Matches in SemOpenAlex for { <https://semopenalex.org/work/W2270733612> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2270733612 abstract "We prove that there exists an absolute constant $alpha >1$ with the following property: if $K$ is a convex body in ${mathbb R}^n$ whose center of mass is at the origin, then a random subset $Xsubset K$ of cardinality ${rm card}(X)=lceilalpha nrceil $ satisfies with probability greater than $1-e^{-n}$ {Ksubseteq c_1n,{mathrm conv}(X),} where $c_1>0$ is an absolute constant. As an application we show that the vertex index of any convex body $K$ in ${mathbb R}^n$ is bounded by $c_2n^2$, where $c_2>0$ is an absolute constant, thus extending an estimate of Bezdek and Litvak for the symmetric case." @default.
- W2270733612 created "2016-06-24" @default.
- W2270733612 creator A5042422114 @default.
- W2270733612 creator A5054016835 @default.
- W2270733612 creator A5064645106 @default.
- W2270733612 date "2015-12-08" @default.
- W2270733612 modified "2023-09-27" @default.
- W2270733612 title "Random approximation and the vertex index of convex bodies" @default.
- W2270733612 cites W1198070198 @default.
- W2270733612 cites W1766348922 @default.
- W2270733612 cites W1987698418 @default.
- W2270733612 cites W1999370902 @default.
- W2270733612 cites W2001147738 @default.
- W2270733612 cites W2020020174 @default.
- W2270733612 cites W2027107806 @default.
- W2270733612 cites W2030644212 @default.
- W2270733612 cites W2087867172 @default.
- W2270733612 cites W2089673856 @default.
- W2270733612 cites W2272737759 @default.
- W2270733612 cites W2963130757 @default.
- W2270733612 cites W3100363164 @default.
- W2270733612 hasPublicationYear "2015" @default.
- W2270733612 type Work @default.
- W2270733612 sameAs 2270733612 @default.
- W2270733612 citedByCount "0" @default.
- W2270733612 crossrefType "posted-content" @default.
- W2270733612 hasAuthorship W2270733612A5042422114 @default.
- W2270733612 hasAuthorship W2270733612A5054016835 @default.
- W2270733612 hasAuthorship W2270733612A5064645106 @default.
- W2270733612 hasConcept C112680207 @default.
- W2270733612 hasConcept C114614502 @default.
- W2270733612 hasConcept C124101348 @default.
- W2270733612 hasConcept C132525143 @default.
- W2270733612 hasConcept C134306372 @default.
- W2270733612 hasConcept C134912446 @default.
- W2270733612 hasConcept C185592680 @default.
- W2270733612 hasConcept C199360897 @default.
- W2270733612 hasConcept C206194317 @default.
- W2270733612 hasConcept C2524010 @default.
- W2270733612 hasConcept C2777027219 @default.
- W2270733612 hasConcept C2779463800 @default.
- W2270733612 hasConcept C33923547 @default.
- W2270733612 hasConcept C34388435 @default.
- W2270733612 hasConcept C41008148 @default.
- W2270733612 hasConcept C8010536 @default.
- W2270733612 hasConcept C80899671 @default.
- W2270733612 hasConcept C87117476 @default.
- W2270733612 hasConceptScore W2270733612C112680207 @default.
- W2270733612 hasConceptScore W2270733612C114614502 @default.
- W2270733612 hasConceptScore W2270733612C124101348 @default.
- W2270733612 hasConceptScore W2270733612C132525143 @default.
- W2270733612 hasConceptScore W2270733612C134306372 @default.
- W2270733612 hasConceptScore W2270733612C134912446 @default.
- W2270733612 hasConceptScore W2270733612C185592680 @default.
- W2270733612 hasConceptScore W2270733612C199360897 @default.
- W2270733612 hasConceptScore W2270733612C206194317 @default.
- W2270733612 hasConceptScore W2270733612C2524010 @default.
- W2270733612 hasConceptScore W2270733612C2777027219 @default.
- W2270733612 hasConceptScore W2270733612C2779463800 @default.
- W2270733612 hasConceptScore W2270733612C33923547 @default.
- W2270733612 hasConceptScore W2270733612C34388435 @default.
- W2270733612 hasConceptScore W2270733612C41008148 @default.
- W2270733612 hasConceptScore W2270733612C8010536 @default.
- W2270733612 hasConceptScore W2270733612C80899671 @default.
- W2270733612 hasConceptScore W2270733612C87117476 @default.
- W2270733612 hasLocation W22707336121 @default.
- W2270733612 hasOpenAccess W2270733612 @default.
- W2270733612 hasPrimaryLocation W22707336121 @default.
- W2270733612 hasRelatedWork W2043729466 @default.
- W2270733612 hasRelatedWork W2131873018 @default.
- W2270733612 hasRelatedWork W2250147633 @default.
- W2270733612 hasRelatedWork W2566448433 @default.
- W2270733612 hasRelatedWork W2606320486 @default.
- W2270733612 hasRelatedWork W2735998528 @default.
- W2270733612 hasRelatedWork W2772468309 @default.
- W2270733612 hasRelatedWork W2798617184 @default.
- W2270733612 hasRelatedWork W2890470282 @default.
- W2270733612 hasRelatedWork W2950864770 @default.
- W2270733612 hasRelatedWork W2953358894 @default.
- W2270733612 hasRelatedWork W2954564316 @default.
- W2270733612 hasRelatedWork W2963292258 @default.
- W2270733612 hasRelatedWork W2963552331 @default.
- W2270733612 hasRelatedWork W2963984616 @default.
- W2270733612 hasRelatedWork W2964051370 @default.
- W2270733612 hasRelatedWork W3100714441 @default.
- W2270733612 hasRelatedWork W3103886866 @default.
- W2270733612 hasRelatedWork W3106160126 @default.
- W2270733612 hasRelatedWork W54122234 @default.
- W2270733612 isParatext "false" @default.
- W2270733612 isRetracted "false" @default.
- W2270733612 magId "2270733612" @default.
- W2270733612 workType "article" @default.