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" 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 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" 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"