Explore: Reciprocity Theorems

In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations

In combinatorial mathematics, Stanley's reciprocity theorem, named after MIT mathematician Richard P. Stanley, states that a certain functional equation

In classical electromagnetism, reciprocity refers to a variety of related theorems involving the interchange of time-harmonic electric current densities

functions Reciprocity (engineering), theorems relating signals and the resulting responses including Reciprocity (electrical networks), a theorem relating

Cubic reciprocity, theorems that state conditions under which the congruence x3 ≡ p (mod q) is solvable Quartic reciprocity, a collection of theorems in

The Artin reciprocity law, which was established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms

Reciprocity in electrical networks is a property of a circuit that relates voltages and currents at two points. The reciprocity theorem states that the

mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducing

the law of quadratic reciprocity as the "fundamental theorem" of quadratic residues. There are also a number of "fundamental theorems" that are not directly

context of Riemannian geometry. A quote from Ellis: "The core of the reciprocity theorem is the fact that many geometric properties are invariant when the