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
Bondi mass Bondi mass loss formula NERFINISHED
Tutte polynomial deletion–contraction recurrence
Tutte polynomial duality T_G(x,y)=T_{G*}(y,x) for planar dual G*
Painlevé transcendents Painlevé equations via predicate surface "satisfy" NERFINISHED
Painlevé transcendents nonlinear second-order ordinary differential equations via predicate surface "satisfy"
Dyson Brownian motion system of coupled stochastic differential equations
Wigner matrices Wigner semicircle law for empirical spectral distribution
Wigner matrices universality of local eigenvalue statistics under mild moment conditions
Wigner matrices concentration of spectral norm around 2 in the normalized case
Möbius transformations
surface form: Möbius transformation
ad − bc ≠ 0 via predicate surface "satisfiesCondition"
Artin L-functions Euler product expansion for Re(s) > 1 via predicate surface "satisfy"
Artin L-functions Artin formalism via predicate surface "satisfy" NERFINISHED
Artin L-functions growth conditions in vertical strips under standard conjectures via predicate surface "satisfy"
Riemann–Liouville derivative linearity
Riemann–Liouville derivative semigroup property for fractional integrals
Hurwitz surfaces
surface form: Hurwitz surface
Hurwitz bound
R-matrix Yang–Baxter equation NERFINISHED
R-matrix unitarity conditions in many physical models
R-matrix crossing symmetry in many integrable field theories
Hecke algebra quadratic relation depending on q via predicate surface "satisfiesRelation"
Hecke algebra braid relations via predicate surface "satisfiesRelation"
BPST instanton Yang–Mills equations of motion in Euclidean space
van Kampen diagram each 2-cell boundary label is a relator or its inverse
van Kampen diagram edge labels are consistent on adjacent faces
van Kampen diagram outer boundary label is the given word
Steenrod operations naturality with respect to continuous maps
Steenrod operations stability with respect to suspension
Steenrod operations Cartan formula for products NERFINISHED
Steenrod operations Adem relations among operations
Hurewicz homomorphism naturality with respect to maps of spaces
Hurewicz homomorphism compatibility with suspension
NRA Basic Pistol Course training requirement for some state concealed carry permits via predicate surface "maySatisfy"
mixed Hodge structures
surface form: mixed Hodge structure
Hodge symmetry on graded pieces
mixed Hodge structures
surface form: mixed Hodge structure
Hodge decomposition on graded pieces
Chow groups localization exact sequence
Chow groups homotopy invariance for vector bundles
Chow groups projection formula
Chow groups base change formula
GNS construction φ(a)=⟨π_φ(a)ξ_φ,ξ_φ⟩ for all a in A
Brenier map Monge–Ampère equation in suitable settings
Brenier map cyclical monotonicity of its graph
Hurwitz group |G| = 84(g-1) for some compact Riemann surface of genus g ≥ 2
Bernstein–Sato polynomial functional equation with differential operator P(s)