On a connection between Stieltjes continued fraction, KAM theory and E-infinity theory

Abstract

V tem delu je napravljena povezava med El Naschiejevo E-neskončno teorijo in Stieltjesovo rešitvijo problema porazdelitve mas ter KAM-ovo teorijo, pri čemer sledimo Gantmacherjevi in Kreinovi mehanični interpretaciji Stieltjesovega problema.

Keywords

matematika;Stieltjesov verižni ulomek;KAM-ova teorija;E-neskončna teorija;Cantorjeva množica;mathematics;Stieltjes continued fraction;KAM-theory;E-infinity theory;Cantor set;

Data

Language:	English
Year of publishing:	2004
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	511.364:53
COBISS:	8925974
ISSN:	0960-0779
Views:	612
Downloads:	73
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Povezava med Stieltjesovim verižnim ulomkom, KAM-ovo teorijo in E-neskončno teorijo
Secondary abstract:	In the present work we establish a connection between El Naschie's E-infinity theory and Stieltjes solution of the problem on the distribution of mass along a line and KAM theory following Gantmacher and Krein mechanical interpretation of Stieltjes' classical research on the subject.
Secondary keywords:	matematika;neskončni ulomki;
URN:	URN:SI:UM:
Pages:	str. 749-752
Volume:	ǂVol. ǂ22
Issue:	ǂiss. ǂ4
Chronology:	2004
ID:	8718710