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more about iteration
iteration |
3 definitions found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Iteration \It`er*a"tion\, n. [L. iteratio.] Recital or performance a second time; repetition. --Bacon. What needs this iteration, woman? --Shak. From WordNet r 1.6 [wn]: iteration n : doing or saying again [syn: {reiteration}] From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: iterationRepetition 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 * (x + n/x); } 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 (1998-04-04)
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