OptionsPattern[] is a pattern object that represents a collection of options given as rules, where the values of the options can be accessed using OptionValue. ...

Mathematica provides permutation representations for many important finite groups. Some of these groups are members of infinite families, parametrized by one or more ...

Null-terminated text strings. Represents an arbitrary number of null-terminated character strings. Stores characters as 8-bit Unicode values.

expr[[i]] or Part[expr, i] gives the i\[Null]^th part of expr. expr[[-i]] counts from the end. expr[[i, j, ...]] or Part[expr, i, j, ...] is equivalent to expr[[i]][[j]] .... ...

Mathematica supports dynamic hierarchical namespace management, fully integrated into the Mathematica language. Mathematica's symbolic programming paradigm allows a unique ...

An important feature of string manipulation functions like StringReplace is that they handle not only literal strings but also patterns for collections of strings. This ...

When you set up a graphics object in Mathematica, you give coordinates for the various graphical elements that appear. When Mathematica renders the graphics object, it has to ...

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Mathematica's unified symbolic graphics architecture makes possible powerful mixing of programmatic graphics generation with interactive editing and control. The Mathematica ...

Mathematica allows convenient automated selection of plotting and image regions using a family of specially developed robust algorithms, as well as allowing detailed manual ...