Projects

SYMDIFF

Symbolic differentation of algebraic expressions with Python and Tcl interfaces.

theano

Theano is a Python library that allows you to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently. Theano features: * tight integration with numpy – Use numpy.ndarray in Theano-compiled functions. * transparent use of a GPU – Perform ... [More] data-intensive calculations up to 140x faster than with CPU.(float32 only) * efficient symbolic differentiation – Theano does your derivatives for function with one or many inputs. * speed and stability optimizations – Get the right answer for log(1+x) even when x is really tiny. * dynamic C code generation – Evaluate expressions faster. * extensive unit-testing and self-verification – Detect and diagnose many types of mistake. github repository: http://github.com/Theano/Theano [Less]

symbide

Symbide - A Python Notebook applicationLook at Symbides website at http://symbide.googlecode.com/svn/trunk/website/html/home.html

mate-j2me

A MIDP2-based mobile Computer Algebra System. MATE is designed to help engineers with routine math tasks. It's too an easy and inexpensive way to have a graphing calculator in your pocket.

symja

Symja is a pure Java library for symbolic mathematics. It's based on the MathEclipse project. >>> Try AJAX version on Google App Engine! <<< >>> Try it via Java Web Start! <<< FeaturesUsageLicense Featuresarbitrary precision integers, rationals and ... [More] complex numbers polynomials differentiation pattern matching linear algebra UsageExamples in the console application: org.matheclipse.core.eval.Console [options] Program arguments: -h or -help print this message -f or -file use given file as input script -d or -default use given textfile for system rules To stop the program type: exit To continue an input line type '\' at the end of the line. ****+****+****+****+****+****+****+****+****+****+****+****+ >>> a+a+4*b^2+3*b^2 In [1]: a+a+4*b^2+3*b^2 Out[1]: 2*a+7*b^2 >>> FactorInteger[2^15-5] In [2]: FactorInteger[2^15-5] Out[2]: {{3,1},{67,1},{163,1}} >>> D[Sin[x^3],x] In [3]: D[Sin[x^3],x] Out[3]: 3*Cos[x^3]*x^2 >>> Factor[-1+x^16] In [4]: Factor[-1+x^16] Out[4]: (-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8) >>> Factor[5+x^12,Modulus->7] In [5]: Factor[5+x^12,Modulus->7] Out[5]: (2+x^3)*(4+x^6)*(5+x^3) >>> Expand[(-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8)] In [6]: Expand[(-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8)] Out[6]: -1+x^16 >>> Inverse[{{1,2},{3,4}}] In [7]: Inverse[{{1,2},{3,4}}] Out[7]: {{-2,1}, {3/2,-1/2}} >>> Det[{{1,2},{3,4}}] In [8]: Det[{{1,2},{3,4}}] Out[8]: -2 >>> Roots[4+x^2+2*x+3*x^3] In [9]: Roots[4+x^2+2*x+3*x^3] Out[9]: {-1,1/6*(I*44^(1/2)+2),1/6*(-I*44^(1/2)+2)} >>> Apart[(x)/(x^2-1)] In [10]: Apart[(x)/(x^2-1)] Out[10]: 1/2*(x+1)^(-1)+1/2*(x-1)^(-1) >>> $x=10 In [11]: $x=10 Out[11]: 10 >>> $x+$x In [12]: $x+$x Out[12]: 20 >>> Integrate[(10 x^2 - 63 x + 29)/(x^3 - 11 x^2 + 40 x -48),x] In [13]: Integrate[(10 x^2 - 63 x + 29)/(x^3 - 11 x^2 + 40 x -48),x] Out[13]: 63*(x-4)^(-1)-70*Log[x-3]+80*Log[x-4] >>> See the JUnit test cases for more syntax examples. Licensethe complete system is published under the LESSER GNU GENERAL PUBLIC LICENSE Some parts are published under more liberal licenses: the parser (and simple numeric evaluators) are published under the APACHE LICENSE Version 2.0. [Less]

reduce

An Open Source version of the REDUCE algebra system

Math Eclipse Plugin

Java Computer Algebra System. Features: math expression parser and evaluating API (jsr223), generic nested lists (i.e trees) API, pattern matching. Moved to http://code.google.com/p/symja/

franklinmath

Franklin Math is now available!Franklin Math is an open source symbolic computer algebra system (CAS), with similarities to commercial math packages such as MATLAB or Mathematica. It handles some symbolic algebra and manipulation, as well as numeric calculations. The built-in functions cover ... [More] several fields of mathematics, and allow for function plotting. I have tested the installer on Windows XP without any issues. On Linux, you may have to be logged in as a root/administrator to have shortcuts created properly. On a Mac, the installer (generated with IzPack) does not support shortcut creation yet, so you will have to make your own (be sure to set the working directory to Franklin Math's install path). [Less]

sympycore

News26 Mar, 2009 - Pearu slides in SIAM Conference on Computational Science and Engineering 27 Aug, 2008 - Pearu slides in EuroScipy 2008 7 Apr, 2008 - Review conversation methods: ReviewConversionMethods3 5 Apr, 2008 - Introduced new algebras: Set, FunctionRing, Differential 3 Apr, 2008 - Review ... [More] function support: FunctionSupportIdeas 1 Apr, 2008 - Implemented And, Or, Not. Improved boolean expression support. 15 Mar, 2008 - Reviewing matrix support: MatrixSupportIdeas 10 Mar, 2008 - Introduced SymbolicEquality context where __eq__ and __ne__ methods would return Logic instance. 6 Mar, 2008 - Added pickling support to Expr. 5 Mar, 2008 - All algebra classes are derived from Expr class holding a pair. 2 Mar, 2008 - Implemented extension type Pair giving 1.5-2x speed up. 29 Feb, 2008 - SympyCore version 0.1 released Older news SympyCoreThe aim of the SympyCore project is to seek out new high Performance solutions to represent and manipulate symbolic expressions in the Python programming language, and to try out new symbolic models to achive fundamentally consistent and sufficiently general symbolic model that would be easy to extend to a Computer Algebra System (CAS). See SympyCore Demo and SympyCore User's Guide for examples. Various performance improvements are reported in Performance History and SympyCore Benchmark sites. Sympycore is inspired by many attempts to implement CAS for Python and it is created to fix SymPy performance and robustness issues. Sympycore does not yet have nearly as many features as SymPy. Our goal is to work on in direction of merging the efforts with the SymPy project in the future. Question: What is the main difference between SympyCore and SymPy projects? Answer: SympyCore is a research project while SymPy is a software project. UsageSympycore package is avaliable for download as a gzipped tar archive and as a Windows binary installer. To install sympycore from an archive, unpack the tar file and run the following command inside sympycore- directory: python setup.py installThe development code is available in the SVN repository. Non-members can check out sympycore using the command (see Source for more information): svn checkout http://sympycore.googlecode.com/svn/trunk/ sympycore-svnUse python setup.py install to install sympycore or add the location of checked out sympycore to PYTHONPATH to make it available for python import. Note that starting from version 0.2, sympycore implements some features in C for speed. However, parallel to that, pure python versions of these features are provided in case one cannot build the provided extension modules. To build the extension modules inside sympycore source tree, use one of the following commands: python setup.py build_ext --inplace python setup.py build_ext --inplace --compiler=mingw32 # when using MinGW compiler on windowsImport sympycore with >>> from sympycore import * >>> a,b=map(Symbol,'ab') >>> (a+b)**3 Calculus('(a + b)**3') >>> ((a+b)**3).diff(a) Calculus('3*(a + b)**2') >>> ((a+b)**3).diff(a).expand() Calculus('3*a**2 + 3*b**2 + 6*a*b')See Documentation page for SympyCore User's Guide as well as other documentation bits. To run sympycore tests without installing it, execute: python setup.py [ build_ext --inplace [--compiler=mingw32] ] test [--coverage | --nose-args='...']in sympycore source directoryl. To test installed sympycore, run >>> from sympycore import * >>> test(nose_args='...')Feedback and bug reportsYou can report bugs at the Sympycore Issue Tracker. Any feedback can also be sent to SympyCore mailing list. [Less]