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 |
|---|---|
| Wightman correlation functions | cluster decomposition property ⓘ |
| Wightman correlation functions | translation invariance ⓘ |
| Wightman correlation functions | Lorentz invariance ⓘ |
| Brownian filtration | F_s subset F_t for s ≤ t ⓘ |
| Brownian filtration | usual conditions after augmentation ⓘ |
| C*-algebras | C*-identity ||a||^2 = ||a* a|| via predicate surface "satisfiesAxiom" ⓘ |
| C*-algebras | ||a*|| = ||a|| via predicate surface "satisfiesAxiom" ⓘ |
| C*-algebras | (ab)* = b* a* via predicate surface "satisfiesAxiom" ⓘ |
| C*-algebras | (a + b)* = a* + b* via predicate surface "satisfiesAxiom" ⓘ |
| C*-algebras | (λa)* = \/bar{λ} a* for λ in ℂ via predicate surface "satisfiesAxiom" ⓘ |
| f(R) gravity | Dolgov–Kawasaki stability condition in viable models via predicate surface "mustSatisfy" ⓘ |
| f(R) gravity | positivity of effective gravitational coupling in viable models via predicate surface "mustSatisfy" ⓘ |
| Weyl tensor | same index symmetries as Riemann tensor ⓘ |
| Weyl tensor | Bianchi identities ⓘ |
| Plücker coordinates |
Plücker coordinates
via predicate surface "satisfy"
self-linksurface differs
ⓘ
surface form:
Plücker relations
|
| Stratonovich integral | classical chain rule of calculus ⓘ |
| Stratonovich integral | ordinary change-of-variables formula ⓘ |
| Euler products for automorphic L-functions | Euler product factorization over all places ⓘ |
| Euler products for automorphic L-functions | multiplicativity of local factors ⓘ |
| Euler products for automorphic L-functions | analytic continuation conjecturally ⓘ |
| Euler products for automorphic L-functions | functional equation conjecturally ⓘ |
| Daubechies wavelets | orthonormality conditions ⓘ |
| Daubechies wavelets | two-scale relation ⓘ |
|
Hadamard matrices
surface form:
Hadamard matrix
|
H H^T = n I_n for an n×n Hadamard matrix H ⓘ |
| Hadamard’s example of ill-posed problems | existence of formal solutions ⓘ |
| Itô integral | isometry property ⓘ |
| Itô integral | martingale property ⓘ |
| Ramanujan tau function | Hecke multiplicativity relations ⓘ |
| Ramanujan tau function |
Ramanujan–Petersson conjecture
ⓘ
surface form:
Ramanujan–Petersson conjecture (proved by Deligne)
|
| Ramanujan tau function | functional equation of weight 12 cusp form L-function ⓘ |
|
L-functions
surface form:
L-function
|
functional equation relating s and 1-s ⓘ |
| stress–energy tensor | local conservation of energy–momentum ⓘ |
| Nordström's scalar theory of gravitation | equivalence principle in a limited sense ⓘ |
| Leptogenesis | Sakharov conditions via predicate surface "satisfiesCondition" ⓘ |
| Rota–Baxter algebra | Rota–Baxter identity ⓘ |
| Einstein static universe |
Einstein field equations
ⓘ
surface form:
Einstein field equations with cosmological constant
|
| Henkin construction | witness property for existential formulas ⓘ |
| Dirichlet characters | χ(mn) = χ(m)χ(n) ⓘ |
| Dirichlet characters | χ(n + kN) = χ(n) for all integers k ⓘ |
| Dirichlet characters | χ(n) = 0 if gcd(n,N) > 1 ⓘ |
| Dirichlet characters | χ(1) = 1 ⓘ |
| Battle of Ramoth-gilead | prophecy of Ahab’s death via predicate surface "fulfills" ⓘ |
| New Covenant | Old Testament covenant promises via predicate surface "fulfills" ⓘ |
| Maclaurin spheroid | hydrostatic equilibrium ⓘ |
| Riemann ellipsoid | Euler equations for an incompressible rotating fluid (in the classical idealization) ⓘ |
| Riemann ellipsoid | Poisson equation for the gravitational potential ⓘ |
| p-adic numbers | ultrametric inequality ⓘ |
| Henselian ring | Hensel’s lemma NERFINISHED ⓘ |
| Henselization | Hensel's lemma ⓘ |
| Transfiguration of Jesus | Old Testament prophecy via predicate surface "fulfills" ⓘ |