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  1. In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.

  2. an accepted standard or a way of behaving or doing things that most people agree with: Europe's varied cultural, political and ethical norms. accepted social norms. the norm. C1. a situation or type of behaviour that is expected and considered to be typical: One child per family is fast becoming the norm in some countries.

  3. The meaning of NORM is an authoritative standard : model. How to use norm in a sentence. Synonym Discussion of Norm.

  4. an accepted standard or a way of behaving or doing things that most people agree with: Europe's varied cultural, political and ethical norms. accepted social norms. the norm. C1. a situation or type of behavior that is expected and considered to be typical: One child per family is fast becoming the norm in some countries.

  5. 4 days ago · The norm of a mathematical object is a quantity that in some (possibly abstract) sense describes the length, size, or extent of the object.

  6. a standard, model, or pattern. general level or average: Two cars per family is the norm in most suburban communities. a behavior pattern or trait considered typical of a particular social group: The patients regained the norms of everyday life after their hospitalization.

  7. [plural]standards of behaviour that are typical of or accepted within a particular group or society. social/cultural norms.

  8. A norm is an official standard or level that organizations are expected to reach. ...an agency which would establish European norms and co-ordinate national policies to halt pollution. More Synonyms of norm

  9. Definitions of norm. noun. a standard or model or pattern regarded as typical. “the current middle-class norm of two children per family” see more. noun. a statistic describing the location of a distribution. “it set the norm for American homes” synonyms: average. see more. Pronunciation. US. /nɔrm/ UK. /nɔm/ Cite this entry. Style: MLA. "Norm."

  10. Jun 6, 2016 · Norm. A mapping $x\rightarrow\lVert x\rVert$ from a vector space $X$ over the field of real or complex numbers into the real numbers, subject to the conditions: $\lVert x\rVert\geq 0$, and $\lVert x\rVert=0$ for $x=0$ only; $\lVert\lambda x\rVert=\lvert\lambda\rvert\cdot\lVert x\rVert$ for every scalar $\lambda$; $\lVert x+y\rVert\leq\lVert x ...

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