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Definitions for algorithm:

The Collaborative International Dictionary of English v.0.48 :
Algorism \Al"go*rism\, Algorithm \Al"go*rithm\, n. [OE. algorism, algrim, augrim, OF. algorisme, F. algorithme (cf. Sp. algoritmo, OSp. alguarismo, LL. algorismus), fr. the Ar. al-Khow[=a]rezm[imac] of Khow[=a]rezm, the modern Khiwa, surname of Abu Ja'far Mohammed ben Mus[=a], author of a work on arithmetic early in the 9th century, which was translated into Latin, such books bearing the name algorismus. The spelling with th is due to a supposed connection with Gr. ? number.] 1. The art of calculating by nine figures and zero; computation with Arabic figures. [1913 Webster] 2. the Arabic system of numeration. Syn: decimal system [WordNet 1.5] 3. The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc. [1913 Webster]

The Collaborative International Dictionary of English v.0.48 :
algorithm \algorithm\ n. a precise rule (or set of rules) specifying how to solve some problem; a set of procedures guaranteed to find the solution to a problem. Syn: algorithmic rule, algorithmic program [WordNet 1.5 +PJC]

WordNet (r) 2.0 :
algorithm n : a precise rule (or set of rules) specifying how to solve some problem [syn: algorithmic rule, {algorithmic program}]

Moby Thesaurus II by Grady Ward, 1.0 :
51 Moby Thesaurus words for "algorithm": Arabic numerals, MO, Roman numerals, algorism, applied mathematics, approach, attack, binary system, course, decimal system, duodecimal system, fashion, figures, form, guise, hexadecimal system, higher mathematics, line, line of action, lines, manner, manner of working, math, mathematic, mathematics, means, method, methodology, mode, mode of operation, mode of procedure, modus operandi, numbers, octal system, order, practice, procedure, proceeding, process, pure mathematics, routine, style, system, tack, technique, the drill, the how, the way of, tone, way, wise

The Free On-line Dictionary of Computing (27 SEP 03) :
algorithm A detailed sequence of actions to perform to accomplish some task. Named after an Iranian mathematician, Al-Khawarizmi. Technically, an algorithm must reach a result after a finite number of steps, thus ruling out brute force search methods for certain problems, though some might claim that brute force search was also a valid (generic) algorithm. The term is also used loosely for any sequence of actions (which may or may not terminate). {Paul E. Black's Dictionary of Algorithms, Data Structures, and Problems (http://www.nist.gov/dads/)}. (2002-02-05)

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Example
In mathematics, computer science, and related subjects, an 'algorithm' is an effective method for solving a problem expressed as a finite sequence of instructions. Algorithms are used...

algorithm: Definition from Answers.com
algorithm n. A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a

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