Reciprocity
Reciprocity may refer to:
Social sciences and humanities
- The Golden Rule/ethic of reciprocity
- Norm of reciprocity, social norm of in-kind responses to the behavior of others
- Reciprocity (cultural anthropology), way of defining people's informal exchange of goods and labour
- Reciprocity (evolution), mechanisms for the evolution of cooperation
- Reciprocity (international relations), principle that favours, benefits, or penalties that are granted by one state to the citizens or legal entities of another, should be returned in kind
- Reciprocity (social and political philosophy), concept of reciprocity as in-kind positive or negative responses for the actions of others
- Reciprocity (social psychology), in-kind positively or negatively connotated responses of individuals towards the actions of others
- Ethic of reciprocity (The Golden Rule), one should treat others as one would like others to treat oneself
- Serial reciprocity, where the benefactor of a gift or service will in turn provide benefits to a third party
Natural sciences
Mathematics
- Reciprocity law in mathematics, including
- Quadratic reciprocity, a fundamental result in number theory
- cubic reciprocity, theorems that state conditions under which the congruence x3 ≡ p (mod q) is solvable
- quartic reciprocity, a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x4 ≡ 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 for algebraic curves
- Reciprocal polynomials, the coefficients of the remainder polynomial are the bits of the CRC
- 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
Theorems
Place
See also