polynomial-algebra
fricas
| polynomial-algebra | fricas | |
|---|---|---|
| 2 | 8 | |
| 1 | 286 | |
| - | 0.7% | |
| 0.0 | 9.3 | |
| about 2 years ago | 7 days ago | |
| Haskell | Clojure | |
| BSD 3-clause "New" or "Revised" License | BSD 3-clause "New" or "Revised" License |
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polynomial-algebra
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Is Haskell a good language for CAS/numerical analysis?
Here is link number 3 - Previous text "3"
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.
What are some alternatives?
mathlib - Lean 3's obsolete mathematical components library: please use mathlib4
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!
symmetric-polynomials - Symmetric polynomials in Haskell
axiom - Axiom is a free, open source computer algebra system
Axiom - An FFmpeg GUI for Windows
Symbolics.jl - Symbolic programming for the next generation of numerical software
cadabra2 - A field-theory motivated approach to computer algebra.
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.
polycalc - 🧮 Polynomial Calculator
form - The FORM project for symbolic manipulation of very big expressions