norm

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norm,

authoritative rule or standard by which something is judged and on that basis approved or disapproved. Examples of norms include standards of right and wrong, beauty and ugliness, and truth and falsehood. Several fields of philosophy, especially ethicsethics,
in philosophy, the study and evaluation of human conduct in the light of moral principles. Moral principles may be viewed either as the standard of conduct that individuals have constructed for themselves or as the body of obligations and duties that a particular society
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, aestheticsaesthetics
, the branch of philosophy that is concerned with the nature of art and the criteria of artistic judgment. The classical conception of art as the imitation of nature was formulated by Plato and developed by Aristotle in his Poetics,
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, and logiclogic,
the systematic study of valid inference. A distinction is drawn between logical validity and truth. Validity merely refers to formal properties of the process of inference.
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, evaluate such rules; in sociology, social and institutional norms, more communal and less formal than laws, are studied in relation to conformity, and to anomie or normlessness. See also Émile DurkheimDurkheim, Émile
, 1858–1917, French sociologist. Along with Max Weber he is considered one of the chief founders of modern sociology. Educated in France and Germany, Durkheim taught social science at the Univ. of Bordeaux and the Sorbonne.
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.

norm

a standard or rule, regulating behaviour in a social setting. The idea that social life, as an ordered and continuous process, is dependent upon shared expectations and obligations, is commonly found in sociological approaches, although some place more emphasis on it than others. For DURKHEIM, society was theorized as a moral order. This perspective was influential in the development of modern FUNCTIONALISM, particularly in the work of PARSONS, where the concept of NORMATIVE ORDER is the central element of the SOCIAL SYSTEM. Here the idea of norms is related to SOCIALIZATION and ROLES. These prescriptions operate at every level of society, from individuals actions in daily life, e.g. in table manners or classroom behaviour, to the formulation of legal systems in advanced societies. The concept of norms also implies that of SOCIAL CONTROL, i.e. positive or negative means of ensuring conformity and applying sanctions to deviant behaviour (see DEVIANCE).

Other sociological approaches deal with the issue of social order in rather different ways. In some, RULES are emphasized, rather than norms, whilst in others there is a greater emphasis on POWER and coercion.

Norm

 

(1) The minimum of something, as established by a rule or plan, for example, a time norm or sowing norm.

(2) A rule or viewpoint generally accepted in a particular social milieu; a rule of social conduct expressed in a law (legal norm).

(3) A rule or law in some branch of learning, for example, a linguistic norm.

(4) The average of something, such as a flow norm.

(5) Norm of representation, the number of deputies or delegates representing a preestablished number of voters in elective bodies or at congresses and conferences.

(6) Typographic norm, the title of a book or the name of its author, printed in small type on the first page of every printed sheet.


Norm

 

a mathematical concept that generalizes the concept of the absolute value of a number. For example, the norm of a vector x is the length of the vector and is denoted by ǀǀxǀǀ. The norm of a quaternion a + bi + cj + dk is the number a2 + b2 + c2 + d2; the norm of a matrix A is the number

and the norm of an algebraic number is the product of all the numbers conjugated with it, including the number itself. The norm is used extensively in the theory of linear spaces. We can find the norm for linear functionals in a given linear space according to the formula

and for linear operators according to the formula

norm

[nȯrm]
(mathematics)
A scalar valued function on a vector space with properties analogous to those of the modulus of a complex number; namely: the norm of the zero vector is zero, all other vectors have positive norm, the norm of a scalar times a vector equals the absolute value of the scalar times the norm of the vector, and the norm of a sum is less than or equal to the sum of the norms.
For a matrix, the square root of the sum of the squares of the moduli of the matrix entries.
For a quaternion, the product of the quaternion and its conjugate.
(metallurgy)
(petrology)
The theoretical mineral composition of a rock expressed in terms of standard mineral molecules as determined by means of chemical analyses.
(quantum mechanics)
The square of the modulus of a Schrödinger-Pauli wave function, integrated over the space coordinates and summed over the spin coordinates of the particles it describes.
The square root of this quantity.

norm

1. Maths
a. the length of a vector expressed as the square root of the sum of the square of its components
b. another name for mode
2. Geology the theoretical standard mineral composition of an igneous rock

norm

(mathematics)
A real-valued function modelling the length of a vector. The norm must be homogeneous and symmetric and fulfil the following condition: the shortest way to reach a point is to go straight toward it. Every convex symmetric closed surface surrounding point 0 introduces a norm by means of Minkowski functional; all vectors that end on the surface have the same norm then.

The most popular norm is the Euclidean norm.
References in periodicals archive ?
The effort to constrain strategic bombing through normative influences was mixed and at times completely unsuccessful, which makes it particularly well suited as an exemplar of the limits of norms and how other factors may impede or reverse norm development.
Because of these common attributes, lessons regarding norm development can be learned and a framework developed that is applicable to predicting the prospects of constraining norms as a tool to address the use of cyberweapons.
Even if militaries are not expressly required to follow norms, they nonetheless should be prepared to make more deliberate behavioral choices because of how actions inconsistent with norms will be interpreted.
Norms also provide clarity to acquirers, operators, and decisionmakers.
MoEFCC issuing clear guidelines to all the under construction TPPs starting to implement the new norms before coming online.
A cursory review of social norms research suggests that the diversity of theory and conceptualization has not extended to the methods used in the study of normative influence.
This content analysis also examines the topics studied in social norms research.
He notes, among other things, that the weapons-ban norm arose from preexisting norms that outlawed some other sorts of behavior as barbaric and that for the most part, the norm has stood despite pressure for many decades, with only rogues violating the norm--the Iraqis under Saddam Hussein, for instance.
Norms must go through all of the stages if they are to mature and become internalized.
Part I of this Essay develops the claim that fiduciary norms should
We draw attention to the importance of norm definition and contestation as the process by which norms can be formed, but also weakened.
Minister Geete says German auto giant doesn't comply with India's emission norms Volkswagen India says its cars are not equipped with defeat device