Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949381818> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2949381818 abstract "Classical integral geometry takes place in Euclidean space, but one can attempt to imitate it in any other metric space. In particular, one can attempt this in R^n equipped with the metric derived from the p-norm. This has, in effect, been investigated intensively for 1<p<infty, but not for p=1. We show that integral geometry for the 1-norm bears a striking resemblance to integral geometry for the 2-norm, but is radically different from that for all other values of p. We prove a Hadwiger-type theorem for R^n with the 1-norm, and analogues of the classical formulas of Steiner, Crofton and Kubota. We also prove principal and higher kinematic formulas. Each of these results is closely analogous to its Euclidean counterpart, yet the proofs are quite different." @default.
- W2949381818 created "2019-06-27" @default.
- W2949381818 creator A5047971691 @default.
- W2949381818 date "2010-12-29" @default.
- W2949381818 modified "2023-09-27" @default.
- W2949381818 title "Integral geometry for the 1-norm" @default.
- W2949381818 cites W136290588 @default.
- W2949381818 cites W1483679902 @default.
- W2949381818 cites W1571966798 @default.
- W2949381818 cites W1935191639 @default.
- W2949381818 cites W2002691267 @default.
- W2949381818 cites W2019698057 @default.
- W2949381818 cites W2021763581 @default.
- W2949381818 cites W2039887972 @default.
- W2949381818 cites W2040741685 @default.
- W2949381818 cites W2042846406 @default.
- W2949381818 cites W2063590492 @default.
- W2949381818 cites W2067513565 @default.
- W2949381818 cites W2153535123 @default.
- W2949381818 cites W2963456899 @default.
- W2949381818 cites W620500721 @default.
- W2949381818 cites W2025442342 @default.
- W2949381818 hasPublicationYear "2010" @default.
- W2949381818 type Work @default.
- W2949381818 sameAs 2949381818 @default.
- W2949381818 citedByCount "0" @default.
- W2949381818 crossrefType "posted-content" @default.
- W2949381818 hasAuthorship W2949381818A5047971691 @default.
- W2949381818 hasConcept C108710211 @default.
- W2949381818 hasConcept C110202963 @default.
- W2949381818 hasConcept C112680207 @default.
- W2949381818 hasConcept C129782007 @default.
- W2949381818 hasConcept C157252659 @default.
- W2949381818 hasConcept C157972887 @default.
- W2949381818 hasConcept C17744445 @default.
- W2949381818 hasConcept C186450821 @default.
- W2949381818 hasConcept C191795146 @default.
- W2949381818 hasConcept C192939610 @default.
- W2949381818 hasConcept C199539241 @default.
- W2949381818 hasConcept C202444582 @default.
- W2949381818 hasConcept C2524010 @default.
- W2949381818 hasConcept C33923547 @default.
- W2949381818 hasConcept C49870271 @default.
- W2949381818 hasConceptScore W2949381818C108710211 @default.
- W2949381818 hasConceptScore W2949381818C110202963 @default.
- W2949381818 hasConceptScore W2949381818C112680207 @default.
- W2949381818 hasConceptScore W2949381818C129782007 @default.
- W2949381818 hasConceptScore W2949381818C157252659 @default.
- W2949381818 hasConceptScore W2949381818C157972887 @default.
- W2949381818 hasConceptScore W2949381818C17744445 @default.
- W2949381818 hasConceptScore W2949381818C186450821 @default.
- W2949381818 hasConceptScore W2949381818C191795146 @default.
- W2949381818 hasConceptScore W2949381818C192939610 @default.
- W2949381818 hasConceptScore W2949381818C199539241 @default.
- W2949381818 hasConceptScore W2949381818C202444582 @default.
- W2949381818 hasConceptScore W2949381818C2524010 @default.
- W2949381818 hasConceptScore W2949381818C33923547 @default.
- W2949381818 hasConceptScore W2949381818C49870271 @default.
- W2949381818 hasLocation W29493818181 @default.
- W2949381818 hasOpenAccess W2949381818 @default.
- W2949381818 hasPrimaryLocation W29493818181 @default.
- W2949381818 hasRelatedWork W148042662 @default.
- W2949381818 hasRelatedWork W1498754945 @default.
- W2949381818 hasRelatedWork W1654270376 @default.
- W2949381818 hasRelatedWork W1812741041 @default.
- W2949381818 hasRelatedWork W1898096609 @default.
- W2949381818 hasRelatedWork W1992619532 @default.
- W2949381818 hasRelatedWork W2014677128 @default.
- W2949381818 hasRelatedWork W2027434723 @default.
- W2949381818 hasRelatedWork W2567572533 @default.
- W2949381818 hasRelatedWork W2952457629 @default.
- W2949381818 hasRelatedWork W2953153121 @default.
- W2949381818 hasRelatedWork W3018002705 @default.
- W2949381818 hasRelatedWork W3095064283 @default.
- W2949381818 hasRelatedWork W3098025416 @default.
- W2949381818 hasRelatedWork W3098770234 @default.
- W2949381818 hasRelatedWork W3103670474 @default.
- W2949381818 hasRelatedWork W3115781811 @default.
- W2949381818 hasRelatedWork W3158905680 @default.
- W2949381818 hasRelatedWork W3160397044 @default.
- W2949381818 hasRelatedWork W3184986739 @default.
- W2949381818 isParatext "false" @default.
- W2949381818 isRetracted "false" @default.
- W2949381818 magId "2949381818" @default.
- W2949381818 workType "article" @default.