Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024498264> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2024498264 endingPage "644" @default.
- W2024498264 startingPage "633" @default.
- W2024498264 abstract "Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-empty, finite point sets A 1, ..., A d+1 in ℝ d , if the origin is contained in the convex hull of A i ∪ A j for all 1≤i<j≤d+1, then there is a simplex S containing the origin such that |S∩A i |=1 for every 1≤i≤d+1. This is a generalization of Bárány’s colored Carathéodory theorem, and in a dual version, it gives a spherical version of Lovász’ colored Helly theorem." @default.
- W2024498264 created "2016-06-24" @default.
- W2024498264 creator A5028081632 @default.
- W2024498264 creator A5032398271 @default.
- W2024498264 creator A5041947746 @default.
- W2024498264 date "2008-08-19" @default.
- W2024498264 modified "2023-10-06" @default.
- W2024498264 title "Points surrounding the origin" @default.
- W2024498264 cites W136694183 @default.
- W2024498264 cites W1984879308 @default.
- W2024498264 cites W2045645047 @default.
- W2024498264 cites W2047307924 @default.
- W2024498264 cites W2071873201 @default.
- W2024498264 cites W2094683955 @default.
- W2024498264 cites W2149757010 @default.
- W2024498264 cites W2167816765 @default.
- W2024498264 cites W4206570602 @default.
- W2024498264 doi "https://doi.org/10.1007/s00493-008-2427-5" @default.
- W2024498264 hasPublicationYear "2008" @default.
- W2024498264 type Work @default.
- W2024498264 sameAs 2024498264 @default.
- W2024498264 citedByCount "40" @default.
- W2024498264 countsByYear W20244982642013 @default.
- W2024498264 countsByYear W20244982642014 @default.
- W2024498264 countsByYear W20244982642015 @default.
- W2024498264 countsByYear W20244982642016 @default.
- W2024498264 countsByYear W20244982642017 @default.
- W2024498264 countsByYear W20244982642018 @default.
- W2024498264 countsByYear W20244982642019 @default.
- W2024498264 countsByYear W20244982642020 @default.
- W2024498264 countsByYear W20244982642021 @default.
- W2024498264 countsByYear W20244982642022 @default.
- W2024498264 countsByYear W20244982642023 @default.
- W2024498264 crossrefType "journal-article" @default.
- W2024498264 hasAuthorship W2024498264A5028081632 @default.
- W2024498264 hasAuthorship W2024498264A5032398271 @default.
- W2024498264 hasAuthorship W2024498264A5041947746 @default.
- W2024498264 hasBestOaLocation W20244982642 @default.
- W2024498264 hasConcept C112680207 @default.
- W2024498264 hasConcept C114614502 @default.
- W2024498264 hasConcept C134306372 @default.
- W2024498264 hasConcept C134912446 @default.
- W2024498264 hasConcept C162392398 @default.
- W2024498264 hasConcept C177148314 @default.
- W2024498264 hasConcept C186450821 @default.
- W2024498264 hasConcept C206194317 @default.
- W2024498264 hasConcept C2524010 @default.
- W2024498264 hasConcept C28719098 @default.
- W2024498264 hasConcept C33923547 @default.
- W2024498264 hasConcept C62438384 @default.
- W2024498264 hasConcept C64051489 @default.
- W2024498264 hasConceptScore W2024498264C112680207 @default.
- W2024498264 hasConceptScore W2024498264C114614502 @default.
- W2024498264 hasConceptScore W2024498264C134306372 @default.
- W2024498264 hasConceptScore W2024498264C134912446 @default.
- W2024498264 hasConceptScore W2024498264C162392398 @default.
- W2024498264 hasConceptScore W2024498264C177148314 @default.
- W2024498264 hasConceptScore W2024498264C186450821 @default.
- W2024498264 hasConceptScore W2024498264C206194317 @default.
- W2024498264 hasConceptScore W2024498264C2524010 @default.
- W2024498264 hasConceptScore W2024498264C28719098 @default.
- W2024498264 hasConceptScore W2024498264C33923547 @default.
- W2024498264 hasConceptScore W2024498264C62438384 @default.
- W2024498264 hasConceptScore W2024498264C64051489 @default.
- W2024498264 hasIssue "6" @default.
- W2024498264 hasLocation W20244982641 @default.
- W2024498264 hasLocation W20244982642 @default.
- W2024498264 hasLocation W20244982643 @default.
- W2024498264 hasOpenAccess W2024498264 @default.
- W2024498264 hasPrimaryLocation W20244982641 @default.
- W2024498264 hasRelatedWork W1427726556 @default.
- W2024498264 hasRelatedWork W1993849467 @default.
- W2024498264 hasRelatedWork W2051995105 @default.
- W2024498264 hasRelatedWork W2052179662 @default.
- W2024498264 hasRelatedWork W2062528168 @default.
- W2024498264 hasRelatedWork W2090067893 @default.
- W2024498264 hasRelatedWork W2106097701 @default.
- W2024498264 hasRelatedWork W2250147633 @default.
- W2024498264 hasRelatedWork W2324738504 @default.
- W2024498264 hasRelatedWork W4283156066 @default.
- W2024498264 hasVolume "28" @default.
- W2024498264 isParatext "false" @default.
- W2024498264 isRetracted "false" @default.
- W2024498264 magId "2024498264" @default.
- W2024498264 workType "article" @default.