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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. Jan 3, 2021 · Linear Algebra: Norm. Math for Thought. 6.74K subscribers. Subscribed. 653. 47K views 3 years ago Linear Algebra. In this video, we discuss the idea of Norm and how it relates to vectors. 00:00...

  6. 2 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.

  7. The norm of A is the largest ratio kAxk/kxk: kAk = max kAxk . (3) x6=0 kxk. kAxk/kxk is never larger than kAk (its maximum). This says that kAxk ≤ kAk kxk. Example 1 If A is the identity matrix I, the ratios are kxk/kxk. Therefore kIk = 1. If. A is an orthogonal matrix Q, lengths are again preserved: kQxk = kxk. The ratios still give kQk = 1.

  8. 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.

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

  10. 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

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