Powerful convenience for Julia visualizations and data analysis

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

A fast and modern CAS for a fast and modern language.

Automatically update function definitions in a running Julia session

A Julia package for probability distributions and associated functions.

Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Julia implementation of Data structures

HTTP for Julia

An experimental code analyzer for Julia. No need for additional type annotations.

Formatted output of timed sections in Julia

Basic statistics for Julia

Physical quantities with arbitrary units

Convert julia objects to LaTeX equations, arrays or other environments.

An opinionated code formatter for Julia. Plot twist - the opinion is your own.

The slow descent into madness

Expression rewriting and simplification

I was gonna maintain this package, but then I got high

Types with default field values, keyword constructors and (un-)pack macros

A Julia package for evaluating distances (metrics) between vectors.

An optimized graphs package for the Julia programming language

Plotting for Julia based on GR, a framework for visualisation applications

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software

Special mathematical functions in Julia

JSON parsing and printing

Making packages work faster with more extensive precompilation

MacroTools provides a library of tools for working with Julia code and expressions.

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Reusable array functionality for Julia's various GPU backends.

An interface for tables in Julia

Calculus functions in Julia

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Mathematical functions related to statistics.

A Julia frontend, written in Julia

AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

Adaptive 1d numerical Gauss–Kronrod integration in Julia

A combinatorics library for Julia

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

Main Package for IO, loading all different kind of files

Lazy code loading for Julia