A simple shared suite of common derivative definitions

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Julia package for various special functions based on `log` and `exp`.

Optimisers.jl defines many standard optimisers and utilities for learning loops.

Missing value support for Julia

A Julia package for calculating hypergeometric functions

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

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

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

Scratch spaces for all your persistent mutable data needs

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

Faster closure variable capture

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

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

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

Extra sorting algorithms extending Julia's sorting API

Static types useful for dispatch and generated functions.

Flux's ex AD

Makes Julia's package extensions backwards compatible

Zlib codecs for TranscodingStreams.jl.

Interface for arithmetics on mutable types in Julia

A pooled representation for arrays with few unique elements

Julia implementation for the BFloat16 number type

Fixed-width string types for Julia

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

This package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem

Calculating contour curves for 2D scalar fields in Julia

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

Wrapper around mbedtls

Fast composable IO streams

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Positive-definite "approximations" to matrices

Repository for automatic differentiation backend types

Direct solution of large sparse systems of linear algebraic equations in pure Julia

Naïve combined subexpression elimination in Julia

A Julia package to provide C and Python-like formatting support

A package which provides an API for querying differentiation results at multiple orders simultaneously

Treat colors as if they are n-vectors for the purposes of arithmetic

Generic helper algorithms for building plotting components