Pregled bibliografske jedinice broj: 654307
Invariance of the generalized Minkowski content with respect to the ambient space
Invariance of the generalized Minkowski content with respect to the ambient space // Chaos, solitons and fractals, 57 (2013), 123-128 doi:10.1016/j.chaos.2013.10.001 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 654307 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Invariance of the generalized Minkowski content with respect to the ambient space
Autori
Resman, Maja
Izvornik
Chaos, solitons and fractals (0960-0779) 57
(2013);
123-128
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
box dimension; Minkowski content; normalized Minkowski content; Minkowski measurability
Sažetak
It is easy to show that the lower and the upper box dimensions of a bounded set in Euclidean space are invariant with respect to the ambient space. In this article we show that the Minkowski content of a Minkowski measurable set is also invariant with respect to the ambient space when normalized by an appropriate constant. In other words, the value of the normalized Minkowski content of a bounded, Minkowski measurable set is intrinsic to the set.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Maja Resman
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
