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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 rings
Local_duality
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
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)
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
Duality for Galois modules for the absolute Galois group of a non-archimedean local field
cohomology, local Tate duality (or simply local duality) is a duality for Galois modules for the absolute Galois group of a non-archimedean local field. It
Local_Tate_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
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
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
Theorem 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 ring contains
Matlis_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
mathematics, Grothendieck duality may refer to: Coherent duality of coherent sheaves Grothendieck local duality of modules over a local ring This disambiguation
Grothendieck_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
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
Dualizing_module
Isbell duality Jónsson–Tarski duality Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted
List_of_dualities
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
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)
Concept in algebraic geometry
_{R}} is a dualizing module for R {\displaystyle R} . In terms of the Matlis duality functor D ( − ) {\displaystyle D(-)} , the local duality theorem may
Local_cohomology
Local ring in commutative algebra
R with some degree shift. For a Gorenstein local ring (R, m, k) of dimension n, Grothendieck local duality takes the following form. Let E(k) be the injective
Gorenstein_ring
dualizing 1. Grothendieck local duality is a duality for cohomology of modules over a local ring. 2. Matlis duality is a duality between Artinian and Noetherian
Glossary of commutative algebra
Glossary_of_commutative_algebra
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
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)
Type of commutative ring in mathematics
scheme is Gorenstein. Thus the statements of duality theorems such as Serre duality or Grothendieck local duality for Gorenstein or Cohen–Macaulay schemes
Cohen–Macaulay_ring
Grothendieck constant Grothendieck–Katz p-curvature conjecture Grothendieck local duality Grothendieck's monodromy theorem Grothendieck's mysterious functor
List of things named after Alexander Grothendieck
List_of_things_named_after_Alexander_Grothendieck
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
Citizenship in multiple countries held by the same person
retroactive law. in the Philippines, dual citizens by naturalization cannot run for any local elective office. However, dual citizens by birth are eligible
Multiple_citizenship
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
Type of road
if dual carriageway). Local authorities have the power to apply a limit of up to 120 km/h (75 mph) as used on most motorways (The High Quality Dual Carriageway
Dual_carriageway
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
Extends Poincaré duality beyond oriented manifolds
In mathematics, the twisted Poincaré duality is a theorem removing the restriction on Poincaré duality to oriented manifolds. The existence of a global
Twisted_Poincaré_duality
Formalism in homological algebra
D_{Y}(f_{*}M)\cong f_{!}(D_{X}(M)).} Coherent duality Grothendieck local duality Image functors for sheaves Verdier duality Change of rings Gallauer, Martin (2021)
Six_operations
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
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
duality conjecture for cuspidal automorphic representations over a global field, assuming the validity of the Howe duality conjecture for all local places
Theta_correspondence
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
Construction in homological algebra
zero. global dimension bar resolution Grothendieck group Grothendieck local duality Baer, Reinhold (1934). "Erweiterung von Gruppen und ihren Isomorphismen"
Ext_functor
Exterior algebraic map taking tensors from p forms to n-p forms
a sign – see § Duality below. This particular endomorphism property of 2-forms in four dimensions makes self-dual and anti-self-dual two-forms natural
Hodge_star_operator
Formulation of holography using algebraic QFT
Algebraic holography, also sometimes called Rehren duality, is an attempt to understand the holographic principle of quantum gravity within the framework
Algebraic_holography
Partial differential equations whose solutions are instantons
either self-dual connections or anti-self-dual connections, and the equations the self-duality (SD) equations and the anti-self-duality (ASD) equations
Yang–Mills_equations
Any breed of goat that produces cashmere wool
grams of down at 15.7 μm diameter. The Inner Mongolia cashmere goat is a local dual-purpose breed with a long history. It adapts well to desert and semidesert
Cashmere_goat
Hierarchy in road traffic
or occasionally "RD". These roads vary in quality, from newly built local dual carriageways and downgraded routes nationales to winding roads that are
Road_hierarchy
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
Real numbers adjoined with a nil-squaring element
bilinear operation. The dual numbers form a commutative algebra of dimension two over the reals, and also an Artinian local ring. They are one of the
Dual_number
2022 American film by Riley Stearns
"Finnish VC firm boosts local economy with US partner XYZ Films". Nordisk Film & TV Fond. Retrieved October 30, 2020. "Interview: Dual writer-director Riley
Dual_(2022_film)
Social arrangement which only allows marriage outside a social group
enforcement mechanisms that ensure its continuity. One form of exogamy is dual exogamy, in which two groups continually intermarry with each other. In social
Exogamy
Democratic centralist principle of communist states
horizontal (local) relations across the unified state apparatus, beyond those organs under dual leadership. The SPP was placed under dual leadership on
Dual_subordination
degree of K over Qp. The Euler characteristic can be rewritten, using local Tate duality, as χ ( G K , M ) = # H 0 ( K , M ) ⋅ # H 0 ( K , M ′ ) # H 1 ( K
Local Euler characteristic formula
Local_Euler_characteristic_formula
Mobile phone with two SIM cards
brand image. Dual SIM phones are common in developing countries, especially in China, Southeast Asia and the Indian subcontinent, with local firms like
Dual_SIM
Economic concept
Dual economies are common in less developed countries, where one sector is geared towards local needs and another to the global export market. Dual economies
Dual_economy
Musical artist
debut album, Duality, was nominated for a Juno Award under the Alternative Album of the Year category in 2023. One of the songs from Duality, Silver Into
Luna_Li
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
System of state administration on a local level in Scotland
the dual system of local government, burghs (of which there were various types) often had a high degree of autonomy. Between 1890 and 1975 local government
Local_government_in_Scotland
Hindu temple dedicated to Goddess Durga (Shakta pitha) in Uttarakhand, India
also resonates with concepts from Advaita Vedanta, which emphasizes non-duality. In this framework: Shiva represents formless pure consciousness. Shakti
Surkanda_Devi
Irish politician (born 1968)
needed] After his election, Gogarty gave up his local council seat, in line with Green Party policy against dual-mandate and was succeeded by the late Fintan
Paul_Gogarty
British political party
10 in the Scottish Parliament, 1 in the Welsh Senedd, and around 3,200 local council seats. The party holds a twice yearly Liberal Democrat Conference
Liberal_Democrats_(UK)
Country in West Africa
called Cole, for rent, tribute, and trading rights, to the king of an area. Local Afro-European merchants often acted as middlemen, the Europeans advancing
Sierra_Leone
Indian political party
languages of Tamil Nadu. The party provided ₹1 lakh (US$1,000) for temples of local deities in 2016. In 2012, the AIADMK-led government announced the "Vision
All India Anna Dravida Munnetra Kazhagam
All_India_Anna_Dravida_Munnetra_Kazhagam
Mathematics of convex functions and sets
perturbation framework includes many familiar dualities as special cases, including Fenchel duality and Lagrange duality. Different choices of the perturbation
Convex_analysis
Social theory proposed by Giddens that attempts to resolve the structure-agent debate
this process "the duality of structure and agency", since both aspects are involved in using and producing social actions. The duality of structure is essentially
Structuration_theory
Method of describing higher-order polyhedra
included by Conway, but they are related to original Conway operations by duality so are included here. From here on, operations are visualized on cube seeds
Conway_polyhedron_notation
Serving in multiple public positions simultaneously
However, that type of dual mandate had virtually ceased when laws adopted in 1978 and 1980 prohibited MNAs from holding any local mandate. It is common
Dual_mandate
Multiple labor unions for the same workers
countries outlaw dual unionism in their national, state or local labor relations acts.[citation needed] Many unions also outlaw dual unionism as part
Dual_unionism
Manchu-led dynasty of China (1644–1912)
three, with local variations. County magistrates, who were graded and promoted on their ability to maintain local order, tolerated local sects and even
Qing_dynasty
Chinese automobile manufacturer
The BYD Dolphin was added to the local line-up in September 2023. All BYD models sold in Japan are adapted to local conditions by adopting the CHAdeMO
BYD_Auto
Prime Minister of the United Kingdom since 2024
within the party. His party made significant gains at the 2023 and 2024 local elections amidst a significant drop in membership in the years prior. Starmer
Keir_Starmer
Country in Southeast Asia and Oceania
influences—including Hinduism, Buddhism and later Islam—were absorbed into local societies, which introduced lasting cultural and religious influences. European
Indonesia
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
Mathematical model of magnetism
parameter g {\displaystyle g} is dual to the model with coupling parameter g − 1 {\displaystyle g^{-1}} , and establishes a duality between the ordered phase
Transverse-field_Ising_model
American rock band
It Off released their fourth EP Duality: Stories Unplugged, which contains 5 acoustic renditions of songs from Duality and one original song titled "Wild
Set_It_Off_(band)
Version 6 of the Internet Protocol
only blocks of 1,024 addresses (/22) were provided from the RIRs to a local Internet registry (LIR). Since then, all five RIRs—Asia-Pacific Network
IPv6
Naming policy; adoption of an official place name that combines two names
two names are considered equally correct but are not used as a formal duality of names.[clarification needed] Biel/Bienne in Switzerland, whose population
Dual_naming
Country in Southeast Asia
as interchangeable with Melakans. It may have specifically referred to local Malay speakers who were loyal to the Malaccan Sultan. The initial Portuguese
Malaysia
Study of vector bundles, principal bundles, and fibre bundles
called the self-duality equation, and the equation ⋆ F A = − F A {\displaystyle \star F_{A}=-F_{A}} is called the anti-self-duality equation, and solutions
Gauge_theory_(mathematics)
European political entity (800/962–1806)
valid until 1806. This development probably best symbolizes the emerging duality between emperor and realm (Kaiser und Reich), which were no longer considered
Holy_Roman_Empire
School
Arlinda Smith (December 25, 2022). "Consulate General of Japan Tours Local Dual Immersion School". Southwest Gwinnett Magazine. Retrieved November 11
International Charter Academy of Georgia
International_Charter_Academy_of_Georgia
Pre-Columbian stele
would so often undergo. The duality shown through double meaning and contour rivalry is indicative of the importance of duality in their everyday lives:
Raimondi_Stele
Group controlling representation theory
letter to A. Weil Mirković, I.; Vilonen, K. (2007), "Geometric Langlands duality and representations of algebraic groups over commutative rings", Annals
Langlands_dual_group
German mathematician (born 1958)
Artin–Verdier duality. Broadly speaking, Artin–Verdier duality, a consequence of class field theory, is an arithmetic analogue of Poincaré duality, a duality for
Christopher_Deninger
Town in Nevada, U.S.
power-production. Geyser activity at the wellhead ceased circa 1985/1986 as the local dual-flash geothermal power plant began operations. The man-made geyser at
Beowawe,_Nevada
British politician (born 1966)
2025. In May 2026, following Labour's losses in the 2026 United Kingdom local elections, West triggered the 2026 Labour Party leadership crisis and called
Catherine_West
Part of the United Kingdom
ensured Unionist control over local councils in areas where they were a minority. The UUP governments, and some UUP-dominated local authorities, discriminated
Northern_Ireland
Breed of cattle
of dual-purpose cattle suitable for both milk and meat production. It originated in Central Europe in the 19th century from cross-breeding of local stock
Fleckvieh
Hindu tradition of textual interpretation
meaning "non-" "Dvaita" (द्वैत), which means 'duality' or 'dualism'. Advaita is often translated as "non-duality," but a more apt translation is "non-secondness
Advaita_Vedanta
11th City elections in Pasig
Local elections were held in Pasig on Monday, May 12, 2025, as part of the 2025 Philippine general election. The electorate elected a mayor, a vice mayor
2025_Pasig_local_elections
Twenty One Pilots song
are written to contradict each other almost word for word, creating a duality in Joseph's personality between himself and the alter ego "Blurryface"
Fairly_Local
County and island of England
and Cowes and East Cowes flank the estuary on the northern coast. For local government purposes the island is a unitary authority area. It was historically
Isle_of_Wight
Roman god
Iānus [ˈi̯aːnʊs]) is the god of beginnings, gates, transitions, time, duality, doorways, passages, frames, and endings. He is usually depicted as having
Janus
Ethnic group of central Mexico and its civilization
sources mention a binary deity, Ometeotl, who may have been a god of the duality between life and death, male and female, and who may have incorporated
Aztecs
Theory in theoretical physics
and so arrive at the same geometry as in the dual theory. The mirror dual of this duality is another duality, which relates open strings in the B model
Topological_string_theory
Early Christian and Jewish religious systems
existentialist hermeneutics of Rudolph Bultmann. Jonas emphasized the duality between the Gnostic God and the world. Jonas concluded that Gnosticism
Gnosticism
Theory in supersymmetric gauge theory
original approach by Seiberg and Witten, holomorphy and electric-magnetic duality constraints are strong enough to almost uniquely constrain the prepotential
Seiberg–Witten_theory
In telecommunications, the term dual access has the following meanings: The connection of a user to two switching centers by separate access lines using
Dual_access
Village in Buckinghamshire, England
The village formerly straddled the A421, bypassed since 1998 by its local dual carriageway. The parish comprises about 2,300 acres (930 ha) of arable
Tingewick
2015 film by Brian Helgeland
life imprisonment in 1969. Tom Hardy plays both Reggie and Ron Kray in a dual role. The film also stars Emily Browning, David Thewlis and Christopher Eccleston
Legend_(2015_film)
Aspect of theoretical physics
incorporates various extended objects like D0, D2, D4 and D6 branes (using Hodge duality) among the D-branes (which are R {\displaystyle {\text{R}}} R {\displaystyle
Type_II_string_theory
Handheld game console
enable local multiplayer and new interactive experiences without subscriptions. On January 20, 2004, Nintendo announced that it would release a new dual-screen
Nintendo_DS
Canadian rock band
Ontario, in 1992 originally as Groundswell. Groundswell played in various local Norwood backyard parties and area establishments before disbanding in 1995
Three_Days_Grace
elliptic curves or abelian varieties, usually over local or finite fields, based on the Tate duality pairings introduced by Tate (1958, 1963) and extended
Tate_pairing
Italian tennis player (born 2002)
Darderi won the doubles category at the prestigious Banana Bowl, with local player Gustavo Heide. He had good results in Juniors, maintaining a 62–25
Luciano_Darderi
Country in northern Europe
staten) and local authorities: the latter include Regional Councils (Swedish: regioner) (renamed from county councils (landsting) in 2020) and local Municipalities
Sweden
2014 aircraft shootdown over Ukraine
Including: 1 dual Canadian-Romanian citizen Including: 1 dual German-Dutch citizen 28 passengers and 15 crew Including: 1 dual Dutch-Belgian citizen 1 dual Dutch-Israeli
Malaysia_Airlines_Flight_17
LOCAL DUALITY
LOCAL DUALITY
Girl/Female
Muslim
Loyal
Boy/Male
British, English
Loyal
Boy/Male
American, Australian, British, English, French
Faithful; True
Girl/Female
French
Loyal.
Boy/Male
Arabic
Loyal
Boy/Male
Irish Welsh
Loyal.
Boy/Male
Irish
Loyal.
Boy/Male
British, English
Loyal
Boy/Male
Irish
Loyal.
Boy/Male
Irish American Welsh
Loyal.
Boy/Male
English American French
Faithful; unswerving.
Boy/Male
Irish Welsh
Loyal.
Boy/Male
Indian
Loyal
Boy/Male
American, British, English, Italian
Loyal
Boy/Male
English American
Loyal.
Girl/Female
Arabic, Muslim
Loyal
Boy/Male
Italian Greek
Loyal.
Boy/Male
British, English
Loyal
Girl/Female
Indian
Loyal
Boy/Male
American, British, English
Loyal
LOCAL DUALITY
LOCAL DUALITY
Boy/Male
Indian, Punjabi, Sikh
Novel Victory
Surname or Lastname
English
English : patronymic for the son of a vicar or, perhaps in most cases, an occupational name for the servant of a vicar (see Vicker). In many cases it may represent an elliptical form of a topographic name. Compare Parsons.
Girl/Female
German
Little and Womanly; Female Version of Charles
Boy/Male
Australian, Biblical
High
Girl/Female
Hebrew English
God is my judge.
Boy/Male
British, Danish, English, French, German, Swedish, Teutonic
Famous Nobleman; Awe Inspiring; Noble; Famous
Surname or Lastname
English
English : ethnic name for a Celtic-speaking Briton or a Breton, from Middle English brit, bret, Old French bret (see Brett).German : from a vernacular form of the personal name Brixius (see Brice).
Girl/Female
Ukrainian
Bitter.
Boy/Male
Scandinavian Latin
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
One with Beautiful Eyes
LOCAL DUALITY
LOCAL DUALITY
LOCAL DUALITY
LOCAL DUALITY
LOCAL DUALITY
a.
Of or pertaining to a particular place, or to a definite region or portion of space; restricted to one place or region; as, a local custom.
n.
A district or local division, as of a province.
a.
Faithful; loyal.
a.
Alt. of Loral
a.
Faithful; loyal; true.
n.
A principle, practice, form of speech, or other thing of local use, or limited to a locality.
n.
A vocal sound; specifically, a purely vocal element of speech, unmodified except by resonance; a vowel or a diphthong; a tonic element; a tonic; -- distinguished from a subvocal, and a nonvocal.
v. t.
To divide according to gepgraphical sections or local interests.
a.
Uttered or modulated by the voice; oral; as, vocal melody; vocal prayer.
n.
Vocal expression; articulation; speech.
n.
A train which receives and deposits passengers or freight along the line of the road; a train for the accommodation of a certain district.
a.
Belonging to,or concerning, a focus; as, a focal point.
n.
On newspaper cant, an item of news relating to the place where the paper is published.
a.
Of or pertaining to a vowel; having the character of a vowel; vowel.
n.
A local name of the burbot.
n.
A local European measure of length. See Canna.
a.
Consisting of, or characterized by, voice, or tone produced in the larynx, which may be modified, either by resonance, as in the case of the vowels, or by obstructive action, as in certain consonants, such as v, l, etc., or by both, as in the nasals m, n, ng; sonant; intonated; voiced. See Voice, and Vowel, also Guide to Pronunciation, // 199-202.
a.
Confined to no zone or region; not local.
a.
Loyal.
n.
A man who has a right to vote in certain elections.