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Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences

By: Amarnath Murthy and Charles Ashbacher

... Editor’s Note This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from t... ...ity, Gold Coast, Queensland 9726, Australia. Copyright 2005 by Hexis., Amarnath Murthy and Charles Ashbacher Many books can be dow... ... Editor’s Note This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from t... ... equal to one. He misunderstood the conjecture, perhaps due to inadequate wording. What he actually proved was the proposition that for every n ther... ...p 2 α2 . . . p r αr . . . p n αn and p r is the rth prime. In other words, p 1 = 2, p 2 = 3, and so forth. 2) For the case where N is a sq... ... F’ * (N) = Σ F’(d r ), where d r | N. d|N In other words, F’ * = sum of F’(d r ) over all the divisors of N. Example: N =... ...mbers Dull numbers. The reader is encouraged to explore the distribution, frequency and other properties of Dull numbers. Definition: A number is ... ... list the SFP’s. In this section, such a program in the ‘C’ language that lists the SFPs will be presented. #include<stdio.h> /*This is a progra...

...This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of the papers were published in Smarandache Notions Journal and there w...

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Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics

By: Florentin Smarandache

...0-521-0600 (Customer Service) http://wwwlib.umi.com/bod/ Copyright 2002 by Xiquan 510 E Townley Ave. Phoenix, AZ 85020, USA E-mail: ggregor... ...December 1-3, 2001 University of New Mexico Contributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, Unive... ...e. Abstracts of papers were submitted to the following web site, provided by The York University, from Toronto, Canada, at: http://at.yorku.ca... ...y the time or by events' occurrence. The probability is thus connected to the frequency of the events' occurrence.” “The vagueness which constitu... ...ently (mainly through the geometrical approach, the subjective approach and the frequency approach [35]) since the seventieth century. The frequency a... ... elementary (possibly all ) and zero to all possible disjunctions of . In other words there exists a bayesian bpa such that and Bel (24) 3.3 Plausibi... ...formative and can be used to help us to take legitimous final decision. In other words, this new theory can be interpreted as a general and direct exte... ...inimal credibility committed to and as the plausibility committed to . In other words, the Appriou’s transformation model within the DST is the follow... ...common to our descriptive science and philosophy, where we classify objects by lists of such traits or attributes. The second type of value is that o...

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