meaning of iteration

1. Recital or performance a second time; repetition.
2. 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 * x + n/x; while absnew_x-x > epsilon; Iteration can be expressed in functional languages using recursion: solve x n = if absnew_x-x > epsilon then solve new_x n else new_x where new_x = 0. 5 * x + n/x solve n/2 n
3. doing or saying again; a repeated performance

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