norm

名词 n. 动词 v.
中文释义
英 /nɔːm/    美 /nɔɹm/

英文释义

名词 n.
  1. That which is normal or typical.
    — Unemployment is the norm in this part of the country.
  2. A rule that is imposed by regulations and/or socially enforced by members of a community.
    — Not eating your children is just one of those societal norms.
  3. A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
  4. A function which satisfies a particular set of formal conditions, created to generalize the notion of the length of a vector. Formally, a real-valued function on a vector space, generally denoted v↦|v| or v↦‖v‖, that satisfies the following properties:; if v ne 0 then ‖v‖ ne 0;
  5. A function which satisfies a particular set of formal conditions, created to generalize the notion of the length of a vector. Formally, a real-valued function on a vector space, generally denoted v↦|v| or v↦‖v‖, that satisfies the following properties:; given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;
  6. A function which satisfies a particular set of formal conditions, created to generalize the notion of the length of a vector. Formally, a real-valued function on a vector space, generally denoted v↦|v| or v↦‖v‖, that satisfies the following properties:; given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
  7. Any of several generalizations of the above: a field norm, ideal norm, etc.
  8. Any of several generalizations of the above: a field norm, ideal norm, etc.; An element of the image of some (generalized) norm, the element then said to be from the norm in question, or from the structure which gave rise to the norm.
    — A quaternion algebra (a,b) over ksplits if and only if b is a norm from the field extension k(#92;sqrt#123;a#125;)#47;k, i.e. if and only if there is some x in k(#92;sqrt#123;a#125;) which has field norm exactly equal to b.
  9. A high level of performance in a chess tournament, several of which are required for a player to receive a title.
动词 v.
  1. To endow (a vector space, etc.) with a norm.

词形变化

norms plural norms present,singular,third-person norming participle,present normed participle,past normed past

词汇关系

下位词
absolute value p-adic absolute value trivial absolute value
衍生词
1-norm 2-norm absolute norm adnorm age norm Banach norm basic norm Bombieri norm C*-cross norm Chebyshev norm complex norm conorm copynorm Cr-norm cross norm Dedekind-Hasse norm dual norm ethical norm Euclidean matrix norm Euclidean norm Euclidean vector norm exonorm extended norm field norm flat norm four-vector norm Frobenius matrix norm Frobenius norm Frobenius norm function Gowers norm grandmaster norm graph norm Hardy norm Hilbert-Schmidt norm ideological norm induced norm infinity-norm integral flat norm l1 norm l2 norm L-infinity norm male as norm mass norm matrix F-norm matrix norm matrix p-norm maximum absolute row column norm maximum absolute row sum norm maximum norm metanorm metric induced by a norm minimum norm property Minkowski norm Mistralian norm moral norm multinorm natural norm normable normation normcore normed norm form norm function normic form normie normless normlessness norm of an ideal norm of communism norm of disinterestedness norm of organized skepticism norm of reaction norm of reciprocity norm of universalism norm-referenced norm-referencing norm-residue norm resolvent convergence norm theorem normwise nuclear norm operator norm p-adic norm peremptory norm p-norm polynomial bar norm polynomial bracket norm polynomial norm pseudonorm quasinorm quaternion norm reduced norm regular norm relative norm renorm seminorm semi-norm sexual norm social norm spectral norm spinorial norm spinor norm statistical norm subordinate norm sup-norm sup norm supremum norm t-norm t-norm fuzzy logic tobacco-free social norm trace norm two-norm uniform norm vector norm vector p-norm
相关词
abnormity abnormous normal normated normatic normative normo-

词源

词源 1
From Latin norma (“a carpenter's square, a rule, a pattern, a precept”). Doublet of norma.
词源 2
Back-formation from normed.
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