specialCaseOf
P7025
predicate
Indicates that one entity represents a more specific, exceptional, or restricted instance of the general situation, rule, or relationship expressed by another entity.
Aliases (4)
- hasSpecialCase ×19
- specialCase ×6
- specialCaseAt ×3
- exceptionToAntlers ×2
Sample triples (39)
| Subject | Object |
|---|---|
| Cervidae | Hydropotes inermis lacks antlers ("exceptionToAntlers") → |
| Cervidae | Rangifer tarandus females also grow antlers ("exceptionToAntlers") → |
| Crank–Nicolson scheme | theta-method with θ = 1/2 → |
| Euclidean space | Hilbert space → |
| Euler’s formula for complex exponentials | Euler’s identity e^{i\pi} + 1 = 0 ("hasSpecialCase") → |
| Gaussian distribution | standard normal distribution ("hasSpecialCase") → |
| Itô process | Brownian motion ("specialCase") → |
| Itô process | martingale with zero drift ("specialCase") → |
| Kullback–Leibler divergence | Csiszár f-divergence → |
| Lebesgue spaces | Hilbert space when p = 2 ("specialCase") → |
| Levi-Civita connection | metric connection → |
| Levi-Civita connection | torsion-free connection → |
| Noether's problem | Noether's problem for abelian groups ("hasSpecialCase") → |
| Noether's problem | Noether's problem for cyclic groups ("hasSpecialCase") → |
| Noether's problem | Noether's problem for dihedral groups ("hasSpecialCase") → |
| Noether's problem | Noether's problem for p-groups ("hasSpecialCase") → |
| Noether's problem | Noether's problem for symmetric groups ("hasSpecialCase") → |
| Noether's problem | Noether's problem over algebraically closed fields ("hasSpecialCase") → |
| Noether's problem | Noether's problem over the rational numbers ("hasSpecialCase") → |
| Ornstein–Uhlenbeck process | Gaussian Markov process → |
| Ornstein–Uhlenbeck process | Langevin equation → |
| Ricci flow | geometric heat flow → |
| Riemannian manifold | smooth manifold with additional structure → |
| Rényi divergence | α = 0 ("specialCaseAt") → |
| Rényi divergence | α = 1 ("specialCaseAt") → |
| Rényi divergence | α = ∞ ("specialCaseAt") → |
| Rényi entropy | collision entropy at α = 2 ("hasSpecialCase") → |
| Rényi entropy | max-entropy as α → 0 ("hasSpecialCase") → |
| Rényi entropy | min-entropy as α → ∞ ("hasSpecialCase") → |
| Smoluchowski coagulation equation | additive kernel coagulation model ("hasSpecialCase") → |
| Smoluchowski coagulation equation | constant kernel coagulation model ("hasSpecialCase") → |
| Smoluchowski coagulation equation | multiplicative kernel coagulation model ("hasSpecialCase") → |
| Steinmetz solid | intersection of two equal cylinders of radius r with perpendicular axes ("specialCase") → |
| Tucker’s lemma | discrete ham sandwich–type results ("hasSpecialCase") → |
| binomial theorem | (a + b)^2 = a^2 + 2ab + b^2 ("hasSpecialCase") → |
| binomial theorem | (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 ("hasSpecialCase") → |
| binomial theorem | (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4 ("hasSpecialCase") → |
| generalized binomial theorem | reduces to classical binomial theorem when α is a nonnegative integer ("specialCase") → |
| multinomial theorem | reduces to binomial theorem when m = 2 ("specialCase") → |