Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300349819> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W4300349819 abstract "The interrelations between (upper and lower) Minkowski contents and (upper and lower) surface area based contents (S-contents) as well as between their associated dimensions have recently been investigated for general sets in R^d (cf. [3]). While the upper dimensions always coincide and the upper contents are bounded by each other, the bounds obtained in [3] suggest that there is much more flexibility for the lower contents and dimensions. We show that this is indeed the case. There are sets whose lower S-dimension is strictly smaller than their lower Minkowski dimension. More precisely, given two numbers s, m with 0 < s < m < 1, we construct sets in R^d with lower S-dimension s+d-1 and lower Minkowski dimension m+d-1. In particular, these sets are used to demonstrate that the inequalities obtained in [3] regarding the general relation of these two dimensions are best possible." @default.
- W4300349819 created "2022-10-03" @default.
- W4300349819 creator A5058058333 @default.
- W4300349819 date "2010-03-19" @default.
- W4300349819 modified "2023-10-14" @default.
- W4300349819 title "Lower S-Dimension of Fractal Sets" @default.
- W4300349819 doi "https://doi.org/10.48550/arxiv.1003.3776" @default.
- W4300349819 hasPublicationYear "2010" @default.
- W4300349819 type Work @default.
- W4300349819 citedByCount "0" @default.
- W4300349819 crossrefType "posted-content" @default.
- W4300349819 hasAuthorship W4300349819A5058058333 @default.
- W4300349819 hasBestOaLocation W43003498191 @default.
- W4300349819 hasConcept C101597101 @default.
- W4300349819 hasConcept C114614502 @default.
- W4300349819 hasConcept C134306372 @default.
- W4300349819 hasConcept C194198291 @default.
- W4300349819 hasConcept C202444582 @default.
- W4300349819 hasConcept C2524010 @default.
- W4300349819 hasConcept C26546657 @default.
- W4300349819 hasConcept C2776799497 @default.
- W4300349819 hasConcept C33676613 @default.
- W4300349819 hasConcept C33923547 @default.
- W4300349819 hasConcept C34388435 @default.
- W4300349819 hasConcept C40636538 @default.
- W4300349819 hasConcept C77553402 @default.
- W4300349819 hasConcept C79464548 @default.
- W4300349819 hasConceptScore W4300349819C101597101 @default.
- W4300349819 hasConceptScore W4300349819C114614502 @default.
- W4300349819 hasConceptScore W4300349819C134306372 @default.
- W4300349819 hasConceptScore W4300349819C194198291 @default.
- W4300349819 hasConceptScore W4300349819C202444582 @default.
- W4300349819 hasConceptScore W4300349819C2524010 @default.
- W4300349819 hasConceptScore W4300349819C26546657 @default.
- W4300349819 hasConceptScore W4300349819C2776799497 @default.
- W4300349819 hasConceptScore W4300349819C33676613 @default.
- W4300349819 hasConceptScore W4300349819C33923547 @default.
- W4300349819 hasConceptScore W4300349819C34388435 @default.
- W4300349819 hasConceptScore W4300349819C40636538 @default.
- W4300349819 hasConceptScore W4300349819C77553402 @default.
- W4300349819 hasConceptScore W4300349819C79464548 @default.
- W4300349819 hasLocation W43003498191 @default.
- W4300349819 hasLocation W43003498192 @default.
- W4300349819 hasOpenAccess W4300349819 @default.
- W4300349819 hasPrimaryLocation W43003498191 @default.
- W4300349819 hasRelatedWork W154509616 @default.
- W4300349819 hasRelatedWork W1583271237 @default.
- W4300349819 hasRelatedWork W2083362643 @default.
- W4300349819 hasRelatedWork W2092372670 @default.
- W4300349819 hasRelatedWork W2940776251 @default.
- W4300349819 hasRelatedWork W2949198183 @default.
- W4300349819 hasRelatedWork W3080852839 @default.
- W4300349819 hasRelatedWork W3131713619 @default.
- W4300349819 hasRelatedWork W3147491933 @default.
- W4300349819 hasRelatedWork W4300349819 @default.
- W4300349819 isParatext "false" @default.
- W4300349819 isRetracted "false" @default.
- W4300349819 workType "article" @default.