English

Alternative forms
seminorm (US)

Noun
en-noun|sg=semi-norm

1. analysis A function denoted ||v|| that maps a vector v to a non-negative value such that ||cv|| |c|.||v||, where c is a scalar, and ||v + w|| ≤ ||v|| + ||w|| (the triangle inequality); the condition that ||v|| 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm.

Synonyms
(in analysis): gauge

Derived terms
semi-normed, seminormed

See also
norm

• 2007-05-11 05:44 - Connel MacKenzie - {{gender}}, ===Hdr===, [[User:Connel MacKenzie/Format|fmt]]

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