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invariant |
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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.
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