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Iteration n. 重復,反復,復誦 重復,反復,復誦 iteration 反復運作 iteration 疊代 迭代 iteration n 1: (computer science) a single execution of a set of instructions that are to be repeated; "the solution took hundreds of iterations" [synonym: {iteration}, {loop}] 2: (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" [synonym: {iteration}, {looping}] 3: doing or saying again; a repeated performance Iteration \It`er*a"tion\, n. [L. iteratio.] 1. Recital or performance a second time; repetition. --Bacon. [1913 Webster] What needs this iteration, woman? --Shak. [1913 Webster] 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. [PJC] 36 Moby Thesaurus words for "iteration": 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 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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