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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
The topic of analytic iteration seems to me the most interesting field regarding uniqueness of the solutions.
Write a program for policy iteration and re-solve Jack's car rental problem with the following changes.
This factor analysis was based on the combined normative samples using principal factoring with iteration plus orthogonal rotation.
It is generally regarded as a study of the iteration of maps, of time evolution of differential equations, and of group actions on manifolds.
The most dramatic iteration came on the floor of the Senate, when he made it the centerpiece of a carefully prepared 20-minute oration.
Weaver's ceuvre is defined by its insistent iteration of the deathlessness of ancestral heritage amid the life cycle.

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