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..., LIU DUANSEN (EDITORS) RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMB... ...ORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMBER THEORY Hexis Phoenix, AZ 2005 EDITORS: ZHANG WEN... ...UO, SHAANXI, P.R.CHINA RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMB... ...ORY (VOL. II) PROCEEDINGS OF THE FIRST NORTHWEST CONFERENCE ON NUMBER THEORY Hexis Phoenix, AZ 2005 ... ...llowing: ∗ This work is supported by N.S.F. of P.R.China(10271093) and the Education Department Foundation of ShannxiProvince(04JK132) 60 RESEARCHONS... ...b 1 = 1. ∗ This work is supported by N.S.F. of P.R.China (10271093)and the Education Department Foundation of ShannxiProvince(04JK132) 64 RESEARCHONS... ...x 2 3 ), ∗ This work is supported by N.S.F. of P.R.China(10271093) and the Education Department Foundation of ShannxiProvince(04JK132) 72 RESEARCHONS... ... 2 x ! . ∗ This work is supported by N.S.F. of P.R.China(10271093) and the Education Department Foundation of ShannxiProvince(04JK132) 76 RESEARCHONS... ...4,wehave ∗ This work is supported by N.S.F. of P.R.China(10271093) and the Education Department Foundation of ShannxiProvince(04JK132) 80 RESEARCHONS...

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...Fuzzy theory is one of the best tools to analyze data, when the data under study is an unsupervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indete...

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...NCES 290 INDEX 312 ABOUT THE AUTHORS 316 5 Preface Fuzzy theory is one of the best tools to analyze data, when the data under s... ...pervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indeterminacy.... ...l women in Tamil Nadu. Chapter 2 is an analysis of the situation using fuzzy theory in general and Fuzzy Relational Maps (FRM) in particular. The F... ... of the nodes/ concepts. In Chapter 4 for the first time we use neutrosophic theory in general and neutrosophic relational maps (NRM) in particular... ...ion is one obvious remedy. The vulnerability could be lessened through higher education, access to credit and equitable rights in the event of divor... ...l life history of 101 HIV/AIDS affected women mainly from rural areas with no education and from poor economic strata. 91 of them had been infected ... ...ng birth to many children at a very young age even if they know the value of education or realize the importance of education, they are helpless (... ...utes given by him related to rural uneducated women are W 1 - No basic education W 2 - No wealth / property W 3 - No empowerment W 4... ...so is what the expert precisely means by these attributes. W 1 - No basic education Most of these women have not even completed their primar...

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...The author's motivating interest the past few years has been the development and dissemination of G-dimensional theory (GDT). K. Toshihara, from Japan, proposed the concept of a paper defining G-Dimensional theory in relation to the Smarandache quantum paradoxes. After reviewing a draft, Dr. M. L. Perez, Editor of the SNJ, suggested th...

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... L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory Table 1A. Elliptic Pa... ...Research Press Rehoboth 2001 2 L. Stephen Young G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod... ...& THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Modern Quantum Theory T a b l e o f C o n t e n t s Pa... ...97-5092 Printed in the United States of America 4 G-DIMENSIONAL THEORY & THE SMARANDACHE QUANTUM PARADOXES: Comparative Logic and Mod...

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...tematically introduces the works obtained by using analytic methods on Smarandache problems, the book includes the basic knowledge of analytic number theory, mean value on some Smarandache sequences, infinite series involving some Smarandache functions, hybrid mean value of divisor function and so on. This book could open up the reader’s perspective, and inspire the reade...

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A book on number theory.

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The Chinese edition of Advances and Applications of DSmT for Information Fusion (Collected Works) that explains the Dezert-Smarandache Theory.

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...possible where the laws of nature are different. This is the same tired regularity theory in a more exotic guise. They are all descendants of Hume'... ...rld. It mainly arises when we introduce intentional action and perception into the theory of causation. Let us revert to the much- maligned owner of... ... property, planning, wealth and capital. Mental inequalities lead to innovation and theory. Knowledge differentials are at the heart of educational ... ...ualities lead to innovation and theory. Knowledge differentials are at the heart of educational institutions, professionalism, government and so on.... ...d logic): computability or recursive functions (later to be developed into Automata Theory). The authors confined themselves to dealing with comput... ... in the predicate calculus. Later it was shown that many functions (even in number theory itself) were not recursive, meaning that they could not b... ...iryat-Yam, Israel. Served in the Israeli Defence Force (1979-1982) in training and education units. Education 1970-1978: Completed nine semesters ...

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...ated by blacks. The freedmen lobbied hard and long for separate black churches and educational facilities. Nor was lynching confined to blacks. For... ...h consciousness. Still, numerous anecdotes recounted by eyewitnesses support the theory that consciousness survives in the first 2-6 seconds and ... ...aining an officer's rank, having been caught violating the curfew. He continued his education in Kitzbuhel, Austria, in Munich and in Geneva where h... ...n Vladimirovich Michurin (1855-1935) and his brand of Lamarckism - a pre-Darwinian theory of evolution of the species proposed in the French scient... ...t. A species with long necks was born. The Soviet leadership sought an indigenous theory to counter the "capitalistic" works of Mendel and Charles... ...Qiryat-Yam, Israel. Served in the Israeli Defence Force (1979-1982) in training and education units. Education Graduated a few semesters in th... ...cific Western University, California, USA. Graduate of numerous courses in Finance Theory and International Trading. Certified E-Commerce Concepts ...

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...sappears up the stairs. He checks into the drawers for any books on communication. He has an important paper on communication theory due in two da...

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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... ...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... ...denotes the greatest prime divisor of by . This work is supported by the Education Department Foundation of Shannxi Province (03JK213). 120 RESEARC... ...eal number , we have the asymptotic formula This work is supported by the Education Department Foundation of Shannxi Province (03JK213). 144 RESEARC... ...e have where , are computable constants. This work is supported by the Education Department Foundation of Shannxi Province (03JK213). 160 RESEARC...

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...The theory of loops (groups without associativity), though researched by several mathematicians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absen...

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... n c e s 113 I n d e x 119 5 PREFACE The theory of loops (groups without associativity), though researched by severa... ...the properties of loops are absent. This is in marked contrast with group theory where books are abundantly available for all levels: as graduate te... ...d as advanced research books. The only three books available where the theory of loops are dealt with are: R. H. Bruck, A Survey of Binary System... ...ein, H. O. Pflugfelder and J.D.H. Smith (editors), Quasigroups and Loops: Theory and Applications, Heldermann Verlag, 1990. But none of them are com... ...s. However, for the sake of readers who are involved in the study of loop theory we have provided a wide-ranging list of papers in the reference. We...

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...The electric book introduces the construction of hard disk, the theory of data saving, construction of file system, the reasons of data lost and the examples of data recovery in detail. For more information visit http://www.easeus.com ...

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...2, with 32-bit cluster numbers, of which 28 bits are currently used. In theory, this should support a total of approximately 268,435,438 (< 2 28 ) ...

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...The electric book introduces the construction of hard disk, the theory of data saving, construction of file system, the reasons of data lost and the examples of data recovery in detail. For more information visit http://www.easeus.com...

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...2, with 32-bit cluster numbers, of which 28 bits are currently used. In theory, this should support a total of approximately 268,435,438 (< 2 28 ) ...

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...A complete guide with instructions, templates and theory modules so as to help the teacher acquire ICT and interpersonal skills. The workshop aims to help teachers combat issues related with online identities....

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...Mexico 1989). He is the author of the Smarandache Function from the Number Theory [n:Z* - N, n(n) is the smallest integer m such that m! is divisible ... ...he Insolent Politeness", "At the Height of the Fall", "The Practice of the Theory", "Breakfast of Illusions", "Indigeste Poem of Digestion" are some t...

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...s lies in its affirmation of the existence of the Personal SELF (see A.M. “Theory of the Person and Existential Personalistic Anthropology”). This s... ...*** It is not easy to embrace Sophia-Art. It does not require learning a theory, it means applying it to daily life. Some ways we can do so are as... ...LOGIA PERSONALISTICA ** Ed. Sophia University of Rome (S.U.R.), Rome 1991 THEORY OF THE PERSON AND EXISTENTIAL PERSONALISTIC ANTHROPOLOGY Publishe... ... Sophia University of Rome, 2010 TEORIA DELL’INCONSCIO ESISTENZIALE {The Theory of the Existential Unconscious} Ed. Costellazione d’Arianna Rome 1... ...scious} Ed. Costellazione d’Arianna Rome 1995 TEORIA DELLA PERSONA {The Theory of the Person} 2° ed. Costellazione di Arianna, Rome 1992 ...

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...earthly environment. It defines every branch of science at its foundation, provides clear proofs, prescribes guidance and establishes a comprehensive educational system founded on fundamental principles. Preserved for humanity by nature, to be bequeathed to generations, this phase elucidates logically why things exist the way they do. Its realm includes the basis of mathem...

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...al is to cul- tivate open discourse about Kabbalah and science. His extensive educational activities awarded him the title Professor of Ontology fro... ...ss, frustra- tion, and emptiness engulf our lives. Family crises, a trou- bled educational system, drug abuse, personal insecurities, and fear of nuc... ...knowledge, prompted the evolution of human society and its social structures: education, cul- ture, science, and technology. Humanity marched proud- ... ..., it is quite prepared to advance toward following Nature’s law of altruism. Education and culture have always been es- tablished on altruistic prin... ...he younger generation suffers from an absence of values and ideology, and the education system is helpless and in decline. Violence and juvenile del... ...mals behave in this manner, and we shall briefly review the leading ones. The theory of “Group Selection” asserts that altruism serves the good of t... ...ch an animal be- longs, hence the specific animal is rewarded by it, too. The theory of “Kin Selection” explains that if altruism is turned toward t... ... it indirectly contrib- utes to the survival of its own genes. The “Symbiosis” theory argues that altruistic behavior is based upon the particular a...

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...al, or religious problems. 2. to help people adapt to the new reality, new education is required. until now, education was established as part of th... ...tablished as part of the egoistic framework and separated world. the new education needs to come naturally, rather than result from nature’s painfu... ...” Our instinct is to suppress the new to which they naturally aspire. New Education for a New World 1 0 7 4. here, for the first time in history, t... ...cation for a New World 1 0 7 4. here, for the first time in history, the educational role of the media should manifest. instead of being a dubious ... ...rce of information, the media needs to gain trust by con- tributing to the education of the new generation. this is precisely the role of the media, ... ...aLevi Ashlag (The Rabash), Michael Laitman, Professor of Ontology and the Theory of Knowledge, PhD in Philosophy and Kabbalah, and MSc in Medical Bi...