semi-norm
semi-norm · semi-norms
мера, калибр, размер
Halbnorm, Seminorm
A function denoted ∥v∥ that maps a vector v to a non-negative value such that ∥cv∥ =…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.
Meaning
1 sensesA 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.
Halbnorm, Seminorm
Translations
2 languagesDeutsch
By meaning 1
a function that maps a vector to a non-negative value: