Search Results for "mathematical"
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Showing 135 open source projects for "mathematical"
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Machine Learning Octave
MatLab/Octave examples of popular machine learning algorithms
This repository contains MATLAB / Octave implementations of popular machine learning algorithms, along with explanatory code and mathematical derivations, intended as educational material rather than production code. Implementations of supervised learning algorithms (linear regression, logistic regression, neural nets). The author’s goal is to help users understand how each algorithm works “from scratch,” avoiding black-box library calls. Code written so as to expose and comment on mathematical steps. ... -
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mathjs
An extensive math library for JavaScript and Node.js
mathjs is a comprehensive mathematics library for JavaScript and Node.js that provides advanced numerical, symbolic, and matrix computation capabilities through a flexible expression-based interface. The library supports a wide range of mathematical operations including algebra, statistics, complex numbers, fractions, units, matrices, and symbolic manipulation while maintaining compatibility across browsers and server environments. One of its defining features is its expression parser, which allows users to evaluate and manipulate mathematical expressions written in a natural math-like syntax. mathjs is highly modular, enabling developers to include only the functionality they need for optimized application size and performance. ... -
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Manim
A community-maintained Python framework for creating animations
A community-maintained Python library for creating mathematical animations. Manim is a free and open-source project originally written by Grant Sanderson. It is now maintained by the Manim Community and permissively released under the MIT license. Manim was originally created by Grant Sanderson as a personal project and for use in his YouTube channel, 3Blue1Brown. As his channel gained popularity, many grew to like the style of his animations and wanted to use manim for their own projects. ... -
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Jupyter Notebook
Jupyter Interactive Notebook
The notebook extends the console-based approach to interactive computing in a qualitatively new direction, providing a web-based application suitable for capturing the whole computation process: developing, documenting, and executing code, as well as communicating the results. The Jupyter notebook combines two components. A web application, which is a browser-based tool for interactive authoring of documents which combine explanatory text, mathematics, computations and their rich media... -
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mXparser
Math Parser: Java, C#, C++, Kotlin, Android, and all .NET platforms
...Flexible in user-defined arguments, and functions. Expressions are provided as plain text. Easy to use. Well documented. MathParser.org-mXparser is an open-source mathematical expression parser and evaluator for Java and .NET, supporting complex calculations and custom functions. -
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Measurements.jl
Error propagation calculator and library for physical measurements
...It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration. Physical measures are typically reported with an error, a quantification of the uncertainty of the accuracy of the measurement. Whenever you perform mathematical operations involving these quantities you have also to propagate the uncertainty, so that the resulting number will also have an attached error to quantify the confidence about its accuracy. Measurements.jl relieves you from the hassle of propagating uncertainties coming from physical measurements, when performing mathematical operations involving them. ... -
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MathPHP
Powerful modern math library for PHP
Math PHP is a library that brings advanced mathematical functions and data analysis capabilities to PHP applications. It covers a wide range of topics, including linear algebra, calculus, statistics, probability, and numerical analysis. Math PHP is designed for developers and data scientists who require precise and efficient mathematical computations in PHP, making it suitable for scientific computing and data processing. -
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PyTensor
Python library for defining and optimizing mathematical expressions
PyTensor is a fork of Aesara, a Python library for defining, optimizing, and efficiently evaluating mathematical expressions involving multi-dimensional arrays. PyTensor is based on Theano, which has been powering large-scale computationally intensive scientific investigations since 2007. A hackable, pure-Python codebase. Extensible graph framework is suitable for rapid development of custom operators and symbolic optimizations. Implements an extensible graph transpilation framework that currently provides compilation via C, JAX, and Numba. ... -
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SIMD
C++ wrappers for SIMD intrinsics
...The library supports a wide range of instruction sets, including SSE, AVX, NEON, and WebAssembly SIMD, ensuring portability across platforms. It provides vectorized implementations of common mathematical operations, allowing developers to operate on batches of values using familiar syntax. xsimd is widely adopted in performance-critical applications. -
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stdlib
Standard library for JavaScript and Node.js
A standard library for javascript and node.js. High performance, rigorous, and robust mathematical and statistical functions. Build advanced statistical models and machine learning libraries. Plotting and graphics functionality for data visualization and exploratory data analysis. Analyze and understand your data. Comprehensively tested utilities for application and library development. Functions to assert, group, filter, map, pluck, and transform your data both in browsers and on the server. ... -
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PHP2Go
Use Golang to implement PHP's common built-in functions
Use Golang to implement PHP's common built-in functions. About 140+ functions have been implemented. -
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JOML
A Java math library for OpenGL rendering calculations
...Unlike other math libraries, JOML avoids object allocation during calculations, making it highly optimized for garbage-free performance. With precise control over mathematical operations and compatibility with low-level APIs, JOML is a go-to library for Java developers working on real-time 3D engines and simulations. -
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AppleAccelerate.jl
Julia interface to the macOS Accelerate framework
...At the moment, this package provides access to Accelerate BLAS and LAPACK using the libblastrampoline framework, an interface to the array-oriented functions, which provide a vectorized form for many common mathematical functions. The performance is significantly better than using standard libm functions in some cases, though there does appear to be some reduced accuracy. -
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Brick\Math
Arbitrary-precision arithmetic library for PHP
Brick Math is a PHP library that provides arbitrary-precision arithmetic for integers, rational numbers, and decimal numbers. It is designed to overcome the limitations of PHP’s native number handling, especially for applications dealing with large numbers, financial calculations, or scientific computations. Brick Math complies with standards like IEEE 754 and avoids rounding errors inherent to floating-point arithmetic. -
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NumCpp
C++ implementation of the Python Numpy library
A Templatized Header Only C++ Implementation of the Python NumPy Library. The main data structure in NumCpp is the NdArray. It is inherently a 2D array class, with 1D arrays being implemented as 1xN arrays. There is also a DataCube class that is provided as a convenience container for storing an array of 2D NdArrays, but it has limited usefulness past a simple container. -
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The Julia Programming Language
High-level, high-performance dynamic language for technical computing
...Having a high level syntax, Julia is easy to use for programmers of every level and background. Julia has more than 2,800 community-registered packages including various mathematical libraries, data manipulation tools, and packages for general purpose computing. Libraries from Python, R, C/Fortran, C++, and Java can also be used. -
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OpenBLAS
Optimized BLAS library based on GotoBLAS2 1.13 BSD version
OpenBLAS is an optimized BLAS library based on GotoBLAS2 1.13 BSD version. The BLAS (Basic Linear Algebra Subprograms) are routines that provide standard building blocks for performing basic vector and matrix operations. The Level 1 BLAS performs scalar, vector and vector-vector operations, the Level 2 BLAS performs matrix-vector operations, and the Level 3 BLAS performs matrix-matrix operations. Because the BLAS are efficient, portable, and widely available, they are commonly used in the... -
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Yampa
Functional Reactive Programming domain-specific language
...Based on the concept of signal functions, Yampa offers a declarative way to model time-varying values and their transformations, making it easier to manage complex time-based logic without resorting to imperative state management. It is grounded in strong mathematical foundations and is well-suited for real-time and interactive systems where temporal behaviors are central. -
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Manifolds.jl
Manifolds.jl provides a library of manifolds
Package Manifolds.jl aims to provide both a unified interface to define and use manifolds as well as a library of manifolds to use for your projects. This package is mostly stable, see #438 for planned upcoming changes. The implemented manifolds are accompanied by their mathematical formulae. The manifolds are implemented using the interface for manifolds given in ManifoldsBase.jl. You can use that interface to implement your own software on manifolds, such that all manifolds based on that interface can be used within your code. -
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The Agda standard library
The Agda standard library
The standard library aims to contain all the tools needed to write both programs and proofs easily. While we always try and write efficient code, we prioritize ease of proof over type-checking and normalization performance. If computational performance is important to you, then perhaps try agda-prelude instead. Agda is a dependently typed programming language. It is an extension of Martin-Löf’s type theory and is the latest in the tradition of languages developed in the programming logic... -
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pytudes
Python programs, usually short, of considerable difficulty
...The repository includes readable solutions, experiments, notebooks, and scripts that cover algorithms, puzzles, probability, search, language processing, simulation, and mathematical reasoning. It is useful for programmers who want to study elegant Python code while learning how experienced developers approach problem solving. Many examples emphasize clarity and compactness rather than framework-heavy engineering. pytudes is best understood as a learning library, a coding style reference, and a set of practical programming studies. -
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Homemade Machine Learning
Python examples of popular machine learning algorithms
homemade-machine-learning is a repository by Oleksii Trekhleb containing Python implementations of classic machine-learning algorithms done “from scratch”, meaning you don’t rely heavily on high-level libraries but instead write the logic yourself to deepen understanding. Each algorithm is accompanied by mathematical explanations, visualizations (often via Jupyter notebooks), and interactive demos so you can tweak parameters, data, and observe outcomes in real time. The purpose is pedagogical: you’ll see linear regression, logistic regression, k-means clustering, neural nets, decision trees, etc., built in Python using fundamentals like NumPy and Matplotlib, not hidden behind API calls. ... -
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Less.js
Less, the dynamic stylesheet language
...Less gives you the ability to use nesting instead of, or in combination with cascading. Arithmetical operations can operate on any number, color or variable. If it is possible, mathematical operations take units into account and convert numbers before adding, subtracting or comparing them. The result has leftmost explicitly stated unit type. If the conversion is impossible or not meaningful, units are ignored. With Less you can transform colors, manipulate strings and do maths. -
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decimal.js
An arbitrary-precision Decimal type for JavaScript
...The library defines a Decimal constructor that accepts numbers, strings, or existing Decimal instances, enabling flexible usage across different input types. It supports a wide range of mathematical operations, including arithmetic, logarithmic, trigonometric, and exponential functions, making it significantly more comprehensive than simpler numeric libraries. -
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latexify
A library to generate LaTeX expression from Python code
latexify_py converts small, math-heavy pieces of Python code into human-readable LaTeX that mirrors the intent of the computation, not just its surface syntax. It parses Python functions and expressions into an abstract syntax tree (AST), applies symbolic rewrites for common mathematical constructs, and then emits LaTeX that compiles cleanly in standard environments. Typical use cases include turning analytical utilities—like probability mass functions, activation formulas, or recurrence relations—into equations suitable for papers, notebooks, and slide decks. The tool aims to preserve semantics such as exponentiation, summations, products, piecewise definitions, and function application while hiding Pythonic scaffolding. ...
