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Wordnet 3.0

NOUN (1)

1. a precise rule (or set of rules) specifying how to solve some problem;
[syn: algorithm, algorithmic rule, algorithmic program]

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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) 3.0 (2006):algorithm
n 1: a precise rule (or set of rules) specifying how to solve
some problem [syn: algorithm, 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 (18 March 2015):algorithm

A detailed sequence of actions to
perform to accomplish some task.  Named after the Iranian,
Islamic mathematician, astronomer, astrologer and geographer,