semi-norm
See also: seminorm
English edit
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Etymology edit
Noun edit
semi-norm (plural semi-norms)
- (mathematical 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 edit
- (in analysis): gauge
Derived terms edit
Translations edit
a function that maps a vector to a non-negative value