generalizationOf
P2372
predicate
Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
All labels observed (30)
| Label | Occurrences |
|---|---|
| generalizes | 742 |
| generalizationOf canonical | 334 |
| hasGeneralization | 185 |
| generalizedBy | 163 |
| isSpecialCaseOf | 102 |
| generalization | 83 |
| generalizedTo | 66 |
| superclass | 61 |
| broaderConcept | 32 |
| isGeneralizationOf | 21 |
| isGeneralizedBy | 16 |
| broaderGrouping | 14 |
| canBeGeneralizedTo | 13 |
| generalize | 12 |
| isGeneric | 9 |
| hasGeneralizations | 7 |
| largelyCorrespondsTo | 7 |
| hasBroaderTerm | 6 |
| hasBroaderConcept | 4 |
| higherLevelConcept | 4 |
| hasSuperGenre | 2 |
| isHypernymOf | 2 |
| istÜbergeordnetBegriffVon | 2 |
| Oberbegriff | 1 |
| broadensConceptOf | 1 |
| generalizationTarget | 1 |
| generalizedFrom | 1 |
| isGeneralizedIn | 1 |
| laterGeneralizedBy | 1 |
| typeOfGeneralization | 1 |
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: generalizationOf
Generated description
Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
Sample triples (1,894)
| Subject | Object |
|---|---|
| Markov semigroup | discrete-time Markov chain transition operators via predicate surface "generalizes" ⓘ |
| Markov semigroup | continuous-time Markov chain transition matrices via predicate surface "generalizes" ⓘ |
| Voronin universality theorem | universality theorems for Dirichlet L-functions via predicate surface "generalizedBy" ⓘ |
| Voronin universality theorem | universality theorems for automorphic L-functions via predicate surface "generalizedBy" ⓘ |
|
Dedekind zeta functions
surface form:
Dedekind zeta function
|
Riemann zeta function via predicate surface "generalizes" ⓘ |
| Hurwitz space | classical Hurwitz schemes via predicate surface "generalizes" ⓘ |
| Hurwitz bound on automorphism groups of curves | bounds on automorphism groups of algebraic curves over fields of characteristic zero ⓘ |
| Hurwitz bound on automorphism groups of curves | bounds on automorphism groups of curves in positive characteristic via predicate surface "hasGeneralization" ⓘ |
| Hurwitz bound on automorphism groups of curves | Arakelov-type inequalities for families of curves via predicate surface "hasGeneralization" ⓘ |
| Lefschetz fixed-point theorem | Brouwer fixed-point theorem ⓘ |
| Lefschetz fixed-point theorem | Euler characteristic formula for fixed points ⓘ |
| Grothendieck–Ogg–Shafarevich formula | classical conductor–discriminant relations via predicate surface "generalizes" ⓘ |
|
Satisfiability Modulo Theories (SMT)
surface form:
Satisfiability Modulo Theories
|
Boolean satisfiability problem via predicate surface "generalizes" ⓘ |
| Potts model |
Ising models
via predicate surface "generalizes"
ⓘ
surface form:
Ising model
|
| Valenciidae | Osteichthyes via predicate surface "superclass" ⓘ |
| Yang monopole |
Dirac magnetic monopoles
via predicate surface "generalizes"
ⓘ
surface form:
Dirac monopole
|
| Huet unification algorithm | first-order unification via predicate surface "generalizes" ⓘ |
| Dehn surgery | lens space construction from surgery on the unknot via predicate surface "generalizes" ⓘ |
| Dehn twist | multitwist via predicate surface "generalization" ⓘ |
| Dehn twist |
Dehn twist
via predicate surface "generalization"
self-linksurface differs
ⓘ
surface form:
fractional Dehn twist
|
| Dehn invariant | additive angle-length invariants for polygons in the plane ⓘ |
| h-cobordism theorem | Poincaré conjecture in higher dimensions ⓘ |
| Milnor fibration | non-isolated singularities via predicate surface "hasGeneralization" ⓘ |
| Milnor fibration | real analytic singularities via predicate surface "hasGeneralization" ⓘ |
| Milnor fibration | stratified Morse theory via predicate surface "hasGeneralization" ⓘ |
| Milnor number | Milnor number of complete intersection singularities via predicate surface "generalization" ⓘ |
| Milnor number | Lê numbers via predicate surface "generalization" ⓘ |
| Milnor number | Bruce–Roberts number via predicate surface "generalization" ⓘ |
| Milnor K-theory | classical K_1 of a field via predicate surface "generalizes" ⓘ |
| Milnor–Wood inequality | Burger–Iozzi–Wienhard inequalities for higher rank groups via predicate surface "generalizedBy" ⓘ |
| Deligne–Lusztig theory | classical character theory of finite groups via predicate surface "generalizes" ⓘ |
| Deligne cohomology | Picard group with connection via predicate surface "generalizes" ⓘ |
| brachistochrone problem | brachistochrone in non-uniform gravitational fields via predicate surface "generalization" ⓘ |
| brachistochrone problem | relativistic brachistochrone problem via predicate surface "generalization" ⓘ |
| Gelfand representation of commutative C*-algebras | classical representation of continuous functions on compact spaces via predicate surface "generalizes" ⓘ |
| Gelfand transform | Fourier transform on abelian groups in an abstract sense ⓘ |
|
Gelfand triples (rigged Hilbert spaces)
surface form:
Gelfand triple
|
Hilbert space framework for quantum mechanics via predicate surface "generalizes" ⓘ |
| Second Keeper of the Robes | household offices of the British sovereign via predicate surface "hasBroaderConcept" ⓘ |
| Second Keeper of the Robes | ceremonial offices in monarchies via predicate surface "hasBroaderConcept" ⓘ |
| Second Keeper of the Robes | royal wardrobe officials via predicate surface "hasBroaderConcept" ⓘ |
| Fitting subgroup | generalized Fitting subgroup extends F(G) by including components via predicate surface "generalization" ⓘ |
| Fitting lemma | decomposition of a linear operator into nilpotent and invertible components on invariant subspaces via predicate surface "generalizes" ⓘ |
| Fitting ideal | Fitting invariant of a module via predicate surface "hasGeneralization" ⓘ |
| Fitting series | Fitting subgroup via predicate surface "generalizes" ⓘ |
|
Isserlis’ theorem in probability theory
surface form:
Isserlis’ theorem
|
formula for the fourth moment of a Gaussian variable ⓘ |
|
Isserlis’ theorem in probability theory
surface form:
Isserlis’ theorem
|
expression of fourth-order moments via covariances ⓘ |
| Dyson’s formula | exponential of a time-dependent operator with non-commuting values via predicate surface "generalizes" ⓘ |
| Feynman propagator | time-ordered n-point Green's functions (for n=2) via predicate surface "isSpecialCaseOf" ⓘ |
| monotone convergence theorem |
dominated convergence theorem
via predicate surface "isSpecialCaseOf"
ⓘ
surface form:
Lebesgue dominated convergence theorem (with monotone domination)
|
| dominated convergence theorem | bounded convergence theorem on finite measure spaces ⓘ |