Sparse representations of matrices are useful because they do not store every element. If one particular value appears very frequently it can be very advantageous to use a ...

MannWhitneyTest[{data_1, data_2}] tests whether the medians of data_1 and data_2 are equal.MannWhitneyTest[dspec, \[Mu]_0] tests the median difference against ...

MathieuGroupM11[] represents the sporadic simple Mathieu group M_11.

Pattern matching makes possible some of the most succinct and elegant programs in the Mathematica language—immediately compressing large numbers of conditional cases into ...

ReflexiveQ[g] yields True if the adjacency matrix of g represents a reflexive binary relation.

TransitiveQ[g] yields True if graph g defines a transitive relation.

DerangementQ[p] tests whether permutation p is a derangement, that is, a permutation without a fixed point.

The single function Manipulate gives immediate access to a huge range of powerful interactive capabilities. For any expression with symbolic parameters, Manipulate ...

InteractiveTradingChart[{{date_1, {open_1, high_1, low_1, close_1, volume_1}}, ...}] makes a chart showing prices and volume for each date. InteractiveTradingChart[{" name", ...

Mathematica's graphics language is carefully designed to make it easy to control—both manually and programmatically—the detailed appearance and labeling of graphics, while ...