Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

Cycles[{cyc_1, cyc_2, ...}] represents a permutation with disjoint cycles cyc_i.

Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...

Mathematica has many ways to plot functions and data. It automates many details of plotting such as sample rate, aesthetic choices, and focusing on the region of interest. ...

Mathematica provides flexible options for labeling plots, allowing you to present ideas more clearly in presentations and publications.

A possible way of working with permutations is by relating them to the reorderings of the elements of a list. This is the standard point of view in the combinatorial approach ...

Groups admit many different representations. In particular, all finite groups can be represented as permutation groups, that is, they are always isomorphic to a subgroup of ...

Mathematica 's interactive graphics capabilities let you determine the coordinates of a single point. You can also get arbitrary sequences of points and paths, and analyze ...

Using a host of original algorithms developed at Wolfram Research, Mathematica provides powerful functions that automate the process of creating cognitively and aesthetically ...

Long the standard for high-quality function and surface visualization, Mathematica incorporates a host of original numeric, symbolic, and geometric algorithms that automate ...