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 |
|---|---|
| von Neumann entropy | Araki–Lieb inequality NERFINISHED ⓘ |
| Klebanov–Strassler solution | type IIB supergravity equations of motion with fluxes ⓘ |
| Bochner integral | dominated convergence theorem (Bochner version) NERFINISHED ⓘ |
| Bochner integral | monotone convergence theorem for nonnegative scalar norms ⓘ |
| Bochner integral | Fubini theorem for Banach-valued functions NERFINISHED ⓘ |
| Jacobi theta functions | quasi-periodicity relations ⓘ |
| Jacobi theta functions | heat equation ⓘ |
| Jacobi theta functions | Jacobi triple product identity NERFINISHED ⓘ |
| Pontryagin classes | Whitney sum formula NERFINISHED ⓘ |
| Dolan–Grady relations | Onsager’s original algebraic structure for the Ising model ⓘ |
| four-momentum operator | Poincaré commutation relations NERFINISHED ⓘ |
| four-momentum operator | P^μ P_μ = m^2 for one-particle states (in units c=1) ⓘ |
| Euclidean algorithm for polynomials | gcd(a,b) divides both a and b ⓘ |
| Euclidean algorithm for polynomials | any common divisor of a and b divides gcd(a,b) ⓘ |
| modular j-invariant | j(τ) = j(γτ) for all γ in SL(2,Z) ⓘ |
| Kauffman polynomial | skein relations distinct from Jones polynomial ⓘ |
|
T:z ↦ z+1
surface form:
T : z ↦ z + 1
|
PSL(2,ℤ) = ⟨S,T | S² = 1, (ST)³ = 1⟩ via predicate surface "satisfiesRelation" ⓘ |
| Alexander–Spanier cohomology | Eilenberg–Steenrod axioms on suitable categories of spaces ⓘ |
| Baire space | Baire category theorem NERFINISHED ⓘ |
| Reiner–Rivlin fluid model | objectivity requirement ⓘ |
| Reiner–Rivlin fluid model | isotropic tensor function representation theorems ⓘ |
| Legendre polynomials | (1-x^2)y'' - 2xy' + n(n+1)y = 0 via predicate surface "satisfy" ⓘ |
| Kolmogorov–Sinai entropy | Kolmogorov–Sinai theorem NERFINISHED ⓘ |
| Hilbert symbol | product formula over all completions of a global field ⓘ |
| Gegenbauer polynomials | three-term recurrence relation via predicate surface "satisfy" ⓘ |
| Gegenbauer polynomials | second-order linear differential equation via predicate surface "satisfy" ⓘ |
| Brans–Dicke theory | weak equivalence principle ⓘ |
| Condorcet criterion | Schulze method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Ranked Pairs via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Minimax Condorcet method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Copeland method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Kemeny–Young method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Nanson method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Black's method via predicate surface "satisfiedBy" NERFINISHED ⓘ |
| Condorcet criterion | Tideman alternative methods that elect the Condorcet winner when one exists via predicate surface "satisfiedBy" ⓘ |
| Kemeny–Young method | Condorcet criterion NERFINISHED ⓘ |
| Kemeny–Young method | majority criterion (for winner selection) ⓘ |
| Kemeny–Young method | unrestricted domain (universal domain) ⓘ |
| Kemeny–Young method | Pareto efficiency NERFINISHED ⓘ |
| Kemeny–Young method | anonymity ⓘ |
| Kemeny–Young method | neutrality ⓘ |
| Kemeny–Young method | reinforcement (under some formulations) ⓘ |
| Jacobi sums | multiplicative relations with Gauss sums ⓘ |
| Jacobi sums | orthogonality-type relations for characters ⓘ |
| Jacobi sums | functional equations under complex conjugation ⓘ |
| Soddy circle | k1^2 + k2^2 + k3^2 + k4^2 = 1/2 (k1 + k2 + k3 + k4)^2 ⓘ |
| Riesz transforms | R_1^2 + … + R_n^2 = -I on suitable spaces ⓘ |
| Riesz projection | P^2 = P ⓘ |
| Riesz projection | PT = TP ⓘ |
| Riesz projection | spectrum of T|_{range(P)} lies in selected part of spectrum ⓘ |