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...

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...

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...

formalization of mathematical duality see more cases in Category:Duality theories Dual number, a number system used in automatic differentiation Dual (grammatical...

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...

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

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

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...

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

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

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

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

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

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

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...

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

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

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...

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

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

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

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

In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex...

Wave-particle duality is the concept in quantum mechanics that quantum entities exhibit particle or wave properties according to the experimental circumstances...

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

conjugate is widely used for constructing the dual problem in optimization theory, thus generalizing Lagrangian duality. Let X {\displaystyle X} be a real topological...