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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.
Norm map, a map from a pointset into the ordinals inducing a prewellordering Norm group , a group in class field theory that is the image of the multiplicative group of a field Norm function, a term in the study of Euclidean domains , sometimes used in place of "Euclidean function"
A social norm is a shared standard of acceptable behavior by a group. [1] Social norms can both be informal understandings that govern the behavior of members of a ...
A convention influences a set of agreed, stipulated, or generally accepted standards, social norms, or other criteria, often taking the form of a custom.. In physical sciences, numerical values (such as constants, quantities, or scales of measurement) are called conventional if they do not represent a measured property of nature, but originate in a convention, for example an average of many ...
Suppose a vector norm ‖ ‖ on and a vector norm ‖ ‖ on are given. Any matrix A induces a linear operator from to with respect to the standard basis, and one defines the corresponding induced norm or operator norm or subordinate norm on the space of all matrices as follows: ‖ ‖, = {‖ ‖: ‖ ‖ =} = {‖ ‖ ‖ ‖:} . where denotes the supremum.
The concept of normalization can be found in the work of Michel Foucault, especially Discipline and Punish, in the context of his account of disciplinary power.As Foucault used the term, normalization involved the construction of an idealized norm of conduct – for example, the way a proper soldier ideally should stand, march, present arms, and so on, as defined in minute detail – and then ...
The action orientation of such norms is less obvious than in the case of a command or permission, but is essential for understanding the relevance of issuing such norms: When a folk song becomes a "national anthem" the meaning of singing one and the same song changes; likewise, when a piece of land becomes an administrative region, this has ...
A norm in this sense means a standard for evaluating or making judgments about behavior or outcomes. "Normative" is sometimes also used, somewhat confusingly, to mean relating to a descriptive standard: doing what is normally done or what most others are expected to do in practice.