Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

NumericQ[expr] gives True if expr is a numeric quantity, and False otherwise.

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

SymbolicXMLQ[expr] returns True if the expression expr matches some basic patterns for a SymbolicXML expression and False otherwise.SymbolicXMLQ[expr, True] performs a ...

SimilarityRules is an option for functions such as SequenceAlignment that gives a list of rules for similarity scores to assume between pairs of elements.

The general principle that Mathematica follows in evaluating expressions is to go on applying transformation rules until the expressions no longer change. This means, for ...

The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, ...

This section is designed to discuss how to make compiled functions run efficiently. It will cover features that make them run faster, as well as problems that can make them ...

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListStreamDensityPlot[{{{x_1, y_1}, ...