semi-norm

名词 n.

英文释义

名词 n.
  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∥ ≤ ∥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.

词形变化

semi-norms plural seminorm alternative

词源

Etymology tree
Proto-Indo-European *sem-
Proto-Indo-European *sēmi
Latin sēmi-bor.
English semi-
English norm
English semi-norm
From semi- + norm.
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