Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

All the functionality of NumericalMath`Butcher`is now available in the newly created Numerical Differential Equation Analysis Package.

Each version of Mathematica comes with a variety of standard extra packages that provide specific additional functionality. The specific code of these packages can be ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...

Mathematica stands out from traditional computer languages in supporting many programming paradigms. Procedural programming is the only paradigm available in languages like C ...

In Mathematica's standard notebook interface, you are directly giving input and getting output every time you press Shift+Enter. Although much more rarely needed than in more ...

Traditional procedural programming languages typically require programmers to define an explicit "flow of control" at every stage in their programs. Mathematica provides ...

Mathematica has flexible capabilities for per-machine or network license management.