Word:

Iteration

It`er`a´tion
n.1.Recital or performance a second time; repetition.
What needs this iteration, woman?
- Shak.
2.(Computers) The execution of a statement or series of statements in a loop which is repeated in a computer program; as, at each iteration, the counter is incremented by 2.
Noun1.iteration - (computer science) a single execution of a set of instructions that are to be repeated; "the solution took hundreds of iterations"
Synonyms: loop
2.Iterationiteration - (computer science) executing the same set of instructions a given number of times or until a specified result is obtained; "the solution is obtained by iteration"
Synonyms: looping
3.iteration - doing or saying again; a repeated performance
(programming)iteration - Repetition of a sequence of instructions. A fundamental part of many algorithms. Iteration is characterised by a set of initial conditions, an iterative step and a termination condition.

A well known example of iteration in mathematics is Newton-Raphson iteration. Iteration in programs is expressed using loops, e.g. in C:

new_x = n/2; do x = new_x; new_x = 0.5 * while (abs(new_x-x) > epsilon);

Iteration can be expressed in functional languages using recursion:

solve x n = if abs(new_x-x) > epsilon then solve new_x n else new_x where new_x = 0.5 * (x + n/x)

solve n/2 n
conduplication, copy, copying, critique, doubling, duplicate, duplication, dwelling upon, elaboration, gemination, going over, imitation, ingemination, practicing, reaffirmation, recap, recapitulation, recital, recountal, recounting, reduplication, rehash, rehearsal, reissue, reiteration, repetition, replication, reprint, reproduction, restatement, resume, retelling, review, summary, summing up, twinning
Translate Iteration to German
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Itchy
itchy feet
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Itelmen
item
item-by-item
itemisation
itemise
itemization
Itemize
Iter
Iterable
Iterance
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Iterate
Iterated Function System
-- Iteration --
Iterative
iterative deepening
iterator
Iternet
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Ithyphallic
ITIL
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Itinerancy
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Itinerantly
itinerary
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