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

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