reciprocity

  • 71Quadratic reciprocity — The law of quadratic reciprocity is a theorem from modular arithmetic, a branch of number theory, which shows a remarkable relationship between the solvability of certain quadratic equations modulo different prime moduli.Although it allows us to… …

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  • 72Cubic reciprocity — is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q) is solvable; the word reciprocity comes from the form of the main theorem, which states that …

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  • 73Artin reciprocity law — The Artin reciprocity law, established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms a central part of the global class field theory.[1] The term reciprocity law refers to a long line of… …

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  • 74Norm of reciprocity — The norm of reciprocity is the social expectation that people will respond to each other in kind returning benefits for benefits, and responding with either indifference or hostility to harms. The social norm of reciprocity often takes different… …

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  • 75Ethic of reciprocity — The ethic of reciprocity is a fundamental moral value which refers to the balance in an interactive system such that each party has both rights and duties, and the subordinate norm of complementarity states that one s rights are the other s… …

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  • 76Proofs of quadratic reciprocity — In the mathematical field of number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusual number of proofs. Several hundred proofs of the law of quadratic reciprocity have been found.Proofs that are …

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  • 77Canadian-American Reciprocity Treaty — The Canadian American Reciprocity Treaty, also known as the Elgin Marcy Treaty, was a trade treaty between the colonies of British North America and the United States. It covered raw materials and was in effect from 1854 to 1866.OriginsAfter… …

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  • 78Stanley's reciprocity theorem — In combinatorial mathematics, Stanley s reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation is satisfied by the generating function of any rational cone and the generating function of… …

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  • 79Weil reciprocity law — In mathematics, the Weil reciprocity law is a result of André Weil holding in the function field K ( C ) of an algebraic curve C over an algebraically closed field K . Given functions f and g in K ( C ), i.e. rational functions on C , then: f ((… …

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  • 80Sectoral Reciprocity — A trade agreement between two countries to reduce or eliminate trade barriers in a certain, strategic category of goods. Sectoral reciprocity is beneficial because greater openness in trade gives people access to more affordable and/or higher… …

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