Mathematics Packages
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DiffRules.jl76A simple shared suite of common derivative definitions
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Kalman.jl75Flexible filtering and smoothing in Julia
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Complementarity.jl75Provides a modeling interface for mixed complementarity problems (MCP) and math programs with equilibrium problems (MPEC) via JuMP
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RecursiveFactorization.jl75-
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Cuba.jl75Library for multidimensional numerical integration with four independent algorithms: Vegas, Suave, Divonne, and Cuhre.
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MultiFloats.jl75Fast, SIMD-accelerated extended-precision arithmetic for Julia
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SimpleHypergraphs.jl75A simple hypergraphs package for the Julia programming language
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MatrixDepot.jl74An Extensible Test Matrix Collection for Julia
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TruthTables.jl74Create truth tables in Julia!
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LogExpFunctions.jl74Julia package for various special functions based on `log` and `exp`.
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VML.jl73Julia bindings for the Intel Vector Math Library
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Mathematica.jl73Call Mathematica from Julia
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IntelVectorMath.jl73Julia bindings for the Intel Vector Math Library
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MultiScaleArrays.jl73A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
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MetaGraphsNext.jl73A package for graphs with vertex labels and metadata in Julia
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InfiniteArrays.jl72A Julia package for representing infinite-dimensional arrays
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DomainSets.jl72A Julia package for describing domains as continuous sets of elements
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AlgebraicPetri.jl72Build Petri net models compositionally
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HighDimPDE.jl71A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality
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Arpack.jl69Julia Wrappers for the arpack-ng Fortran library
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HypergeometricFunctions.jl68A Julia package for calculating hypergeometric functions
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TaylorDiff.jl68Taylor-mode automatic differentiation for higher-order derivatives
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GeometryTypes.jl67Geometry types for Julia
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AccurateArithmetic.jl66Calculate with error-free, faithful, and compensated transforms and extended significands.
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Mimi.jl66Integrated Assessment Modeling Framework
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ToeplitzMatrices.jl66Fast matrix multiplication and division for Toeplitz matrices in Julia
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AlgebraicDynamics.jl65Building dynamical systems compositionally
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SciMLExpectations.jl65Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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DiffEqUncertainty.jl65Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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TensorToolbox.jl64Julia package for tensors as multidimensional arrays, with functionalty within Tucker format, Kruskal (CP) format, Hierarchical Tucker format and Tensor Train format.
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DiffEqNoiseProcess.jl63A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)
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CanonicalTraits.jl63Full-featured traits in Julia. Without full features how dare I say this?
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Groebner.jl63Groebner bases in (almost) pure Julia
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IntervalConstraintProgramming.jl63Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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TaylorModels.jl63Rigorous function approximation using Taylor models in Julia
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SingularSpectrumAnalysis.jl63A package for performing Singular Spectrum Analysis (SSA) and time-series decomposition
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NumericalIntegration.jl62Basic numerical integration routines for presampled data.
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Richardson.jl62Richardson extrapolation in Julia
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SingularIntegralEquations.jl62Julia package for solving singular integral equations
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DiffEqParamEstim.jl61Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
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