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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
algorithm
A detailed sequence of actions to
perform to accomplish some task. Named after the Iranian,
Islamic mathematician, astronomer, astrologer and geographer,
Muhammad ibn Musa al-Khwarizmi.
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://nist.gov/dads/)}.
(2002-02-05)