| 释义 |
iteration
it·er·a·tion I0263050 (ĭt′ə-rā′shən)n.1. The act or an instance of iterating; repetition.2. A form, adaption, or version of something: the latest iteration of a popular app.3. Mathematics A computational procedure in which a cycle of operations is repeated, often to approximate the desired result more closely.4. Computers a. The process of repeating a set of instructions a specified number of times or until a specific result is achieved.b. One cycle of a set of instructions to be repeated: After ten iterations, the program exited the loop.
it′er·a·tive adj.it•er•a•tion (ˌɪt əˈreɪ ʃən)
n. 1. the act of repeating; a repetition. 2. a problem-solving or computational method in which a succession of approximations, each building on the one preceding, is used to achieve a desired degree of accuracy. [1425–75; late Middle English < Latin] Thesaurus| Noun | 1. | iteration - (computer science) a single execution of a set of instructions that are to be repeated; "the solution took hundreds of iterations"loopphysical process, process - a sustained phenomenon or one marked by gradual changes through a series of states; "events now in process"; "the process of calcification begins later for boys than for girls"computer science, computing - the branch of engineering science that studies (with the aid of computers) computable processes and structures | | 2. |  iteration - (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"loopingphysical process, process - a sustained phenomenon or one marked by gradual changes through a series of states; "events now in process"; "the process of calcification begins later for boys than for girls"computer science, computing - the branch of engineering science that studies (with the aid of computers) computable processes and structures | | 3. | iteration - doing or saying again; a repeated performancerepeating, repetition - the act of doing or performing again |
iterationnounThe act or process of repeating:reiteration, repetition, restatement.TranslationsIterationWiederholungiterazioneiteraçãoiteration
iteration[‚īd·ə′rā·shən] (mathematics) iterative method Iteration in mathematics, the result of a repeated application of some mathematical operation. Thus, if y = f(x) ≡ f1(x) is some function of x, then the functions f2 (x)= f[f1(x)], f3(x) = f[f2(x)], …, fn(x) = f[fn 1(x)] are called, respectively, the second, third, …, nth iterations of the function f(x). For example, letting f(x) = xa, we obtain f2(x) = (xa)a = xa2 f3(x) = (xa2)a = xa, and fn(x) = (xan. The index n is termed the iteration index, and the transition from the function f(x) to the functions f2(x), f3(x) … is called iteration. For certain classes of functions one may define iteration with an arbitrary real or even a complex index. Iterative methods are used in the solution of various types of equations and systems of equations. REFERENCECollatz, L. Funktsional’nyi analiz i vychisliteVnaia matematika. Moscow, 1969. (Translated from German.)iteration (programming)Repetition of a sequence of instructions. Afundamental part of many algorithms. Iteration ischaracterised by a set of initial conditions, an iterativestep and a termination condition.
A well known example of iteration in mathematics isNewton-Raphson iteration. Iteration in programs is expressedusing loops, e.g. in C:
new_x = n/2;dox = new_x; new_x = 0.5 * while (abs(new_x-x) > epsilon);
Iteration can be expressed in functional languages usingrecursion:
solve x n = if abs(new_x-x) > epsilonthen solve new_x nelse new_xwhere new_x = 0.5 * (x + n/x)
solve n/2 niterationOne repetition of a sequence of instructions or events. For example, in a program loop, one iteration is once through the instructions in the loop. See iterative development.iteration
iteration
Synonyms for iterationnoun the act or process of repeatingSynonyms- reiteration
- repetition
- restatement
Synonyms for iterationnoun (computer science) a single execution of a set of instructions that are to be repeatedSynonymsRelated Words- physical process
- process
- computer science
- computing
noun (computer science) executing the same set of instructions a given number of times or until a specified result is obtainedSynonymsRelated Words- physical process
- process
- computer science
- computing
noun doing or saying againRelated Words |