Matches in SemOpenAlex for { <https://semopenalex.org/work/W2040985055> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W2040985055 endingPage "1100" @default.
- W2040985055 startingPage "1081" @default.
- W2040985055 abstract "Let K , E , L be convex bodies, dim L ≤ 1 and K = L + E , a sausage. In this case vol ( λ K + ( 1 − λ ) E ) = λ vol ( K ) + ( 1 − λ ) vol ( E ) . We prove that under the sole assumption that K and E have an equal volume projection (or a common maximal volume section), if the above equality holds for just one value in ( 0 , 1 ) , then K = L + E with dim L ≤ 1 . However, even having equality for all λ ∈ [ 0 , 1 ] , if no extra assumption on K , E is done, such a characterization is not possible. This problem is connected with a conjecture relating the roots of the Steiner polynomial of a pair of convex bodies to their relative inradius. Counterexamples for the general case are explicitly given. In the same line, a counterexample to a conjecture by Matheron on inner parallel bodies is also shown." @default.
- W2040985055 created "2016-06-24" @default.
- W2040985055 creator A5054473130 @default.
- W2040985055 creator A5074884619 @default.
- W2040985055 date "2015-01-01" @default.
- W2040985055 modified "2023-09-27" @default.
- W2040985055 title "Linearity of the volume. Looking for a characterization of sausages" @default.
- W2040985055 cites W2006172644 @default.
- W2040985055 cites W2010377947 @default.
- W2040985055 cites W2016724581 @default.
- W2040985055 cites W2022377411 @default.
- W2040985055 cites W2025775732 @default.
- W2040985055 cites W2028712970 @default.
- W2040985055 cites W2171784164 @default.
- W2040985055 cites W2312474575 @default.
- W2040985055 cites W2594169177 @default.
- W2040985055 cites W2964258955 @default.
- W2040985055 doi "https://doi.org/10.1016/j.jmaa.2014.07.060" @default.
- W2040985055 hasPublicationYear "2015" @default.
- W2040985055 type Work @default.
- W2040985055 sameAs 2040985055 @default.
- W2040985055 citedByCount "3" @default.
- W2040985055 countsByYear W20409850552017 @default.
- W2040985055 countsByYear W20409850552023 @default.
- W2040985055 crossrefType "journal-article" @default.
- W2040985055 hasAuthorship W2040985055A5054473130 @default.
- W2040985055 hasAuthorship W2040985055A5074884619 @default.
- W2040985055 hasBestOaLocation W20409850551 @default.
- W2040985055 hasConcept C105795698 @default.
- W2040985055 hasConcept C121332964 @default.
- W2040985055 hasConcept C171250308 @default.
- W2040985055 hasConcept C192562407 @default.
- W2040985055 hasConcept C20556612 @default.
- W2040985055 hasConcept C2780841128 @default.
- W2040985055 hasConcept C33923547 @default.
- W2040985055 hasConcept C62520636 @default.
- W2040985055 hasConcept C77170095 @default.
- W2040985055 hasConcept C97355855 @default.
- W2040985055 hasConceptScore W2040985055C105795698 @default.
- W2040985055 hasConceptScore W2040985055C121332964 @default.
- W2040985055 hasConceptScore W2040985055C171250308 @default.
- W2040985055 hasConceptScore W2040985055C192562407 @default.
- W2040985055 hasConceptScore W2040985055C20556612 @default.
- W2040985055 hasConceptScore W2040985055C2780841128 @default.
- W2040985055 hasConceptScore W2040985055C33923547 @default.
- W2040985055 hasConceptScore W2040985055C62520636 @default.
- W2040985055 hasConceptScore W2040985055C77170095 @default.
- W2040985055 hasConceptScore W2040985055C97355855 @default.
- W2040985055 hasFunder F4320321837 @default.
- W2040985055 hasIssue "2" @default.
- W2040985055 hasLocation W20409850551 @default.
- W2040985055 hasOpenAccess W2040985055 @default.
- W2040985055 hasPrimaryLocation W20409850551 @default.
- W2040985055 hasRelatedWork W1979597421 @default.
- W2040985055 hasRelatedWork W2016548833 @default.
- W2040985055 hasRelatedWork W2029334038 @default.
- W2040985055 hasRelatedWork W2119158312 @default.
- W2040985055 hasRelatedWork W2166345564 @default.
- W2040985055 hasRelatedWork W2333313290 @default.
- W2040985055 hasRelatedWork W2385358681 @default.
- W2040985055 hasRelatedWork W2552050053 @default.
- W2040985055 hasRelatedWork W2738049869 @default.
- W2040985055 hasRelatedWork W2941394577 @default.
- W2040985055 hasVolume "421" @default.
- W2040985055 isParatext "false" @default.
- W2040985055 isRetracted "false" @default.
- W2040985055 magId "2040985055" @default.
- W2040985055 workType "article" @default.