Showing 2806 open source projects for "mathematics"

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  • 1
    alphageometry

    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...
    Downloads: 8 This Week
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  • 2
    CausalImpact

    CausalImpact

    An R package for causal inference in time series

    The CausalImpact repository houses an R package that implements causal inference in time series using Bayesian structural time series models. Its goal is to estimate the effect of an intervention (e.g. a marketing campaign, policy change) on a time series outcome by predicting what would have happened in a counterfactual “no intervention” world. The package requires as input a response time series plus one or more control (covariate) time series that are assumed unaffected by the...
    Downloads: 0 This Week
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  • 3
    Benchee

    Benchee

    Easy and extensible benchmarking in Elixir

    Library for easy and nice (micro) benchmarking in Elixir. Benchee allows you to compare the performance of different pieces of code at a glance. It is also versatile and extensible, relying only on functions. There are also a bunch of plugins to draw pretty graphs and more! Benchee runs each of your functions for a given amount of time after an initial warmup, it then measures their run time and optionally memory consumption. It then shows different statistical values like average, standard...
    Downloads: 0 This Week
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  • 4
    Handcalcs

    Handcalcs

    Python library for converting Python calculations into rendered latex

    Handcalcs is a Python library that auto-renders calculation code in Jupyter notebooks or LaTeX documents with step-by-step symbolic substitution, giving output a “handwritten” feel. It supports cell magics and auto-LaTeX generation via configurable output options.
    Downloads: 0 This Week
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  • 5
    Hecke.jl

    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.
    Downloads: 0 This Week
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  • 6
    SuperPrompt

    SuperPrompt

    Experimental prompt framework exploring reasoning structures in AI

    ...These sections act as a kind of meta-instruction system intended to influence how an AI model approaches problem solving and conceptual exploration. SuperPrompt also incorporates ideas from mathematics, recursion, abstract algebra, and theoretical reasoning to encourage models to perform multi-step conceptual synthesis rather than simple direct responses.
    Downloads: 2 This Week
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  • 7
    Computational Thinking

    Computational Thinking

    Introduction to computational thinking with Julia

    Computational Thinking is an open source MIT course repository that teaches computational problem-solving through the Julia programming language. The course integrates mathematics, computing, and real-world applications into a unified curriculum, making it suitable for students across science, engineering, and data-driven fields. It emphasizes learning how to translate problems into computational terms and developing algorithms and models to analyze them effectively. Using Julia, the course highlights both mathematical reasoning and practical coding, bridging the gap between theory and application. ...
    Downloads: 2 This Week
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  • 8
    Integrals.jl

    Integrals.jl

    A common interface for quadrature and numerical integration

    Integrals.jl is an instantiation of the SciML common IntegralProblem interface for the common numerical integration packages of Julia, including both those based upon quadrature as well as Monte-Carlo approaches. By using Integrals.jl, you get a single predictable interface where many of the arguments are standardized throughout the various integrator libraries. This can be useful for benchmarking or for library implementations since libraries that internally use a quadrature can easily...
    Downloads: 0 This Week
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  • 9
    Oscar.jl

    Oscar.jl

    A comprehensive open source computer algebra system for computations

    Welcome to the OSCAR project, a visionary new computer algebra system that combines the capabilities of four cornerstone systems: GAP, Polymake, Antic and Singular. OSCAR requires Julia 1.6 or newer. In principle it can be installed and used like any other Julia package; doing so will take a couple of minutes. A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.
    Downloads: 0 This Week
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  • 10
    SpecialFunctions.jl

    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.
    Downloads: 0 This Week
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  • 11
    DifferentialEquations.jl

    DifferentialEquations.jl

    Multi-language suite for high-performance solvers of equations

    This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research which routinely outperform the “standard” C/Fortran methods, and include algorithms optimized...
    Downloads: 1 This Week
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  • 12
    CGAL

    CGAL

    The Computational Geometry Algorithms Library

    CGAL or the Computational Geometry Algorithms Library is a C++ library that gives you easy access to a myriad of efficient and reliable geometric algorithms. These algorithms are useful in a wide range of applications, including computer aided design, robotics, molecular biology, medical imaging, geographic information systems and more. CGAL features a great range of data structures and algorithms, including Voronoi diagrams, cell complexes and polyhedra, triangulations, arrangements of...
    Downloads: 1 This Week
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  • 13
    LazySets.jl

    LazySets.jl

    Scalable Symbolic-Numeric Set Computations

    LazySets.jl is a Julia package for calculus with convex sets. The aim is to provide a scalable library for solving complex set-based problems, such as those encountered in differential inclusions or reachability analysis techniques in the domain of formal verification. Typically, one is confronted with a set-based recurrence with a given initial set and/or input sets, and for visualization purposes, the final result has to be obtained through an adequate projection onto low dimensions. This...
    Downloads: 0 This Week
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  • 14
    The Algorithms - C++ #

    The Algorithms - C++ #

    Collection of various algorithms in mathematics, machine learning

    TheAlgorithms/C-Plus-Plus is a large open-source repository that collects implementations of many classic algorithms and data structures written in the C++ programming language. The project is part of the broader “The Algorithms” initiative, which maintains algorithm implementations in several programming languages to support education and knowledge sharing. Within the C++ repository, contributors implement algorithms across a wide range of fields including sorting, graph theory, number...
    Downloads: 2 This Week
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  • 15
    gptoolbox

    gptoolbox

    Matlab toolbox for Geometry Processing

    gptoolbox is a comprehensive MATLAB toolbox for geometry processing, optimization, and image processing. It provides a wide range of utility functions for working with triangle and tetrahedral meshes, making it useful for tasks in computer graphics, computational geometry, and 3D modeling. The toolbox includes wrappers for external software such as TetGen, Triangle, QSlim, and meshfix, as well as functions for mesh smoothing, cleanup, deformation, and parameterization. It also implements...
    Downloads: 1 This Week
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  • 16
    JAX

    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...
    Downloads: 3 This Week
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  • 17
    MCM-ICM

    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...
    Downloads: 0 This Week
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  • 18
    PyTensor

    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...
    Downloads: 0 This Week
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  • 19
    Algebraic graphs

    Algebraic graphs

    Algebraic graphs

    Alga is a library for algebraic construction and manipulation of graphs in Haskell. See this Haskell Symposium paper and the corresponding talk for the motivation behind the library, the underlying theory and implementation details. We can give semantics to the constructors in terms of the pair (V, E) of graph vertices and edges. Alga can handle graphs comprising millions of vertices and billions of edges in a matter of seconds, which is fast enough for many applications. We believe there is...
    Downloads: 0 This Week
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  • 20
    LaTeX2e Kernel Code Repository
    LaTeX is a high-quality typesetting system; it includes features designed for the production of technical and scientific documentation. LaTeX is the de facto standard for the communication and publication of scientific documents. LaTeX is available as free software.
    Downloads: 4 This Week
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  • 21
    S2 Geometry

    S2 Geometry

    Computational geometry and spatial indexing on the sphere

    s2geometry is Google’s open source geometry library designed for representing, analyzing, and manipulating geometric shapes on a sphere rather than a flat plane. 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...
    Downloads: 0 This Week
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  • 22
    Swift Numerics

    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...
    Downloads: 0 This Week
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  • 23
    OrdinaryDiffEq.jl

    OrdinaryDiffEq.jl

    High performance ordinary differential equation (ODE)

    This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research that routinely outperform the “standard” C/Fortran methods, and include algorithms optimized...
    Downloads: 0 This Week
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  • 24
    bignumber.js

    bignumber.js

    A JavaScript library for arbitrary-precision decimal arithmetic

    bignumber.js is a JavaScript library for arbitrary-precision decimal and non-decimal arithmetic. Faster, smaller, and perhaps easier to use than JavaScript versions of Java's BigDecimal. Replicates the toExponential, toFixed, toPrecision and toString methods of JavaScript's Number type. Includes a toFraction and a correctly-rounded squareRoot method. Supports cryptographically secure pseudo-random number generation. Wide platform compatibility, uses JavaScript 1.5 (ECMAScript 3) features...
    Downloads: 0 This Week
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  • 25
    Qwen3

    Qwen3

    Qwen3 is the large language model series developed by Qwen team

    ...The latest updated version, Qwen3-235B-A22B-Instruct-2507, features significant improvements in instruction-following, reasoning, knowledge coverage, and long-context understanding up to 256K tokens. It delivers higher quality and more helpful text generation across multiple languages and domains, including mathematics, coding, science, and tool usage. Various quantized versions, tools/pipelines provided for inference using quantized formats (e.g. GGUF, etc.). Coverage for many languages in training and usage, alignment with human preferences in open-ended tasks, etc.
    Downloads: 29 This Week
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