dualPair
P31338
predicate
Indicates that two entities form a dual pair, standing in a mathematically defined dual relationship where each is the dual counterpart of the other.
All labels observed (19)
| Label | Occurrences |
|---|---|
| dualTo | 9 |
| hasDual | 4 |
| dualPair canonical | 3 |
| isDualTo | 3 |
| areDualInPairsWith | 2 |
| dualObject | 2 |
| duality | 2 |
| hasDualObject | 2 |
| H^1DualIs | 1 |
| L1Dual | 1 |
| LInfinityDual | 1 |
| compactDual | 1 |
| dualVariables | 1 |
| dualityType | 1 |
| hasDuality | 1 |
| isRelatedByDualityTo | 1 |
| magneticDualOf | 1 |
| pairingType | 1 |
| stringCouplingInversionUnderDuality | 1 |
Sample triples (38)
| Subject | Object |
|---|---|
| Platonic solids | tetrahedron–tetrahedron ⓘ |
| Platonic solids |
Platonic solids
self-linksurface differs
ⓘ
surface form:
cube–octahedron
|
| Platonic solids |
Platonic solids
self-linksurface differs
ⓘ
surface form:
dodecahedron–icosahedron
|
| Lebesgue spaces | (L^p)* ≅ L^q for 1 < p < ∞ and 1/p + 1/q = 1 via predicate surface "duality" ⓘ |
| Lebesgue spaces | L^∞ in many standard measure spaces via predicate surface "L1Dual" ⓘ |
| Lebesgue spaces | larger than L^1 in general via predicate surface "LInfinityDual" ⓘ |
| anti-de Sitter space | conformal field theory on its boundary via predicate surface "isDualTo" ⓘ |
| Artinian module | Noetherian module via predicate surface "dualTo" ⓘ |
| Farey tessellation |
Farey tessellation
via predicate surface "hasDualObject"
self-linksurface differs
ⓘ
surface form:
Farey graph
|
| Kepler–Poinsot polyhedra | small stellated dodecahedron and great dodecahedron via predicate surface "areDualInPairsWith" ⓘ |
| Kepler–Poinsot polyhedra |
Kepler–Poinsot polyhedra
via predicate surface "areDualInPairsWith"
self-linksurface differs
ⓘ
surface form:
great stellated dodecahedron and great icosahedron
|
| Serre duality | perfect pairing of finite-dimensional k-vector spaces via predicate surface "pairingType" ⓘ |
|
Gelfand triples (rigged Hilbert spaces)
surface form:
Gelfand triple
|
continuous dual space Φ′ of Φ via predicate surface "hasDual" ⓘ |
|
Hilbert–Schmidt operators
surface form:
Hilbert–Schmidt operator
|
dual of Hilbert–Schmidt space is itself via Hilbert–Schmidt inner product via predicate surface "hasDuality" ⓘ |
| Aharonov–Casher effect | Aharonov–Bohm effect via predicate surface "isDualTo" NERFINISHED ⓘ |
| Hardy space | BMO (bounded mean oscillation) via predicate surface "H^1DualIs" ⓘ |
| SO(32) heterotic string theory | S-duality with Type I string theory via predicate surface "dualityType" ⓘ |
| SO(32) heterotic string theory | g_het = 1 / g_TypeI via predicate surface "stringCouplingInversionUnderDuality" ⓘ |
| Lie algebroid | Lie groupoid via predicate surface "hasDualObject" ⓘ |
| Klebanov–Strassler solution | SU(N+M) × SU(N) gauge theory via predicate surface "dualTo" NERFINISHED ⓘ |
| Klebanov–Strassler solution | N=1 supersymmetric gauge theory via predicate surface "dualTo" ⓘ |
| Klebanov–Strassler warped deformed conifold solution | cascading SU(N+M) × SU(N) gauge theory via predicate surface "dualTo" ⓘ |
| Klebanov–Strassler warped deformed conifold solution | N=1 supersymmetric gauge theory with confinement via predicate surface "dualTo" ⓘ |
| Klebanov–Strassler warped deformed conifold solution | gauge theory with chiral symmetry breaking via predicate surface "dualTo" ⓘ |
|
Klebanov–Tseytlin background in type IIB supergravity
surface form:
Klebanov–Tseytlin background
|
four-dimensional cascading gauge theory via predicate surface "dualTo" ⓘ |
|
Klebanov–Tseytlin background in type IIB supergravity
surface form:
Klebanov–Tseytlin background
|
SU(N+M) × SU(N) supersymmetric gauge theory via predicate surface "dualTo" ⓘ |
| Ometeotl | male and female via predicate surface "duality" ⓘ |
| Riesz basis | unique biorthogonal sequence forming a Riesz basis via predicate surface "hasDual" ⓘ |
| M2-branes | D2-branes in type IIA string theory via predicate surface "isDualTo" ⓘ |
| M5-branes | M2-branes via predicate surface "magneticDualOf" NERFINISHED ⓘ |
| Type IIA string theory | M-theory via predicate surface "isRelatedByDualityTo" NERFINISHED ⓘ |
| idèle class group | Hecke characters via predicate surface "dualObject" NERFINISHED ⓘ |
| idèle class group | Größencharacters via predicate surface "dualObject" ⓘ |
| Siegel upper half-space | Lagrangian Grassmannian of a complex symplectic vector space via predicate surface "compactDual" ⓘ |
| Hitchin fibration | Hitchin fibration for Langlands dual group via predicate surface "dualTo" NERFINISHED ⓘ |
| Kantorovich problem in optimal transport | Kantorovich dual problem via predicate surface "hasDual" NERFINISHED ⓘ |
| Kantorovich problem in optimal transport | Kantorovich potentials via predicate surface "dualVariables" NERFINISHED ⓘ |
| Galois connection | dual Galois connection obtained by order reversal via predicate surface "hasDual" ⓘ |