Open Source Mathematica Software

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

The Arduino routines (.ino) control light-on timing under various entrainment schemes and measures general movements using PIR and the light level using CdS in three animal chambers. Requires Arduino 1.0 and Arduino hardwares (Uno or Mega). 1. _3ChambersEPLPDD.ino: 12-12 LD to long photoperiod 2. _3ChambersTCycle.ino: 12-12 LD to T=23/T=25 cycles (Note: A critical error has been found in _3ChambersTCycle.ino. It will not be available until the error is fixed. 14-SEP-2012)

Keywords: -simultaneously fit several SAXS and SANS data sets with polydisperse (Schultz-Zimm or Gaussian distribution f(R)) spherical core-shell-shell nanoparticles -analytical expressions are used for from factor F(Q) and its integral over f(R), no numerical integration required -absolute units -Mathematica is required via console (MathKernel) -Mathematica's local and global optimizers (simulated annealing, differential evolution, Nelder-Mead, ...) can be used -range for fit parameters and further constraints between fit parameters are possible -Monodisperse(!) hard sphere structure factor can be used, too -long computation times (depending on problem size and amount of constraints) from hours to a few days are possible -non-parallelized code

Repository moving to https://github.com/cmendl/fermifab ! A quantum physics toolbox for small fermionic systems. Keywords: quantum mechanics, reduced density matrices, Slater determinants, second quantization, creation and annihilation operators

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.