Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

A Julia wrapper for the CUDA driver API.

Transformations to contrained variables from ℝⁿ.

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Resizeable multi-dimensional arrays for Julia

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

Multivariate polynomials implementation of commutative and non-commutative variables

Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Scratch spaces for all your persistent mutable data needs

Julia IEEE decimal floating-point via the Intel decimal-float library

A Julia package for representing block-banded matrices and banded-block-banded matrices

Implementation of advanced Sequential Monte Carlo and particle MCMC algorithms

Pure Julia decimal arithmetic library.

An implementation of an LRU Cache in Julia

Ask the CPU for cache sizes, SIMD feature support, a running hypervisor, and more.

A Julia package for describing array layouts and more general fast linear algebra

Convenient macros for in-place matrix operations in Julia

Faster closure variable capture

Extra sorting algorithms extending Julia's sorting API

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Static types useful for dispatch and generated functions.

Permutations class for Julia.

Flux's ex AD

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Zlib codecs for TranscodingStreams.jl.

Makes Julia's package extensions backwards compatible

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Interface for arithmetics on mutable types in Julia

A pooled representation for arrays with few unique elements

Julia implementation for the BFloat16 number type

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

Common table operations on Tables.jl interface implementations

A performant, 100% native-julia SHA1, SHA2, and SHA3 implementation

Fixed-width string types for Julia

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

Calculating contour curves for 2D scalar fields in Julia

Bijection datatype for Julia.

A data structure for efficient manipulation of sets of intervals