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 ?
I think that the treatment of the scalar multiplet actions in the present work may contain clues to supergravity, both considering the extra gauge invariances and the extra factors of [lambda] in the action.
1) Current theories of vision are somewhat more `Gibsonian' than when Gibson was alive, in that the importance of invariance is accepted.
There is a table that gives the numbers of transposition, inversion, and multiplication operations that will reproduce a set exactly; one that gives the same invariances with respect to the complementary set; and a series of charts that arrange the set classes with reference to each of the six interval classes (ic).