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

By C. Dumitresu

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Book Id: WPLBN0002097632
Format Type: pdf
File Size: 7,274 KB
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

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Dumitresu, C. (1997). Proceedings of the First International Conference on Smarandache Type Notions in Number Theory. Retrieved from http://gutenberg.us/


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.

 
 



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