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 |
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: satisfies
Generated description
Indicates that one entity meets, fulfills, or complies with the requirements, conditions, or expectations specified by another.
Sample triples (443)
| Subject | Object |
|---|---|
| Hermite functions | Hermite differential equation in weighted form via predicate surface "satisfy" ⓘ |
| Hermite functions | recurrence relations via predicate surface "satisfy" ⓘ |
| Hermite functions | orthogonality relations via predicate surface "satisfy" ⓘ |
| Hermite functions | completeness relations via predicate surface "satisfy" ⓘ |
| Moyal product | correspondence principle with classical mechanics ⓘ |
| Moyal product | associativity identity (f ⋆ g) ⋆ h = f ⋆ (g ⋆ h) ⓘ |
| Dirac Hamiltonian | relativistic energy-momentum relation ⓘ |
| SO(32) heterotic string theory | Green–Schwarz anomaly cancellation mechanism ⓘ |
| Witten–Reshetikhin–Turaev invariant | surgery formula ⓘ |
| Witten–Reshetikhin–Turaev invariant | Kirby calculus invariance ⓘ |
| Leray–Schauder degree | additivity property ⓘ |
| Leray–Schauder degree | excision property ⓘ |
| Leray–Schauder degree | normalization property ⓘ |
| Leray–Schauder degree | homotopy invariance property ⓘ |
| Kobayashi metric | Schwarz–Pick type inequalities ⓘ |
| Lempert function on convex domains | triangle inequality ⓘ |
| Fermat pseudoprime | Fermat's little theorem for a given base ⓘ |
| Pythagorean triples | Pythagorean theorem ⓘ |
|
Lie algebras
surface form:
Lie algebra
|
[x,x] = 0 for all x ⓘ |
|
Lie algebras
surface form:
Lie algebra
|
[x,[y,z]] + [y,[z,x]] + [z,[x,y]] = 0 ⓘ |
|
universal enveloping algebras
surface form:
universal enveloping algebra
|
universal property for Lie algebra homomorphisms into associative algebras ⓘ |
|
universal enveloping algebras
surface form:
universal enveloping algebra
|
Poincaré–Birkhoff–Witt theorem NERFINISHED ⓘ |
| Maurer–Cartan form | Maurer–Cartan equation NERFINISHED ⓘ |
| Rayleigh–Sommerfeld diffraction theory | wave equation boundary conditions ⓘ |
| Rayleigh–Sommerfeld diffraction theory | Sommerfeld radiation condition NERFINISHED ⓘ |
| Macduff | Macbeth will be killed by one not of woman born via predicate surface "fulfillsProphecy" ⓘ |
| Jesus in the New Testament | Hebrew Scriptures via predicate surface "fulfills" NERFINISHED ⓘ |
| Jesus in the New Testament | Messianic prophecies via predicate surface "fulfills" ⓘ |
| Calabi–Yau metric | Einstein field equations with zero cosmological constant in Euclidean signature ⓘ |
| Calabi–Yau metric | Monge–Ampère type equation in local coordinates ⓘ |
| de Rham cohomology | de Rham theorem NERFINISHED ⓘ |
| Bessel functions | second-order linear ordinary differential equation via predicate surface "satisfy" ⓘ |
| Poisson bracket | {f,g} = -{g,f} ⓘ |
| Poisson bracket | {af+bg,h} = a{f,h}+b{g,h} for scalars a,b ⓘ |
| Poisson bracket | {f,gh} = {f,g}h + g{f,h} ⓘ |
| Poisson bracket | {f,{g,h}} + {g,{h,f}} + {h,{f,g}} = 0 ⓘ |
| Poisson kernel | Δ_x P(x,ξ) = 0 for interior variable x ⓘ |
| Poisson kernel | lim_{x→boundary} ∫ P(x,ξ) f(ξ) dσ(ξ) = f on suitable function spaces ⓘ |
| Poisson integral | Laplace equation in the interior ⓘ |
| Poisson integral | maximum principle for harmonic functions ⓘ |
| Poisson process | N(0) = 0 almost surely ⓘ |
| Poisson process | N(t) − N(s) ~ Poisson(λ(t − s)) for t > s ⓘ |
| Bombieri norm | triangle inequality ⓘ |
| Bombieri norm | positive definiteness ⓘ |
| Bombieri norm | homogeneity ⓘ |
| Hannah, mother of the prophet Samuel | her vow to God via predicate surface "fulfills" ⓘ |
| heterotic supergravity | dH = Tr(R∧R) − Tr(F∧F) via predicate surface "satisfiesCondition" ⓘ |
| Rindler horizon | equations of null hypersurfaces in Minkowski spacetime ⓘ |
| von Neumann entropy | subadditivity ⓘ |
| von Neumann entropy | strong subadditivity ⓘ |