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
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