normed space

normed space

noun Mathematics.
any vector space on which a norm is defined.

1970–75 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Computing Dictionary

normed space definition

A vector space with a function, ||F||, such that
||F|| = 0 if and only if F=0 ||aF|| = abs(a) * ||F|| ||F+G|| <= ||F|| + ||G||
Roughly, a distance between two elements in the space is defined.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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