Open Source Mathematics Software - Page 4
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FriCAS is an advanced computer algebra system. Its capabilities range from calculus (integration and differentiation) to abstract algebra. It can plot functions and has integrated help system.
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Hecke.jl
Computational algebraic number theory
Hecke is a software package for algebraic number theory maintained by Claus Fieker, Tommy Hofmann and Carlo Sircana. It is written in julia and is based on the computer algebra packages Nemo and AbstractAlgebra. Hecke is part of the OSCAR project and the development is supported by the Deutsche Forschungsgemeinschaft DFG within the Collaborative Research Center TRR 195. -
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JAX
Composable transformations of Python+NumPy programs
With its updated version of Autograd, JAX can automatically differentiate native Python and NumPy functions. It can differentiate through loops, branches, recursion, and closures, and it can take derivatives of derivatives of derivatives. It supports reverse-mode differentiation (a.k.a. backpropagation) via grad as well as forward-mode differentiation, and the two can be composed arbitrarily to any order. What’s new is that JAX uses XLA to compile and run your NumPy programs on GPUs and TPUs. Compilation happens under the hood by default, with library calls getting just-in-time compiled and executed. But JAX also lets you just-in-time compile your own Python functions into XLA-optimized kernels using a one-function API, jit. Compilation and automatic differentiation can be composed arbitrarily, so you can express sophisticated algorithms and get maximal performance without leaving Python. -
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Mathematics
Accumulation of mathematical knowledge, matrix numerical optimization
Mathematics is a comprehensive collection of notes, resources, and references spanning a wide range of mathematical topics. The repository organizes material across pure and applied mathematics, including calculus, linear algebra, probability, statistics, and optimization. It also extends into computational and algorithmic applications of mathematics, making it a useful reference for both academic study and practical problem-solving. The goal is to provide learners, researchers, and developers with a consolidated source of foundational and advanced mathematical concepts. By gathering a diverse set of topics into one repository, it supports continuous learning and interdisciplinary exploration. Its open source nature allows for community contributions and adaptation to different educational or research needs. -
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OpenCalc
A simple and beautiful calculator for Android
A simple and beautiful calculator for Android. -
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OpenGL Mathematics
Highly Optimized Graphics Math (glm) for C
Highly optimized 2D|3D math library, also known as OpenGL Mathematics (glm) for `C`. cglm provides lot of utils to help math operations to be fast and quick to write. It is community-friendly, feel free to bring any issues, bugs you faced. Almost all functions (inline versions) and parameters are documented inside the corresponding headers. OpenGL-related functions are dropped to make this lib platform/third-party independent. Make sure you have the latest version and feel free to report bugs, troubles. Euler angles was implemented in reverse order (extrinsic) it was fixed, now they are intrinsic. Make sure that you have the latest version. vec4 and mat4 variables must be aligned. (There will be unaligned versions later). cglm doesn't alloc any memory on heap. So it doesn't provide any allocator. You should alloc memory for out parameters too if you pass pointer of memory location. -
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PyMC
Bayesian Modeling and Probabilistic Programming in Python
PyMC is a Python library for probabilistic programming focused on Bayesian statistical modeling and machine learning. Built on top of computational tools like Aesara and NumPy, PyMC allows users to define models using intuitive syntax and perform inference using MCMC, variational inference, and other advanced algorithms. It’s widely used in scientific research, data science, and decision modeling. -
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The FFT library to "Keep It Simple, Stupid" This is the original home of kissfft. Most recent development is at https://github.com/mborgerding/kissfft Please ask questions on stackoverflow.com
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A free, industrial quality library for simulating articulated rigid body dynamics - for example ground vehicles, legged creatures, and moving objects in VR environments. It's fast, flexible & robust. Built-in collision detection.
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Nice looking calculator using Reverse Polish Notation (RPN) written for Windows. It supports DEC, HEX, BIN, OCT numbers, GRAD, RAD and DEG.
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Calcpad
A free software for mathematical and engineering calculations
Calcpad helps engineers to create clear and traceable calculation notes. It supports real and complex numbers, phasors, units of measurement, custom variables and functions, vectors and matrices, numerical methods, function plotting, conditional execution, iterations, etc. Results are collected into professional looking Html reports for viewing and printing. You can also export them to .docx (MS Word) and .pdf files. You can also create dynamic vector drawings and animations to visualize your data. After installation, you will find a lot of examples for solving different mathematical, mechanical and structural/civil engineering problems in your documents folder. If you like Calcpad, you can donate ♥ the project on GitHub and help for its development: https://github.com/sponsors/Proektsof -
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OpenPFGW is software that is designed to perform PRP and primality tests on numbers of specific forms. This software currently run on any x86 hardware with the support of George Woltman's gwnum library, the same library behind GIMPS and Prime95.
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Sparse is a direct method solver for the large sparse matrices that are associated with electrical circuit simulation. It uses LU factorization and handles both real and complex square matrices.It is intended to solve many matrices with the same structure
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NCO netCDF Operators
Command-line operators for netCDF and HDF files
The netCDF Operators, or NCO, are a suite of file operators which facilitate manipulation and analysis of self-describing data stored in the (freely available) netCDF and HDF formats. Volunteers welcome! See homepage for details and download links. -
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This material enables IBM SPSS Statistics users to run code written in the R language inside Statistics. Additional free items for R in Statistics and other materials are available from the SPSS Community at www.ibm.com/developerworks/spssdevcentral
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A HP41CV simulator for the Android platform. This version is the second beta release and includes nearly all functionality of the HP41CV including running programmes. Programmes can be imported / exported on csv format. A simple programme editor incl
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The PDL module gives standard perl the ability to COMPACTLY store and SPEEDILY manipulate the large N-dimensional data sets that are the bread and butter of scientific computing.
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PhEq_bootstrap
FDA's f2 computation with bootstrap technique
This program was developed as a help in establishing pharmaceutical equivalence by use of FDA f2 coefficient. It was designed to help with f2 computation in cases when intra- and inter-batch variability is large, namely RSD>10%. The use of statistical bootstrap technique allows to implement confidence interval (CI) into the f2 coefficients resulting in overcoming of their major drawback in the original metrics. The algorithm provides possible “worst case scenario” of f2 values, thus supporting claim about pharmaceutical equivalence. The target users are researchers from industry and academia dealing with pharmaceutical equivalence problem. The software is Open Source. It was developed in Lazarus environment, therefore source code is available in ObjectPascal. -
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Calculator-Scripts
Just a few scripts for pocket calculators.
Just a few applications for various pocket calculators. -
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XonGrid
Excel interpolation add-in
XonGrid is a free Excel library of functions to perform 1D, 2D, 3D, 4D and arbitrary dimension (ND) interpolations from scattered data. -
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GUSEK provide an open source LP/MILP IDE for Win32, packing a custom version of the SciTE editor linked to the GLPK standalone solver.
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ASCEND is a modelling environment and solver for large or small systems of non-linear equations, for use in engineering, thermodynamics, chemistry, physics, mathematics and biology. Solvers for both steady and dynamic (NLA & DAE) problems, are provid
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OpenFVM is a general open source three-dimensional Computational Fluid Dynamics (CFD) solver (for Linux and Windows). It uses the unstructured finite volume method to simulate non-isothermal transient flow. Gmsh is used for pre- and post- processing.
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Geomview
an interactive 3D viewing program
Geomview is an interactive 3D viewing program for Unix. Geomview lets you view and manipulate three- and higher-dimensional objects, and can also be used as a display engine by other programs to animate objects. Geomview supports OpenGL and uses a Motif X interface.
