GatherBy[list, f] gathers into sublists each set of elements in list that gives the same value when f is applied. GatherBy[list, {f_1, f_2, ...}] gathers list into nested ...

Mathematica 7 extends its general treatment of lists and matrices by adding a variety of convenient functions, including support for common convolution and structure matrices.

When summarizing data, it is often useful to analyze it by subgroup. For example, crop yields could be categorized by seed variety, or average patient recovery time by ...

Built on powerful and elegant principles, the core Mathematica language has emerged over the past 20 years as perhaps the world's richest and deepest programming language. ...

Gather[list] gathers the elements of list into sublists of identical elements. Gather[list, test] applies test to pairs of elements to determine if they should be considered ...

Mathematica encapsulates in a small number of functions vast flexibility in rearranging lists with any structure and any number of elements.

SplitBy[list, f] splits list into sublists consisting of runs of successive elements that give the same value when f is applied. SplitBy[list, {f_1, f_2, ...}] recursively ...

Cases[{e_1, e_2, ...}, pattern] gives a list of the e_i that match the pattern. Cases[{e_1, ...}, pattern -> rhs] gives a list of the values of rhs corresponding to the e_i ...

Mathematica provides great flexibility for displaying and styling headings in a table. You can use Prepend or ArrayFlatten to add headings to rows and columns and then use ...

MathieuGroupM11[] represents the sporadic simple Mathieu group M_11.