Proceedings of the First International Conference on Smarandache Type Notions in Number Theory

By C. Dumitresu

Book Id: WPLBN0002097632
Format Type: PDF eBook:
File Size: 7.45 MB
Reproduction Date: 9/14/2011

Title:	Proceedings of the First International Conference on Smarandache Type Notions in Number Theory
Author:	C. Dumitresu
Volume:
Language:	English
Subject:	Non-Fiction, Mathematics, Smarandache Collection
Collections:	Arithmetic, Mathematical Analysis, Algebra, Special Collection Mathematics, Authors Community, Math, Literature, Favorites in India
Historic Publication Date:	1997
Publisher:	American Research Press

Member Page:	Florentin Smarandache
Citation APA MLA Chicago Dumitresu, B. C. (1997). Proceedings of the First International Conference on Smarandache Type Notions in Number Theory. Retrieved from http://gutenberg.cc/

Description
This paper is based on an article in Mathematical Spectrum, VoL 29, No 1. It concerns what happens when an operation applied to an n-digit integer results in an n digit integer. Since the number of ndigit integers is finite a repetition must occur after applying the operation a finite number of times. It was assumed in the above article that this would lead to a periodic sequence which is not always true because the process may lead to an invariant. The second problem with the initial article is that, say, 7 is considered as 07 or 007 as the case may be in order make its reverse to be 70 or 700. However, the reverse of 7 is 7. In order not to loose the beauty of these sequences the author has introduced stringent definitions to prevent the sequences from collapse when the reversal process is carried out.