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Top 19 computer-algebra Open-Source Projects
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That's interesting. You should consider yourself lucky to have met Wolfram employees, as they are obviously vastly outnumbered by users of Mathematica.
I have not met any developers for either of these products but I know that SymPy has a huge list of contributors for a project of its size. See: https://github.com/sympy/sympy/blob/master/AUTHORS
You may not be hearing about SymPy users because SymPy is not a monolithic product. It is a library. If you know mathematicians big into using Python, they are probably aware of SymPy as it is the main attraction when it comes to symbolic computation in Python.
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Project mention: The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica | news.ycombinator.com | 2024-01-12
There's Mathics, a subset of the language implemented in Python, but unfortunately after the main author of that was hired by Wolfram, the project seems to have basically died. Still fun for what it is.
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ModelingToolkit.jl
An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
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SymEngine will do this: https://github.com/symengine/symengine
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AngouriMath
New open-source cross-platform symbolic algebra library for C# and F#. Can be used for both production and research purposes.
Project mention: Is there a c# library available that will evaluate arithmetic string such "5+3+max(3)" in runtime say from a file and provide output | /r/csharp | 2023-04-08it's also might be helpful AngouriMath
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gap
Main development repository for GAP - Groups, Algorithms, Programming, a System for Computational Discrete Algebra (by gap-system)
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The modern identity platform for B2B SaaS. The APIs are flexible and easy-to-use, supporting authentication, user identity, and complex enterprise features like SSO and SCIM provisioning.
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Project mention: Ask HN: Any interactive math tutorials that use a computational algebra system? | news.ycombinator.com | 2024-03-05
I'm a senior level programmer who recently became interested in furthering my math education.
I also just became aware of computational algebra systems like emmy: https://github.com/mentat-collective/emmy
My question is: is there an interactive math curriculum/textbook/etc that uses such a system to teach the math? I would find that a lot more engaging than learning math the old way!
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spacetimeengine
A Python utility for analyzing a given solution to the Einstein's field equations. Built on Sympy.
A decade ago when I was interested in General Relativity I wanted to write a simple program to handle symbolic calculations for Einstein field equations (Starting with metric and calculated affine connections, ricci tensor …etc.). Sympy was an option (better because python was the only language I know well) but I found it hard and actually couldn't make it work. I used mathematica which was new for me but did it in a couple of hours. I expanded it later and used it to calculate a lot of things in a black hole paper I published later.
I checked now, and it seems that on this front a lot of development in sympy made it possible that we know how very good libraries built on top of it [1] [2]. There is even now a Jupyter notebook example on schwarzschild metric [3].
[1] https://docs.einsteinpy.org
[2]https://github.com/spacetimeengineer/spacetimeengine
[3] https://github.com/sympy/sympy/blob/master/examples/intermed...
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computer-algebra related posts
- Ask HN: Any interactive math tutorials that use a computational algebra system?
- SymPy: Symbolic Mathematics in Python
- The Emmy Computer Algebra System
- Pure Programming Language
- Matrix Cookbook examples using SymPy
- The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica
- Emmy A powerful computer algebra system written in Clojure(Script)
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Index
What are some of the best open-source computer-algebra projects? This list will help you:
Project | Stars | |
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1 | SymPy | 12,008 |
2 | Mathics | 2,075 |
3 | ModelingToolkit.jl | 1,321 |
4 | symengine | 1,079 |
5 | AngouriMath | 749 |
6 | gap | 745 |
7 | kotlingrad | 507 |
8 | Grassmann.jl | 445 |
9 | expreduce | 373 |
10 | emmy | 347 |
11 | fricas | 282 |
12 | cadabra2 | 212 |
13 | Hecke.jl | 199 |
14 | SymEngine.jl | 188 |
15 | symengine.py | 153 |
16 | spacetimeengine | 143 |
17 | symbolic | 143 |
18 | piranha | 101 |
19 | polynomial-algebra | 1 |