Manipulator[x] represents a manipulator with setting x in the range 0 to 1. Manipulator[Dynamic[x]] takes the setting to be the dynamically updated current value of x, with ...

NominalVariables is an option for fitting functions such as LinearModelFit that specifies which variables should be treated as having discrete values specified by names.

Opacity[a] is a graphics directive which specifies that graphical objects which follow are to be displayed, if possible, with opacity a. Opacity[a, color] uses the specified ...

PermutationCycles[perm] gives a disjoint cycle representation of permutation perm.

RandomSample[{e_1, e_2, ...}, n] gives a pseudorandom sample of n of the e_i.RandomSample[{w_1, w_2, ...} -> {e_1, e_2, ...}, n] gives a pseudorandom sample of n of the e_i ...

WordData["word", " property"] gives the specified property for the English word " word".WordData["word"] gives a list of full word specifications representing possible uses ...

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...

Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

Functions like Read and Write handle ordinary printable text. But in dealing with external data files or devices it is sometimes necessary to go to a lower level, and work ...