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

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: dualPair
Generated description
Indicates that two entities form a dual pair, standing in a mathematically defined dual relationship where each is the dual counterpart of the other.

Sample triples (38)

Subject Object
Platonic solids tetrahedron–tetrahedron ⓘ
Platonic solids cube–octahedron ⓘ
linked to: Platonic solids
Platonic solids dodecahedron–icosahedron ⓘ
linked to: Platonic solids
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 graph via predicate surface "hasDualObject" ⓘ
linked to: Farey tessellation
Kepler–Poinsot polyhedra small stellated dodecahedron and great dodecahedron via predicate surface "areDualInPairsWith" ⓘ
Kepler–Poinsot polyhedra great stellated dodecahedron and great icosahedron via predicate surface "areDualInPairsWith" ⓘ
Serre duality perfect pairing of finite-dimensional k-vector spaces via predicate surface "pairingType" ⓘ
Gelfand triple continuous dual space Φ′ of Φ via predicate surface "hasDual" ⓘ
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" ⓘ
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" ⓘ
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 four-dimensional cascading gauge theory via predicate surface "dualTo" ⓘ
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" ⓘ
Type IIA string theory M-theory via predicate surface "isRelatedByDualityTo" ⓘ
idèle class group Hecke characters via predicate surface "dualObject" ⓘ
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" ⓘ
linked to: Hitchin fibration
Kantorovich problem in optimal transport Kantorovich dual problem via predicate surface "hasDual" ⓘ
linked to: Kantorovich duality
Kantorovich problem in optimal transport Kantorovich potentials via predicate surface "dualVariables" ⓘ
linked to: Kantorovich duality
Galois connection dual Galois connection obtained by order reversal via predicate surface "hasDual" ⓘ