In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures in a one-to-one fashion...

Look up duality in Wiktionary, the free dictionary. Duality may refer to: Duality (mathematics), a mathematical concept Dual (category theory), a formalization...

Wave–particle duality Duality (mathematics) Duality (disambiguation) Dual (disambiguation) List of dualities This disambiguation page lists mathematics articles...

by Cars Dualism, a novel by Bill DeSmedt Bipartite (disambiguation) Dialectical monism Dual (disambiguation) Duality (disambiguation) Duality (electrical...

Two theories related by a duality need not be string theories. For example, Montonen–Olive duality is an example of an S-duality relationship between quantum...

category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category...

In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives...

contravariance of vectors Dual module Dual norm Duality (mathematics) Duality (projective geometry) Pontryagin duality Reciprocal lattice – dual space basis, in...

In theoretical physics, S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum...

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which...

Durban-Westville.) de Villiers, Michael, "Generalizing Van Aubel Using Duality", Mathematics Magazine 73 (4), Oct. 2000, pp. 303–307. "Rectangle". Math Is Fun...

In theoretical physics, T-duality (short for target-space duality) is an equivalence of two physical theories, which may be either quantum field theories...

of mathematical duality see more cases in Category:Duality theories Dual (grammatical number), a grammatical category used in some languages Dual county...

In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of...

In mathematics, a dual system, dual pair or a duality over a field K {\displaystyle \mathbb {K} } is a triple ( X , Y , b ) {\displaystyle (X,Y,b)} consisting...

unified by mathematical transformations called S-duality and T-duality. Witten's conjecture was based in part on the existence of these dualities and in part...

In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly...

by the concept of a dual matroid. Variations of planar graph duality include a version of duality for directed graphs, and duality for graphs embedded...

In mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced...

In mathematics, Grothendieck duality may refer to: Coherent duality of coherent sheaves Grothendieck local duality of modules over a local ring This disambiguation...

In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...

Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin...

duality and explains a very general instance thereof in detail. Probably the most general duality that is classically referred to as "Stone duality"...

In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic...

Strong duality is a condition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal. By definition...

conjugacies are the first step toward expressing the duality between space and quantity fundamental to mathematics". The (covariant) Yoneda embedding is a covariant...

In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary. Such a formulation was...

In applied mathematics, weak duality is a concept in optimization which states that the duality gap is always greater than or equal to 0. This means that...

(G^{\text{op}}\downarrow F^{\text{op}})} (see comma category) Dual object Dual (category theory) Duality (mathematics) Adjoint functor Contravariant functor Opposite...

In mathematics, Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by Pierre Cartier (1962). Given...