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 |
|---|---|
| Riemann hypothesis |
Selberg class
via predicate surface "hasGeneralization"
ⓘ
surface form:
grand Riemann hypothesis
|
| Riemann integral | area under a curve ⓘ |
| Riemann integral | finite sums ⓘ |
| Riemann mapping theorem | existence of conformal maps from simply connected domains to canonical domains ⓘ |
| Riemann sums | Riemann–Stieltjes sums via predicate surface "generalization" ⓘ |
| Riemann sums | multiple Riemann sums for multivariable integration via predicate surface "generalization" ⓘ |
|
Riemann surfaces
surface form:
Riemann surface
|
branched coverings of the complex plane via predicate surface "generalizes" ⓘ |
|
Riemann surfaces
surface form:
Riemann surface
|
open subsets of the complex plane via predicate surface "generalizes" ⓘ |
| Riemann zeta function | Dedekind zeta functions via predicate surface "generalization" ⓘ |
| Riemann zeta function | Dirichlet L-functions via predicate surface "generalization" ⓘ |
| Riemann zeta function |
Hasse–Weil zeta function
via predicate surface "generalization"
ⓘ
surface form:
Hasse–Weil L-functions
|
|
Riemannian manifolds
surface form:
Riemannian manifold
|
Euclidean space via predicate surface "generalizes" ⓘ |
|
Riemannian manifolds
surface form:
Riemannian manifold
|
curved surfaces via predicate surface "generalizes" ⓘ |
| Riemann–Hurwitz formula | Euler characteristic multiplicativity for unramified coverings ⓘ |
| Riemann–Lebesgue lemma |
Riemann–Lebesgue lemma
via predicate surface "generalization"
self-linksurface differs
ⓘ
surface form:
Riemann–Lebesgue lemma on locally compact abelian groups
|
| Riemann–Liouville integral | Cauchy formula for repeated integration via predicate surface "generalizes" ⓘ |
| Riemann–Liouville integral | n-fold repeated integral via predicate surface "generalizes" ⓘ |
| Riemann–Roch theorem | Grothendieck–Riemann–Roch theorem via predicate surface "generalizedBy" ⓘ |
| Riemann–Roch theorem | Hirzebruch–Riemann–Roch theorem via predicate surface "generalizedBy" ⓘ |
| Riemann–Roch theorem |
Grothendieck–Riemann–Roch theorem
via predicate surface "generalizedBy"
ⓘ
surface form:
Riemann–Roch theorem for higher-dimensional varieties
|
| Riemann–Siegel formula | Riemann–Siegel type formulas for Dirichlet L-functions via predicate surface "generalization" ⓘ |
| Riemann–Siegel formula | Riemann–Siegel type formulas for automorphic L-functions via predicate surface "generalization" ⓘ |
| Rogers–Ramanujan-type identities | Rogers–Ramanujan identities via predicate surface "generalizes" NERFINISHED ⓘ |
| Rényi divergence | Kullback–Leibler divergence via predicate surface "generalizes" ⓘ |
| Rényi entropy | Shannon entropy via predicate surface "generalizes" ⓘ |
| Sapper Tab | military decoration via predicate surface "higherLevelConcept" ⓘ |
| Sapper Tab | military insignia via predicate surface "higherLevelConcept" GENERATED ⓘ |
| Schwarzschild black hole |
Schwarzschild black hole
via predicate surface "isSpecialCaseOf"
self-linksurface differs
ⓘ
surface form:
Kerr black hole with zero spin
|
| Schwarzschild black hole | Reissner–Nordström black hole with zero charge via predicate surface "isSpecialCaseOf" ⓘ |
| Schwarzschild criterion | Ledoux criterion via predicate surface "isSpecialCaseOf" ⓘ |
| Schwarzschild radius | Newtonian escape velocity condition ⓘ |
| Shannon entropy | Hartley entropy via predicate surface "generalizes" ⓘ |
| Shannon entropy | Rényi entropy via predicate surface "isSpecialCaseOf" ⓘ |
| Shannon entropy | Tsallis entropy via predicate surface "isSpecialCaseOf" ⓘ |
| Stefan–Boltzmann law | radiant exitance of a real surface is M = ε σ T^4 via predicate surface "generalization" ⓘ |
| Steinmetz solid | intersection of more than two mutually perpendicular cylinders ⓘ |
| Steinmetz’s law of hysteresis |
Steinmetz’s law of hysteresis
via predicate surface "generalizedBy"
self-linksurface differs
ⓘ
surface form:
generalized Steinmetz equation
|
| Steinmetz’s law of hysteresis |
Steinmetz’s law of hysteresis
via predicate surface "generalizedBy"
self-linksurface differs
ⓘ
surface form:
improved generalized Steinmetz equation
|
| Surreal numbers | Dedekind-complete ordered fields via predicate surface "generalizes" ⓘ |
| Tomonaga–Schwinger equation |
Schrödinger equation
ⓘ
surface form:
time-dependent Schrödinger equation
|
| Tsallis entropy | Shannon entropy via predicate surface "generalizes" ⓘ |
| Tucker’s lemma | Ky Fan’s lemma via predicate surface "generalizedBy" ⓘ |
| Ulam spiral | alternative starting points and orientations via predicate surface "generalization" ⓘ |
| Ulam spiral | color-coding composites and primes via predicate surface "generalization" ⓘ |
| Ulam spiral | higher-dimensional prime spirals via predicate surface "generalization" ⓘ |
| Ulam stability | Hyers–Ulam–Rassias stability via predicate surface "generalizedBy" ⓘ |
| Whitney approximation theorem | approximation of continuous functions on subsets of Euclidean space by smooth functions via predicate surface "generalizes" ⓘ |
| Whitney embedding theorem | the fact that smooth curves embed in R^3 via predicate surface "generalizes" ⓘ |
| Whitney embedding theorem | the fact that smooth surfaces embed in R^5 via predicate surface "generalizes" ⓘ |
| Wick’s theorem |
Wick’s theorem
via predicate surface "generalizedBy"
self-linksurface differs
ⓘ
surface form:
Wick’s theorem for Grassmann fields
|