Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.

ExtractArchive[file] expands an archive file, saving its content into the current directory.ExtractArchive[file, dir] saves the content of an archive file into directory ...

Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. ...

Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

Mathematica uses a large number of original algorithms to provide automatic systemwide support for inequalities and inequality constraints. Whereas equations can often be ...

Mathematica supports hyperbolic functions everywhere in the complex plane—with careful attention to branch cuts—and provides an extensive web of exact and algebraic ...

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

Mathematica's symbolic architecture allows it to represent any equation as a symbolic expression that can be manipulated using any of Mathematica's powerful collection of ...