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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
Determination of weights that best equalized the variance across the entire range of response required iteration.
This iteration builds on what was achieved in its predecessor, without making wholesale changes that could alienate fans of the original.
It revealed that my computer outputs sound based on an iteration involving fifteen random infinite sets derived from a distributed lava lamp.
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 topic of analytic iteration seems to me the most interesting field regarding uniqueness of the solutions.
This factor analysis was based on the combined normative samples using principal factoring with iteration plus orthogonal rotation.

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