generalizationOf
P2372
predicate
Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
Observed surface forms (22)
- generalizes ×75
- generalizedBy ×26
- generalization ×23
- hasGeneralization ×19
- isSpecialCaseOf ×13
- isGeneralizedBy ×6
- superclass ×5
- generalizedTo ×4
- broaderConcept ×3
- isGeneralizationOf ×3
- hasBroaderTerm ×2
- hasGeneralizations ×2
- higherLevelConcept ×2
- isHypernymOf ×2
- largelyCorrespondsTo ×2
- broadensConceptOf ×1
- broaderGrouping ×1
- canBeGeneralizedTo ×1
- hasSuperGenre ×1
- isGeneric ×1
- laterGeneralizedBy ×1
- typeOfGeneralization ×1
Sample triples (223)
| Subject | Object |
|---|---|
| Euler’s method for numerical integration | Heun’s method via predicate surface "isGeneralizedBy" ⓘ |
| Euler’s method for numerical integration | Runge–Kutta methods via predicate surface "isSpecialCaseOf" ⓘ |
| Euler’s method for numerical integration | classical fourth-order Runge–Kutta method via predicate surface "isGeneralizedBy" ⓘ |
| Euler’s method for numerical integration | higher-order Runge–Kutta methods via predicate surface "isGeneralizedBy" ⓘ |
| Euler’s method for numerical integration | improved Euler method via predicate surface "isGeneralizedBy" ⓘ |
| Euler’s method for numerical integration | linear multistep methods with one step via predicate surface "isSpecialCaseOf" ⓘ |
| Euler’s method for numerical integration | midpoint method via predicate surface "isGeneralizedBy" ⓘ |
| Euler’s polyhedron formula | Euler characteristic of topological spaces via predicate surface "generalizedBy" ⓘ |
| Euler’s polyhedron formula |
Euler’s polyhedron formula
via predicate surface "generalizedBy"
self-linksurface differs
ⓘ
surface form:
Euler–Poincaré formula
|
| Feynman path integral | classical action principle via predicate surface "generalizes" ⓘ |
| Feynman–Hellmann theorem | applications in relativistic quantum field theory via predicate surface "hasGeneralization" ⓘ |
| Feynman–Hellmann theorem | extensions to degenerate eigenvalues via predicate surface "hasGeneralization" ⓘ |
| Feynman–Hellmann theorem | extensions to multiple parameters via predicate surface "hasGeneralization" ⓘ |
| Feynman–Kac formula | backward stochastic differential equations via predicate surface "generalizedBy" ⓘ |
| Feynman–Kac formula | nonlinear Feynman–Kac formulas via predicate surface "generalizedBy" ⓘ |
| Fokker–Planck equation | classical diffusion equation via predicate surface "generalizes" ⓘ |
| Fresnel diffraction theory | geometrical optics shadow boundary description ⓘ |
| Gastropoda | Conchifera via predicate surface "superclass" ⓘ |
| Gauss map | Gauss map of hypersurfaces in higher-dimensional Euclidean spaces via predicate surface "generalization" ⓘ |
| Gauss map | normal map in Riemannian geometry via predicate surface "generalization" ⓘ |
| Gaussian integral | ∫_{−∞}^{∞} e^{−a x^2} dx = √(π/a) via predicate surface "generalization" ⓘ |
| Gauss–Bonnet theorem (early form) | Chern–Weil theory via predicate surface "hasGeneralization" ⓘ |
| Gauss–Bonnet theorem (early form) |
Chern–Weil theory
via predicate surface "hasGeneralization"
ⓘ
surface form:
higher-dimensional Gauss–Bonnet formulas
|
| Gauss–Seidel method |
Successive Over-Relaxation
via predicate surface "generalizedBy"
ⓘ
surface form:
Successive Over-Relaxation method
|
| Gell-Mann matrices | Pauli matrices to SU(3) ⓘ |
| Ginzburg–Landau theory of superconductivity | anisotropic superconductors via predicate surface "generalizedTo" ⓘ |
| Ginzburg–Landau theory of superconductivity | multicomponent superconductors via predicate surface "generalizedTo" ⓘ |
| Ginzburg–Landau theory of superconductivity | unconventional superconductors via predicate surface "generalizedTo" ⓘ |
| Girsanov theorem | change-of-measure techniques in classical probability via predicate surface "generalizes" ⓘ |
| Glicksberg fixed-point theorem |
Kakutani fixed-point theorem
via predicate surface "generalizes"
ⓘ
surface form:
Kakutani fixed-point theorem to infinite-dimensional settings
|
| Grammy Award for Best Rap Performance by a Duo or Group | popular music via predicate surface "hasSuperGenre" ⓘ |
| Gödel's incompleteness theorems | results using only simple consistency instead of ω-consistency via predicate surface "laterGeneralizedBy" ⓘ |
| Hilbert basis theorem | finiteness of ideals in principal ideal domains ⓘ |
| Hilbert’s Nullstellensatz | schematic versions in modern algebraic geometry via predicate surface "generalizedBy" ⓘ |
| Hilbert’s irreducibility theorem | classical results on irreducibility of polynomials over the rationals via predicate surface "generalizes" ⓘ |
| Hölder inequality | Cauchy–Schwarz inequality via predicate surface "generalizes" ⓘ |
| ISO 31000 | true via predicate surface "isGeneric" ⓘ |
|
Ising models
surface form:
Ising model
|
Heisenberg model via predicate surface "generalization" ⓘ |
|
Ising models
surface form:
Ising model
|
Potts model via predicate surface "generalization" ⓘ |
|
Ising models
surface form:
Ising model
|
spin glass models via predicate surface "generalization" ⓘ |
| Itô’s lemma | classical chain rule via predicate surface "generalizes" ⓘ |
|
Jensen inequality
surface form:
Jensen's inequality
|
Cauchy–Schwarz inequality in some formulations ⓘ |
|
Jensen inequality
surface form:
Jensen's inequality
|
inequality between arithmetic and geometric means ⓘ |
|
Jensen inequality
surface form:
Jensen's inequality
|
inequality between arithmetic and harmonic means ⓘ |
| Kakutani fixed-point theorem | Brouwer fixed-point theorem via predicate surface "generalizes" ⓘ |
| Kalai–Smorodinsky bargaining solution | multi-person bargaining problems via predicate surface "hasGeneralization" ⓘ |
| Karush–Kuhn–Tucker conditions | method of Lagrange multipliers via predicate surface "generalizes" ⓘ |
| Kerr metric |
Kerr–Newman black hole
via predicate surface "isGeneralizedBy"
ⓘ
surface form:
Kerr–Newman metric
|
| Kerr metric |
Schwarzschild black hole
via predicate surface "generalizes"
ⓘ
surface form:
Schwarzschild solution
|
| Kerr–Newman black hole |
Kerr metric
via predicate surface "generalizes"
ⓘ
surface form:
Kerr black hole
|