fricas
cadabra2
fricas | cadabra2 | |
---|---|---|
8 | 2 | |
287 | 214 | |
1.0% | - | |
9.3 | 8.1 | |
3 days ago | 3 days ago | |
Clojure | C++ | |
BSD 3-clause "New" or "Revised" License | GNU General Public License v3.0 only |
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fricas
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Integral Calculator
But it's integration functionalities are less advanced and comprehensive than those of Fricas. Interestingly, the latter is, like Maxima, implemented using Lisp and stems from a ancient software lineage. Both systems are free and open-source.
Fricas home page: http://fricas.github.io
Some independent integration benchmarks, comparing multiple computer algebra systems: https://www.12000.org/my_notes/CAS_integration_tests/index.h...
- FriCAS – an advanced computer algebra system
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Strategies for doing symbolic integration algorithmically
Even partial implementations of the Risch algorithm can be pretty daunting but you might look at a couple heuristics that handle the easier bits, like Manel Bronstien's Poor Man's Integrator https://www-sop.inria.fr/cafe/Manuel.Bronstein/pmint/index.html which doesn't need as many algebraic tools, but does need gcd, factor, and solve. I think FriCAS might use this https://github.com/fricas/fricas
- A Mature Library For Symbolic Computation?
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[2021 Day 6] [Fricas] Solution via finding a recurrence and solving it
Fricas home page: https://fricas.github.io
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Is Haskell a good language for CAS/numerical analysis?
I used to use Maxima back in the day, which is embedded in Lisp. With a quick googling I found FriCAS https://github.com/fricas/fricas , which aims to be "world class" AND its libraries are built in a strongly-typed DSL called Spad.
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"FriCAS algebra library, the largest and most advanced free general purpose computer algebra system" (as of September 2007)
BTW this is not a Clojure project. It contains .boot files that look like this and GitHub thinks they're Clojure. Trying to edit the .gitattributes through a PR.
cadabra2
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A basic introduction to NumPy's einsum
If you're into tensor algebra i can only recommend the beautiful piece of Software Cadabra is:
https://cadabra.science/
We wrote an article with it once, 40th order in the Lagrangian, perhaps 50k pages of calculations when all printed. Amazing tool! Thanks Kasper!
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Help with compiling Cadabra2 on Fedora
Before these suggestions come up, let me note that I did submit a bug report about a month ago, which was so far unaddressed by the developer. If I can't get it to work here, I also plan to email the developer directly since he said
What are some alternatives?
axiom - The dynamic infrastructure framework for everybody! Distribute the workload of many different scanning tools with ease, including nmap, ffuf, masscan, nuclei, meg and many more!
array - C++ multidimensional arrays in the spirit of the STL
axiom - Axiom is a free, open source computer algebra system
OpenGL-Particle-Motion - This project simulates the motion of electrons and protons using Coulomb's Law. The simulation is visually represented on-screen using OpenGL.
Axiom - An FFmpeg GUI for Windows
einops - Flexible and powerful tensor operations for readable and reliable code (for pytorch, jax, TF and others)
Symbolics.jl - Symbolic programming for the next generation of numerical software
julia - Simple fractal drawing software
casadi - CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python or Matlab/Octave.
einshape
polycalc - 🧮 Polynomial Calculator
calc - C-style arbitrary precision calculator