hasKeyResult

P70725

predicate

Indicates that an entity is associated with a specific key result it aims to achieve or is responsible for.

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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	Diophantine approximation self-linksurface differs ⓘ surface form: Thue–Siegel–Roth theorem
Diophantine approximation	Baker theorem on linear forms in logarithms ⓘ
Diophantine approximation	Subspace theorem ⓘ
Diophantine approximation	Khintchine theorem ⓘ surface form: Khintchine–Groshev theorem
Diophantine approximation	Minkowski’s theorem on convex sets ⓘ surface form: Minkowski convex body theorem
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” (with Raoul Bott) surface form: Elliptic Operators and Compact Groups	formula expressing equivariant index as a sum of fixed point contributions ⓘ
“Elliptic Operators and Compact Groups” (with Raoul Bott) surface form: Elliptic Operators and Compact Groups	identification of equivariant index with a virtual representation of the group ⓘ
“Elliptic Operators and Compact Groups” (with Raoul Bott) surface form: Elliptic Operators and Compact Groups	functorial properties of the equivariant index ⓘ
“Elliptic Operators and Compact Groups” (with Raoul Bott) surface form: 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	Finite Operator Calculus self-linksurface differs ⓘ surface form: classification of polynomial sequences of binomial type via delta operators
Non-Euclidean Geometry surface form: Non-Euclidean geometry	existence of consistent geometries with different parallel axioms ⓘ
Non-Euclidean Geometry surface form: 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 algebras surface form: Lie algebra	Ado's theorem NERFINISHED ⓘ
Lie algebras surface form: Lie algebra	Levi–Malcev decomposition NERFINISHED ⓘ
Lie algebras surface form: Lie algebra	Cartan classification of complex semisimple Lie algebras NERFINISHED ⓘ
Lie algebras surface form: Lie algebra	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" (1931) surface form: 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" (1931) surface form: 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" (1931) surface form: 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 ⓘ