hasKeyResult
P70725
predicate
Indicates that an entity is associated with a specific key result it aims to achieve or is responsible for.
All labels observed (1)
| Label | Occurrences |
|---|---|
| hasKeyResult canonical | 74 |
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: hasKeyResult
Generated description
Indicates that an entity is associated with a specific key result it aims to achieve or is responsible for.
Sample triples (74)
| Subject | Object |
|---|---|
| Ars Conjectandi | formal statement of the law of large numbers for Bernoulli trials ⓘ |
| Ars Conjectandi | connection between relative frequency and theoretical probability ⓘ |
| Mécanique analytique | equations of motion derived from a variational principle ⓘ |
| Mécanique analytique | unified treatment of statics and dynamics ⓘ |
| Extrapolation, Interpolation, and Smoothing of Stationary Time Series | derivation of the Wiener filter for optimal linear estimation ⓘ |
| Extrapolation, Interpolation, and Smoothing of Stationary Time Series | characterization of optimal predictors in terms of spectral densities ⓘ |
| Extrapolation, Interpolation, and Smoothing of Stationary Time Series | conditions for existence of optimal linear filters ⓘ |
| Diophantine approximation | Dirichlet approximation theorem ⓘ |
| Diophantine approximation | Hurwitz theorem ⓘ |
| Diophantine approximation | Khintchine theorem ⓘ |
| Diophantine approximation | Jarník–Besicovitch theorem ⓘ |
| Diophantine approximation | Roth theorem ⓘ |
| Diophantine approximation |
Thue–Siegel–Roth theorem
ⓘ
linked to:
Diophantine approximation
|
| Diophantine approximation | Baker theorem on linear forms in logarithms ⓘ |
| Diophantine approximation | Subspace theorem ⓘ |
| Diophantine approximation |
Khintchine–Groshev theorem
ⓘ
linked to:
Khintchine theorem
|
| Diophantine approximation |
Minkowski convex body theorem
ⓘ
linked to:
Minkowski’s theorem on convex sets
|
| Diophantine geometry | finiteness of rational points on curves of genus greater than 1 ⓘ |
| Diophantine geometry | structure of rational points on elliptic curves as finitely generated abelian groups ⓘ |
| Elliptic Operators and Compact Groups | formula expressing equivariant index as a sum of fixed point contributions ⓘ |
| Elliptic Operators and Compact Groups | identification of equivariant index with a virtual representation of the group ⓘ |
| Elliptic Operators and Compact Groups | functorial properties of the equivariant index ⓘ |
| Elliptic Operators and Compact Groups | compatibility of equivariant index with induction and restriction of group actions ⓘ |
| Itô integral | Itô isometry ⓘ |
| Itô integral | Itô’s lemma ⓘ |
| Itô integral | martingale representation theorem ⓘ |
| Finite Operator Calculus |
classification of polynomial sequences of binomial type via delta operators
ⓘ
linked to:
Finite Operator Calculus
|
|
Non-Euclidean geometry
linked to:
Non-Euclidean Geometry
|
existence of consistent geometries with different parallel axioms ⓘ |
|
Non-Euclidean geometry
linked to:
Non-Euclidean Geometry
|
independence of Euclid's parallel postulate from other axioms ⓘ |
| theory of divergent series | Hardy’s classification of summability methods ⓘ |
| theory of divergent series | Tauberian theorems relating summability to convergence ⓘ |
| theory of divergent series | conditions for equivalence of summation methods ⓘ |
|
Lie algebra
linked to:
Lie algebras
|
Ado's theorem NERFINISHED ⓘ |
|
Lie algebra
linked to:
Lie algebras
|
Levi–Malcev decomposition NERFINISHED ⓘ |
|
Lie algebra
linked to:
Lie algebras
|
Cartan classification of complex semisimple Lie algebras NERFINISHED ⓘ |
|
Lie algebra
linked to:
Lie algebras
|
Weyl's theorem on complete reducibility NERFINISHED ⓘ |
| Liber Quartus | finiteness of class number for given discriminant ⓘ |
| Liber Quartus | law of composition of classes of forms ⓘ |
| Liber Quartus | structure of classes of forms with given discriminant ⓘ |
| Liber Quartus | conditions for representation of integers by forms ⓘ |
| Freidlin–Wentzell theory | large deviation principle for trajectories of diffusions ⓘ |
| Freidlin–Wentzell theory | asymptotics of exit time distributions ⓘ |
| Freidlin–Wentzell theory | asymptotics of invariant measures under small noise ⓘ |
| Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche | construction of a map S^3 → S^2 with all fibers circles ⓘ |
| Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche | example of nontrivial element in π_3(S^2) ⓘ |
| Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche | description of S^3 as union of linked circles (Hopf fibers) ⓘ |
| Pesin theory | Pesin entropy formula NERFINISHED ⓘ |
| Pesin theory | existence of stable and unstable manifolds for almost every point ⓘ |
| Pesin theory | absolute continuity of stable and unstable foliations ⓘ |
| Pesin theory | non-uniform hyperbolicity implies strong statistical properties ⓘ |