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Binomial 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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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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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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Modular toolkit for data processing

Modular toolkit for Data Processing (MDP) is a Python data processing framework. Implemented algorithms include: Principal Component Analysis (PCA), Independent Component Analysis (ICA), Slow Feature Analysis (SFA), Growing Neural Gas (GNG), Factor Analysis, Fisher Discriminant Analysis (FDA), and Gaussian Classifiers. From the user's perspective, MDP consists of a collection of trainable ...
Python
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Natural Language Toolkit

NLTK, the Natural Language Toolkit, is a suite of program modules, data sets and tutorials supporting research and teaching in computational linguistics and natural language processing. NLTK is ideally suited to students who are learning NLP (natural language processing) or conducting research in NLP or closely related areas, including empirical linguistics, ...
Python
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