Search Results for "mathematical"
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Showing 313 open source projects for "mathematical"
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Mathematics Dataset
This dataset code generates mathematical question and answer pairs
The Mathematics Dataset, developed by Google DeepMind, is a synthetic dataset designed to evaluate and train machine learning models on mathematical reasoning and symbolic manipulation. It generates question-and-answer pairs across a wide range of mathematical topics typically found in school-level curricula, testing a model’s ability to reason about algebra, arithmetic, calculus, probability, and more. Each question is programmatically generated with structured templates to ensure clear logic and reproducibility. ... -
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MathCode
A Frontier Mathematical Coding Agent
MathCode is a terminal-based AI coding assistant focused on mathematical formalization and theorem proving. It is designed to transform plain-language mathematical reasoning into verified Lean 4 code and formal proofs. The project combines AI agents with Lean Language Server Protocol integration, allowing it to inspect compiler feedback, search for lemmas, and iteratively repair failed proof attempts. -
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SpecialFunctions.jl
Special mathematical functions in Julia
Special mathematical functions in Julia, include Bessel, Hankel, Airy, error, Dawson, exponential (or sine and cosine) integrals, eta, zeta, digamma, inverse digamma, trigamma, and polygamma functions. Most of these functions were formerly part of Base in early versions of Julia. -
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Manim Python
Animation engine for explanatory math videos
Manim is a Python library and animation engine designed for creating precise, programmatic mathematical visuals—famously used by 3Blue1Brown. It enables developers and educators to script animations using code and produce high-quality explanatory math videos. -
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BasicBSpline.jl
Basic (mathematical) operations for B-spline functions
Basic (mathematical) operations for B-spline functions and related things with Julia. -
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JuMP
Modeling language for Mathematical Optimization
JuMP is a modeling language and collection of supporting packages for mathematical optimization in Julia. JuMP makes it easy to formulate and solve a range of problem classes, including linear programs, integer programs, conic programs, semidefinite programs, and constrained nonlinear programs. JuMP is used to solve large-scale inventory routing problems at Renault, schedule trains at Thales Inc., plan power grid expansion at PSR, and route school buses. -
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MCM-ICM
Mathematical Contest resources
MCM-ICM is a curated archive of Outstanding Winner (“O-奖/特等奖”) solution papers from the Mathematical Contest in Modeling and the Interdisciplinary Contest in Modeling, spanning the early 2000s through recent years. The repository is organized by year, with per-year folders that collect the top-ranked reports and, in later years, additional materials such as problem statements or problem notes when available. It has evolved from a single-maintainer project into a collaborative effort, with different contributors stewarding successive year ranges so the collection stays current. ... -
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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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FEATool Multiphysics
Physics Simulation Made Easy" (Fully Integrated FEA, FEniCS
...By providing a truly easy to use and integrated all-in-one simulation platform for multi-physics analysis, makes FEATool an ideal simulation and modeling tool for everyone from students learning mathematical modeling, to researchers and engineers wishing to explore new ideas in a no fuss, simple, and convenient way. -
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Symbolics.jl
Symbolic programming for the next generation of numerical software
Symbolics.jl is a high-performance symbolic computation library for the Julia programming language. It enables users to define, manipulate, and analyze mathematical expressions symbolically, with strong support for symbolic differentiation, simplification, equation solving, and code generation. Designed for use in scientific computing, machine learning, and engineering, Symbolics.jl integrates smoothly with Julia’s numerical ecosystem, allowing symbolic expressions to be compiled and optimized for high-speed evaluation. -
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alphageometry
AI-driven neuro-symbolic solver for high-school geometry problems
AlphaGeometry, developed by Google DeepMind, is a theorem-proving system that combines symbolic reasoning with deep learning to solve challenging geometry problems, such as those found in mathematical Olympiads. The repository provides the full implementation of DDAR (Deductive Difference and Abductive Reasoning) and AlphaGeometry, two automated geometry solvers described in the 2024 Nature paper “Solving Olympiad Geometry without Human Demonstrations.” AlphaGeometry integrates a symbolic deduction engine with a transformer-based language model to propose and validate geometric constructions in a stepwise proof process. ... -
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S2 Geometry
Computational geometry and spatial indexing on the sphere
...This makes it particularly suited for applications involving geospatial data, such as mapping, spatial indexing, and geographic information systems (GIS). The library provides a robust mathematical framework for spherical geometry, allowing developers to work with polygons, points, and regions on the Earth’s surface using consistent and precise algorithms. Unlike traditional 2D geometry libraries, S2 ensures accuracy over large scales by modeling the globe directly, avoiding distortions caused by map projections. The project includes core C++ support, optional Python bindings, and integrations with Bazel and CMake for flexible builds. ... -
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Swift Numerics
Advanced mathematical types and functions for Swift
Swift Numerics is a foundational library that extends the Swift standard library with essential numerical protocols, types, and functions needed for scientific and systems programming. It defines generic abstractions over real and complex numbers so algorithms can be written once and work across concrete floating-point types. The package includes RealModule utilities and a full Complex type with the expected arithmetic and transcendental functions, bridging a long-standing gap for numerics... -
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Napkin
An Infinitely Large Napkin
Napkin (also titled “An Infinitely Large Napkin”) is a lightweight, semi-formal introduction to higher mathematics, aimed at giving readers a bird’s-eye view over various mathematical fields. It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. ... -
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half
C++ library for half precision floating point arithmetics.
This is a C++ header-only library to provide an IEEE-754 conformant half-precision floating point type along with corresponding arithmetic operators, type conversions and common mathematical functions. It aims for both efficiency and ease of use, trying to accurately mimic the behaviour of the builtin floating point types at the best performance possible. It automatically uses and provides C++11 features when possible, but stays completely C++98-compatible when neccessary. -
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Mathpaqs
A collection of mathematical packages in pure Ada
Various mathematical packages including algebra, finite elements, random variables, probability dependency models, unlimited integers. Pure Ada, fully portable. More information on... http://mathpaqs.sf.net Alire crate: https://alire.ada.dev/crates/mathpaqs Mirror: https://github.com/zertovitch/mathpaqs -
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LMath library
Math library for Free Pascal and Lazarus.
LMath, based on DMath, is a mathematical library for FreePascal (FPC) and Lazarus. It is entirely written in Pascal and does not depend on external libraries. LMath provides routines and demo programs for numerical analysis, including mathematical functions, probabilities, matrices, optimization, linear and nonlinear equations, integration, Fast Fourier Transform, random numbers, curve fitting, statistics and graphics. -
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Miramath is an open source project inspired by the MathCad mathematical application. The main user interface consists of a page into which mathematical expressions can be entered or edited and then evaluated.
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Open tool platform for the cost effective rigorous development of dependable complex software systems services. This platform is based on the event-B formal method and provides natural support for refinement and mathematical proof.
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Maxima -- GPL CAS based on DOE-MACSYMA
Computer Algebra System written in Common Lisp
Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more. For example, Maxima solves x^2-r*x-s^2-r*s=0, giving the symbolic results [x=r+s, x=-s]. It can also calculate with exact integers and fractions, native floating-point, and high-precision big floats. Maxima has user-friendly front-ends, an online manual, plotting commands, and numerical libraries. ... -
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MathMod
MathMod is a mathematical modeling software
MathMod is a portable interactive plotting and graphing program for Windows, Linux, MacOSX and many other platforms. MathMod allows to plot 3D mathematical surfaces, described by implicit or parametric equations, and offers a very large database of model samples that can be generated with it. It's Free and Open Source. Change-log for MathMod-13.0 (15/11/2025) 1) Scripts generator to add thickness to iso/parametric surfaces 2) Undo/Redo commands for navigating through previous scripts 3) New scripts, Bug-fixes, code optimization and documentation update For a complete list of changes made during the course of development, please visit: https://github.com/users/parisolab/projects/2 -
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calc: C-style arbitrary precision system
Calc: arbitrary precision C-like arithmetic & calculator
Calc is arbitrary precision C-like arithmetic system that is a calculator, an algorithm prototyper and mathematical research tool. Calc comes with a rich set of builtin mathematical and programmatic functions. -
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MathematicalRamblingsjs
Biblioteca JavaScript Mathematical Ramblings.
Biblioteca de funções, procedimentos e constantes JavaScript do projeto Mathematical Ramblings (https://antoniovandre.github.io/MathematicalRamblingsjs). -
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JGraphT is a free Java class library that provides mathematical graph-theory objects and algorithms. JGraphT supports a rich gallery of graphs and is designed to be powerful, extensible, and easy to use.
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Library for ion optics, plasma extraction and space charge dominated ion beam transport.
