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

(mathematics) In the field of additive combinatorics, a class of norms on functions on a finite group or group-like object which quantify the amount of structure or randomness present.

(education) In the United States, the practice of adjusting test scores based on the race of the person taking the test.

(linguistics) An orthographic and oral norm for the Occitan language.

(philosophy) A statement expressing a value judgment answering the question of what ought to be, as opposed to what there is.

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

(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).

plural of normed vector space

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