjoint\_union\_of
  \protect\hyperlink{luminousintensity}{LuminousIntensity},
  \protect\hyperlink{amountofsubstance}{AmountOfSubstance},
  \protect\hyperlink{thermodynamictemperature}{ThermodynamicTemperature},
  \protect\hyperlink{electriccurrent}{ElectricCurrent},
  \protect\hyperlink{length}{Length}, \protect\hyperlink{time}{Time},
  \protect\hyperlink{mass}{Mass}
\end{itemize}

\hypertarget{derived-quantity-branch}{%
\section{Derived Quantity branch}\label{derived-quantity-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/DerivedQuantityT.pdf}
\caption{Derived Quantity branch.}
\end{figure}

\hypertarget{hyperfinetransitionfrequencyofcs-1}{%
\subsection{HyperfineTransitionFrequencyOfCs}\label{hyperfinetransitionfrequencyofcs-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f96feb3f_4438_4e43_aa44_7458c4d87fc2}{http://emmo.info/emmo/middle/siunits\#EMMO\_f96feb3f\_4438\_4e43\_aa44\_7458c4d87fc2}

\textbf{Elucidation:} The frequency standard in the SI system in which
the photon absorption by transitions between the two hyperfine ground
states of caesium-133 atoms are used to control the output frequency.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{frequency}{Frequency}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{absorbeddose-1}{%
\subsection{AbsorbedDose}\label{absorbeddose-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8e5dd473_808b_4a8a_b7cd_63068c12ff57}{http://emmo.info/emmo/middle/isq\#EMMO\_8e5dd473\_808b\_4a8a\_b7cd\_63068c12ff57}

\textbf{Definition:} Energy imparted to matter by ionizing radiation in
a suitable small element of volume divided by the mass of that element
of volume.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/absorbed_dose}{http://dbpedia.org/page/Absorbed\_dose}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00031}{https://doi.org/10.1351/goldbook.A00031}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{radioactivity-1}{%
\subsection{Radioactivity}\label{radioactivity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_8d3da9ac_2265_4382_bee5_db72046722f8}{http://emmo.info/emmo/middle/isq\#EMMO\_8d3da9ac\_2265\_4382\_bee5\_db72046722f8}

\textbf{Elucidation:} Decays per unit time.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00114}{https://doi.org/10.1351/goldbook.A00114}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{solidangle-1}{%
\subsection{SolidAngle}\label{solidangle-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e7c9f7fd_e534_4441_88fe_1fec6cb20f26}{http://emmo.info/emmo/middle/isq\#EMMO\_e7c9f7fd\_e534\_4441\_88fe\_1fec6cb20f26}

\textbf{Elucidation:} Ratio of area on a sphere to its radius squared.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/solid_angle}{http://dbpedia.org/page/Solid\_angle}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05732}{https://doi.org/10.1351/goldbook.S05732}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{energy-1}{%
\subsection{Energy}\label{energy-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_31ec09ba_1713_42cb_83c7_b38bf6f9ced2}{http://emmo.info/emmo/middle/isq\#EMMO\_31ec09ba\_1713\_42cb\_83c7\_b38bf6f9ced2}

\textbf{Elucidation:} A property of objects which can be transferred to
other objects or converted into different forms.

\textbf{Comment:} Energy is often defined as ``ability of a system to
perform work'', but it might be misleading since is not necessarily
available to do work.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/energy}{http://dbpedia.org/page/Energy}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02101}{https://doi.org/10.1351/goldbook.E02101}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimedimension}{MassSquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{frequency-1}{%
\subsection{Frequency}\label{frequency-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_852b4ab8_fc29_4749_a8c7_b92d4fca7d5a}{http://emmo.info/emmo/middle/isq\#EMMO\_852b4ab8\_fc29\_4749\_a8c7\_b92d4fca7d5a}

\textbf{Elucidation:} Number of periods per time interval.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/frequency}{http://dbpedia.org/page/Frequency}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.ft07383}{https://doi.org/10.1351/goldbook.FT07383}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{pertimedimension}{PerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{capacitance-1}{%
\subsection{Capacitance}\label{capacitance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_99dba333_0dbd_4f75_8841_8c0f97fd58e2}{http://emmo.info/emmo/middle/isq\#EMMO\_99dba333\_0dbd\_4f75\_8841\_8c0f97fd58e2}

\textbf{Elucidation:} The derivative of the electric charge of a system
with respect to the electric potential.

\textbf{Altlabel:} ElectricCapacitance

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/capacitance}{http://dbpedia.org/page/Capacitance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c00791}{https://doi.org/10.1351/goldbook.C00791}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{quartictimesquarecurrentpermasssquarelengthdimension}{QuarticTimeSquareCurrentPerMassSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{luminousflux-1}{%
\subsection{LuminousFlux}\label{luminousflux-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e2ee1c98_497a_4f66_b4ed_5711496a848e}{http://emmo.info/emmo/middle/isq\#EMMO\_e2ee1c98\_497a\_4f66\_b4ed\_5711496a848e}

\textbf{Elucidation:} Perceived power of light.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/luminous_flux}{http://dbpedia.org/page/Luminous\_flux}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.l03646}{https://doi.org/10.1351/goldbook.L03646}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitydimension}{LuminousIntensityDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electricresistance-1}{%
\subsection{ElectricResistance}\label{electricresistance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_e88f75d6_9a17_4cfc_bdf7_43d7cea5a9a1}{http://emmo.info/emmo/middle/isq\#EMMO\_e88f75d6\_9a17\_4cfc\_bdf7\_43d7cea5a9a1}

\textbf{Elucidation:} Measure of the difficulty to pass an electric
current through a material.

\textbf{Altlabel:} Resistance

\textbf{Comment:} Inverse of `ElectricalConductance'.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electrical_resistance_and_conductance}{http://dbpedia.org/page/Electrical\_resistance\_and\_conductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01936}{https://doi.org/10.1351/goldbook.E01936}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimesquarecurrentdimension}{MassSquareLengthPerCubicTimeSquareCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{force-1}{%
\subsection{Force}\label{force-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1f087811_06cb_42d5_90fb_25d0e7e068ef}{http://emmo.info/emmo/middle/isq\#EMMO\_1f087811\_06cb\_42d5\_90fb\_25d0e7e068ef}

\textbf{Elucidation:} Any interaction that, when unopposed, will change
the motion of an object.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/force}{http://dbpedia.org/page/Force}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.f02480}{https://doi.org/10.1351/goldbook.F02480}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masslengthpersquaretimedimension}{MassLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{pressure-1}{%
\subsection{Pressure}\label{pressure-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_50a44256_9dc5_434b_bad4_74a4d9a29989}{http://emmo.info/emmo/middle/isq\#EMMO\_50a44256\_9dc5\_434b\_bad4\_74a4d9a29989}

\textbf{Elucidation:} The force applied perpendicular to the surface of
an object per unit area over which that force is distributed.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/pressure}{http://dbpedia.org/page/Pressure}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04819}{https://doi.org/10.1351/goldbook.P04819}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{massperlengthsquaretimedimension}{MassPerLengthSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{catalyticactivity-1}{%
\subsection{CatalyticActivity}\label{catalyticactivity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_bd67d149_24c2_4bc9_833a_c2bc26f98fd3}{http://emmo.info/emmo/middle/isq\#EMMO\_bd67d149\_24c2\_4bc9\_833a\_c2bc26f98fd3}

\textbf{Elucidation:} Increase in the rate of reaction of a specified
chemical reaction that an enzyme produces in a specific assay system.

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.c00881}{https://doi.org/10.1351/goldbook.C00881}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{amountpertimedimension}{AmountPerTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electriccharge-1}{%
\subsection{ElectricCharge}\label{electriccharge-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_1604f495_328a_4f28_9962_f4cc210739dd}{http://emmo.info/emmo/middle/isq\#EMMO\_1604f495\_328a\_4f28\_9962\_f4cc210739dd}

\textbf{Elucidation:} The physical property of matter that causes it to
experience a force when placed in an electromagnetic field.

\textbf{Altlabel:} Charge

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electric_charge}{http://dbpedia.org/page/Electric\_charge}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01923}{https://doi.org/10.1351/goldbook.E01923}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{timecurrentdimension}{TimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{magneticfluxdensity-1}{%
\subsection{MagneticFluxDensity}\label{magneticfluxdensity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_961d1aba_f75e_4411_aaa4_457f7516ed6b}{http://emmo.info/emmo/middle/isq\#EMMO\_961d1aba\_f75e\_4411\_aaa4\_457f7516ed6b}

\textbf{Elucidation:} Strength of the magnetic field.

\textbf{Comment:} Often denoted B.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/magnetic_field}{http://dbpedia.org/page/Magnetic\_field}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03686}{https://doi.org/10.1351/goldbook.M03686}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masspersquaretimecurrentdimension}{MassPerSquareTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{illuminance-1}{%
\subsection{Illuminance}\label{illuminance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_b51fbd00_a857_4132_9711_0ef70e7bdd20}{http://emmo.info/emmo/middle/isq\#EMMO\_b51fbd00\_a857\_4132\_9711\_0ef70e7bdd20}

\textbf{Definition:} The total luminous flux incident on a surface, per
unit area.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/illuminance}{http://dbpedia.org/page/Illuminance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.i02941}{https://doi.org/10.1351/goldbook.I02941}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitypersquarelengthdimension}{LuminousIntensityPerSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{electricpotential-1}{%
\subsection{ElectricPotential}\label{electricpotential-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_4f2d3939_91b1_4001_b8ab_7d19074bf845}{http://emmo.info/emmo/middle/isq\#EMMO\_4f2d3939\_91b1\_4001\_b8ab\_7d19074bf845}

\textbf{Elucidation:} Energy required to move a unit charge through an
electric field from a reference point.

\textbf{Altlabel:} Voltage

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/voltage}{http://dbpedia.org/page/Voltage}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00424}{https://doi.org/10.1351/goldbook.A00424}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimecurrentdimension}{MassSquareLengthPerCubicTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{power-1}{%
\subsection{Power}\label{power-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_09b9021b_f97b_43eb_b83d_0a764b472bc2}{http://emmo.info/emmo/middle/isq\#EMMO\_09b9021b\_f97b\_43eb\_b83d\_0a764b472bc2}

\textbf{Elucidation:} Rate of transfer of energy per unit time.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/power_(physics)}{http://dbpedia.org/page/Power\_(physics)}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04792}{https://doi.org/10.1351/goldbook.P04792}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpercubictimedimension}{MassSquareLengthPerCubicTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{inductance-1}{%
\subsection{Inductance}\label{inductance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_04cc9451_5306_45d0_8554_22cee4d6e785}{http://emmo.info/emmo/middle/isq\#EMMO\_04cc9451\_5306\_45d0\_8554\_22cee4d6e785}

\textbf{Elucidation:} A property of an electrical conductor by which a
change in current through it induces an electromotive force in both the
conductor itself and in any nearby conductors by mutual inductance.

\textbf{Altlabel:} ElectricInductance

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/inductance}{http://dbpedia.org/page/Inductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m04076}{https://doi.org/10.1351/goldbook.M04076}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimesquarecurrentdimension}{MassSquareLengthPerSquareTimeSquareCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{celsiustemperature-1}{%
\subsection{CelsiusTemperature}\label{celsiustemperature-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_66bc9029_f473_45ff_bab9_c3509ff37a22}{http://emmo.info/emmo/middle/isq\#EMMO\_66bc9029\_f473\_45ff\_bab9\_c3509ff37a22}

\textbf{Elucidation:} An objective comparative measure of hot or cold.

Temperature is a relative quantity that can be used to express
temperature differences. Unlike ThermodynamicTemperature, it cannot
express absolute temperatures.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/temperature}{http://dbpedia.org/page/Temperature}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.t06261}{https://doi.org/10.1351/goldbook.T06261}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{temperaturedimension}{TemperatureDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{magneticflux-1}{%
\subsection{MagneticFlux}\label{magneticflux-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3b931698_937e_49be_ab1b_36fa52d91181}{http://emmo.info/emmo/middle/isq\#EMMO\_3b931698\_937e\_49be\_ab1b\_36fa52d91181}

\textbf{Elucidation:} Measure of magnetism, taking account of the
strength and the extent of a magnetic field.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/magnetic_flux}{http://dbpedia.org/page/Magnetic\_flux}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.m03684}{https://doi.org/10.1351/goldbook.M03684}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpersquaretimecurrentdimension}{MassSquareLengthPerSquareTimeCurrentDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{isqderivedquantity-1}{%
\subsection{ISQDerivedQuantity}\label{isqderivedquantity-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_2946d40b_24a1_47fa_8176_e3f79bb45064}{http://emmo.info/emmo/middle/isq\#EMMO\_2946d40b\_24a1\_47fa\_8176\_e3f79bb45064}

\textbf{Elucidation:} Derived quantities defined in the International
System of Quantities (ISQ).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a
  \protect\hyperlink{internationalsystemofquantity}{InternationalSystemOfQuantity}
\item
  is\_a \protect\hyperlink{derivedquantity}{DerivedQuantity}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{elementarycharge-1}{%
\subsection{ElementaryCharge}\label{elementarycharge-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_58a650f0_a638_4743_8439_535a325e5c4c}{http://emmo.info/emmo/middle/siunits\#EMMO\_58a650f0\_a638\_4743\_8439\_535a325e5c4c}

\textbf{Elucidation:} The magnitude of the electric charge carried by a
single electron.

\textbf{Comment:} The DBpedia definition
(http://dbpedia.org/page/Elementary\_charge) is outdated as May 20,
2019. It is now an exact quantity.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/elementary_charge}{http://dbpedia.org/page/Elementary\_charge}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02032}{https://doi.org/10.1351/goldbook.E02032}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_elementarycharge}{http://physics.nist.gov/cuu/CODATA-Value\_ElementaryCharge}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{electriccharge}{ElectricCharge}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{electricconductance-1}{%
\subsection{ElectricConductance}\label{electricconductance-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_ffb73b1e_5786_43e4_a964_cb32ac7affb7}{http://emmo.info/emmo/middle/isq\#EMMO\_ffb73b1e\_5786\_43e4\_a964\_cb32ac7affb7}

\textbf{Elucidation:} Measure of the ease for electric current to pass
through a material.

\textbf{Altlabel:} Conductance

\textbf{Comment:} Inverse of `ElectricalResistance'.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/electrical_resistance_and_conductance}{http://dbpedia.org/page/Electrical\_resistance\_and\_conductance}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e01925}{https://doi.org/10.1351/goldbook.E01925}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{cubictimesquarecurrentpermasssquarelengthdimension}{CubicTimeSquareCurrentPerMassSquareLengthDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{doseequivalent-1}{%
\subsection{DoseEquivalent}\label{doseequivalent-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_3df10765_f6ff_4c9e_be3d_10b1809d78bd}{http://emmo.info/emmo/middle/isq\#EMMO\_3df10765\_f6ff\_4c9e\_be3d\_10b1809d78bd}

\textbf{Elucidation:} A dose quantity used in the International
Commission on Radiological Protection (ICRP) system of radiological
protection.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/energy}{http://dbpedia.org/page/Energy}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02101}{https://doi.org/10.1351/goldbook.E02101}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{squarelengthpersquaretimedimension}{SquareLengthPerSquareTimeDimension}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{derivedquantity}{%
\subsection{DerivedQuantity}\label{derivedquantity}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_71f6ab56_342c_484b_bbe0_de86b7367cb3}{http://emmo.info/emmo/middle/metrology\#EMMO\_71f6ab56\_342c\_484b\_bbe0\_de86b7367cb3}

\textbf{Elucidation:} ``Quantity, in a system of quantities, defined in
terms of the base quantities of that system''.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{angle-1}{%
\subsection{Angle}\label{angle-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/isq\#emmo_f3dd74c0_f480_49e8_9764_33b78638c235}{http://emmo.info/emmo/middle/isq\#EMMO\_f3dd74c0\_f480\_49e8\_9764\_33b78638c235}

\textbf{Definition:} Ratio of circular arc length to radius.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/angle}{http://dbpedia.org/page/Angle}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00346}{https://doi.org/10.1351/goldbook.A00346}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{isqderivedquantity}{ISQDerivedQuantity}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{dimensionone}{DimensionOne}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{physical-constant-branch}{%
\section{Physical Constant branch}\label{physical-constant-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PhysicalConstantT.pdf}
\caption{Physical Constant branch.}
\end{figure}

\hypertarget{hyperfinetransitionfrequencyofcs-2}{%
\subsection{HyperfineTransitionFrequencyOfCs}\label{hyperfinetransitionfrequencyofcs-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f96feb3f_4438_4e43_aa44_7458c4d87fc2}{http://emmo.info/emmo/middle/siunits\#EMMO\_f96feb3f\_4438\_4e43\_aa44\_7458c4d87fc2}

\textbf{Elucidation:} The frequency standard in the SI system in which
the photon absorption by transitions between the two hyperfine ground
states of caesium-133 atoms are used to control the output frequency.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{frequency}{Frequency}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{planckconstant}{%
\subsection{PlanckConstant}\label{planckconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_76cc4efc_231e_42b4_be83_2547681caed6}{http://emmo.info/emmo/middle/siunits\#EMMO\_76cc4efc\_231e\_42b4\_be83\_2547681caed6}

\textbf{Elucidation:} The quantum of action.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/planck_constant}{http://dbpedia.org/page/Planck\_constant}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.p04685}{https://doi.org/10.1351/goldbook.P04685}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_plankconstant}{http://physics.nist.gov/cuu/CODATA-Value\_PlankConstant}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpertimedimension}{MassSquareLengthPerTimeDimension}
\item
  disjoint\_with
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{speedoflightinvacuum}{%
\subsection{SpeedOfLightInVacuum}\label{speedoflightinvacuum}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_99296e55_53f7_4333_9e06_760ad175a1b9}{http://emmo.info/emmo/middle/siunits\#EMMO\_99296e55\_53f7\_4333\_9e06\_760ad175a1b9}

\textbf{Elucidation:} The speed of light in vacuum.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/speed_of_light}{http://dbpedia.org/page/Speed\_of\_light}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.s05854}{https://doi.org/10.1351/goldbook.S05854}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_speedoflightinvacuum}{http://physics.nist.gov/cuu/CODATA-Value\_SpeedOfLightInVacuum}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{lengthpertimedimension}{LengthPerTimeDimension}
\item
  disjoint\_with
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{avogadroconstant}{%
\subsection{AvogadroConstant}\label{avogadroconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_176cae33_b83e_4cd2_a6bc_281f42f0ccc8}{http://emmo.info/emmo/middle/siunits\#EMMO\_176cae33\_b83e\_4cd2\_a6bc\_281f42f0ccc8}

\textbf{Elucidation:} The number of constituent particles, usually atoms
or molecules, that are contained in the amount of substance given by one
mole.

\textbf{Comment:} The DBpedia definition
(http://dbpedia.org/page/Avogadro\_constant) is outdated as May 20,
2019. It is now an exact quantity.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/avogadro_constant}{http://dbpedia.org/page/Avogadro\_constant}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.a00543}{https://doi.org/10.1351/goldbook.A00543}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_avogadroconstant}{http://physics.nist.gov/cuu/CODATA-Value\_AvogadroConstant}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{peramountdimension}{PerAmountDimension}
\item
  disjoint\_with
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{measuredconstant}{%
\subsection{MeasuredConstant}\label{measuredconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_3f15d200_c97b_42c8_8ac0_d81d150361e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_3f15d200\_c97b\_42c8\_8ac0\_d81d150361e2}

\textbf{Elucidation:} For a given unit system, measured constants are
physical constants that are not used to define the unit system. Hence,
these constants have to be measured and will therefore be associated
with an uncertainty.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalconstant}{PhysicalConstant}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{exactconstant}{ExactConstant}
\end{itemize}

\hypertarget{elementarycharge-2}{%
\subsection{ElementaryCharge}\label{elementarycharge-2}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_58a650f0_a638_4743_8439_535a325e5c4c}{http://emmo.info/emmo/middle/siunits\#EMMO\_58a650f0\_a638\_4743\_8439\_535a325e5c4c}

\textbf{Elucidation:} The magnitude of the electric charge carried by a
single electron.

\textbf{Comment:} The DBpedia definition
(http://dbpedia.org/page/Elementary\_charge) is outdated as May 20,
2019. It is now an exact quantity.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/elementary_charge}{http://dbpedia.org/page/Elementary\_charge}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.e02032}{https://doi.org/10.1351/goldbook.E02032}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_elementarycharge}{http://physics.nist.gov/cuu/CODATA-Value\_ElementaryCharge}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{electriccharge}{ElectricCharge}
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  disjoint\_with \protect\hyperlink{basequantity}{BaseQuantity},
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{physicalconstant}{%
\subsection{PhysicalConstant}\label{physicalconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_b953f2b1_c8d1_4dd9_b630_d3ef6580c2bb}{http://emmo.info/emmo/middle/metrology\#EMMO\_b953f2b1\_c8d1\_4dd9\_b630\_d3ef6580c2bb}

\textbf{Comment:} Physical constants are categorised into ``exact'' and
measured constants.

With ``exact'' constants, we refer to physical constants that have an
exact numerical value after the revision of the SI system that was
enforsed May 2019.

\textbf{Wikipediaentry:}
\href{https://en.wikipedia.org/wiki/list_of_physical_constants}{https://en.wikipedia.org/wiki/List\_of\_physical\_constants}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{exactconstant}{ExactConstant}
\end{itemize}

\hypertarget{luminousefficacy}{%
\subsection{LuminousEfficacy}\label{luminousefficacy}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_506f7823_52bc_40cb_be07_b3b1e10cce13}{http://emmo.info/emmo/middle/siunits\#EMMO\_506f7823\_52bc\_40cb\_be07\_b3b1e10cce13}

\textbf{Elucidation:} The luminous efficacy of monochromatic radiation
of frequency 540 × 10 12 Hz, K cd , is a technical constant that gives
an exact numerical relationship between the purely physical
characteristics of the radiant power stimulating the human eye (W) and
its photobiological response defined by the luminous flux due to the
spectral responsivity of a standard observer (lm) at a frequency of 540
× 10 12 hertz.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{luminousintensitycubictimepermasslengthdimension}{LuminousIntensityCubicTimePerMassLengthDimension}
\item
  disjoint\_with
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{siexactconstant}{%
\subsection{SIExactConstant}\label{siexactconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_f2ca6dd0_0e5f_4392_a92d_cafdae6cfc95}{http://emmo.info/emmo/middle/siunits\#EMMO\_f2ca6dd0\_0e5f\_4392\_a92d\_cafdae6cfc95}

\textbf{Elucidation:} Physical constant that by definition (after the
latest revision of the SI system that was enforsed May 2019) has a known
exact numerical value when expressed in SI units.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{exactconstant}{ExactConstant}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{boltzmannconstant}{BoltzmannConstant}
\end{itemize}

\hypertarget{exactconstant}{%
\subsection{ExactConstant}\label{exactconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/metrology\#emmo_89762966_8076_4f7c_b745_f718d653e8e2}{http://emmo.info/emmo/middle/metrology\#EMMO\_89762966\_8076\_4f7c\_b745\_f718d653e8e2}

\textbf{Comment:} Physical constant used to define a unit system. Hence,
when expressed in that unit system they have an exact value with no
associated uncertainty.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalconstant}{PhysicalConstant}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{boltzmannconstant}{%
\subsection{BoltzmannConstant}\label{boltzmannconstant}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_ffc7735f_c177_46a4_98e9_a54440d29209}{http://emmo.info/emmo/middle/siunits\#EMMO\_ffc7735f\_c177\_46a4\_98e9\_a54440d29209}

\textbf{Elucidation:} A physical constant relating energy at the
individual particle level with temperature. It is the gas constant R
divided by the Avogadro constant.

\textbf{Comment:} The DBpedia definition
(http://dbpedia.org/page/Boltzmann\_constant) is outdated as May 20,
2019. It is now an exact quantity.

\textbf{Dbpediamatch:}
\href{http://dbpedia.org/page/boltzmann_constant}{http://dbpedia.org/page/Boltzmann\_constant}

\textbf{Iupacdoi:}
\href{https://doi.org/10.1351/goldbook.b00695}{https://doi.org/10.1351/goldbook.B00695}

\textbf{Qudtmatch:}
\href{http://physics.nist.gov/cuu/codata-value_boltzmannconstant}{http://physics.nist.gov/cuu/CODATA-Value\_BoltzmannConstant}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{siexactconstant}{SIExactConstant}
\item
  \protect\hyperlink{hasreferenceunit}{hasReferenceUnit} only
  \protect\hyperlink{hasphysicsdimension}{hasPhysicsDimension} only
  \protect\hyperlink{masssquarelengthpertemperaturesquaretimedimension}{MassSquareLengthPerTemperatureSquareTimeDimension}
\item
  disjoint\_with
  \protect\hyperlink{hyperfinetransitionfrequencyofcs}{HyperfineTransitionFrequencyOfCs},
  \protect\hyperlink{planckconstant}{PlanckConstant},
  \protect\hyperlink{speedoflightinvacuum}{SpeedOfLightInVacuum},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ordinalquantity}{OrdinalQuantity},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{measuredconstant}{MeasuredConstant},
  \protect\hyperlink{elementarycharge}{ElementaryCharge},
  \protect\hyperlink{avogadroconstant}{AvogadroConstant},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{siprefixedunit}{SIPrefixedUnit},
  \protect\hyperlink{luminousefficacy}{LuminousEfficacy}
\end{itemize}

\hypertarget{reductionistic-branch}{%
\section{Reductionistic branch}\label{reductionistic-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/ReductionisticT.pdf}
\caption{Reductionistic branch.}
\end{figure}

\hypertarget{reductionistic}{%
\subsection{Reductionistic}\label{reductionistic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_15db234d_ecaf_4715_9838_4b4ec424fb13}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_15db234d\_ecaf\_4715\_9838\_4b4ec424fb13}

\textbf{Elucidation:} A class devoted to categorize `Physical'-s
according to their granularity relations, first in terms of time
evolution (Existent) and then in terms of their composition (State), up
to the spatial a-tomistic element (Elementary).

Direct parthood is the relation used to build the class hierarchy (and
the granularity hierarchy).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perspective}{Perspective}
\item
  equivalent\_to \protect\hyperlink{state}{State} or
  \protect\hyperlink{existent}{Existent}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{symboliccomposition-1}{%
\subsection{SymbolicComposition}\label{symboliccomposition-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_89a0c87c_0804_4013_937a_6fe234d9499c}{http://emmo.info/emmo/middle/perceptual\#EMMO\_89a0c87c\_0804\_4013\_937a\_6fe234d9499c}

\textbf{Elucidation:} A symbolic entity made of other symbolic entities
according to a specific spatial configuration.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{symbolic}{Symbolic}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{existent}{%
\subsection{Existent}\label{existent}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_52211e5e_d767_4812_845e_eb6b402c476a}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_52211e5e\_d767\_4812\_845e\_eb6b402c476a}

\textbf{Elucidation:} A `Physical' which is a tessellation of `State'
temporal direct parts.

\textbf{Comment:} `Existent' is the EMMO class to be used for
representing real world physical objects under a reductionistic
perspective (i.e.~objects come from the composition of sub-part objects,
both in time and space).

`Existent' class collects all individuals that stand for physical
objects that can be structured in well defined temporal sub-parts called
states, through the temporal direct parthood relation.

This class provides a first granularity hierarchy in time, and a way to
axiomatize tessellation principles for a specific whole with a
non-transitivity relation (direct parthood) that helps to retain the
granularity levels.

e.g.~a car, a supersaturated gas with nucleating nanoparticles, an atom
that becomes ionized and then recombines with an electron.

\textbf{Comment:} An `Existent' individual stands for a real world
object for which the ontologist can provide univocal tessellation in
time.

By definition, the tiles are represented by `State'-s individual.

Tiles are related to the `Existent' through temporal direct parthood,
enforcing non-transitivity and inverse-functionality.

\textbf{Comment:} Being hasTemporalDirectPart a proper parthood
relation, there cannot be `Existent' made of a single `State'.

Moreover, due to inverse functionality, a `State' can be part of only
one `Existent', preventing overlapping between `Existent'-s.

\textbf{Comment:} ex-sistere (latin): to stay (to persist through time)
outside others of the same type (to be distinct from the rest).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{reductionistic}{Reductionistic}
\item
  \protect\hyperlink{hastemporaldirectpart}{hasTemporalDirectPart} some
  \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hastemporaldirectpart}{hasTemporalDirectPart} only
  \protect\hyperlink{state}{State}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{string-1}{%
\subsection{String}\label{string-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/perceptual\#emmo_50ea1ec5_f157_41b0_b46b_a9032f17ca10}{http://emmo.info/emmo/middle/perceptual\#EMMO\_50ea1ec5\_f157\_41b0\_b46b\_a9032f17ca10}

\textbf{Elucidation:} A physical made of more than one symbol
sequentially arranged.

\textbf{Example:} The word ``cat'' considered as a collection of
`symbol'-s respecting the rules of english language.

In this example the `symbolic' entity ``cat'' is not related to the real
cat, but it is only a word (like it would be to an italian person that
ignores the meaning of this english word).

If an `interpreter' skilled in english language is involved in a
`semiotic' process with this word, that ``cat'' became also a `sign'
i.e.~it became for the `interpreter' a representation for a real cat.

\textbf{Comment:} A string is made of concatenated symbols whose
arrangement is one-dimensional. Each symbol can have only one previous
and one next neighborhood (bidirectional list).

\textbf{Comment:} A string is not requested to respect any syntactic
rule: it's simply directly made of symbols.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbolic}{Symbolic}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{symbol}{Symbol}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} only
  \protect\hyperlink{symbol}{Symbol}
\item
  disjoint\_with \protect\hyperlink{materialrelation}{MaterialRelation},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsequation}{PhysicsEquation},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{state}{%
\subsection{State}\label{state}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/reductionistic\#emmo_36c79456_e29c_400d_8bd3_0eedddb82652}{http://emmo.info/emmo/middle/reductionistic\#EMMO\_36c79456\_e29c\_400d\_8bd3\_0eedddb82652}

\textbf{Elucidation:} A `Physical' which is a tessellation of spatial
direct parts.

\textbf{Example:} e.g.~the existent in my glass is declared at t =
t\_start as made of two direct parts: the ice and the water. It will
continue to exists as state as long as the ice is completely melt at t =
t\_end. The new state will be completely made of water. Between t\_start
and t\_end there is an exchange of molecules between the ice and the
water, but this does not affect the existence of the two states.

If we partition the existent in my glass as ice surrounded by several
molecules (we do not use the object water as direct part) then the
appearance of a molecule coming from the ice will cause a state to end
and another state to begin.

\textbf{Comment:} Direct partitions declaration is a choice of the
ontologist that choses the classes to be used as direct parts, according
to its own world view.

A `State' can always be direct partitioned in `Elementary'-s and `Void'
or `Physical'.

e.g.~the water in my glass can be seen as a single object without
declaring direct parts, or as made of H2O molecules direct parts.

\textbf{Comment:} The definition of `State' implies that its spatial
direct parts (i.e. `physicals') are not gained or lost during its
temporal extension (they exist from the left to the right side of the
time interval), so that the cardinality of spatial direct parts in a
`State' is constant.

This does not mean that there cannot be a change in the internal
structure of the `State' direct parts. It means only that this change
must not affect the existence of the direct part itself.

There is no change in granularity or cardinality of direct parts of a
`State'.

The use of spatial direct parthood in `State' definition means that a
`State' cannot overlap in space another `State'.

\textbf{Comment:} The usefulness of `State' is that it makes it possible
to describe the evolution in time of an `Existent' in terms of series of
`State'-s that can take into account the disappearance or appearance of
parts within a `Physical'.

A `State' is a recognizable granularity level of matter, in the sense
that its direct parts do not appear or disappear within its lifetime as
it can be for a generic `Existent'.

\textbf{Comment:} There is no change in granularity or cardinality of
parts within a state.

The use of spatial direct parthood in state definition means that a
state cannot overlap in space another state that is direct part of the
same whole.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{reductionistic}{Reductionistic}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{physical}{Physical}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{expression-branch}{%
\section{Expression branch}\label{expression-branch}}

\begin{figure}
\centering
\includegraphics[width=5.39583in,height=\textheight]{genfigs/ExpressionT.pdf}
\caption{Expression branch.}
\end{figure}

\hypertarget{expression}{%
\subsection{Expression}\label{expression}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_f9bc8b52_85e9_4b53_b969_dd7724d5b8e4}{http://emmo.info/emmo/middle/math\#EMMO\_f9bc8b52\_85e9\_4b53\_b969\_dd7724d5b8e4}

\textbf{Elucidation:} A well-formed finite combination of mathematical
symbols according to some specific rules.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{symboliccomposition}{SymbolicComposition}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{algebricexpression}{%
\subsection{AlgebricExpression}\label{algebricexpression}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_1aed91a3_d00c_48af_8f43_a0c958b2512a}{http://emmo.info/emmo/top/math\#EMMO\_1aed91a3\_d00c\_48af\_8f43\_a0c958b2512a}

\textbf{Example:} 2x+3

\textbf{Comment:} An expression that has parts only integer constants,
variables, and the algebraic operations (addition, subtraction,
multiplication, division and exponentiation by an exponent that is a
rational number)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{expression}{Expression}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{arithmeticexpression}{%
\subsection{ArithmeticExpression}\label{arithmeticexpression}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_89083bab_f69c_4d06_bf6d_62973b56cdc7}{http://emmo.info/emmo/middle/math\#EMMO\_89083bab\_f69c\_4d06\_bf6d\_62973b56cdc7}

\textbf{Example:} 2+2

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{algebricexpression}{AlgebricExpression}
\item
  is\_a not
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{variable}{Variable}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{polynomial}{%
\subsection{Polynomial}\label{polynomial}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_91447ec0_fb55_49f2_85a5_3172dff6482c}{http://emmo.info/emmo/top/math\#EMMO\_91447ec0\_fb55\_49f2\_85a5\_3172dff6482c}

\textbf{Example:} 2 * x\^{}2 + x + 3

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{algebricexpression}{AlgebricExpression}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{formula-branch}{%
\section{Formula branch}\label{formula-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/FormulaT.pdf}
\caption{Formula branch.}
\end{figure}

\hypertarget{algebricequation}{%
\subsection{AlgebricEquation}\label{algebricequation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_98d65021_4574_4890_b2fb_46430841077f}{http://emmo.info/emmo/top/math\#EMMO\_98d65021\_4574\_4890\_b2fb\_46430841077f}

\textbf{Example:} 2 * a - b = c

\textbf{Comment:} An `equation' that has parts two `polynomial'-s

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{algebricexpression}{AlgebricExpression}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{arithmeticequation}{%
\subsection{ArithmeticEquation}\label{arithmeticequation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_a6138ba7_e365_4f2d_b6b4_fe5a5918d403}{http://emmo.info/emmo/top/math\#EMMO\_a6138ba7\_e365\_4f2d\_b6b4\_fe5a5918d403}

\textbf{Example:} 1 + 1 = 2

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{definingequation}{%
\subsection{DefiningEquation}\label{definingequation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_29afdf54_90ae_4c98_8845_fa9ea3f143a8}{http://emmo.info/emmo/top/math\#EMMO\_29afdf54\_90ae\_4c98\_8845\_fa9ea3f143a8}

\textbf{Elucidation:} An equation that define a new variable in terms of
other mathematical entities.

\textbf{Example:} The definition of velocity as v = dx/dt.

The definition of density as mass/volume.

y = f(x)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{equation}{%
\subsection{Equation}\label{equation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_e56ee3eb_7609_4ae1_8bed_51974f0960a6}{http://emmo.info/emmo/middle/math\#EMMO\_e56ee3eb\_7609\_4ae1\_8bed\_51974f0960a6}

\textbf{Elucidation:} The class of `mathematical'-s that stand for a
statement of equality between two mathematical expressions.

\textbf{Example:} 2+3 = 5 x\^{}2 +3x = 5x dv/dt = a sin(x) = y

\textbf{Comment:} An equation with variables can always be represented
as:

f(v0, v1, \ldots{}, vn) = g(v0, v1, \ldots{}, vn)

where f is the left hand and g the right hand side expressions and v0,
v1, \ldots{}, vn are the variables.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{formula}{Formula}
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{expression}{Expression}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{functiondefinition}{%
\subsection{FunctionDefinition}\label{functiondefinition}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/math\#emmo_4bc29b0f_8fcc_4026_a291_f9774a66d9b8}{http://emmo.info/emmo/top/math\#EMMO\_4bc29b0f\_8fcc\_4026\_a291\_f9774a66d9b8}

\textbf{Elucidation:} A function defined using functional notation.

\textbf{Example:} y = f(x)

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{definingequation}{DefiningEquation}
\item
  disjoint\_with \protect\hyperlink{symbol}{Symbol},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{formula}{%
\subsection{Formula}\label{formula}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_88470739_03d3_4c47_a03e_b30a1288d50c}{http://emmo.info/emmo/middle/math\#EMMO\_88470739\_03d3\_4c47\_a03e\_b30a1288d50c}

\textbf{Elucidation:} A mathematica string that can be evaluated as true
or false.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{mathematical}{Mathematical}
\item
  is\_a \protect\hyperlink{symboliccomposition}{SymbolicComposition}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{physicsequation-1}{%
\subsection{PhysicsEquation}\label{physicsequation-1}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_27c5d8c6_8af7_4d63_beb1_ec37cd8b3fa3}{http://emmo.info/emmo/middle/models\#EMMO\_27c5d8c6\_8af7\_4d63\_beb1\_ec37cd8b3fa3}

\textbf{Elucidation:} An `equation' that stands for a `physical\_law' by
mathematically defining the relations between physics\_quantities.

\textbf{Comment:} The Newton's equation of motion.

The Schrodinger equation.

The Navier-Stokes equation.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  is\_a \protect\hyperlink{mathematicalmodel}{MathematicalModel}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  Inverse(\protect\hyperlink{hasmodel}{hasModel}) some
  \protect\hyperlink{physicalphenomenon}{PhysicalPhenomenon}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{string}{String}
\end{itemize}

\hypertarget{inequality}{%
\subsection{Inequality}\label{inequality}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/math\#emmo_0b6ebe5a_0026_4bef_a1c1_5be00df9f98e}{http://emmo.info/emmo/middle/math\#EMMO\_0b6ebe5a\_0026\_4bef\_a1c1\_5be00df9f98e}

\textbf{Elucidation:} A relation which makes a non-equal comparison
between two numbers or other mathematical expressions.

\textbf{Example:} f(x) \textgreater{} 0

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{formula}{Formula}
\item
  disjoint\_with \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{materialrelation}{%
\subsection{MaterialRelation}\label{materialrelation}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/models\#emmo_e5438930_04e7_4d42_ade5_3700d4a52ab7}{http://emmo.info/emmo/middle/models\#EMMO\_e5438930\_04e7\_4d42\_ade5\_3700d4a52ab7}

\textbf{Elucidation:} An `equation' that stands for a physical
assumption specific to a material, and provides an expression for a
`physics\_quantity' (the dependent variable) as function of other
variables, physics\_quantity or data (independent variables).

\textbf{Example:} The Lennard-Jones potential.

A force field.

An Hamiltonian.

\textbf{Comment:} A material\_relation can e.g.~return a predefined
number, return a database query, be an equation that depends on other
physics\_quantities.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{equation}{Equation}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{physicalquantity}{PhysicalQuantity}
\item
  disjoint\_with \protect\hyperlink{prefixedunit}{PrefixedUnit},
  \protect\hyperlink{symbol}{Symbol}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{string}{String}
\end{itemize}

\hypertarget{physicalistic-branch}{%
\section{Physicalistic branch}\label{physicalistic-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/PhysicalisticT.pdf}
\caption{Physicalistic branch.}
\end{figure}

\hypertarget{material}{%
\subsection{Material}\label{material}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_4207e895_8b83_4318_996a_72cfb32acd94}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_4207e895\_8b83\_4318\_996a\_72cfb32acd94}

\textbf{Elucidation:} A `Physical' that stands for a real world object
that represents an amount of a physical substance (or mixture of
substances) that constitute (is part of) a more comprehensive real world
object.

\textbf{Comment:} The definition states that a `Material' is a portion
of a real world object, being that a full functional device or
component, or a sample made of that material (or the sample itself).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{matter}{Matter}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{vacuum}{%
\subsection{Vacuum}\label{vacuum}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_3c218fbe_60c9_4597_8bcf_41eb1773af1f}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_3c218fbe\_60c9\_4597\_8bcf\_41eb1773af1f}

\textbf{Elucidation:} A `Physical' with no `Massive' parts.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{field}{Field}
\item
  equivalent\_to \protect\hyperlink{field}{Field} and not
  \protect\hyperlink{matter}{Matter}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{matter}{Matter},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{field}{%
\subsection{Field}\label{field}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_70dac51e_bddd_48c2_8a98_7d8395e91fc2}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_70dac51e\_bddd\_48c2\_8a98\_7d8395e91fc2}

\textbf{Elucidation:} A `Physical' with `Massless' parts that are
mediators of interactions.

\textbf{Comment:} The concepts of matter and field for classical
physics, upon which we can categorize physical entities, are replaced in
quantum physics by the more general concepts of quantum field.

Here the class `Field' refers to the quantum field of massless bosonic
particles (i.e.~photons, gluons), while the class `Matter' refers to the
quantum field of massive fermionic or bosonic particles (e.g.~quarks,
electrons).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalistic}{Physicalistic}
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  \protect\hyperlink{haspart}{hasPart} some
  \protect\hyperlink{massless}{Massless}
\item
  \protect\hyperlink{hastemporalpart}{hasTemporalPart} only
  \protect\hyperlink{field}{Field}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{physicalistic}{%
\subsection{Physicalistic}\label{physicalistic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_98ada9d8_f1c8_4f13_99b5_d890f5354152}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_98ada9d8\_f1c8\_4f13\_99b5\_d890f5354152}

\textbf{Elucidation:} The perspective for which physical objects are
categorized only by concepts coming from physics.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{perspective}{Perspective}
\item
  equivalent\_to \protect\hyperlink{matter}{Matter} or
  \protect\hyperlink{field}{Field}
\item
  disjoint\_with \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{matter}{%
\subsection{Matter}\label{matter}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_5b2222df_4da6_442f_8244_96e9e45887d1}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_5b2222df\_4da6\_442f\_8244\_96e9e45887d1}

\textbf{Elucidation:} A `Physical' that possesses some `Massive' parts.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalistic}{Physicalistic}
\item
  is\_a \protect\hyperlink{physical}{Physical}
\item
  \protect\hyperlink{haspart}{hasPart} some
  \protect\hyperlink{massive}{Massive}
\item
  \protect\hyperlink{hastemporalpart}{hasTemporalPart} only
  \protect\hyperlink{matter}{Matter}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection}
\end{itemize}

\hypertarget{elementary-particle-branch}{%
\section{Elementary Particle branch}\label{elementary-particle-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/ElementaryParticleT.pdf}
\caption{Elementary Particle branch.}
\end{figure}

\hypertarget{gluon}{%
\subsection{Gluon}\label{gluon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_7db59e56_f68b_48b7_ae99_891c35ae5c3b}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_7db59e56\_f68b\_48b7\_ae99\_891c35ae5c3b}

\textbf{Elucidation:} The class of individuals that stand for gluons
elementary particles.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{massless}{Massless}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{massive}{Massive},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{photon}{Photon},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{graviton}{Graviton}
\end{itemize}

\hypertarget{quark}{%
\subsection{Quark}\label{quark}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_72d53756_7fb1_46ed_980f_83f47efbe105}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_72d53756\_7fb1\_46ed\_980f\_83f47efbe105}

\textbf{Elucidation:} The class of individuals that stand for quarks
elementary particles.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{massive}{Massive}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{massless}{Massless},
  \protect\hyperlink{electron}{Electron}
\end{itemize}

\hypertarget{massive}{%
\subsection{Massive}\label{massive}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_385b8f6e_43ac_4596_ad76_ac322c68b7ca}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_385b8f6e\_43ac\_4596\_ad76\_ac322c68b7ca}

\textbf{Elucidation:} The union of classes of elementary particles that
possess mass.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{elementaryparticle}{ElementaryParticle}
\item
  equivalent\_to \protect\hyperlink{quark}{Quark} or
  \protect\hyperlink{electron}{Electron}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{massless}{Massless}
\end{itemize}

\hypertarget{photon}{%
\subsection{Photon}\label{photon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_25f8b804_9a0b_4387_a3e7_b35bce5365ee}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_25f8b804\_9a0b\_4387\_a3e7\_b35bce5365ee}

\textbf{Comment:} The class of individuals that stand for photons
elementary particles.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{massless}{Massless}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{gluon}{Gluon},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{massive}{Massive},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{graviton}{Graviton}
\end{itemize}

\hypertarget{massless}{%
\subsection{Massless}\label{massless}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_e5488299_8dab_4ebb_900a_26d2abed8396}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_e5488299\_8dab\_4ebb\_900a\_26d2abed8396}

\textbf{Elucidation:} The union of classes of elementary particles that
do not possess mass.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{elementaryparticle}{ElementaryParticle}
\item
  equivalent\_to \protect\hyperlink{photon}{Photon} or
  \protect\hyperlink{gluon}{Gluon} or
  \protect\hyperlink{graviton}{Graviton}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void}, \protect\hyperlink{massive}{Massive},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System}
\end{itemize}

\hypertarget{graviton}{%
\subsection{Graviton}\label{graviton}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_eb3c61f0_3983_4346_a0c6_e7f6b90a67a8}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_eb3c61f0\_3983\_4346\_a0c6\_e7f6b90a67a8}

\textbf{Elucidation:} The class of individuals that stand for gravitons
elementary particles.

\textbf{Comment:} While this particle is only supposed to exist, the
EMMO approach to classical and quantum systems represents fields as made
of particles.

For this reason graviton is an useful concept to homogenize the approach
between different fields.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{massless}{Massless}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{gluon}{Gluon}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{massive}{Massive},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{photon}{Photon}, \protect\hyperlink{system}{System}
\end{itemize}

\hypertarget{elementaryparticle}{%
\subsection{ElementaryParticle}\label{elementaryparticle}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_c26a0340_d619_4928_b1a1_1a04e88bb89d}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_c26a0340\_d619\_4928\_b1a1\_1a04e88bb89d}

\textbf{Elucidation:} The union of all classes categorizing elementary
particles according to the Standard Model.

\textbf{Comment:} Only a subset of elementary particles from the
Standard Model are here included for the sake of simplicity.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physicalistic}{Physicalistic}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System}
\item
  disjoint\_union\_of \protect\hyperlink{photon}{Photon},
  \protect\hyperlink{quark}{Quark}, \protect\hyperlink{gluon}{Gluon},
  \protect\hyperlink{electron}{Electron},
  \protect\hyperlink{graviton}{Graviton}
\end{itemize}

\hypertarget{electron}{%
\subsection{Electron}\label{electron}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/physicalistic\#emmo_8043d3c6_a4c1_4089_ba34_9744e28e5b3d}{http://emmo.info/emmo/middle/physicalistic\#EMMO\_8043d3c6\_a4c1\_4089\_ba34\_9744e28e5b3d}

\textbf{Elucidation:} The class of individuals that stand for electrons
elemntary particles.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{massive}{Massive}
\item
  is\_a \protect\hyperlink{elementary}{Elementary}
\item
  disjoint\_with \protect\hyperlink{reductionistic}{Reductionistic},
  \protect\hyperlink{interpreter}{Interpreter},
  \protect\hyperlink{quark}{Quark}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{physicsbasedmodel}{PhysicsBasedModel},
  \protect\hyperlink{system}{System},
  \protect\hyperlink{massless}{Massless}
\end{itemize}

\hypertarget{material-state-branch}{%
\section{Material State branch}\label{material-state-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/MaterialStateT.pdf}
\caption{Material State branch.}
\end{figure}

\hypertarget{molecule}{%
\subsection{Molecule}\label{molecule}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_3397f270_dfc1_4500_8f6f_4d0d85ac5f71}{http://emmo.info/emmo/middle/materials\#EMMO\_3397f270\_dfc1\_4500\_8f6f\_4d0d85ac5f71}

\textbf{Elucidation:} An atom\_based state defined by an exact number of
e-bonded atomic species and an electron cloud made of the shared
electrons.

\textbf{Example:} H20, C6H12O6, CH4

\textbf{Comment:} An entity is called essential if removing one direct
part will lead to a change in entity class.

An entity is called redundand if removing one direct part will not lead
to a change in entity class.

\textbf{Comment:} This definition states that this object is a
non-periodic set of atoms or a set with a finite periodicity.

Removing an atom from the state will result in another type of
atom\_based state.

e.g.~you cannot remove H from H20 without changing the molecule type
(essential). However, you can remove a C from a nanotube (redundant).
C60 fullerene is a molecule, since it has a finite periodicity and is
made of a well defined number of atoms (essential). A C nanotube is not
a molecule, since it has an infinite periodicity (redundant).

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{materialstate}{MaterialState}
\item
  is\_a \protect\hyperlink{material}{Material}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{solid}{%
\subsection{Solid}\label{solid}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_a2b006f2_bbfd_4dba_bcaa_3fca20cd6be1}{http://emmo.info/emmo/middle/materials\#EMMO\_a2b006f2\_bbfd\_4dba\_bcaa\_3fca20cd6be1}

\textbf{Elucidation:} A continuum characterized by structural rigidity
and resistance to changes of shape or volume, that retains its shape and
density when not confined.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{continuum}{Continuum}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{materialstate}{%
\subsection{MaterialState}\label{materialstate}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_20fff605_465f_4034_8696_e53e90ec83f4}{http://emmo.info/emmo/middle/materials\#EMMO\_20fff605\_465f\_4034\_8696\_e53e90ec83f4}

\textbf{Elucidation:} A union of the four base classes for the
classification of materials according to the DG-RTD Review of Materials
Modelling.

\textbf{Seealso:}
\url{https://op.europa.eu/en/publication-detail/-/publication/e0845ae1-1b60-11e7-aeb3-01aa75ed71a1}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{material}{Material}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  equivalent\_to \protect\hyperlink{material}{Material} and
  \protect\hyperlink{state}{State}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{ionatom}{%
\subsection{IonAtom}\label{ionatom}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_db03061b_db31_4132_a47a_6a634846578b}{http://emmo.info/emmo/middle/materials\#EMMO\_db03061b\_db31\_4132\_a47a\_6a634846578b}

\textbf{Elucidation:} A standalone atom with an unbalanced number of
electrons with respect to its atomic number.

\textbf{Comment:} The ion\_atom is the basic part of a pure ionic bonded
compound i.e.~without eclectron sharing,

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{standaloneatom}{StandaloneAtom}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{neutralatom}{NeutralAtom},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{fluid}{%
\subsection{Fluid}\label{fluid}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_87ac88ff_8379_4f5a_8c7b_424a8fff1ee8}{http://emmo.info/emmo/middle/materials\#EMMO\_87ac88ff\_8379\_4f5a\_8c7b\_424a8fff1ee8}

\textbf{Elucidation:} A continuum that has no fixed shape and yields
easily to external pressure.

\textbf{Example:} Gas, liquid, plasma,

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{continuum}{Continuum}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{neutralatom}{%
\subsection{NeutralAtom}\label{neutralatom}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_4588526f_8553_4f4d_aa73_a483e88d599b}{http://emmo.info/emmo/middle/materials\#EMMO\_4588526f\_8553\_4f4d\_aa73\_a483e88d599b}

\textbf{Elucidation:} A standalone atom that has no net charge.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{standaloneatom}{StandaloneAtom}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{ionatom}{IonAtom},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{continuum}{%
\subsection{Continuum}\label{continuum}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_8b0923ab_b500_477b_9ce9_8b3a3e4dc4f2}{http://emmo.info/emmo/middle/materials\#EMMO\_8b0923ab\_b500\_477b\_9ce9\_8b3a3e4dc4f2}

\textbf{Elucidation:} A state that is a collection of sufficiently large
number of other parts such that: - it is the bearer of qualities that
can exists only by the fact that it is a sum of parts - the smallest
partition dV of the state volume in which we are interested in, contains
enough parts to be statistically consistent: n {[}\#/m3{]} x dV {[}m3{]}
\textgreater{}\textgreater{} 1

\textbf{Comment:} A continuum is made of a sufficient number of parts
that it continues to exists as continuum individual even after the loss
of one of them i.e.~a continuum is a redundant.

\textbf{Comment:} A continuum is not necessarily small (i.e.~composed by
the minimum amount of sates to fulfill the definition).

A single continuum individual can be the whole fluid in a pipe.

\textbf{Comment:} A continuum is the bearer of properties that are
generated by the interactions of parts such as viscosity and thermal or
electrical conductivity.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{materialstate}{MaterialState}
\item
  is\_a \protect\hyperlink{material}{Material}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{standaloneatom}{%
\subsection{StandaloneAtom}\label{standaloneatom}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_2fd3f574_5e93_47fe_afca_ed80b0a21ab4}{http://emmo.info/emmo/middle/materials\#EMMO\_2fd3f574\_5e93\_47fe\_afca\_ed80b0a21ab4}

\textbf{Elucidation:} An atom that does not share electrons with other
atoms.

\textbf{Comment:} A standalone atom can be bonded with other atoms by
intermolecular forces (i.e.~dipole--dipole, London dispersion force,
hydrogen bonding), since this bonds does not involve electron sharing.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{atom}{Atom}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of \protect\hyperlink{neutralatom}{NeutralAtom},
  \protect\hyperlink{ionatom}{IonAtom}
\end{itemize}

\hypertarget{bondedatom}{%
\subsection{BondedAtom}\label{bondedatom}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_8303a247_f9d9_4616_bdcd_f5cbd7b298e3}{http://emmo.info/emmo/middle/materials\#EMMO\_8303a247\_f9d9\_4616\_bdcd\_f5cbd7b298e3}

\textbf{Elucidation:} An bonded atom that shares at least one electron
to the atom-based entity of which is part of.

\textbf{Comment:} A real bond between atoms is always something hybrid
between covalent, metallic and ionic.

In general, metallic and ionic bonds have atoms sharing electrons.

\textbf{Comment:} The bond types that are covered by this definition are
the strong electonic bonds: covalent, metallic and ionic.

\textbf{Comment:} This class can be used to represent molecules as
simplified quantum systems, in which outer molecule shared electrons are
un-entangled with the inner shells of the atoms composing the molecule.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{atom}{Atom}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{atom}{%
\subsection{Atom}\label{atom}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_eb77076b_a104_42ac_a065_798b2d2809ad}{http://emmo.info/emmo/middle/materials\#EMMO\_eb77076b\_a104\_42ac\_a065\_798b2d2809ad}

\textbf{Elucidation:} A standalone atom has direct part one `nucleus'
and one `electron\_cloud'.

An O `atom' within an O2 `molecule' is an `e-bonded\_atom'.

In this material branch, H atom is a particular case, with respect to
higher atomic number atoms, since as soon as it shares its electron it
has no nucleus entangled electron cloud.

We cannot say that H2 molecule has direct part two H atoms, but has
direct part two H nucleus.

\textbf{Comment:} An `atom' is a `nucleus' surrounded by an
`electron\_cloud', i.e.~a quantum system made of one or more bounded
electrons.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{materialstate}{MaterialState}
\item
  is\_a \protect\hyperlink{material}{Material}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{electroncloud}{ElectronCloud}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{nucleus}{Nucleus}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{subatomic-branch}{%
\section{Subatomic branch}\label{subatomic-branch}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/SubatomicT.pdf}
\caption{Subatomic branch.}
\end{figure}

\hypertarget{electroncloud}{%
\subsection{ElectronCloud}\label{electroncloud}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_1067b97a_84f8_4d22_8ace_b842b8ce355c}{http://emmo.info/emmo/middle/materials\#EMMO\_1067b97a\_84f8\_4d22\_8ace\_b842b8ce355c}

\textbf{Elucidation:} A `spacetime' that stands for a quantum system
made of electrons.

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{subatomic}{Subatomic}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{electron}{Electron}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{proton}{%
\subsection{Proton}\label{proton}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_8f87e700_99a8_4427_8ffb_e493de05c217}{http://emmo.info/emmo/middle/materials\#EMMO\_8f87e700\_99a8\_4427\_8ffb\_e493de05c217}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{nucleon}{Nucleon}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum},
  \protect\hyperlink{neutron}{Neutron}
\end{itemize}

\hypertarget{nucleus}{%
\subsection{Nucleus}\label{nucleus}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_f835f4d4_c665_403d_ab25_dca5cc74be52}{http://emmo.info/emmo/middle/materials\#EMMO\_f835f4d4\_c665\_403d\_ab25\_dca5cc74be52}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{subatomic}{Subatomic}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{nucleon}{Nucleon}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{subatomic}{%
\subsection{Subatomic}\label{subatomic}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_7d66bde4_b68d_41cc_b5fc_6fd98c5e2ff0}{http://emmo.info/emmo/middle/materials\#EMMO\_7d66bde4\_b68d\_41cc\_b5fc\_6fd98c5e2ff0}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{materialstate}{MaterialState}
\item
  is\_a \protect\hyperlink{material}{Material}
\item
  is\_a \protect\hyperlink{state}{State}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{nucleon}{%
\subsection{Nucleon}\label{nucleon}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_50781fd9_a9e4_46ad_b7be_4500371d188d}{http://emmo.info/emmo/middle/materials\#EMMO\_50781fd9\_a9e4\_46ad\_b7be\_4500371d188d}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{subatomic}{Subatomic}
\item
  \protect\hyperlink{hasspatialdirectpart}{hasSpatialDirectPart} some
  \protect\hyperlink{quark}{Quark}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\item
  disjoint\_union\_of \protect\hyperlink{proton}{Proton},
  \protect\hyperlink{neutron}{Neutron}
\end{itemize}

\hypertarget{neutron}{%
\subsection{Neutron}\label{neutron}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/materials\#emmo_df808271_df91_4f27_ba59_fa423c51896c}{http://emmo.info/emmo/middle/materials\#EMMO\_df808271\_df91\_4f27\_ba59\_fa423c51896c}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{nucleon}{Nucleon}
\item
  disjoint\_with \protect\hyperlink{vacuum}{Vacuum},
  \protect\hyperlink{proton}{Proton}, \protect\hyperlink{void}{Void},
  \protect\hyperlink{elementary}{Elementary},
  \protect\hyperlink{collection}{Collection},
  \protect\hyperlink{quantum}{Quantum}
\end{itemize}

\hypertarget{individuals-1}{%
\chapter{Individuals}\label{individuals-1}}

\hypertarget{universe}{%
\subsection{Universe}\label{universe}}

\textbf{IRI:}
\href{http://emmo.info/emmo/top/mereotopology\#emmo_08cb807c_e626_447b_863f_e2835540e918}{http://emmo.info/emmo/top/mereotopology\#EMMO\_08cb807c\_e626\_447b\_863f\_e2835540e918}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{physical}{Physical}
\end{itemize}

\hypertarget{a}{%
\subsection{a}\label{a}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_361c25b3_3c0d_4066_b622_72dcc71ab5cf}{http://emmo.info/emmo/middle/siunits\#EMMO\_361c25b3\_3c0d\_4066\_b622\_72dcc71ab5cf}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\end{itemize}

\hypertarget{b}{%
\subsection{b}\label{b}}

\textbf{IRI:}
\href{http://emmo.info/emmo/middle/siunits\#emmo_05083b9c_c9d1_4202_b22d_5249067772ac}{http://emmo.info/emmo/middle/siunits\#EMMO\_05083b9c\_c9d1\_4202\_b22d\_5249067772ac}

\textbf{Relations:}

\begin{itemize}
\tightlist
\item
  is\_a \protect\hyperlink{symbol}{Symbol}
\end{itemize}

\hypertarget{appendix}{%
\chapter{Appendix}\label{appendix}}

\hypertarget{the-complete-taxonomy-of-emmo-relations}{%
\section{The complete taxonomy of EMMO
relations}\label{the-complete-taxonomy-of-emmo-relations}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/EMMORelation.pdf}
\caption{The complete taxonomy of EMMO relations.}
\end{figure}

\hypertarget{the-complete-taxonomy-of-emmo-classes}{%
\section{The complete taxonomy of EMMO
classes}\label{the-complete-taxonomy-of-emmo-classes}}

\begin{figure}
\centering
\includegraphics[width=6.95833in,height=\textheight]{genfigs/EMMO.pdf}
\caption{The complete taxonomy of EMMO classes.}
\end{figure}

\end{document}

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