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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
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.
Weaver's ceuvre is defined by its insistent iteration of the deathlessness of ancestral heritage amid the life cycle.
Write a program for policy iteration and re-solve Jack's car rental problem with the following changes.
The most dramatic iteration came on the floor of the Senate, when he made it the centerpiece of a carefully prepared 20-minute oration.
We propose to calculate the median values at each iteration of the Gibbs sampler.

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