Definify.com

Definition 2024


semi-norm

semi-norm

See also: seminorm

English

Alternative forms

Noun

semi-norm (plural semi-norms)

  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

Derived terms

  • semi-normed, seminormed

Translations

See also

Anagrams