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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| List of dualities | 1/1 | https://en.wikipedia.org/wiki/List_of_dualities | reference | science, encyclopedia | 2026-05-05T08:21:20.415568+00:00 | kb-cron |
== Mathematics ==
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A.
Alexander duality Alvis–Curtis duality Artin–Verdier duality Beta-dual space Coherent duality Conjugate hyperbola De Groot dual Dual abelian variety Dual basis in a field extension Dual bundle Dual curve Dual (category theory) Dual graph Dual group Dual object Dual pair Dual polygon Dual polyhedron Dual problem Dual representation Dual q-Hahn polynomials Dual q-Krawtchouk polynomials Dual space Dual topology Dual wavelet Duality (optimization) Duality (order theory) Duality of stereotype spaces Duality (projective geometry) Duality theory for distributive lattices Dualizing complex Dualizing sheaf Eckmann–Hilton duality Esakia duality Fenchel's duality theorem Grothendieck local duality Hodge dual Isbell duality Jónsson–Tarski duality Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin duality S-duality (homotopy theory) Schur–Weyl duality Series-parallel duality Serre duality Spanier–Whitehead duality Stone's duality Tannaka–Krein duality Verdier duality
== Philosophy and religion ==
Dualism (philosophy of mind) Dualistic cosmology Epistemological dualism Soul dualism Yin and yang
== Engineering == Duality (electrical circuits) Duality (mechanical engineering) Observability/Controllability in control theory
== Physics == Babinet's principle (electromagnetism) Complementarity (physics) Dual resonance model Duality (electricity and magnetism) Englert–Greenberger duality relation Holographic duality AdS/CFT correspondence Kramers–Wannier duality Mirror symmetry 3D mirror symmetry Montonen–Olive duality Mysterious duality (M-theory) Seiberg duality String duality S-duality T-duality U-duality Wave–particle duality
== Economics and finance == Convex duality
== See also == Mechanical–electrical analogies
== References ==