semi-norms

A form of semi-norm — 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.

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Meanings

noun
  1. pluralplural of semi-norm
Cite this entry
APA

semi-norms. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/semi-norms

MLA

“semi-norms.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semi-norms. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “semi-norms,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/semi-norms.

Source: semi-norms on Wiktionary, CC BY-SA 4.0.