Open Source Mathematica Software - Page 2

A university project explaining a phenomenon of a coin tossing game called Penney Ante. Penney Ante is a coin tossing game invented in 1969 by a mathematician called Walter Penney. It is played by two players. Each player selects a pattern of three heads and tails. The two patterns must be different. The players then flip a fair coin repeatedly until one of the patterns appears. The winner is a person whose pattern appears first. Although initially the game appears to be fair, it is not in general. There is no best pattern that beats all others. The best we can do is let our opponent go first and then choose the best possible option that beats his particular pattern. To do so we need to be able to define relations between each two patterns. And this is where the fun begins. To run the project use PenneyAnte.nb Open .nb files using Mathematica. You can also use CDF Player but in this case .nb files will not function interactively. See wiki for a full project description.

PTE-1.5 is for Mathematica 11.1 (not mm14 - needs ver change fixing) PTE-1.4 and prev for Mathematica 4.0 linux PTE generates periodic tables from variable data (the data and layout can be changed for a particular subject). Includes Pauli Exclusion makers and some data. Charts can be browsed with an iPhone nicely (may need .jpg, .gif nicer). It's printable at a small size. Layout change un-restricted but is non-interactive. which is good and bad: it does the job. CreateModule creates a Function from roped lines,: eval lines freely form while working, creates function from that auto. The following now have their own page now and new Mathematica 11 versions: older versions are on download page for historic url reasons. http://sourceforge.net/p/fnbookform2formathematica/ http://sourceforge.net/p/nchineseremainders/ http://sourceforge.net/p/months4mathematica/ also: READMEs, .nb, miscellany in Files

SENSITIZER is an ESO software toolset written in Matlab and Mathematica aiming at automating some Structural/Thermal/Optical Performance (STOP) sensitivity analyses with Zemax OpticStudio (ZOS). The core code of SENSITIZER runs in MATLAB and drives ZOS in the background through the ZOS-API interface, based on .NET. The output is saved in the MATLAB file format and can be post-processed using MATLAB and/or Mathematica routines. The optical system to analyze is defined in a normal Zemax lens file. The core data structure of SENSITIZER is an optical group, which can be any optical surface in the lens file or a set of subsequent surfaces. These groups will be perturbed by varying their positions relative to the rest of the system (rigid-body-motions) and/or by adding Zernike shape deformations on their front surface. After a certain perturbation is applied, ZOS runs (sequential) raytracing to compute the optical performance such as centroid displacement or wavefront error.

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.

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.

This is for Mathematica. 1) list of geocentric <> geodetic <> XYZ related equations* 2) quick plots using them (3d poly globe) 3) wikipedia article summarizing the above 4) one equation is by author of this paper. shows that using (new) geometry observation, Heiskanen and Moritz or Ferrari equations were not necessary as the problem is not inheirently recursive as they suggested. (see article) *gleened from many onlne sources. file geodetic-geodesic is same, improperly named) (for historic reasons files are also in https://sourceforge.net/projects/periodictablemm/)

The h5mma package provides improved support for reading HDF5 files in Mathematica. It is significantly faster, more memory efficient and crash resilient than the built-in HDF5 reading support. h5mma has moved to BitBucket: https://bitbucket.org/simulationtools/h5mma

"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.