This software includes software developed by third parties:

- NumPy  
  - Official site: https://numpy.org/  
  - GitHub: https://github.com/numpy/numpy  
  License: BSD 3-Clause License

- SciPy  
  - Official site: https://scipy.org/  
  - GitHub: https://github.com/scipy/scipy  
  License: BSD 3-Clause License

- SymPy  
  - Official site: https://sympy.org/  
  - GitHub: https://github.com/sympy/sympy  
  License: BSD 3-Clause License

- JAX and JAXlib  
  - Official docs: https://docs.jax.dev/en/latest/index.html  
  - GitHub: https://github.com/google/jax  
  License: Apache License 2.0

- Matplotlib  
  - Official site: https://matplotlib.org/  
  - GitHub: https://github.com/matplotlib/matplotlib  
  License: PSF-based / BSD-compatible License

Each dependency is subject to its own license terms, which can typically be found in the installed package directory under LICENSE or COPYING files.

JAX and JAXlib are licensed under the Apache License, Version 2.0, which requires this NOTICE be included in distributions:

    Licensed under the Apache License, Version 2.0 (the "License");
    you may not use this file except in compliance with the License.
    You may obtain a copy of the License at

        http://www.apache.org/licenses/LICENSE-2.0

    Unless required by applicable law or agreed to in writing, software
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
    limitations under the License.
