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Matlab Mathematics scripts

Farey Sequence

This function provides farey sequence, F(n), for any integer n.There's probably a more elegant solution out there, but I couldn't find it. Note: it doesn't prepend (0,1) and append (1,1)... ...
Python
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Fractal tree

This script could be used to compute and display a 2D fractal tree. A fractal tree is constructed iteratively by growing new branches, which have a specific length ratio with respect to the parent branch (scaling factor). The fan angle, the number of new branches and number of generations are user controlled. The ...
Python
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FreeMat

... It is similar to commercial systems such as MATLAB from Mathworks, and IDL from Research Systems, but is Open Source.You can perform powerful Perl-style regular expression manipulations  using the regexp command, and its variants. Plotting functions uses an explicit double-buffering technique which eliminates flicker during plot updates.It has functions for reading ...
C/C++
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GNU libmatheval

GNU libmatheval is a library (callable from C and Fortran) to parse and evaluate symbolic expressions input as text. It supports expressions in any number of variables of arbitrary names, decimal and symbolic constants, basic unary and binary operators, and elementary mathematical functions. In addition to parsing and evaluation, libmatheval can ...
C/C++
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GNU Scientific Library

The GNU Scientific Library (GSL) is a numerical library for C and C programmers. It is free software under the GNU General Public License. The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with ...
C/C++
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GPSTk Library

... a Receiver Autonomous Integrity Monitoring algorithm. - Mathematics. Includes Matrix and Vector implementations, as well as interpolation and numerical integration. - Application framework. Includes processing command lines options, providing interactive help and working with file systems. ...
C/C++
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IT Library

... Such a kernel makes IT library similar to Matlab . Features: - templated vector and matrix classes - sparse vector and matrix classes - elementary functions on vectors and matrices - matrix decompositions such as eigenvalue, Cholesky, LU, Schur, SVD, and QR - solving linear system ...
C/C++
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Maxima

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision integers, and arbitrarily precision floating ...
C/C++
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MaximaPHP

MaximaPHP is a Web based PHP interface to communicate to Maxima computer algebra system in the server. It takes user input, send it to Maxima, and show the output back to website. It could send almost any commands including 'plot2d' and 'plot3d' to plot graphs. ...
PHP
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MODEL

MODEL is a numeric simulation library written to simulate systems of rate equations describing Vertical Cavity Surface Emitting Lasers (VCSELs). Features: - deterministic integration of any system of well-behaved differential equations. - stochastic integration of these systems, with the possibility of specifying the correlations present in the noise - ...
C/C++
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