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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
space complexity
The way in which the amount of storage space
required by an algorithm varies with the size of the problem
it is solving. Space complexity is normally expressed as an
order of magnitude, e.g. O(N^2) means that if the size of the
problem (N) doubles then four times as much working storage
will be needed.
See also computational complexity, time complexity.
(1996-05-08)