satisfies

P4233
predicate

Indicates that one entity meets, fulfills, or complies with the requirements, conditions, or expectations specified by another.

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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
Carathéodory metric triangle inequality ⓘ
Dirac spinors Dirac equation ⓘ
Affleck–Dine baryogenesis scenarios Sakharov conditions via predicate surface "satisfiesCondition" ⓘ
Kähler form dω = 0 ⓘ
Kähler form ω(X,Y) = g(JX,Y) ⓘ
Lefschetz operator sl(2)-commutation relations with its adjoint and the grading operator ⓘ
Dirac magnetic monopoles Dirac quantization condition ⓘ
’t Hooft–Polyakov monopoles
surface form: 't Hooft–Polyakov monopoles
Yang–Mills theory via predicate surface "satisfy" ⓘ
surface form: classical Yang–Mills equations
’t Hooft–Polyakov monopoles
surface form: 't Hooft–Polyakov monopoles
Higgs field equations via predicate surface "satisfy" ⓘ
Lie ring [x,[y,z]]+[y,[z,x]]+[z,[x,y]]=0 via predicate surface "satisfiesIdentity" ⓘ
Bernoulli trials p + q = 1 via predicate surface "satisfiesRelation" ⓘ
Lie derivative Leibniz rule ⓘ
Lie derivative linearity ⓘ
Lie derivative tensoriality in the direction field ⓘ
Lagrange interpolation polynomial P(x_j) = y_j for all interpolation nodes x_j ⓘ
Bloch waves Bloch periodic boundary conditions ⓘ
Hamiltonian (time translation generator) Schrödinger equation ⓘ
Hamiltonian (time translation generator) H|0⟩ = 0 or E_0|0⟩ for vacuum state (up to constant) ⓘ
Jones polynomial skein relation ⓘ
Jones polynomial multiplicativity under disjoint union up to normalization ⓘ
Jones polynomial behavior under connected sum of knots ⓘ
HOMFLY-PT polynomial skein relation ⓘ
Alexandrov–Čech cohomology Eilenberg–Steenrod axioms up to mild conditions ⓘ
Jacobi elliptic functions nonlinear differential equations via predicate surface "satisfy" ⓘ
Jacobi elliptic functions algebraic relations via predicate surface "satisfy" ⓘ
Jacobi elliptic functions addition theorems via predicate surface "satisfy" ⓘ
Jacobi symbol (ab/n)=(a/n)(b/n) ⓘ
Jacobi symbol (a/mn)=(a/m)(a/n) for odd coprime m,n ⓘ
Jacobi symbol (1/n)=1 for all odd positive n ⓘ
Jacobi symbol (0/n)=0 for all n>1 ⓘ
Jacobi symbol (-1/n)=(-1)^{(n-1)/2} ⓘ
Jacobi symbol (2/n)=(-1)^{(n^2-1)/8} ⓘ
Jacobi symbol quadratic reciprocity law ⓘ
Jacobi polynomials second-order linear differential equation ⓘ
Jacobi polynomials three-term recurrence relation in n ⓘ
Jacobi polynomials Rodrigues formula ⓘ
Jacobi bracket Leibniz-type rule with respect to pointwise product of functions ⓘ
Fresnel integrals second-order linear differential equations via predicate surface "satisfy" ⓘ
Hasse–Weil zeta function Weil conjectures ⓘ
surface form: Weil conjectures for varieties over finite fields
Boltzmann collision operator conservation of mass in collisions ⓘ
Boltzmann collision operator conservation of momentum in collisions ⓘ
Boltzmann collision operator conservation of energy in collisions ⓘ
Cauchy stress tensor Cauchy stress tensor self-linksurface differs ⓘ
surface form: Cauchy’s stress principle
Cauchy stress tensor balance of linear momentum ⓘ
Cauchy stress tensor balance of angular momentum ⓘ
Hayward black hole model regularity conditions at r = 0 ⓘ
Ayón-Beato–García regular black hole solutions Einstein field equations with nonlinear electromagnetic source ⓘ
Bardeen potential linearized Einstein equations ⓘ
Weil cohomology Poincaré duality for smooth projective varieties ⓘ
Weil cohomology Künneth isomorphism for products of varieties ⓘ