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Author: Huaning Liu
Publisher: Infinite Study
ISBN: 1599734796
Category :
Languages : en
Pages : 60
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Book Description
Papers on Smarandache cyclic geometric determinant sequences, prime one-sided ideals, socles of entire Dirichlet series as a gamma ring, Smarandache LCM ratio, cube-full numbers and so on.
Author: Huaning Liu
Publisher: Infinite Study
ISBN: 1599734796
Category :
Languages : en
Pages : 60
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Book Description
Papers on Smarandache cyclic geometric determinant sequences, prime one-sided ideals, socles of entire Dirichlet series as a gamma ring, Smarandache LCM ratio, cube-full numbers and so on.
Author: Amarnath Murthy
Publisher: Infinite Study
ISBN: 1931233349
Category : Mathematics
Languages : en
Pages : 219
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Book Description
Florentin Smarandache is an incredible source of ideas, only some of which are mathematical in nature. Amarnath Murthy has published a large number of papers in the broad area of Smarandache Notions, which are math problems whose origin can be traced to Smarandache. This book is an edited version of many of those papers, most of which appeared in Smarandache Notions Journal, and more information about SNJ is available at http://www.gallup.unm.edu/~smarandache/ . The topics covered are very broad, although there are two main themes under which most of the material can be classified. A Smarandache Partition Function is an operation where a set or number is split into pieces and together they make up the original object. For example, a Smarandache Repeatable Reciprocal partition of unity is a set of natural numbers where the sum of the reciprocals is one. The first chapter of the book deals with various types of partitions and their properties and partitions also appear in some of the later sections.The second main theme is a set of sequences defined using various properties. For example, the Smarandache n2n sequence is formed by concatenating a natural number and its double in that order. Once a sequence is defined, then some properties of the sequence are examined. A common exploration is to ask how many primes are in the sequence or a slight modification of the sequence. The final chapter is a collection of problems that did not seem to be a precise fit in either of the previous two categories. For example, for any number d, is it possible to find a perfect square that has digit sum d? While many results are proven, a large number of problems are left open, leaving a great deal of room for further exploration.
Author:
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 422
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Book Description
Author:
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 448
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1596
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Book Description
Author: editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze
Publisher: Infinite Study
ISBN: 1599730413
Category : Mathematics
Languages : en
Pages : 202
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Book Description
The Scientific Elements is an international book series, maybe with different subtitles. This series is devoted to the applications of Smarandache?s notions and to mathematical combinatorics. These are two heartening mathematical theories for sciences and can be applied to many fields. This book selects 12 papers for showing applications of Smarandache's notions, such as those of Smarandache multi-spaces, Smarandache geometries, Neutrosophy, etc. to classical mathematics, theoretical and experimental physics, logic, cosmology. Looking at these elementary applications, we can experience their great potential for developing sciences. 12 authors contributed to this volume: Linfan Mao, Yuhua Fu, Shenglin Cao, Jingsong Feng, Changwei Hu, Zhengda Luo, Hao Ji, Xinwei Huang, Yiying Guan, Tianyu Guan, Shuan Chen, and Yan Zhang.
Author: Huaning Liu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 160
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Book Description
Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.
Author: Krassimir T. Atanassov
Publisher: Infinite Study
ISBN: 1879585723
Category : Number theory
Languages : en
Pages : 89
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Book Description
Author: Andrei-Lucian Drăgoi
Publisher: Dr. Andrei-Lucian Drăgoi
ISBN:
Category : Mathematics
Languages : en
Pages : 58
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Book Description
This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730995
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Papers on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.
