identity function


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identity function

[ī′den·ə‚dē ‚fəŋk·shən]
(mathematics)
The function of a set to itself which assigns to each element the same element. Also known as identity operator.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
By implication, the enhancement of class formation by the inclusion of a meaningful stimulus can be driven by the presumed delayed identity function served by the meaningful stimulus.
(5) Let f : (X, [[tau].sub.1], [[tau].sup.*.sub.1]) [right arrow] (X, [[tau].sub.2], [[tau].sup.*.sub.2]) be the identity function. Define [[lambda].sub.1], [[mu].sub.1], and [[mu].sub.2] as follows:
By (2), the identity function [id.sub.x]: X [right arrow] X is firmly [theta]-continuous.
It is probably a good practice for relocated students to begin to develop the "buffering identity function" to a capacity that will allow them to filter "racist information" and let positive, non-racist experiences help them to regain and/or sustain their pre-relocation educational aspirations, as they rework their identities to accommodate the changes in their new school environment.
Our proposal is that the identity function denoted by the quotation marks pays attention to the form, rather than the denotation, of the node to its immediate right.
As the identity function satisfies these three properties, it will be assumed that n > 1.
Then the identity function f: X [right arrow] X is al.c.v.c.
Then the identity function f : (X, [tau]) [right arrow] (Y, [sigma]) is b-closed as well as closed but not quasi b-closed.
Moreover [id.sub.X] : X [right arrow] X denotes the identity function on X, i.e., [id.sub.X](x) = x(x [epsilon] X).
Delving into various conceptual references to build a theory of the improper name, this form of group identity functions as a tactic which contains a 'disowning-function (p 11); the improper name works against the state's 'fixing of a reference' (p 23), becoming a shield for collective or individual acts of dissent.
This identity functions to provide comfort and attempts to soften what is often angry and destructive behavior of male DID sufferers.