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Add some research using GAlgebra
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utensil authored Nov 19, 2024
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Here is a list of projects that use GAlgebra, divided into two parts:

1. functional: used as a dependency in their major functionality
2. explorational: used as an optional dependency in their examples, exercises, or tutorials
1. research: used to facilitate or verify research
2. functional: used as a dependency in their major functionality
3. explorational: used as an optional dependency in their examples, exercises, or tutorials

They are roughly ordered by relevance, stars and last updated time.

This data is manually mined from [forks](https://github.com/pygae/galgebra/forks) and [dependents](https://github.com/pygae/galgebra/network/dependents), as ["Used by" button is not shown](https://docs.github.com/en/code-security/supply-chain-security/understanding-your-software-supply-chain/exploring-the-dependencies-of-a-repository#changing-the-used-by-package). All usages are manually reviewed to rule out false positives (e.g. the dependency maybe added, but is not actually used), some usages are manually added to our knowledge.

## Research

(in recent years, non-exhaustive)

- [Geometric Product of Two Oriented Points in Conformal Geometric Algebra (2024)](https://link.springer.com/article/10.1007/s00006-024-01363-6)
- two anonymous expert reviewers, who either used the python symbolic geometric algebra implementation GAlgebra or the Clifford python library to independently verify the results of this paper
- [Machine Learning Clifford invariants of ADE Coxeter elements (2024)](https://arxiv.org/abs/2310.00041)
- uses GAlgebra for ADE invariant generation [code](https://github.com/DimaDroid/ML_Clifford_Invariants/blob/main/InvariantData/ADE8_InvariantGeneration.py)
- [Clifford spinors and root system induction: H4 and the Grand Antiprism (2021)](https://arxiv.org/abs/2103.07817)
- perform practical computations in group theory via versors in Clifford algebra framework
- LaTeX output of GAlgebra is used in paper [code](https://github.com/ppd22/galgebra-in-action)

## Functional

- Prof. Alan Macdonald's books: [Linear and Geometric Algebra](http://www.faculty.luther.edu/~macdonal/laga/index.html) and [Vector and Geometric Calculus](http://www.faculty.luther.edu/~macdonal/vagc/index.html)
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