satisfies
P4233
predicate
Indicates that one entity meets, fulfills, or complies with the requirements, conditions, or expectations specified by another.
All labels observed (18)
| Label | Occurrences |
|---|---|
| satisfies canonical | 339 |
| satisfy | 29 |
| satisfiesAxiom | 18 |
| fulfills | 12 |
| satisfiesRelation | 12 |
| satisfiedBy | 8 |
| fulfillsProphecy | 6 |
| satisfiesCondition | 5 |
| fulfilled | 2 |
| mustSatisfy | 2 |
| satisfiesIdentity | 2 |
| satisfiesTheory | 2 |
| maySatisfy | 1 |
| meetsFullNeed | 1 |
| satisfiesCriterion | 1 |
| satisfiesEnergyConditions | 1 |
| satisfiesStatement | 1 |
| satisfyProperty | 1 |
Sample triples (443)
| Subject | Object |
|---|---|
| Shannon entropy | chain rule for entropy ⓘ |
| Shannon entropy | Shannon–Khinchin axioms ⓘ |
| Triumphal Entry into Jerusalem | Zechariah 9:9 via predicate surface "fulfillsProphecy" ⓘ |
| Triumphal Entry into Jerusalem | Psalm 118:25–26 via predicate surface "fulfillsProphecy" ⓘ |
| Bekenstein–Hawking entropy | generalized second law of thermodynamics ⓘ |
| Langevin dynamics | fluctuation–dissipation theorem ⓘ |
| Maxwell's equations | Lorentz invariance ⓘ |
| Lorentz transformation | Lorentz invariance of physical laws ⓘ |
| Rényi entropy | data-processing inequality for appropriate α ⓘ |
| Tsallis entropy | generalized H-theorem in nonextensive framework ⓘ |
| Einstein tensor | \nabla_{\mu} G^{\mu}{}_{\nu} = 0 via predicate surface "satisfiesIdentity" ⓘ |
| Kerr metric | vacuum Einstein equations R_{μν} = 0 ⓘ |
| Reissner–Nordström metric | vacuum Einstein equations with electromagnetic stress-energy tensor ⓘ |
| von Neumann universe |
Zermelo–Fraenkel set theory
ⓘ
surface form:
Zermelo–Fraenkel set theory (ZF) under suitable assumptions
|
| von Neumann universe |
Zermelo–Fraenkel set theory
ⓘ
surface form:
Zermelo–Fraenkel set theory with Choice (ZFC) under suitable assumptions
|
| Flight into Egypt | Hosea 11:1 via predicate surface "fulfillsProphecy" ⓘ |
| Burial of Jesus | Isaiah 53:9 via predicate surface "fulfills" ⓘ |
| Burial of Jesus | Psalm 16:10 via predicate surface "fulfills" ⓘ |
| Dirac equation | principle of special relativity ⓘ |
| Dirac equation | Lorentz invariance ⓘ |
| Euclidean space | parallelogram law ⓘ |
| Euclidean space | Pythagorean theorem ⓘ |
| Euclidean space | triangle inequality ⓘ |
| Levi-Civita connection | metric-compatibility condition ∇g = 0 ⓘ |
| Levi-Civita connection | torsion tensor T = 0 ⓘ |
| Levi-Civita connection | Leibniz rule for covariant derivative ⓘ |
| Levi-Civita connection | linearity in vector field arguments ⓘ |
| Levi-Civita connection | tensoriality in lower argument ⓘ |
| Riemann curvature tensor | first Bianchi identity ⓘ |
| Riemann curvature tensor |
Bianchi identities
ⓘ
surface form:
second Bianchi identity
|
| Davidson College | yes via predicate surface "meetsFullNeed" ⓘ |
| Kalai–Smorodinsky bargaining solution | symmetry axiom ⓘ |
| Kalai–Smorodinsky bargaining solution | individual rationality axiom ⓘ |
| Kalai–Smorodinsky bargaining solution | Pareto efficiency axiom ⓘ |
| Kalai–Smorodinsky bargaining solution | invariance to affine transformations axiom ⓘ |
| Kalai–Smorodinsky bargaining solution | monotonicity axiom ⓘ |
| construction of the regular 17-gon with straightedge and compass | n is product of a power of 2 and distinct Fermat primes via predicate surface "satisfiesCriterion" ⓘ |
| Surreal numbers | every left element is less than every right element via predicate surface "satisfiesCondition" ⓘ |
| Conway polynomial | skein relation ∇(L₊) − ∇(L₋) = z ∇(L₀) ⓘ |
| Gell-Mann matrices | su(3) commutation relations via predicate surface "satisfy" ⓘ |
| Gell-Mann matrices |
Gell-Mann matrices
via predicate surface "satisfy"
self-linksurface differs
ⓘ
surface form:
[λ_a, λ_b] = 2 i f_{abc} λ_c
|
| Gell-Mann matrices | {λ_a, λ_b} = 4/3 δ_{ab} I + 2 d_{abc} λ_c via predicate surface "satisfy" ⓘ |
| Bardeen black hole model | weak energy condition in certain parameter ranges ⓘ |
| Bardeen black hole model | Einstein field equations with nonlinear electrodynamics source ⓘ |
| Rényi divergence | D_α(P‖Q) ≥ 0 ⓘ |
| Kerr–Newman black hole | no-hair theorem parameters mass, charge, angular momentum ⓘ |
| Riemann integral | linearity ⓘ |
| Riemann integral | additivity over intervals ⓘ |
| Riemann integral | monotonicity ⓘ |
| Riemann integral | absolute value inequality ⓘ |