# algorithm

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## al·go·rithm

(ăl′gə-rĭth′əm)
n.
A finite set of unambiguous instructions that, given some set of initial conditions, can be performed in a prescribed sequence to achieve a certain goal and that has a recognizable set of end conditions.

[Variant (probably influenced by arithmetic) of algorism.]

Word History: Because of its popularity over the last century, one might figure algorithm for a new coinage. The source of algorithm, however, is not Silicon Valley but Khwarizm, a region near the Aral Sea in south-central Asia and the birthplace of the ninth-century mathematician Muhammad ibn-Musa al-Khwarizmi (780?-850?). Al-Khwarizmi, "the Khwarizmian," who later lived in Baghdad, wrote a treatise on what is called algorism, or the use of Arabic numerals for mathematical computation. Despite the name by which the Arabic numerals are known in Europe, these symbols, as well as the methods for using them, were actually developed in ancient India. Europeans learned to use the numerals, however, through treatises written in Arabic by mathematicians working in the Muslim world. Algorism, the English word for computation with Arabic numerals, is derived from Al-Khwarizmi's name. The word algorithm originated as a variant spelling of algorism, probably under the influence of the word arithmetic or its Greek source arithmos, "number." With the development of sophisticated mechanical computing devices in the 20th century, algorithm was adopted as a convenient word for a recursive mathematical procedure, the computer's stock-in-trade. In its new life as a computer term, algorithm, no longer a variant of algorism, nevertheless reminds us of the debt that modern technology owes to the scientists and scholars of ancient and medieval times.

## algorithm

(ˈælɡəˌrɪðəm)
n
1. (Mathematics) a logical arithmetical or computational procedure that if correctly applied ensures the solution of a problem. Compare heuristic
2. (Mathematics) logic maths a recursive procedure whereby an infinite sequence of terms can be generated
French name: algorism
[C17: changed from algorism, through influence of Greek arithmos number]

## al•go•rithm

(ˈæl gəˌrɪð əm)

n.
1. a set of rules for solving a problem in a finite number of steps, as for finding the greatest common divisor.
2. a sequence of steps designed for programming a computer to solve a specific problem.
[1890–95; alter. of algorism, by association with Greek arithmós number. compare arithmetic]

## al·go·rithm

(ăl′gə-rĭth′əm)
A step-by-step procedure for solving a problem, especially a mathematical rule or procedure used to compute a desired result.

## algorithm

any methodology for solving a certain kind of problem.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 algorithm - a precise rule (or set of rules) specifying how to solve some problemformula, rule - (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials"sorting algorithm - an algorithm for sorting a liststemming algorithm, stemmer - an algorithm for removing inflectional and derivational endings in order to reduce word forms to a common stem
Translations
алгоритъм
algoritmus
algoritmi
algoritam
algoritma
reiknirit
アルゴリズム
algoritmas
algoritm

[ˈælgəˌrɪðəm] N

## algorithm

[ˈælgərɪðəm] n
computer algorithm → genetic algorithm

nAlgorithmus m

## algorithm

[ˈælgəˌrɪðm] n (Comput) → algoritmo

## al·go·rithm

n. algoritmo, método aritmético y algebraico que se usa en el diagnóstico y tratamiento de una enfermedad.
References in periodicals archive ?
Most importantly, the new specification defines a revised encoding algorithm to prevent rare but significantly flawed dot patterns that could have been produced under the original DotCode encoder.
This proposed encoding algorithm is designed to be able to transform the pixel values of an image without altering the pixel position (without scrambling).
New users can use the tool up to 20 times, uploading assets representing their typical content to receive an assessment of their chosen bitrate ladder, as well as a content-specific bitrate ladder obtained through the Bitmovin Per-Title Encoding algorithm. The tool also provides storage cost saving estimates.
The procedure of encoding algorithm is showed in Figure 6.
Dimension optimization of encoding algorithm is shown as Algorithm 2.
Wang, "Error-free holographic frames encryption with CA pixel-permutation encoding algorithm," Optics and Lasers in Engineering, vol.
in the paper "A Generalized Laplacian Pyramid Aimed at Image Compression" [6], where a scanning pattern is used to traverse the input image during the processing phase, in order to group similar pixels, which might help to obtain better compression, when a residual encoding algorithm such as Run-Length Encoding is used.
put forward an encoding algorithm with self-adaptive switching mode according to specific format [16].
Wien, "Joint scalable video model 2.0 reference encoding algorithm description," ISOIEC JTC1SC29WG11 N 7556, 2005.
"A New Binary Encoding Algorithm for the Simultaneous Region-based Classification of Hyperspectral Data and Digital Surface Models".
In order to resolve these issues, the award recipient, Akira Nakagawa, led the R&D efforts on a number of technologies, beginning with a video encoding algorithm that greatly reduces the information volume of HD video at low power while preserving high quality, as well as an H.264(1) encoding chip that supports HD video based on the algorithm.

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