# 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.]

al′go·rith′mic (-rĭth′mĭk) adj.
al′go·rith′mi·cal·ly adv.
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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## 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]
ˌalgoˈrithmic adj
ˌalgoˈrithmically adv
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## 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•rith′mic, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

## 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.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## algorithm

any methodology for solving a certain kind of problem.
See also: Mathematics
-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
алгоритъм
algoritmus
algoritmi
algoritam
algoritma
reiknirit
アルゴリズム
algoritmas
algoritm

## algorithm

[ˈælgəˌrɪðəm] N
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## algorithm

[ˈælgərɪðəm] n
computer algorithm → genetic algorithm
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## algorithm

nAlgorithmus m
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## algorithm

[ˈælgəˌrɪðm] n (Comput) → algoritmo
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

## al·go·rithm

n. algoritmo, método aritmético y algebraico que se usa en el diagnóstico y tratamiento de una enfermedad.
English-Spanish Medical Dictionary © Farlex 2012
References in periodicals archive ?
Comment from discussion An AI algorithm can now predict faces with just 16x16 resolution.
How would it be if algorithms are developed to be able to recognize the faces of low-resolution images, even if it was 16x16p?
"Our study demonstrates the ability of machine learning algorithms to classify surgical expertise with greater granularity and precision than has been previously demonstrated," the authors write.
Keywords: automatic algorithm testing, quality evaluation, empirical analysis
Singer wondered what if, instead of taking hundreds or thousands of small steps to reach a solution, an algorithm could take just a few leaps?
The algorithm starts from an input image where each pixel is labeled as not belonging to any region.
An algorithm can be defined as a step-by-step procedure used to solve a problem or complete a task (Anderson et al., 2007).
In the study [30], the authors proposed steganography algorithm that only works for JPEG images.
Here, two elements are essential: data and the right algorithm. The more data you have, the better.
In this paper, to convert k into [NAF.sub.W] (k) faster than the [NAF.sub.W] algorithm, we propose a new NAF conversion algorithm, called the w-bit Shifting Non-Adjacent Form ([SNAF.sub.W]) algorithm.

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