Reciprocity theorem information

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

Reciprocity theorem may refer to: Quadratic reciprocity, a theorem about modular arithmetic Cubic reciprocity Quartic reciprocity Artin reciprocity Weil...

electromagnetism Reciprocity (electrical networks), reciprocity theorem as it relates to current and voltage in electrical networks Reciprocity (network science)...

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...

Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...

Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q)...

Frobenius theorem (real division algebras) in abstract algebra characterizing the finite-dimensional real division algebras Frobenius reciprocity theorem in...

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

determinant theorem (group theory) Frobenius reciprocity theorem (group representations) Frobenius theorem (foliations) Frobenius theorem (abstract algebras)...

several theorems known as the Helmholtz theorem: Helmholtz decomposition, also known as the fundamental theorem of vector calculus Helmholtz reciprocity in...

finite groups and finite-dimensional representations, the Frobenius reciprocity theorem states that, given representations σ of H and ρ of G, the space of...

antenna when used for transmitting. This is a consequence of the reciprocity theorem of electromagnetics and is proved below. Therefore, in discussions...

hold are established by a result known as Schwarz's theorem, Clairaut's theorem, or Young's theorem. In the context of partial differential equations it...

In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity to arbitrary monic irreducible polynomials f ( x ) {\displaystyle...

In number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusually large number of proofs. Several hundred...

mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer...

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

what is called a multivariate quasi-polynomial. An Ehrhart-type reciprocity theorem will also hold for such a counting function. Counting the number...

Ehrhart polynomial (see below), all special cases of Stanley's general Reciprocity Theorem. The chromatic polynomial P ( G , n ) {\displaystyle P(G,n)} counts...

{\displaystyle c^{2}=a^{2}+b^{2}.} This theorem may have more known proofs than any other (the law of quadratic reciprocity being another contender for that...

the electromagnetic nature of light became known. The Helmholtz reciprocity theorem has been rigorously proven in a number of ways, generally making...

{\displaystyle e^{-\pi R_{12,34}/R_{s}}+e^{-\pi R_{23,41}/R_{s}}=1} The reciprocity theorem [1] tells us that R A B , C D = R C D , A B {\displaystyle R_{AB...