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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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Our results indicate that the proposed field geometry of the abBA spectrometer will be substantially immune to most systematic effects and that transport calculations using adiabatic invariants agree well with solution of the full equations of motion. They search for proportions, which they call invariants, that remain constant within a group of species. Pragmatically, they correspond to the computation of invariants, may they be object constancy, perceptual universals, cognitive invariants, identifications, namings, and so on. |
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