Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)

Update immutable data

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

Simple, consistent interfaces for any codec.

Primitives for construction of objects

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.

Forward Mode Automatic Differentiation for Julia

Julia implementation of Data structures

Julia macro for re-exporting one module from another

Julia bindings to the FFTW library for fast Fourier transforms

Mathematical functions related to statistics.

A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.

Basic statistics for Julia

A data structure for mathematical optimization problems

A Julia/JuMP-based Global Optimization Solver for Non-convex Programs

A benchmarking framework for the Julia language

Reduce time-to-first-execution of Julia code

Archive of functions that emulate R's d-p-q-r functions for probability distributions

Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia

A Julia package for probability distributions and associated functions.

A Julia package for calculating hypergeometric functions

Functionality for working efficiently with block diagonal matrices.

Compatibility across Julia versions

A statistics-focused namespace for packages to share functions

Extensions for Julia's docsystem.

JSON parsing and printing

Adaptive 1d numerical Gauss–Kronrod integration in Julia

Julia package for lazily representing matrices filled with a single entry

Generation of Sobol low-discrepancy sequence (LDS) for the Julia language

Prime numbers in Julia

Statically sized arrays for Julia

Interface for arithmetics on mutable types in Julia

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

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

Back to the stone age!

A Julia framework for implementing FFTs

Julia implementation of associative containers that preserve insertion order

A Julia interface for the SCS conic programming solver

Interface for function inversion in Julia

SparseArrays.jl is a Julia stdlib