Wolfram Language & System 10.0 (2014)|Legacy Documentation

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Functional Iteration

Long used in its simplest form in mathematics, functional iteration is an elegant way to represent repeated operations. The Wolfram Language's symbolic architecture makes powerful general forms of functional iteration immediately accessible.


NestList successively nest a function:

Nest give the result of nesting a function: etc.

FoldList successively fold in a list of values:

Fold give the result of folding in a list of values: etc.

FixedPoint, FixedPointList nest until a fixed point is reached

NestWhile, NestWhileList nest while a condition is satisfied

TakeWhile take from a list while a condition is satisfied

LengthWhile the length while a condition is satisfied