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...Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems impl...

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...RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collected papers) Edited by ZHANG WENPENG D... ... Hexis 200 4 RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collect ed papers) Edited by ZHANG W... ...ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (Univers ity of Microfilm International) 300... ...Florentin Smarandache, who listed many new and unsolved problems in number theory. Contents Dedication v Preface xi An arithmetic function and the pr... ...its mean value 49 Gao Nan viii RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY On the generalized constructive set 53 Gou su On the inferior and su... ...new problems implicated and are still promoting the development of number theory and mathematics. American - Romanian number theorist Florentin Sm...

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...al logic and rst order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on rst order interval neutrosophic predicate logic. The interval neutrosophic inference system can be applied to decision making. Ch...

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...nstituted where two persons meet. Applying this, x thought to the modem theory of history as a process within an unbroken causal system, where fac... ...pulated only with the key. 0 secrecy without a secret I 0 accumulation of information ! It, always It ! * The man who experiences has no pan in the... ... Of course, this happens in a "primitive" form and not in the form of a " theory of knowledge". But whenever the sentence :' I see the tree" is so ... ...ving dealings that would open the world to them, are fully equipped with information; They have pinned the person down in history, and secured his ... ...For a hundred years he is a pupil, is twice dismissed with in­ suflicient information, till finally the right information is given him: U If a man, ...

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...d now I had a chance to treat my life as a living laboratory and put this theory to the test. I resolved to be easy on myself and to approach the fu... ...other people to fame and to fortune. The Napoleon Hill Foundation runs an information center that distributes printed matter, conducts seminars, and... ...eeling that counts, not the words. Thanks for reading my book. I hope the information you've read will help you turn some of your lemons into lemona... ... today's fast-paced, often perplexing business environment. The valuable information in this book was drawn first from the author's personal experi...

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...introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is modeled we use f...

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...rdered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 30... ...d and recommended for publication by: Dr. Sukanto Bhattacharya, School of Information Technology, Bond University, Queensland, Australia. Dr. Ius... ...eutrosophic Vector spaces 8 Chapter Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Gr... ...ophic algebraic structures is very recent. The introduction of neutrosophic theory has put forth a significant concept by giving representation to i... ...n almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Mo... ... further development of the other chapters. Chapter Two recalls basic graph theory definitions and results which has interested us and for which we ... ...cking of e- mail by students. One of the major problems of today’s world of information technology that is faced by one and all is; How safe are the... ...phic Cognitive State maps of users web behavior is described. Searching for information in general is complex, with lot of indeterminacies and it is... ...ications of intimate technologies, owing to their ability to FIGURE: 3.7.11 INFORMATION CONSTRAINT SUCCESS RELEVANCE FAILURE SEARCH BROWSE TIM...

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...roup and a semigroup simultaneously. This book is a piece of work on Smarandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties just for quick reference....

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...an be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) ... ...liminary results 14 2.4 Subgroups 15 3. Some Classical Theorems in Group Theory 3.1 Lagrange's Theorem 21 3.2 Cauchy's Theorems 22 3.3 ... ...marandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its proper... ...e used in this book. Chapters 2 and 3 gives most of the basic concepts on group theory and results in group theory which have been used in this text... ...rch on Smarandache notions. Smarandache notions are revolutionary because group theory does not make one think of the unthinkable that can naturally... ...see that the chapters two and three give most of the relevant concepts in group theory for which we have studied the Smarandache notions. In these t... ... for every b ∈ G, we must have for e ∈ G, e  f = e. Piecing these two bits of information together we get f = e  f = e and so e = f. THEOREM 2.... ... G ( o p , for every a ∈ G where a ∉ Z(G). Look at the class equation with this information. Since p α /o(G) we have that p/o(G), also ∑ ∉Z a )) a (... ...t be divisible by p, so we can write as kp, where k is an integer. Feeding this information back into our equation above, we have . kp 1 )) P ( N ...

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...umental and analytical means and methods of automatic polysystemic sanogenetic monitoring. The unique advantage of this monitoring lies in not only information capacity of dynamic criteria registered, but also its ability to automate measurement and indication procedures and to ensure simultaneous operation and development of technical facilities. Substantuation of the...

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............................................................23 1. Inadequate Information on the Work Itself................................................ .............................................. 28 3. Limitations of Existing Information Resources......................................................... .......................................................... 29 b. Third-Party Information Resources ........................................................ ................................... 31 4. Difficulties Researching Copyright Information .................................................................. ...ying and locating the copyright owner, such as (1) inadequate identifying information on a copy of the work itself; (2) inadequate information about... ...v. Ashcroft, 537 U.S. 186, 219-21 (2003). 124 Id. at 219 (“[E]very idea, theory, and fact in a copyrighted work becomes instantly available for pub... ...rch of the mandatory registry would, standing alone, be sufficient, but in theory a formal Page 77 REPORT ON ORPHAN WORKS U NITED STATES COPYRIGHT...

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...be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 ... ... East-West (preface) Liu Feng (surname, given name) Dept. of Economic Information, School of Information, Xi'an University of Finance and Economi... ... he may be doing something philosophism. Although he claimed to base his theory on the summarization of all the logic schools of the West, he might... ...rn from the West? On the contrary, Chinese classic culture based all its theory on the unification of man and heaven (the universe), i.e., on the u... ... the indeterminacy problem that universally appears in current cognitive, information, system sciences, economics, quantum dynamics, and so on; to r... ...uates, researchers and teachers in science philosophy, fuzzy mathematics, information science, artificial intelligence, system science and other fiel... ...lve the indeterminacy problem universally appearing in current cognitive, information, system sciences, and economics, quantum dynamics, and so on; ... ...battle, and neutrosophy is the science of this stratagem and tactic. The theory of relativity, as a most eminent science, is based on the speed cons... ...ixing Science with Philosophy, Literature and Art Do we need a unifying theory? Professor Smarandache creatively applies the structure of unity of...

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...is book can be ordered in paperbound form from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N.... ...sting iteration question was posed in the book Unsolved Questions in Number Theory (first edition) by R.K. Guy. Why does the repetitive application ... ...tions That Alternate the Pseudo-Smarandache and Classic Functions of Number Theory, Smarandache Notions Journal, Vol. 11, No 1-2-3. 26 ... ...tions That Alternate the Pseudo-Smarandache and Classic Functions of Number Theory, Smarandache Notions Journal, Vol. 11, No 1-2-3. 4. G.H. Hardy ... ... Vol. 11, No 1-2-3. 4. G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers. Oxford University Press, 1938. ... ...Some Sequences of Large Integers Abstract: In Unsolved Problems in Number Theory [1] the question why iteration of the sequence n / ) x ... x x 1 ... ...h we do not have a general formula for a n we may extract very interesting information in particular cases. Successive application of (2) to a case...

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...be ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) ... ...iewed and recommended for publication by: Dr. Sukanto Bhattacharya, School of Information Technology, Bond University, Queensland, Australia. Dr.... ...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ... of the natural evolution of genetics. GAs emulate the biological evolutionary theory to solve optimization problems. In general, 50 GAs start... ...upervised by a superpoint and supervised by another parent. Since the existing theory of genetic algorithms cannot provide measurement for the perf... ...ch is not trivial at all. Here, f k is no longer required to be linear and the information of minimal solutions may be absent. A genetic algorithm ... ...oblems and proposed a new model, more expressive for representing the available information, and where the intended meaning of the membership degree... ...ons. This model is not capable of capturing the most general kind of incomplete information. 127 Reasoning in diagnosis problems: the com...

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...scu, V. Seleacu, "About the behaviour of some new functions in the number theory" (to appear this year) . "Collection of Problems on Smarandache No... ...tension ofan element of set (a). See Some Notions and Questions in Number Theory, edited by C Dumitrescu and V Seleacu, Erhus University Press, Glen... ...oblem (126) of [5] can easily be proven using well-known results of number theory 126) Smarandache Divisibility Theorem If a and m are integers, and... ...m - a)(m - I)' is divisible by m. Proof: The following theorem in number theory is well-known, Ifp is prime and a is a positive integer, then a P ... ... to Ifx E SPN then x f/: SPN which is a contradiction of the laws of set theory if x is indeed an element of SPN A statement equivalent to this wou... ...w York Springer-Verlag. 7. P Castini, Personal Correspondence Related to Information in the Smarandache Archives at Arizona State Lniversity 8 A S... ...Arizona State Lniversity 8 A Srinivas, Personal Correspondence Related to Information in the Smarandache Archives at Arizona State Lniversity 9. H ...

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...test details and behaviours. He punishes severely and abuses withholders of information and those who fail to conform to his wishes and goals. The n... ... uncover his actions and reveal the truth. He closely monitors and censors information from the outside, exposing his captive audience only to sele... ...ord, C. Fred. Narcissism: Socrates, the Frankfurt School and Psychoanalytic Theory. New Haven and London, Yale University Press, 1988 2. Devereux, G... ...University of Chicago Press, 1980 3. Fairbairn, W. R. D. An Object Relations Theory of the Personality. New York, Basic Books, 1954 4. Freud S. Three... ...the Personality. New York, Basic Books, 1954 4. Freud S. Three Essays on the Theory of Sexuality [1905]. Standard Edition of the Complete Psychologi... ...eenberg, Jay R. and Mitchell, Stephen A. Object Relations in Psychoanalytic Theory. Cambridge, Mass., Harvard University Press, 1983 9. Grunberger, ... ...hod of obtaining knowledge than the systematic study of outside sources of information in accordance with strict and tedious curricula. Narcissists... ...ssism: Implications for Practice", published by the Educational Resources Information Centre, the line between enhancing self-esteem and fostering... ... chance. React with your full arsenal to the first transgression. Abuse of Information From the first moments of an encounter with another person,...

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...r warriors on here, and to Sam Vaknin too, for providing this forum, and so much useful information. His writings are powerful and painful, and mark... ...me that based on what he has read in my journals and narratives, providing that all the information is correct (which it is) that my N is a psychopa... ...m o u t h . A s t i m e g o e s o n , a n d I s l o w l y v e r i f y s o m e o f t h e information, I have found that she has lied to me twice, and ... ...here I could hardly function at all. Everything I did, was by rote. Now that I have the information about NPD, it is much easier to stay away from m... ...ver change. They can't. What they are is their survival mechanism. If it wasn't for the information that I learned here I would probably be looking ... ...ey are interrelated, in my view, at least phenomenologically. We have no Grand Unifying Theory of Psychopathology. We do not know whether there are ... ...etic Trait Narcissism, violence and aggression might be hereditary. The NPA personality theory is presented. Narcissism: A Nine Headed Hydra? A typo...

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... SVFM : Sermaye Varlıkları Fiyatlama Modeli TAIEX : Technical Assistance and Information Exchange UK : United Kingdom (Birleşik Krallık) USA : ... ...dırılmıştır. Piyasa ile ilgili olan verilerin tamamı Technical Assistance and Information Exchange (TAIEX)’den alınmış olup, bu veriler Đ MKB tarafı... ...ol. 45, s.379-395. Fama, E.F. (1970); “Efficient Capital Markets: A Review of Theory and Empirical Work”, Journal of Finance, Vol. 25, s.383-417. -... ...f Political Economy, Vol. 81/3, s. 607-636. Figlewski, S. (1979); “Subjective Information and Market Efficiency in a Betting Market”, Journal of Pol... ...ancial Management, Vol. 9/1, s.67-88. Fromlet, H. (2001); “Behavioral Finance-Theory and Applications”, Business Economics, Vol. 36/3, s.63-74. Fu... ...urnal of Finance, Vol. 55, s.265-295. Hong, H.; Stein, J. (1999); “A Unified Theory of Underreaction: Momentum Trading and Overreaction in Asset Ma... ... Economics, Vol. 38/3, s.21-43. Kahneman, D.; Tversky, A. (1979); “Prospect Theory: An Analysis of Decision Under Risk” , Econometrica, Vol. 47, s... ...nomic Perspectives, Vol. 17/1, s.59-82. McLaney, E. (2003); Business Finance-Theory and Practice, 6 th Ed., Englewood: Prentice Hall. Menkhoff, L... ...Berkeley: University of California. ------------------- (2004); “Re-Examining Information Asymmetries in Emerging Markets”, Manuscript Submitted for...

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... education in the schools, what I meant was education through our means of information and disinformation, television, radio, newspapers. I think th... ...s process began with the Romans and then it was not a question of means of information. COMMENT: If we imagine this imperialism of the psyche, eve... ...e can experience pleasure in writing poetry, or developing a philosophical theory, or remembering a pleasurable experience in the past. But, as we s... ...t exists. What is the dramatic shock that happens when I present to you my theory of the SELF? You may answer: what is this SELF? Who has ever actua... ...hate the people themselves; he hated the evil that was within them. In my theory, I affirm that it is also necessary to learn how to hate. I also af... ... cause some problems for me, because they have more to do with a religious theory of humanity, rather than on the study of psychological mechanisms. ... ...o me and to my life. COMMENT: For me it is important to verify that this theory of the Person works for me, for me as a specific individual. AN...

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...This book also begins with that wondrous first Information Technology and then moves on to tales about the wonders of the written word—great stories, many of them likely new to most readers. In them, you‘ll find all the backgrounds, foregrounds, premises, conclusions, an...

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...Information Technology Tales Information Technology Tales By expanding the sharing of knowledge,... ...er to persuade nor indoctrinate but rather to foster curiosity about past Information Technology. Paraphrased from Henry Hobhouse’s introduction ... ...owledge without regard to an individual’s ability to pay.‖ Time Line of Information Technology Revolutions Epilogue Acknowledgments About t... ...beginning was the word—‖ This book also begins with that wondrous first Information Technology and then moves on to tales about the wonders of the... ... book titles in plain text or 2.5 million in compressed text. Such modern information technologies offer you a chance to learn how your world has be... ... (On page 621, it lists information science immediately before information theory. There‘s no definition of information technology between them.) In... ...ve taken place without God‘s guidance. Most evolutionists favor Savannah theory In the early 1930s, when I was growing up, most public school textb... ...rowing up, most public school textbooks cited the evolutionists‘ Savannah theory, believing that our apelike ancestors did the following:  Moved ... ...her primates and force them to live in flooded, swampy areas? Based on a theory developed in 1930 by British marine biologist Alistair Hardy, Elain...

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...Generalized Partitions and New Ideas On Number Theory and Smarandache Sequences Editor’s Note This book ar... ...OWA 42402 USA GENERALIZED PARTITIONS AND SOME NEW IDEAS ON NUMBER THEORY AND SMARANDACHE SEQUENCES Hexis P... ...ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 ... ...e On Maohua Le’s Proof of Murthy’s Conjecture On Reciprocal Partition Theory ………………. 18 1.4 Generalization of Partition Functions, Introducti... ...9 1.5 Open Problems and Conjectures On the Factor/Reciprocal Partition Theory ………………. 28 1.6 A General Result on the Smarandache Star Function... ...rs to the above questions leads to the need for the generalization of the theory of the partition function. Section 2 A Program to Determine t... ...papers, most of which appeared in “Smarandache Notions Journal”, and more information about SNJ is available at http://www.gallup.unm.edu/~smarandac...

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...nly geometry together with the purport of physical laws can do so... The idea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real world. It is also clear that the solid body and the clock do not in the conceptual edifice of physics play the part of irreducible elements, but that of ...

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...e ordered in a paper bound reprint from: Books on Demand ProQuest Information & Learning (University of Microfilm International) 30... ...dea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real ... ...on of Einstein's as reported by Rosser, p.398:[3] 7 The theory of relativity is often criticized for giving, without justificati... ...chooses for such a definition of time. It is advantageous, however, for the theory to choose only those processes concerning which we know something... ... will run faster there. Non sequitur. The upshot of all this is that the theory of relativity needs some heavy-duty reinterpreting. ... ...esis can be applied to are entities that do not have real mass or energy or information. The best example I can come up with is the difference betw... ...otential energy terms. These "spatial face" interaction space-forms carry information about the geometry of material in space. Such space-forms co... ...ion to the world's geometry. Understanding how to connect such (space-form) information is closely related to a model of a mind and also to the "voi... ...ntained in) that metric space. The spectral shapes that carry the geometric information of material in metric spaces, ie the interaction space-forms...

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...This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers and functions; and Some irrationality results. Chapter 1 deals essentially ...

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... Books on Demand ProQuest Information and Learning (University of Microfilm International) 30... ...s or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric the- orems; Di... .... . . . . . . . . . . . . 241 8 On certain new conjectures in prime number theory . . . . . . . . . . . . . 243 9 On certain conjectures by Russo . . ... ...ve made it clear that there exists a very intimate correlation between the Theory of numbers and other departments of Mathematics, not excluding geome... ...or simply, H-triangle) if its area = Area(ABC) is an integer number. The theory of H-triangles has a long history and certain results are many times... ...scovered. On the other hand there appear always some new questions in this theory, or even there are famous unsolved problems. It is enough (see e.g. ... ... p 2; 3 p 3; 4 p 5, etc. are irrationals. 271 The next corollary gives an information on certain irrational values of a trigonometric function. Corol...