semi-norm

Noun

 * 1)  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∥ &le; ∥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

Translations

 * German: Halbnorm, Seminorm
 * Italian:
 * Swedish: