(algebra, mathematical analysis) Of a mathematical structure, endowed with a norm. / (statistics) Of a data set that has been adjusted to a norm.

present participle of norm

(mathematical analysis) The endowing of a vector space, etc. with a norm.

In a normative manner or context.

The quality or state of being normative.

plural of normative

plural of normativity

plural of norming

(mathematics) A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m⨯m matrix A is defined by max _(⃑v≠⃑0)|/} where ⃑v is an m-dimensional vector that is not the zero vector.

(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.