Sequences Of Numbers Involved In Unsolved Problems
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Sequences Of Numbers Involved In Unsolved Problems
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Sequences Of Numbers Involved In Unsolved Problems written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).
Sequences Of Numbers Involved In Unsolved Problems
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Author : Florentin Smarandache
language : en
Publisher:
Release Date : 2014-05-14
Sequences Of Numbers Involved In Unsolved Problems written by Florentin Smarandache and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Unsolved Problems In Number Theory
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Author : Richard Guy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Unsolved Problems In Number Theory written by Richard Guy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ourselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the in creasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solu tion of a problem may stifte interest in the area around it. But "Fermat's Last Theorem", because it is not yet a theorem, has generated a great deal of "good" mathematics, whether goodness is judged by beauty, by depth or byapplicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even ifwe don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfeet numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought.
The Math Encyclopedia Of Smarandache Type Notions
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
The Math Encyclopedia Of Smarandache Type Notions written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.
Scientia Magna Vol 4 No 3 2008
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 4 No 3 2008 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Papers on the Smarandache additive sequence, an equation of the Smarandache function, the property of the Smarandache-Riemann zeta sequence, the continued fractions and Dirichlet L-functions, some pseudo Smarandache function related triangles, and similar topics. Contributors: F. Li, M. Turgut, S. Yilmaz, K. Wang, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Chen, C. Shi, M. Fang, X. Li, and others.
Scientia Magna Vol 4 No 4 2008
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 4 No 4 2008 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.
Scientia Magna Vol 2 No 3 2006
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 2 No 3 2006 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Papers on the Pseudo-Smarandache function, primes in the Smarandache deconstructive sequence, recursion formulae for Riemann zeta function and Dirichlet series, parastrophic invariance of Smarandache quasigroups, certain inequalities involving the Smarandache function, and other similar topics. Contributors: A. Majumdar, S. Gupta, S. Zhang, C. Chen, A. Muktibodh, J. Sandor, M. Karama, A. Vyawahare, H. Zhou, and many others.
Various Arithmetic Functions And Their Applications
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Author : Octavian Cira
language : en
Publisher: Infinite Study
Release Date : 2016
Various Arithmetic Functions And Their Applications written by Octavian Cira and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Arithmetic functions categories.
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
Scientia Magna Vol 8 No 1 2012
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 8 No 1 2012 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Papers on the hybrid mean value of the Smarandache kn digital, separation axioms in an ordered intuitionistic fuzzy bitopological space, iterations of strongly pseudocontractive maps in Banach spaces, certain differential subordination involving a multiplier transformation, modified multi-step Noor method for a finite family of strongly pseudo-contractive maps, and similar topics. Contributors: N. Subramanian, R. N. Devi, U. K. Misra, A. A. Mogbademu, S. Hussain, S. Panayappan, S. Chauhan, and others.
Solved And Unsolved Problems Of Structural Chemistry
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Author : Milan Randic
language : en
Publisher: CRC Press
Release Date : 2016-04-21
Solved And Unsolved Problems Of Structural Chemistry written by Milan Randic and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-21 with Mathematics categories.
Solved and Unsolved Problems of Structural Chemistry introduces new methods and approaches for solving problems related to molecular structure. It includes numerous subjects such as aromaticity-one of the central themes of chemistry-and topics from bioinformatics such as graphical and numerical characterization of DNA, proteins, and proteomes. It a