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
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"