Rules & Patterns (Mathematica Guide)

At the core of Mathematica's symbolic programming paradigm is the concept of transformation rules for arbitrary symbolic patterns. Mathematica's pattern language conveniently ...

Statistical Model Analysis (Mathematica Guide)

Mathematica's symbolic architecture makes possible a uniquely convenient approach to working with statistical models. Starting from arbitrary data, Mathematica generates ...

XML Formats (Mathematica Guide)

Mathematica's core tree-oriented symbolic language makes it uniquely suited to working with XML. Mathematica can not only import—from files or the web—arbitrary XML with any ...

Complex Polynomial Systems (Mathematica Tutorial)

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

Numerical Nonlinear Local Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Function Approximations Package (Function Approximations Package Tutorial)

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

Cluster Integration (Cluster Integration Guide)

Mathematica's Cluster Integration provides a uniquely seamless interface to cluster management systems. With Cluster Integration you can launch and manage jobs running ...

Charting and Information Visualization (Mathematica Guide)

Mathematica's symbolic architecture and dynamic interface make possible a uniquely flexible and convenient approach to charting and information visualization. With ...

Colors (Mathematica Guide)

Combining a new level of programmatic support for symbolic color with carefully chosen aesthetic color parametrizations, Mathematica allows a uniquely flexible and compelling ...