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Reciprocity
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==Mathematics== * [[Reciprocity law]] (law of reciprocity) in mathematics, including ** [[Quadratic reciprocity]], a fundamental result in number theory ** [[Cubic reciprocity]], theorems that state conditions under which the congruence {{nowrap|''x''<sup>3</sup> β‘ ''p'' (mod ''q'')}} is solvable ** [[Quartic reciprocity]], a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence {{nowrap|''x''<sup>4</sup> β‘ ''p'' (mod ''q'')}} is solvable ** [[Artin reciprocity law]], a general theorem in number theory that provided a partial solution to Hilbert's ninth problem ** [[Reciprocity relation]] or ''exact differential'', a mathematical differential of the form ''dQ'', for some differentiable function ''Q'' * [[Weil reciprocity law]] * [[Mathematics of CRC#Reciprocal polynomials|Reciprocal polynomials]], the coefficients of the remainder polynomial are the bits of the CRC * [[Reciprocal square root#Iterative methods for reciprocal square roots|Reciprocal square root]] * [[Reciprocity (projective geometry)]], a collineation from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and preserving incidence * [[Frobenius reciprocity]], from group representation theory * Reciprocity law for [[Dedekind sums]] * [[Stanley's reciprocity theorem]], states that a certain functional equation is satisfied by the generating function of any rational cone and the generating function of the cone's interior * [[Hermite reciprocity]] for invariants of binary forms.
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