invariant

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invariant

[in′ver·ē·ənt]
(mathematics)
An element x of a set E is said to be invariant with respect to a group G of mappings acting on E if g (x) = x for all g in G.
A subset F of a set E is said to be invariant with respect to a group G of mappings acting on E if g (x) is in F for all x in F and all g in G.
For an algebraic equation, an expression involving the coefficients that remains unchanged under a rotation or translation of the coordinate axes in the cartesian space whose coordinates are the unknown quantities.

invariant

(programming)
A rule, such as the ordering of an ordered list or heap, that applies throughout the life of a data structure or procedure. Each change to the data structure must maintain the correctness of the invariant.
References in periodicals archive ?
18) Note that this conclusion extends to any view that invariantly relates "ought" to a body of information that includes information not available to the agent, even if it is not the body of all true propositions.
infinity]] (S) is invariantly complemented if and only if [perpendicular to]X has a bounded right approximate identity.
Neither was the choice to go on painting when painting as such, invariantly as to any distinction between abstraction and realism, became a political matter in the 1970s.
Gustafsson and Undheim (1996) argued that if Gf (as a broad ability) is set equal to G, this should make it possible to identify a G factor that is as invariantly defined as is Gf.
Y may be predicted on the basis of x because the two have been designated as invariantly associated.
Thus, it is uncertainty about the number of future interactions, which one will have with a particular person, which can salvage (M) from invariantly prescribing non-cooperative behavior, when only selfish interests are taken into account.
Since the raised arm is invariantly present, these performative differences [on Christ's part] must be explained through variations in context, and while it may be true context alone will not constitute the differences and that we must invoke Christ's intentions and purposes, still, we cannot overestimate the extent to which context penetrates purpose.
With respect to college programs that might intervene to increase the social integration and achievements of low income students, Dougherty (1992) observes that community college social relations are so invariantly low that they are unlikely to have any effect on the limited academic success of large numbers of students (Grubb, 1991; McGrath & Spear, 1991; Mow & Nettles, 1990).
5 are invariantly mapped to that value, the only possible value for n is 1, permitting only the identity transformation.
Nine of the 41 (22 per cent) subjects invariantly opted for \$5/\$5 splits in all five cases.
11) Eventually he was able to determine a differential equation whereby the relationship that held invariantly over all similar situations could be defined and explained.
Thus, by itself C cannot qualify as a cause of E, and in specifying a factor which does invariantly increase the chance of E across all relevant background contexts we must also specify that any such competing sufficient cause S is absent.

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