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invariant
(redirected from Invariances)

    Also found in: Dictionary/thesaurus, Legal, Wikipedia 0.01 sec.
invariant [in′ver·ē·ənt]
(mathematics)
An elementxof a setEis said to be invariant with respect to a groupGof mappings acting onEifg(x) =xfor allginG.
A subsetFof a setEis said to be invariant with respect to a groupGof mappings acting onEifg(x) is inFfor allxinFand allginG.
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.
(programming)invariant - 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.


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