Permutation Lists (Mathematica Tutorial)

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 ...

The Ordering of Definitions (Mathematica Tutorial)

When you make a sequence of definitions in Mathematica, some may be more general than others. Mathematica follows the principle of trying to put more general definitions ...

Sort (Built-in Mathematica Symbol)

Sort[list] sorts the elements of list into canonical order. Sort[list, p] sorts using the ordering function p.

RandomSample (Built-in Mathematica Symbol)

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 ...

AlgebraicNumberDenominator (Built-in Mathematica Symbol)

AlgebraicNumberDenominator[a] gives the smallest positive integer n such that n a is an algebraic integer.

ImageDifference (Built-in Mathematica Symbol)

ImageDifference[image_1, image_2] gives an image in which each pixel is the absolute difference of the corresponding pixels in image_1 and image_2.

SynchronousUpdating (Built-in Mathematica Symbol)

SynchronousUpdating is an option for Manipulate, Dynamic, and related functions that specifies whether or not to evaluate their contents synchronously.

TraceOff (Built-in Mathematica Symbol)

TraceOff is an option for Trace and related functions which specifies forms inside which tracing should be switched off.

ViewVertical (Built-in Mathematica Symbol)

ViewVertical is an option for Graphics3D and related functions which specifies what direction in scaled coordinates should be vertical in the final image.

$MaxNumber (Built-in Mathematica Symbol)

$MaxNumber gives the maximum arbitrary-precision number that can be represented on a particular computer system.