(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.

(economics) economic thought in which one applies moral beliefs, or judgment, claiming that an outcome is "good" or "bad". For example: "this tax on cigarettes will be good because it will reduce smoking."

(mathematics) A norm of an ordinary Euclidean space, for which the Pythagorean theorem holds, defined by |x|=√

(fuzzy logic) A mathematical function T: [0, 1] × [0, 1] → [0, 1] that is commutative, associative, monotonic, and the number 1 acts as identity element, that is T(a, 1) = a.

(ethics) A branch of ethics concerned with classifying actions as right and wrong, attempting to develop a set of rules governing human conduct, or a set of norms for action.

(number theory) A p-adic absolute value, for a given prime number p, the function, denoted |..|ₚ and defined on the rational numbers, such that |0|ₚ = 0 and, for x≠0, |x|ₚ = p^(-ordₚ(x)), where ordₚ(x) is the p-adic ordinal of x; the same function, extended to the p-adic numbers ℚₚ (the completion of the rational numbers with respect to the p-adic ultrametric defined by said absolute value); the same function, further extended to some extension of ℚₚ (for example, its algebraic closure).

(mathematics) A vector space which is additionally equipped with a norm.

plural of normed vector space

(fuzzy logic) Any kind of fuzzy logic whose semantics valuates conjunctions by means of t-norms.