Open Source Mathematica Software - Page 2

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.

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.

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.

Beautifully Render* your Graphic3D and Shown or Manipulate right in the Front End (without Export to, ie 3DStudio Art Renderer, et al). For use with Mathematica 4.0 - 13.1. Makes file.ray or .pov that will look much like image in notebook except rendered. Works easily/automatically with many Graphics3D (and some Graphic) as well. However graphics in 13.1 is too big to comment on: many will work many not. Has many options to fix renders that aren't so auto. Now very portable (Apple, Microsoft, Linux) supported (given rayshade or povray binary download or compiled). No OS scripting needed. * raytracing makes more realistic images than GL/CL/Cuda (are best for game, geo/mapping, accelerated) but is slower. POVRay is supported about as well. For a .gif animation see: http://community.wolfram.com/groups/-/m/t/1096001 see also: https://sourceforge.net/p/rayshade http://www.povray.org

Analysis of biochemical networks.