Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

Julia implementation of associative containers that preserve insertion order

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Julia-based implementation of ellipsis array indexing notation `..`

SparseArrays.jl is a Julia stdlib

Basic interface for manifolds in Julia

This is what I wish `Base.@enum` was.

A general-purpose toolbox for efficient Kronecker-based algebra.

Simple, consistent interfaces for any codec.

Collective tools for metaprogramming on Julia Expr

Cunning tricks though the julia compiler internals

`@pack!` and `@unpack` macros

A simple index type that allows for inverted selections

Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia

Fixed point types for julia

TAR files: create, list, extract them in pure Julia

Light-weight expression manipulation tools

Basic color definitions and traits

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A simple shared suite of common derivative definitions

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

A Julia package for describing domains as continuous sets of elements

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.

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

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

Multivariate polynomials implementation of commutative and non-commutative variables

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

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

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.