Open Source Mathematica Mathematics Software

Symja - computer algebra language and Java symbolic math library. Moved to https://github.com/axkr/symja_android_library. The Android App can be found at: https://github.com/axkr/symja-example

Version 1.2 is now available! This version is compatible with FeynCalc 9.0 FaRe is a Mathematica package for tensor reduction of Feynman integrals. The integral can be any-rank and any-order. Dimensional reduction is used and the final output is regrouped according to tensor structures. FaRe requires FeynCalc to work. Please refer to http://arxiv.org/abs/1507.03527 for a detailed manual. If you use FaRe in a scientific publication or talk, please give proper academic credit by citing http://inspirehep.net/record/1382623 For any information please write to: m.re-fiorentin AT soton.ac.uk

Matlab, Maple and C/C++ applications of Linear Algebra in many domains, including curves in many dimensions, Cryptography and Chaos etc.

Cliff* Notes, Mathematica Evaluatable "Partial Differential Equations for Scientists and Engineers", Farlow "Physics for Scientists and Engineers", Serway "A First Course in Complex Analysis", Beck "PDE", Asmar "PDE, An Introduction", Colton "Elementary Differential Equations", 7th, Rainville "Ordinary Differential Equations", Tenenbaum "Linear Algebra And It's Applications", Lay "Swokowski Calculus", 5th, Swokowski "Chemistry Concepts & Problems, A Self-Teaching Guide", Houk "Openstax Chemistry" "College Algebra and Trigonometry", 2nd, Kaufman * 2nd order cannonicalization SOLVER, cannonical form automatically * nth order PDE to System of n first order PDE matrices generator with ODE Decouple Solving (pde not yet) * radial probability plot for Hydrogen, pde shrodinger's * Planck blackbody, Rutherford essay * fermi free electron essay * Table of Nucleon positions for all Isotope w/Manipulate * p-p separation nucleus plot using the above

Simulate toll gates queues on Mathematica 7.

Orbits is a Mathematica package to handle Keplerian and perturbed orbits in an easy and flexible way. It has been created to use in an educational environment.

Taylor series Integrator for Differential EquationS. This software is developed by Profs. A. Abad, R. Barrio, F. Blesa and M. Rodriguez, (GME, University of Zaragoza, Spain). It consists on a C (Fortran) library, libTIDES, and a Mathematica package, MathTIDES. (MathTIDES requires Mathematica version >= 7.0) . Basic references: * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2012. Algorithm 924: TIDES, a Taylor series Integrator for Differential EquationS, ACM TOMS. 39, no. 1, art. 5. (Main reference) * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2011. TIDES tutorial: Integrating ODEs by using the Taylor Series Method., Monografías de la Academia de Ciencias de la Universidad de Zaragoza. 36, pp. 1-116. * R. Barrio, 2005. Performance of the Taylor series method for ODEs/DAEs, Appl. Math. Comput. 163 (2), pp. 525--545 * R. Barrio, 2006. Sensitivity analysis of ODE's/DAE's using the Taylor series method, SIAM J. on Scientific Computing 27 (6), pp. 1929--1947

This project consists of two object-oriented implementations of truncated power series (TPSA) for arbitrary order and number of variables. Addition, subtraction, multiplcation, division, and exponentiation are all implemented in the algebra as overloaded operators. They can also compute with maps, a map being an array of TPSA objects representing a mapping of a space into itself. They are implemented as arrays of TPSA objects equal in number to the number of variables of the algebra. One implementation is written in Mathematica and is rather slow. The second is written in VB.net and is much faster.

VectorAlgebra is a Mathematica-package which implements various functions for simple vector calculations in d-dimensional spaces with constant metrics.

WITM, is an acronym for Web Interface To Mathematica. WITM allows a workstation running Mathematica and a web server to be accessed from any browser. Care was taken to ensure WITM works well with handheld devices such as PDAs.

"chinese remainder" solves a system of equations over modulus quickly. crtwo is an improvement to Mathematica's release. crtwo: solves Chinese Remainder a pair at a time, (uses gcd), yet is still fast. Which means crtwo, unlike text book soln, uses an algorithm to solve or fail one mod equation at a time. showing win or fail of each eqn and solving other sawtooth intersections is possible, due to that. crAll2@crtwo provides n soln near x for CR using width of soln crchart3 shows sawtooth CR waves and visible soln align1: solves i m2 == j m2 + b -> {i,j,dist} (like PowerMod->i but b is any and gcd(m1,m2) not req.) other funs: Euclidians, showFactors, changeBaseArr, caesar, rsa, inverseMod, IntToModTups (large number math for PC's) crfindnSolnAfterxInEqm (solve saw wave LL,RL,LR,... intersects) congruence, plots, y-shifted triangular wave solve, testing (for historic reasons files are also in https://sourceforge.net/projects/periodictablemm/)

Maximum packing densities for individual, polydisperse (diameter), ellipitic platelets and stacks of them (max 5 platelets per stack implemented). Size fractionating for stacks (platelets with diameters below a cut-off diameter remain as individual platelets all others assemble in stacks) can be included. Considers only hard interactions and assumes spherical exclusion volumes.