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 |
| fulfills | 12 |
| satisfiesRelation | 12 |
| satisfiedBy | 8 |
| fulfillsProphecy | 6 |
| satisfiesCondition | 5 |
| fulfilled | 2 |
| mustSatisfy | 2 |
| satisfiesIdentity | 2 |
| satisfiesTheory | 2 |
| maySatisfy | 1 |
| meetsFullNeed | 1 |
| satisfiesCriterion | 1 |
| satisfiesEnergyConditions | 1 |
| satisfiesStatement | 1 |
| satisfyProperty | 1 |
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 |
|---|---|
| Riesz projection | spectrum of T|_{ker(P)} lies in complement of selected part of spectrum ⓘ |
| Artin conductor | multiplicativity under induction in many cases ⓘ |
| Artin conductor | additivity on direct sums of representations ⓘ |
| Solomonoff induction | universal dominance over all computable semimeasures ⓘ |
| Solomonoff induction | asymptotic optimality in sequence prediction ⓘ |
| J.Crew Factory | shipping within the United States via predicate surface "fulfills" ⓘ |
| Cohen–Macaulay ring | Serre’s condition (S_dim R) ⓘ |
| Clifford algebra | v·v = Q(v)·1 for all vectors v via predicate surface "satisfiesRelation" ⓘ |
| Coulomb potential | Poisson equation for a point charge ⓘ |
| Coulomb potential | Laplace equation away from charges ⓘ |
| V_us | CKM unitarity relations NERFINISHED ⓘ |
| V_cs | unitarity constraints of CKM matrix ⓘ |
| V_td | CKM unitarity constraints ⓘ |
| Landau collision operator | H-theorem NERFINISHED ⓘ |
| Milne universe model | Friedmann equations with ρ = 0 and Λ = 0 ⓘ |
| Milne universe model | cosmological principle in comoving coordinates ⓘ |
| Wirtinger derivatives | linearity in the function argument ⓘ |
| Wirtinger derivatives | Leibniz rule for products ⓘ |
| Wirtinger derivatives | chain rule for compositions ⓘ |
| Zassenhaus filtration | D_{n+1}(G) ≤ D_n(G) ⓘ |
| Galois extension | fundamental theorem of Galois theory NERFINISHED ⓘ |
| Csiszár f-divergence | data processing inequality ⓘ |
|
Blaschke products
surface form:
Blaschke product
|
|B(z)| ≤ 1 for |z| < 1 ⓘ |
|
Blaschke products
surface form:
Blaschke product
|
Blaschke condition on zeros for infinite products ⓘ |
| Busemann function | triangle inequality type estimates derived from the metric ⓘ |
|
Chern–Simons forms
surface form:
Chern–Simons form
|
d(CS) = characteristic class representative ⓘ |
| Möbius function | ∑_{d|n} μ(d) = 1 if n = 1 ⓘ |
| Möbius function | ∑_{d|n} μ(d) = 0 if n > 1 ⓘ |
| Möbius function | μ * 1 = ε, where ε is the identity for Dirichlet convolution ⓘ |
| Barnes G-function | G(z)≠0 for non-integer complex z ⓘ |
| Jack polynomials | orthogonality with respect to Jack inner product ⓘ |
| Macdonald polynomials | triangularity with respect to dominance order on partitions ⓘ |
| Macdonald polynomials | Cauchy identity for Macdonald polynomials ⓘ |
| Macdonald polynomials | Pieri-type rules ⓘ |
| Macdonald polynomials | Macdonald positivity conjecture (proved) NERFINISHED ⓘ |
| Harish-Chandra c-function | functional equations under Weyl group action ⓘ |
| Hodge star operator | * * α = (−1)^{k(n−k)} α on k-forms in n dimensions ⓘ |
| Hodge star operator | is an isomorphism between k-forms and (n−k)-forms ⓘ |
| Hodge star operator | is an involution up to sign ⓘ |
| Tate cohomology | long exact sequences ⓘ |
| Tate cohomology | dimension shifting properties ⓘ |
| Drinfeld associators | pentagon equation via predicate surface "satisfy" ⓘ |
| Drinfeld associators | hexagon equations via predicate surface "satisfy" ⓘ |
| Drinfeld associators | group-like condition in a completed tensor algebra via predicate surface "satisfy" ⓘ |
| Drinfeld associators | normalization conditions (e.g., trivial constant term) via predicate surface "satisfy" ⓘ |
| Drinfeld–Jimbo quantum groups | quantum Yang–Baxter equation NERFINISHED ⓘ |
| Drinfeld–Jimbo quantum groups | q-Serre relations ⓘ |
|
Whitehead product in homotopy theory
surface form:
Whitehead product
|
graded Jacobi identity up to sign ⓘ |
|
Whitehead product in homotopy theory
surface form:
Whitehead product
|
[α,β] = −(−1)^{mn}[β,α] for α∈π_m, β∈π_n ⓘ |
| Whitehead product | graded Jacobi identity up to homotopy ⓘ |