Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

A concrete syntax tree parser for Julia

Tokenization for Julia source code

Uniform Interface for positive definite matrices of various structures

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Functions generated at runtime without world-age issues or overhead

Interval Sets for Julia

Prime numbers in Julia

Random Number Generators for the Julia Language.

The Arnoldi Method with Krylov-Schur restart, natively in Julia.

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

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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SparseArrays.jl is a Julia stdlib

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

Cunning tricks though the julia compiler internals

Collective tools for metaprogramming on Julia Expr

Simple, consistent interfaces for any codec.

`@pack!` and `@unpack` macros

A CommonMark-compliant Markdown parser for Julia.

A simple index type that allows for inverted selections

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

Fixed point types for 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

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.

Multivariate polynomials implementation of commutative and non-commutative variables

Scratch spaces for all your persistent mutable data needs