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What is an iteration?

What is an iteration? Here are some definitions.

Noun
  1. Recital or performance a second time; repetition.
  2. A variation or version.
  3. (computing) The use of repetition in a computer program, especially in the form of a loop.
  4. (computing) A single repetition of the code within such a repetitive process.
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Examples
Write a program for policy iteration and re-solve Jack's car rental problem with the following changes.
It is generally regarded as a study of the iteration of maps, of time evolution of differential equations, and of group actions on manifolds.
It revealed that my computer outputs sound based on an iteration involving fifteen random infinite sets derived from a distributed lava lamp.
Weaver's ceuvre is defined by its insistent iteration of the deathlessness of ancestral heritage amid the life cycle.
This factor analysis was based on the combined normative samples using principal factoring with iteration plus orthogonal rotation.
This iteration builds on what was achieved in its predecessor, without making wholesale changes that could alienate fans of the original.

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