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Topics referred to by the same term
Look up duality in Wiktionary, the free dictionary. Duality may refer to: Duality (mathematics), a mathematical concept Dual (category theory), a formalization
Duality
Topics referred to by the same term
Duality principle or principle of duality may refer to: Duality (projective geometry) Duality (order theory) Duality principle (Boolean algebra) Duality
Duality_principle
Duality for locally compact abelian groups
In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which
Pontryagin_duality
Condition in mathematical optimization
equal. By definition, strong duality holds if and only if the duality gap is equal to 0. This is opposed to weak duality (the primal problem has optimal
Strong_duality
Principle in mathematical optimization
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives
Duality_(optimization)
Connects homology and cohomology groups for oriented closed manifolds
unique orientation mod 2, Poincaré duality holds mod 2 without any assumption of orientation. A form of Poincaré duality was first stated, without proof
Poincaré_duality
General concept and operation in mathematics
instance, linear algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and
Duality_(mathematics)
2004 single by Slipknot
AllMusic said that "Duality"'s lyrics "aren't unique" to Slipknot but described it as "otherwise strong". Stylus Magazine said "Duality" had a "grindcore
Duality_(song)
Concept in optimization
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
Weak_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
Tate_duality
Division into two principles or kinds
introduce evaluative biases. Dilemma Dualism (cybernetics) Duality (electrical circuits) Duality (mathematics) List of dualities In Indian philosophy, the term
Dualism
Topics referred to by the same term
mathematical duality see more cases in Category:Duality (mathematics) Dual number, a number system used in automatic differentiation Dual (grammatical
Dual
Theorem in algebraic geometry
In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre
Serre_duality
In mathematics, Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by Pierre Cartier (1962). Given any
Cartier_duality
Theorem in algebra
In algebra, Matlis duality is a duality between Artinian and Noetherian modules over a complete Noetherian local ring. In the special case when the local
Matlis_duality
Concept in projective geometry
In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions
Duality_(projective_geometry)
Mathematical theory
In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly
Alexander_duality
Concept in quantum mechanics
Wave–particle duality is the concept in quantum mechanics that fundamental entities of the universe, like photons and electrons, exhibit particle or wave
Wave–particle_duality
Equivalence of two physical theories
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
S-duality
compare the concept of a duality to that of yin and yang, i.e. two mutually defining opposites.[citation needed] The term "duality" implies dynamic, continual
Duality_(CoPs)
Mathematical theorem in representation theory
Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear
Schur–Weyl_duality
Key concept of structuration theory
structuration theory. The basis of the duality lies in the relationship the agency has with the structure. In the duality, the agency has much more influence
Duality_of_structure
2008 studio album by The Faceless
Planetary Duality at AllMusic "The Faceless-Planetary Duality". Der Metal Krieger. February 15, 2012. Retrieved February 15, 2012. "Planetary Duality Review
Planetary_Duality
Spanier–Whitehead duality is a duality theory in homotopy theory, based on a geometrical idea that a topological space X may be considered as dual to its complement
Spanier–Whitehead_duality
2012 debut mixtape by Captain Murphy
Captain Murphy – Duality". Consequence of Sound. Retrieved December 14, 2012. Gu, Marshall (April 7, 2015). "Captain Murphy - Duality". Free City Sounds
Duality_(mixtape)
Line of gamepads developed by Sony
The DualShock (originally Dual Shock, trademarked as DUALSHOCK or DUAL SHOCK, with the PlayStation 5 version as DualSense) is a line of gamepads developed
DualShock
Theory of subatomic structure
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
String_theory
Equivalence of two physical theories
In theoretical physics, T-duality (short for target-space duality) is an equivalence of two physical theories, which may be either quantum field theories
T-duality
Conjectured duality combining S-duality and T-duality
In physics, U-duality (short for unified duality) is a symmetry of string theory or M-theory combining S-duality and T-duality transformations. The term
U-duality
Graph representing faces of another graph
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
Dual_graph
Dual pair of vector spaces
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
Dual_system
Conjecture in quantum gravity
gravity and quantum complexity theory, the complexity equals action duality (CA-duality) is the conjecture that the gravitational action of any semiclassical
CA-duality
Strong-weak duality in supersymmetric theories of theoretical physics
Montonen–Olive duality or electric–magnetic duality is the oldest known example of strong–weak duality or S-duality according to current terminology. It
Montonen–Olive_duality
Polyhedron associated with another by swapping vertices for faces
making models (of some finite portion). The concept of duality here is closely related to the duality in projective geometry, where lines and edges are interchanged
Dual_polyhedron
Relationship between certain categories
duality and explains a very general instance thereof in detail. Probably the most general duality that is classically referred to as "Stone duality"
Stone_duality
Mathematical result in convex functions theory
In mathematics, Fenchel's duality theorem is a result in the theory of convex functions named after Werner Fenchel. Let f {\displaystyle f} be a proper
Fenchel's_duality_theorem
The duality gap is zero if and only if strong duality holds. Otherwise the gap is strictly positive and weak duality holds. In general given two dual pairs
Duality_gap
Topological duality
In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary. Such a formulation was
Lefschetz_duality
Various mathematical dualites
prototypical example of Koszul duality was introduced by Joseph Bernstein, Israel Gelfand, and Sergei Gelfand. It establishes a duality between the derived category
Koszul_duality
Symmetry in statistical physics
expansion Z N ( K , L ) {\displaystyle Z_{N}(K,L)} described as duality (here Kramers-Wannier duality). With the help of the relations tanh 2 x = 2 tanh x
Kramers–Wannier_duality
Mathematical optimization concept
belong to a larger class of duality theorems in optimization. The strong duality theorem is one of the cases in which the duality gap (the gap between the
Dual_linear_program
Gopakumar–Vafa duality is a duality in string theory, hence a correspondence between two different theories, in this case between Chern–Simons theory and
Gopakumar–Vafa_duality
Adjunction between a category of co/presheaf under the co/Yoneda embedding
natural isomorphisms. Isbell duality asserts that the relationship between these two functors is an adjunction. Isbell duality is the relationship between
Isbell_duality
In mathematics, the Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis (1980)
Alvis–Curtis_duality
Duality for sheaves of k-modules over a locally compact space
mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced
Verdier_duality
Topics referred to by the same term
Dually may refer to: Dualla, County Tipperary, a village in Ireland A pickup truck with dual wheels on the rear axle DUALLy, s platform for architectural
Dually
Duality between a group and its representations
In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is
Tannaka–Krein_duality
2005 studio album by Ra
stating it to be a remastered version. Ra has sold 80,000 copies of Duality. Duality peaked at no. 137 on the Billboard 200 and no. 2 on the Heatseekers
Duality_(Ra_album)
Mathematical operation on vector bundles
In mathematics, the dual bundle is an operation on vector bundles extending the operation of duality for vector spaces. The dual bundle of a vector bundle
Dual_bundle
Association of electrical terms into pairs based on interchanging voltage and current
Y_{c}=Cs} Duality (electricity and magnetism) Duality (mechanical engineering) Dual impedance Dual graph Mechanical–electrical analogies List of dualities Belevitch
Duality_(electrical_circuits)
Theory in algebraic topology
interval, this leads to a duality between X × I {\displaystyle X\times I} and Y I {\displaystyle Y^{I}} , which then gives a duality between the reduced suspension
Eckmann–Hilton_duality
Theorem on constructible abelian sheaves over the spectrum of a ring of algebraic numbers
In mathematics, Artin–Verdier duality is a duality theorem for constructible abelian sheaves over the spectrum of a ring of algebraic numbers, introduced
Artin–Verdier_duality
Philosophical theory
the position that man is made up of dual substances. Rather, Aquinas shows us that we can acknowledge a duality within substance itself, while maintaining
Mind–body_dualism
Topics referred to by the same term
In mathematics, Grothendieck duality may refer to: Coherent duality of coherent sheaves Grothendieck local duality of modules over a local ring This disambiguation
Grothendieck_duality
One actor playing two or more roles
A dual role (also known as a double role) is an instance of one actor playing two roles in a single production. Dual roles (or a larger number of roles
Dual_role
Quebec "Other Canadian flags (Canada)". CRW Flags. Retrieved 2008-04-13. "Canadian Duality Flag". Canadian Duality. Retrieved 2008-04-13. v t e v t e
Canadian_Duality_Flag
so the Wolfe dual problem may be a nonconvex optimization problem. In any case, weak duality holds. Lagrangian duality Fenchel duality Philip Wolfe (1961)
Wolfe_duality
Class of symmetries in string theory
distance scale with a small distance scale. This type of duality is called T-duality. T-duality relates type IIA superstring theory to type IIB superstring
String_duality
based upon the categorical properties of duality for finite-dimensional vector spaces. An object admitting a dual is called a dualizable object. In this
Dual_object
Duality between FRW models and conformal field theory
Friedmann–Robertson–Walker/conformal field theory-duality or FRW/CFT duality is a conjectured duality for Friedmann–Robertson–Walker metric inspired by
FRW/CFT_duality
Cosmological dualism in Chinese philosophy
natural dualities (such as light and dark, fire and water, expanding and contracting) are thought of as physical manifestations of the duality symbolized
Yin_and_yang
Framework of superstring theory
mathematical transformations called S-duality and T-duality. Witten's conjecture was based in part on the existence of these dualities and in part on the relationship
M-theory
Range of beliefs that a person has two or more kinds of souls
world during trance-like states, sleep, delirium, death, and insanity. The duality is also seen in the healing traditions of Austronesian shamans, where illnesses
Soul_dualism
1960s American surf rock duo
The Duals were an American surf rock duo formed in Los Angeles, California, in 1961. Much of the collaboration's music capitalized on the style of music
The_Duals
Generalisations of Serre duality in mathematics
In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex
Coherent_duality
In mathematics, vector space of linear forms
contravariance of vectors Dual module Dual norm Duality (mathematics) Duality (projective geometry) Pontryagin duality Reciprocal lattice – dual space basis, in
Dual_space
Correspondence between properties of a category and its opposite
homotopy theory. In this context, the duality is often called Eckmann–Hilton duality. Adjoint functor Dual object Duality (mathematics) Opposite category Pulation
Dual_(category_theory)
Citizenship in multiple countries held by the same person
subject to taxation on worldwide income, etc.). Some countries do not permit dual citizenship or only do in certain cases (e.g., inheriting multiple nationalities
Multiple_citizenship
Principle in theoretical physics
sometimes called Maldacena duality named after the Argentinian physicist Juan Maldacena (after ref.) or gauge/gravity duality, is a conjectured relationship
Holographic_principle
channel-state duality refers to the correspondence between quantum channels and quantum states (described by density matrices). Phrased differently, the duality is
Channel-state_duality
Christian belief about biblical prophecy
The dual fulfilment of prophecy (British English) or dual fulfillment (American English) or dual prophecy or duality in prophecy or present and future
Dual_fulfillment
2016 studio album by Memorain
February 2017. "Memorain - Duality of Man". Metal Archives. Metal Archives. Retrieved 20 February 2017. "Memorain - Duality Of Man - Roar". Roar. Retrieved
Duality_of_Man
Topics referred to by the same term
Dichotomy Dilemma Dual (disambiguation) Duality (disambiguation) Monism This disambiguation page lists articles associated with the title Dualism. If an internal
Dualism_(disambiguation)
In mathematics, Esakia duality is a theorem establishing a correspondence between Heyting algebras and certain ordered topological spaces called Esakia
Esakia_duality
Political theory
of autocratic government) by the Provisional Government. A new kind of duality between the classes (proletariat and bourgeoisie) was a split noticeable
Dual_power
algebra, Grothendieck local duality is a duality theorem for cohomology of modules over local rings, analogous to Serre duality of coherent sheaves. Suppose
Grothendieck_local_duality
related areas of mathematics a dual topology is a locally convex topology on a vector space that is induced by the continuous dual of the vector space, by means
Dual_topology
Properties linking logical conjunction and disjunction
duality between conjunction and disjunction, also called the duality principle. It is the most widely known example of duality in logic. The duality consists
Conjunction/disjunction duality
Conjunction/disjunction_duality
Two fundamental and often opposing concepts
God or from the Demon. Duality with pluralism is considered a logical fallacy. Moral dualism began as a theological belief. Dualism was first seen implicitly
Dualism_in_cosmology
Hypothetical particle found in supergravity
physics, the dual graviton is a hypothetical elementary particle that is a dual of the graviton under electric–magnetic duality, as an S-duality, predicted
Dual_graviton
Polygon constructed from another
construction, each face of a dual polyhedron is the dual polygon of the corresponding vertex figure. As an example of the side-angle duality of polygons we compare
Dual_polygon
Type of road
A dual carriageway (BrE) or a divided highway (AmE) is a class of highway with carriageways for traffic travelling in opposite directions separated by
Dual_carriageway
Topics referred to by the same term
mathematics, local duality may refer to: Local Tate duality of modules over a Galois group of a local field Grothendieck local duality of modules over local
Local_duality
All magnetic phenomena have analogous electric phenomena and vice versa
"Electric–Magnetic Duality and Magnetic Monopoles" (PDF). University of Texas at Austin. Retrieved 2025-07-25. Krömer, Ralf; Haffner, Emmylou (2024-07-01). Duality in
Duality (electricity and magnetism)
Duality_(electricity_and_magnetism)
In mathematics, the dual module of a left (respectively right) module M over a ring R is the set of left (respectively right) R-module homomorphisms from
Dual_module
Term in the mathematical area of order theory
relation List of Boolean algebra topics Transpose graph Duality in category theory, of which duality in order theory is a special case The quantifiers are
Duality_(order_theory)
2021 EP by I.M
Solo Album 'Duality' LP (Official)]. Kpop Herald (in Korean). Retrieved March 30, 2023 – via Naver. C, Ruby (February 19, 2021). "I.M – 'Duality' review:
Duality_(EP)
Isbell duality Jónsson–Tarski duality Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted
List_of_dualities
Renormalization group duality in supersymmetric gauge theories
In quantum field theory, Seiberg duality, conjectured by Nathan Seiberg in 1994, is an S-duality relating two different supersymmetric QCDs. The two theories
Seiberg_duality
2014 album by Set It Off
New Pop Album, 'Duality'". MTV News. Archived from the original on November 8, 2023. Retrieved May 3, 2022. David Jeffries. "Duality". AllMusic. Retrieved
Duality_(Set_It_Off_album)
Nonconceptual awareness and interconnectedness
Dharmakaya. This reality, states King, transcends the "duality of self and not-self", the "duality of form and emptiness" and the "two poles of being and
Nondualism
Relation in quantum optics
The wave–particle duality relation, also called the Englert–Greenberger–Yasin duality relation, or the Englert–Greenberger relation, relates the visibility
Wave–particle duality relation
Wave–particle_duality_relation
Real numbers adjoined with a nil-squaring element
In algebra, the dual numbers are a quadratic algebra first introduced in the 19th century. They are expressions of the form a + bε, where a and b are real
Dual_number
British ska musical group
The Dualers are an eight-piece (or nine-piece) ska and reggae band from South East London. Initially comprising brothers Si and Tyber Cranstoun, and now
The_Dualers
canonical bundle of a smooth variety. It is used in Grothendieck local duality. A dualizing module for a Noetherian ring R is a finitely generated module M such
Dualizing_module
Topics referred to by the same term
transpose, inverse, opposite, or converse. Duality (order theory), duality principle for ordered sets Order dual (functional analysis), set of all differences
Order_dual
Computer network technique
Dual-homed or dual-homing can refer to either an Ethernet device that has more than one network interface, for redundancy purposes, or in firewall technology
Dual-homed
Natural number
smallest and the only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. The number
2
Concept from algebraic geometry
uses the dualizing sheaf on the ambient Pn to construct the dualizing sheaf on X. coherent duality reflexive sheaf Gorenstein ring Dualizing module Hartshorne
Dualizing_sheaf
1867–1918 empire in Central Europe
officially as the Austro-Hungarian Monarchy, was a multi-national constitutional dual empire in Central Europe between 1867 and 1918. A military and diplomatic
Austria-Hungary
DUALITY
DUALITY
Girl/Female
Tamil
Union of matter and soul, Non duality
Girl/Female
Indian
Union of matter and soul, Non duality
Boy/Male
Tamil
Unique, No one like him, Non duality
Girl/Female
Indian, Telugu
Oneness; Non-duality
Boy/Male
Indian
Unique, No one like him, Non duality
Girl/Female
Tamil
Adwaitha | அதà¯à®µà¯ˆà®¤à®¹
Non duality, One without second
Adwaitha | அதà¯à®µà¯ˆà®¤à®¹
Boy/Male
Indian
Unique, No one like him, Non duality
Boy/Male
Tamil
Unique, No one like him, Non duality
Boy/Male
Indian
Non duality, One without second
Girl/Female
Tamil
Union of matter and soul, Non duality
Girl/Female
Bengali, Hindu, Indian, Kannada, Sanskrit
Non Duality
Girl/Female
Indian
Union of matter and soul, Non duality
Boy/Male
Tamil
Unique, No one like him, Non duality
Boy/Male
Tamil
Unique, No one like him, Non duality
Boy/Male
Indian
Unique, No one like him, Non duality
Boy/Male
Tamil
Unique, No one like him, Non duality
Boy/Male
Tamil
Adwaita | அதà¯à®µà¯ˆà®¤à®¾
Non duality, One without second
Adwaita | அதà¯à®µà¯ˆà®¤à®¾
Boy/Male
Indian
Unique, No one like him, Non duality
Girl/Female
Indian
Non duality, One without second
Boy/Male
Indian
Unique, No one like him, Non duality
DUALITY
DUALITY
Girl/Female
Polish Czechoslovakian
A flower name.
Girl/Female
Hindu, Indian
Tender Heart
Boy/Male
Indian, Sanskrit
Fire Clad; One who is as Glorious as Fire
Boy/Male
Tamil
Vigorous
Girl/Female
Tamil
Venus, Flute, Created with immense power
Boy/Male
Hindu
Female
Italian
Feminine form of Italian Paolo, PAOLA means "small."
Boy/Male
Tamil
Lotus stem
Male
English
English surname transferred to forename use, from Middle English Jankin, JENKIN means "God is gracious."Â
Boy/Male
Tamil
Kantimoy | கஂதிமோய
Lustrous
DUALITY
DUALITY
DUALITY
DUALITY
DUALITY
n.
That which is constituted of two figures, things, or parts; two; duality.
n.
The quality or condition of being two or twofold; dual character or usage.
n.
A union of two; duality.
n.
The duality or state of being obdurate; invincible hardness of heart; obstinacy.
a.
Consisting of two; pertaining to dualism or duality.