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...YSIS OF WOMEN WITH HIV/AIDS With Specific Reference To Rural Tamil Nadu in India W. B. Vasantha Kandasamy Department of Mathema... ...itute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Depar... ... H E X I S Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest I... ...ODELS TO ANALYZE HIV/AIDS WOMEN PATIENTS' PROBLEM 4.1 Use of NRM in the Analysis of the Problem 65 4.2 NAM model to study the Problem 77 ... ...iven by the HIV/AIDS patients 239 6.3 Conclusions from our mathematical analysis 241 APPENDIX 1. Linguistic Questionnaire 255 2. Table ... ... voiced to protect women from contracting HIV by sexual transmission and the complex issue of maternal transmission of HIV during pregnancy. Still ... ...ets aids us when we describe fuzziness, define fuzzy concepts and prove fuzzy theorems. Visualizing this geometry may by itself provide the most po... ...cement and sand all the time that too in the hot sun so only she has lost her complexion and skin texture. She has scabies in her hands and legs. Sh... ...ndari Ravindran, T.K. (1999), Female Autonomy in Tamil Nadu: Unravelling the Complexities. Economic and Political Weekly, April 17-24. 122. Sur,...

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...hought. It is a synthesis expressed through poetic language, but it also offers guidelines for the Cosmo-Art Movement. This volume sets out the seven Theorems and the seven Axioms of Cosmo-Art that together represent the Author’s new cosmological viewpoint, and it offers many answers to the fundamental questions that Human Beings have regarding the meaning of Life. The boo...

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... 1 Antonio Mercurio The Cosmo-Art Theorems and Axioms A New Poetic and Fascinating Cosmological Viewpoi... ...ioms A New Poetic and Fascinating Cosmological Viewpoint of Human Life in this Universe 2 Published by the Solaris Institute of... ... Under the following conditions: Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way tha... ... 4 Table of Contents Forward 5 Chapter I : The Cosmo-Art Theorems Preface on the Beginning 7 First Theorem ... ...Ulysseans' Nocturnal Navigation 64 5 Forward The Cosmo-Art Theorems and Axioms represents the apex of my anthropological and cosmolog... ...xioms represents the apex of my anthropological and cosmological ideas. In his book "Masks of the Universe", Edward Harrison amply describes human... ... Others) people. Every synthesis produces a quantum of secondary beauty. A complexity of quantums of beauty produces the immortal life of secondary ... ...d gives it its final shape. Synthesis is fusion. Fusion is the result of a complexity of causes that all work together according to the guidelines o... ... each other, and that then become all connected to each other by means of a complex, continual circular causality. Summing up, the type of artistic ...

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...ains 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 with geometric inequalities for the remarkable elements of t...

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...József Sándor GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS ... ...MATICS BABE Ş-BOLYAI UNIVERSITY 3400 CLUJ-NAPOCA, ROMANIA Geometric Theorems, Diophantine Equations, and Arithmetic Functions ... ... American Research Press Rehoboth 2002 This book can be ordered in microfilm format from: Books on Demand ... ... ISBN: 1-931233-51-9 Standard Address Number 297-5092 Printed in the United States of America "...It is just this, which gives the hi... ...themes have an arithmetic character (as 9-12) on number theoretic problems in Geometry. Chapter 2 includes various diophantine equations, some of whic... ... publication. J ozsef S andor 3 Contents Preface 2 Chapter 1. Geometric theorems 8 1 On Smarandache’s Podaire Theorem . . . . . . . . . . . . . . .... ... is very di cult to decide in this eld of Elementary Geometry - Algebra - Analysis) we note that (1) appears in [R. Sturm: Maxima und minima in der e... ...f type (1)-(3). 2. Inequality (1) is proved usually be means of vectors or complex numbers (or Stew- art’s theorem). For proofs, see [2] p.158, p.189.... ...ted ones, they have an interest, maybe suggesting ideas for attacking more complex problems, too. The equation (n) =n + 3 By X djn d = (n) we can w...

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...This book was developed from a paper I wrote for Russian and Baltic country psychologists. They had come to Italy to the Institute in Ascoli Piceno, which is a member of the Sophia University of Rome, to participate in a seminar on Sophia- Art and Cosmo-Art. The same paper was expanded and presented at the Second Ulyssiads of the Sophia University of Ro...

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... from Greek into English of the concept of “glorious concordance”, as found in Calzecchi Onesti’s work, which is an essential theme in the Author’s w... ...cchi Onesti’s work, which is an essential theme in the Author’s work. - In this text, several titles of the author’s books are mentioned. Some are... ...e mentioned. Some are already available English, and their titles are only in English. Some are in the process of being translated, and their titles... ...: primary beauty and beauty to be created: secondary beauty” in “Cosmo-Art Theorems and Axioms”). This is why it is necessary to integrate the c... ...consider the best is that light is necessary to create intelligent, highly complex beings. Light has nurtured us for millions of years. Bacteria b... ... including human beings, came from bacteria. Without intelligent, highly complex beings like humans, works of art could have never been created. W... ...poral - highly condensed material and immaterial energy - singularity and complexity of the energy field typical of a work of art - the ability to ... ...ks “The Ulysseans”, “La nascita della Cosmo-Art” {The Birth of Cosmo-Art}, Theorems and Axioms of Cosmo-Art}. They invite us to work wisely and with... ...OMI DELLA COSMO-ART ** Ed. Sophia University of Rome (S.U.R.), Rome 2004 THEOREMS AND AXIOMS OF COSMO-ART Published by The Solaris Institute of th...

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...ion some of the papers presented by the Author that the book contains. The book opens with an “Invitation” and then proceeds with “The Myth of Sophia-Analysis: life as a work of art”, “Choral Group Research on life as a work of art”, “The Cosmological vision of Sophia-Art”, “The Cosmo-Art Theorem”, “The Cosmo-Art Myth”, “The Myth of Ulysses contains the Cosmo-Art Myth”, “E...

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... Under the following conditions: Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way tha... ...anslations authorized by the Author. 3 Note from the translator: In this text, several of the author’s books are mentioned. Some are alread... ...e mentioned. Some are already available English, and their titles are only in English. Some are in the process of being translated, and their titles... ............................................ 9 CHAPTER I: The Myth of Sophia-Analysis: Life as a Work of Art ............................................ ...ts of the life of the universe. 13 CHAPTER I The Myth of Sophia-Analysis: Life as a Work of Art ** * * It is impossible to give just ... ... to give just one definition of Sophia-Analysis that would contain all its complexity and wealth of knowledge. Among the many definitions possible,... ...ci could be created, or that music could reach the level of perfection and complexity that it did in the works of Bach or Mozart. And yet all of thi... ...would always be incomplete and reductionist, and it could never explain the complexity of the universe all by itself. The point of view expressed i... ...LA COSMO-ART ** Ed. Sophia University of Rome (S.U.R.), Rome 2004 239 THEOREMS AND AXIOMS OF COSMO-ART Published by The Solaris Institute of th...

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Moral deliberations and philosophical dimensions in thirteen modern films.

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... The Silver Lining Moral Deliberations in Modern Cinema 3 rd EDITION Sam Vaknin, Ph.D. ... ... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...ing study of the psychopath and his victims. At the centre of this masterpiece, set in the exquisitely decadent scapes of Italy, is a titanic encoun... ...es. They remember. They compete. They make decisions. The Matrix is sufficiently complex to allow for this apparent lack of determinism and ubiqu... ... tell the difference. Moreover, if the Matrix were a computer program of infinite complexity, no observer (finite or infinite) would have been abl... ...rministic - but this determinism is inaccessible to individual minds because of the complexity involved. When faced with a trillion deterministic pa... ...mathematical logician, Kurt Gödel (1906-1978). A passing acquaintance with his two theorems would have saved the architect a lot of time. Gödel's F... ...obots with rigid instruction sets are ill suited to cope with that. Note - Godel's Theorems The work of an important, though eccentric, Czech- Aust... ...ompleteness and consistency of logical systems. A passing acquaintance with his two theorems would have saved the architect a lot of time. Gödel's ...

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...ILLENNIUM A) Definition: PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antit... ... science, based on excessive used of antitheses, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache s... ... Paradoxism =paradox +ism, means the theory and school of using paradoxes in literary and artistic creation. C) History: “Paradoxism sta... ... in scientific spaces (using scientific: symbols, meta-language, matrices, theorems, lemmas etc.). E) Third Paradoxist Manifesto. Therefore, don’... ...radoxismul… f ăr ă de fapt s ă-l fi înfiin ţat deloc! Exist ă a şa numitul Complex al lui Mathew: de a atribui unor personalit ăţi mari idei/realiz ... ...anifestos had a creative character, not at all nihilistic (C. M. Popa). An analysis of paradoxes in literature, art, science, since antiquity until ... ... in scientific spaces (using scientific: symbols, meta-language, matrices, theorems, lemmas etc.). 4. New literary terms Trough the “paradoxism”, t... ...esturile/ideile lor conteaz ă. Ei uit ă c ă arta/literele sunt subiective, complexe în form ă şi con ţinut, multi- stilistice, iar criticul sau poetu... ...ai ales în forma clasic ă. Şi, la fel ca în ştiin ţă, neliniaritatea e mai complex ă şi mai în relief. Neliniaritatea înlocuie şte s ăr ăcia metafor...

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...PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980’s who said: “The goal is to enlargem...

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...ILLENNIUM A) Definition: PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antit... ... science, based on excessive used of antitheses, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache s... ... Paradoxism =paradox +ism, means the theory and school of using paradoxes in literary and artistic creation. C) History: “Paradoxism sta... ... in scientific spaces (using scientific: symbols, meta-language, matrices, theorems, lemmas etc.). E) Third Paradoxist Manifesto. Therefore, don’... ...radoxismul… f ăr ă de fapt s ă-l fi înfiin ţat deloc! Exist ă a şa numitul Complex al lui Mathew: de a atribui unor personalit ăţi mari idei/realiz ... ...anifestos had a creative character, not at all nihilistic (C. M. Popa). An analysis of paradoxes in literature, art, science, since antiquity until ... ... in scientific spaces (using scientific: symbols, meta-language, matrices, theorems, lemmas etc.). 4. New literary terms Trough the “paradoxism”, t... ...esturile/ideile lor conteaz ă. Ei uit ă c ă arta/literele sunt subiective, complexe în form ă şi con ţinut, multi- stilistice, iar criticul sau poetu... ...ai ales în forma clasic ă. Şi, la fel ca în ştiin ţă, neliniaritatea e mai complex ă şi mai în relief. Neliniaritatea înlocuie şte s ăr ăcia metafor...

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...ich is also a very powerful algebraic tool that can yield itself to applications. With the recent introduction of bimatrices (2005) we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures....

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...In this section we give the definition of linear algebra and just state the few important theorems like Cayley Hamilton theorem, Cyclic Decomposition Theorem, Generalized Cayley Hamilton Theorem and give some properties about...

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...te of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department... ... HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Info... ... ISBN: 1931233-97-7 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ...t recall the basic definition of linear algebra and some of the important theorems. In section two we give the definition of S-linear algebra and s... ... we give the definition of linear algebra and just state the few important theorems like Cayley Hamilton theorem, Cyclic Decomposition Theorem, Gene... ...numbers. We are not interested in the study of these properties in case of complex fields. Here we recall the concepts of linear functionals, adjoin... ...other natural question would be can we have at least some of the classical theorems and some more classical concepts to be true in them. DEFINITI... ... ∪ V 2 over F. DEFINITION 3.2.8: Let F be a field of real numbers or complex numbers and V = V 1 ∪ V 2 be a bivector space over F. An inner ... ... β 1 ∪ β 2 ) = C ( α | β). (iii) ( β | α) = () | α β (bar-denoting the complex conjugation) (d) ( α | α) > 0 if α ≠ 0. i.e. ( α 1 ∪ α 2 | ...

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Critical analysis of the foundations and tenets of capitalism and of the dismal science - economics.

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...unet.com.mk or to vaknin@link.com.mk Visit the Author Archive of Dr. Sam Vaknin in "Central Europe Review": http://www.ce-review.org/authorarchi... ... of the Market XIII. The Myth of the Earnings Yield XIV. Immortality and Mortality in the Economic Sciences XV. The Agent-Principal Conundrum XV... ...of its practitioners sought to disguise its nature as a social science by applying complex mathematics where common sense and direct experimentatio... ...ictable. Either one cannot design an experiment to rigorously and validly test theorems and conjectures in economics - or something is very fla... ... to yield results only decades hence. There is no effective method of cost/benefit analysis applicable to such time horizons. How are consumer cho... ...rtising - regardless of its content. Humans may be too multi-dimensional and hyper- complex to be usefully captured by econometric models. These eit... ...iscern cyclical patterns in share prices. Other sages - such as Elliott - put forth complex "wave theories". Technical analysts now regularly employ... ...ively solved). The Universe is made up only of proven, provable propositions and of theorems. This is a reminder of our finiteness and to say otherw...

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...An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a commutative rin...

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... Research Press Rehoboth, NM 2002 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ...SBN: 1-931233-69-1 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface 5 ... ...gs and introduction to Smarandache loop-rings 20 2.3 Smarandache elements in loop rings 30 2.4 Smarandache substructures in loop rings 40 2.5 Gener... ...FACE An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But o... ...ll them. DEFINITION 1.1.3: A bilinear form on a vector space V (real or complex) is a mapping [x, y] → (x, y) of V × V into the set of (real or co... ...ymmetric if (x, y) = – (y, x) for all vectors x, y. A Hermitian form on a complex vector space V is a mapping [x, y] → (x, y) of V × V into the set ... ...ection three defines several types of Smarandache elements. Around twenty theorems are proved about these special Smarandache elements. Smarandache ... ...ysed and defined in section four. Over twenty definitions and thirty-five theorems about these Smarandache substructures are given. In the final sec... ...irect by the very definition of these concepts. We leave the following theorems as an exercise for the reader to prove. THEOREM 2.4.2: Every S...

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...ry 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 fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised...

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...ute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Departmen... ... HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inf... ... ISBN: 1-931233-87-X Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS P r e f a c e ... ...ed we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised data make use of the directed graphs ... ...ge disjoint union of cycles The reader is expected to prove the following theorems. THEOREM 2.6.2: A connected graph is Eulerian if and only if... ... graph. Example 2.6.6: The reader is expected to prove the following theorems: THEOREM 2.6.8: The closure cl (G) of a graph G is well defin... ...rs. However for bipartite graphs equality holds. The proof of the following theorems are left as a exercise. THEOREM [35]: If G is a loopless bipa... ...of users web behavior is described. Searching for information in general is complex, with lot of indeterminacies and it is an uncertain process for ... ...D.A. Farber. Beyond the Formalism Debate: Expert Reasoning, Fuzzy Logic and Complex Statutes, Vanderbilt Law Review, 52 (1999), 1243-1340. http://l...

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...ach for modeling the fusion problematic when the information provided by the sources is both uncertain and (highly) conflicting. This approach, known in literature as DSmT (standing for Dezert-Smarandache Theory), proposes new useful rules of combinations. We gathered in this volume a presentation of DSmT from the beginning to the latest development. Part 1 of this book pr...

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...ower set D_ . . . . 38 2.3 Example of the first hyper-power sets . . . 38 2.4 The generation of D_ . . . . 39 2.4.1 Memory size requirements and complexity . . . 39 2.4.2 Monotone Boolean functions . . . . 40 2.4.3 Generation of MBF . . . . 42 2.5 Conclusion . . . . . 45 2.6 References . . . . . 46 Appendix: MatLab code for generating hyper-power sets . . . 48 3...

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...I have met the Smarandache's world for the first time about one year ago reading some articles and problems published in the Journal of Recreational Mathematics. From then on I discovered the interesting American Research Press web site dedicated to the Smarandache notions and held by Dr. Perez (address: http://www.gallup.unm.edu/~smarandach...

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...A SET OF NEW SMARANDACHE FUNCTIONS, SEQUENCES AND CONJECTURES IN NUMBER THEORY Felice Russo AMERICAN RESEARCH PRESS Lupton USA 2000 Wrong... ...first time about one year ago reading some articles and problems published in the Journal of Recreational Mathematics. From then on I discovered the i... ... unsolved problems, notions and other proposed by Professor F. Smarandache in "The Florentin Smarandache papers" special collections at: the Arizona S... ...che Notions in number theory. Moreover a chapter (IV) is dedicated to the analysis of Smarandache Double factorial function introduced in number theo... ...dache-Prime and Pseudo Smarandache Divisor functions. For the first one, theorems, conjectures and open questions are given too. 23 1.2 PSEDO-SMA... ... ( ) 4 ( ) 3 ( ) 2 ( ) 1 ( Zw Zw Zw Zw Zw Let’s now start to prove several theorems about the Zw(n) function. n Zw(n) n Zw(n) n Zw(n)... ...= K c b a . Theorem 1.2.4 n n Zw £ ) ( Proof. Direct consequence of theorems 1.2.1, 1.2.2, and 1.2.3. Theorem 1.2.5 1 ) ( ‡ = k for p k p Zw... ...the natural numbers, discovering rationale, irrationale, transcendetal and complex numbers. However, the majority of the mathematicians recognize that... ...W(n)=n-1 if n is repunit (that is all the digits are 1). In the following analysis we will exclude this two species of integers. With the Ubasic pro...

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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applications in several real models. In fact it is not an...

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...Matrices provide a very powerful tool for dealing with linear models. Bimatrices which we are going to define in this chapter are still a powerful and an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model....

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...ute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Departmen... ... 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inf... ...ubl. Hse., Phoenix, Arizona Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ...se operations. In fact this property will be nice in a way, for, in all our analysis we would not in general get a solution from a set we have start... ... set we have started with. Only this incompleteness led to the invention of complex number or the imaginary number “i”. (Complex number i = 1 − ). ... ...e. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model. Thus for the first time the notion of bimatrices ... ...e, negative with zero, R the reals, Q the set of rationals and C the set of complex numbers. Z n will denote the set of integers modulo n. 8 ... ... between the vector spaces and bivector spaces. Thus we have the following theorems, the proof of which is left for the reader to prove. THEOREM... ...closed field and all polynomials are linearly reducible over , the field of complex numbers.) If for the linear bioperator we have characteristic b...

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...RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collected papers) Edited by ZHANG ... ... Hexis 200 4 RESEARCH ON SMARANDACHE PROBLEMS IN NUMBER THEORY (Collect ed papers) Edited b... ...ty Xi’an, P. R. China Hexis 2004 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ...t and , so from Theorem 2 we immediately have the limit 2. Proof of the theorems Now we prove the theorems. For any real numbers , with and , let... ...mula where is the Euler constant. 2. Some lemmas Before the proof of the theorems, some lemmas will be usefull. 14 RESEARCH ON SMARANDACHE PROBLEMS... ...e formula of . On the additive -th power complements 15 3. Proof of the theorems In this section, we will complete the proof of the theorems. First... ...here is the -power complement number of any positive integer , and is a complex number with Re . Several interesting identities are given. Keyword... ...l use the analytic method to calculate the value of the series where is a complex number with Re , and obtain several interesting identities. That i... ...That is, we shall prove the following several theorems: Theorem 1. For any complex number with , we have the identity where is the Riemann-zeta func...

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Essays and articles about modern physics, speculations in science, pseudo-science and the alleged incompatibility between God and modern science.

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...phical essays and Musings http://www.narcissistic-abuse.com/culture.html World in Conflict and T ransition http://samvak.tripod.com/guide.htm... ...e Asymmetry Re-Visited II. Negentropic Agents and the Increase of Entropy III. The Complexity of Simplicity IV. Bestowed Existence V. The Decohere... ... PHYSICS Time Asymmetry Re-Visited Abstract Time does not feature in the equations describing the world of elementary particles an... ...sms and species react the way they do to changes in their surroundings? Earth is a complex, orderly, and open system. If it were an intelligent bei... ... that it had "chosen" to preserve and locally increase form (structure), order and complexity. This would explain why evolution did not stop at the... ...to force us to consider this fact. If you make axioms, rather than definitions and theorems, about the "measurement" of anything else, then you com... ... of other defensive reactions are but sentences in the language (valid strings or theorems). Projection, for instance, is the sentence: "It is not... ...hin such explanations, to establish their truth-value and, thus, to convert them to theorems or hypotheses in a theory. There are four reasons to a...

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...perfection where a typical and single value does not exist), incomplete knowledge (ignorance of the totality, limited view on a system because of its complexity) or the acquisition errors (intrinsically imperfect observations, the quantitative errors in measures).”...

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... (second printed edition) 2002 This book can be ordered in microfilm format from: Books on Demand ProQuest Informati... ... ISBN: 1-931233-67-5 Standard Address Number: 297-5092 Printed in the United States of America First International Confe... ...unm.edu/~smarandache/FirstNeutConf.htm. A selection of them is being published in these Proceedings of the Conference. Abstracts of papers were... ... knowledge (ignorance of the totality, limited view on a system because of its complexity) or the acquisition errors (intrinsically imperfect observ... ...assical probability theory, with boolean logic and has a feasible computational complexity [46] for problems of small dimension. The DST is a powerful... ...cept the principle of indifference within the optimal Bayesian fusion rule. The complexity of DS rule of combination is important in general with larg... ... ing, Vol. 6, pp 295 319, 1992. [18] Erd¨ os P ., Ko C., Rado R.,“Intersection Theorems for Systems of Finite Sets”, Quart. J. Math. Oxford, 12, pp. ... ...rial Theory”, Blaisdell, 1967. [20] Hilton A.J., Milner E.C.,“Some Intersection Theorems of Systems of Finite Sets”, Quart. J. Math. Oxford, 18, pp. 3... ... (tending to pragmatic) criterium could be seen: the axioms which support silly theorems are not useful, and that is why we then call them silly. If t...

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ...The Metaphors of Mind – The Brain VII. The Metaphors of Mind - Psychotherapy VIII. In Defense of Psychoanalysis IX. Metaphors of Mind – The Dialog ... ...mfiture for his condition to qualify as a disease. To this extent, we are justified in classifying all diseases as "spiritual" or "mental". Is ther... ...ONE and the same. Disease is a perturbation in the operation and management of the complex ecosystem known as patient-world. Humans absorb their en... ...ers in Modern Life", Theodore Millon and Roger Davis define personality as: "(A) complex pattern of deeply embedded psychological characteristics... .... The same applies to the alleged heredity of mental illness. Single genes or gene complexes are frequently "associated" with mental health diagnos... ...ents within the plot, to establish their truth-value and, thus, to convert them to theorems. There are four reasons to account for this shortcoming... ...ents within the plot, to establish their truth-value and, thus, to convert them to theorems or hypotheses in a theory. There are four reasons to a... ...ents within the plot, to establish their truth-value and, thus, to convert them to theorems. There are four reasons to account for this shortcoming...

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Cyclopedia of issues in economics analyzed through the prism of the economies of countries in transition, emerging markets, and developing countries.

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ... and Musings: http://philosophos.tripod.com The Silver Lining – Ethical Dilemmas in Modern Films http://samvak.tripod.com/film.html Download f... ... another's right - should never be confused with one SHOULD or OUGHT to do morally (in the absence of a right). The right to life has eight distinc... ... and of perseverance which would have "normally" been called for, etc. Labelling a complex of actions and results "an achievement" requires social ... ...librium to the terrestrial ecosystem. Appendix - Order and the Universe Earth is a complex, orderly, and open system. If it were an intelligent bei... ... that it had "chosen" to preserve and locally increase form (structure), order and complexity. This explains why evolution did not stop at the pro... ...predictable. Either one cannot design an experiment to rigorously and validly test theorems and conjectures in economics - or something is very fla... ...rom this discussion because they constitute a meta-level: they result from the true theorems in the logical systems within which LP, PP and PA resid... ...ree categories (LP, PP, PA) yield the LN through the application of the rules (and theorems) of the logical system within which all four reside. We...

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...Cyclopedia of issues in modern philosophy: The philosophy of science and religion, the cognitive sciences, cultural studies, aesthetics, art and literature, the philosophy of economics, the philosophy of psychology, and ethics....

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... All rights reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovs... ... and Musings: http://philosophos.tripod.com The Silver Lining – Ethical Dilemmas in Modern Films http://samvak.tripod.com/film.html Download f... ... another's right - should never be confused with one SHOULD or OUGHT to do morally (in the absence of a right). The right to life has eight distinc... ... and of perseverance which would have "normally" been called for, etc. Labelling a complex of actions and results "an achievement" requires social ... ...librium to the terrestrial ecosystem. Appendix - Order and the Universe Earth is a complex, orderly, and open system. If it were an intelligent bei... ... that it had "chosen" to preserve and locally increase form (structure), order and complexity. This explains why evolution did not stop at the pro... ...predictable. Either one cannot design an experiment to rigorously and validly test theorems and conjectures in economics - or something is very fla... ...rom this discussion because they constitute a meta-level: they result from the true theorems in the logical systems within which LP, PP and PA resid... ...ree categories (LP, PP, PA) yield the LN through the application of the rules (and theorems) of the logical system within which all four reside. We...

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...In the history of thought and creation, the decisive events, the great and significant moments, the strongly affirmative stages - then the imposition of the optimizing novelties - have depended on the name and prestige of a...

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...In aesthetics, the paradox means the apparent resolution of an enigmatic situation (the result of such a process is the satisfaction of a distention), the emotional moving force being the unforeseen, the unexpected (which g...

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...escu American Research Press Rehoboth 2002 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University of Microf... ...marandache/ ISBN: 1-931233-53-5 Standard Address Number 297-5092 Printed in the United States of America 4 Foreword In the history of thought ... ...ose, we personalize further on. The examples are extremely numerous, even in our nearest past. When we mention a creation - in the largest sense of ... ...ecessary that Heisenberg’s relations of uncertainty should be remembered (complexity of the relation between observer and object). * Abraham Moses ... ...thor-theoretician enters with success into the field of interdisciplinary theorems: “A series of words is convergent but finds itself in the vicinit... ...conditions of the founding conscience: when the cultural performance has a complex scope, convergently directed (a situation in which “vanity, pride ... ...tist’s normal condition and the provocation his favorite weapon. In this complex of non-interrupted assault, we can delimit a specially efficient ha... ...aradoxist poetics is unexpectedly confirmed by Basarab Nicolescu’s Poetic theorems, based on the lupascian principle of included middle too. The aest... ... intarsies, of a paradoxical and visionary 74 density, from the poetic theorems. The confirmation following from them is itself of a paradoxist e...

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...A complete understanding of what something is must include an understanding of what it is not. In his paper, “Paradoxist Mathematics” [19], Florentin Smarandache proposed a number of ways in which we could explore “new math concepts and theories, especially if they run counter to the classical ones.” In a manner consis...

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...is a representation of an s-manifold illustrating some of the behavior of lines in an s-manifold. This book has been peer reviewed and recommen... ...erine D’Ortona, Mansfield University of Pennsylvania This book can be ordered in microfilm format from: Books on Demand ProQuest Information & ... ...nfo/fabz54. ISBN: 1-931233-44-6 Standard Address Number: 297-5092 Printed in the United States of America 3 Table of Contents Introducti... ...ntents Introduction 5 Chapter 1. Smarandache Manifolds 9 s-Manifolds 9 Basic Theorems 17 Other Objects 24 Chapter 2. Hilbert’s Axioms 27 Incide... ... most of the basic concepts of 2-dimensional geometry, and of course, all of the theorems of Euclidean geometry are based on them. Some s-manifold... ...ce will be ∞. This will occur if an s-manifold is not connected. 17 Basic Theorems Many of the concepts related to Riemannian manifolds can be... ...ht angles at G and H, we have that ∠HAB + ∠ABG + ∠HCG = 120º. This angle sum analysis can, of course, be extended to polygons with four or more si... ...hought, each theorem of Euclidean geometry is an object ready for an s-manifold analysis. Here, we will consider one example. 59 The alternate... ...band spaces As mentioned, the structure of the s-lines on the s-sphere is quite complex. We may perhaps gain some insight into this structure by con...

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...It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”....

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....

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...FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC... ...ress Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC... ... a new branch of philosophy: 13 2. Neutrosophic Logic - a unifying field in logics: 87 3. Neutrosophic Set - a unifying field in sets: 112 4. Neut... ...in scientific spaces (using scientific: symbols, meta-language, matrices, theorems, lemmas, etc.). 2.6. Third Paradoxist Manifesto: Therefore, don... ... of <A> restarts. 17 Marx's 'spiral' of evolution is replaced by a more complex differential curve with ups- and-downs, with knots - because evolut... ...or generalized to ∞-plementarity (with power of continuum), for there are complex mixed versions of them. Beyond indefinitely many states between 0 ... ...(a 1 ), (a 2 ), ..., (a n ). Developing [P], we find many propositions (theorems, lemmas, etc.) (p 1 ), (p 2 ), ..., (p m ), by logical combinat... ...encer's "organicism", which states that social evolution is from simple to complex and from homogeneous to heterogeneous, can be updated to a cyclic ... ...there is ugly mathematics. Clean the awful data to see the beauty of the theorems. Non-mathematicians crinkle into the problems. In the philo...

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...f modern rationalism – issued the thesis of ?the right of rationality to re-examine all knowledge and to accept as truth only what appears as obvious in itself, through the angle of reason?. The Cartesian thesis has a testimonial deed in the Socratic assertion on ?the identity between the moral and the rational?....

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... Research Press Rehoboth 2002 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University of Microf... ... ISBN: 1-931233-48-9 Standard Address Number 297-5092 Printed in the United States of America 4 Dedication to a nation with... ...ation to a nation with so much religious consistency as could be comprised in an endless column, with so much love and spirit of tolerance as to cove... ...spiritual, respectively, of the spatiotemporality, yet, upon an objective analysis, one can find that the hypotheses of the concept are of a scienti... ...e is any, in which case it would rather be a gland or endocrine glandular complex. As regards the transportation means of the extraterrestrial Being... ... respectively. The existence and disposition (array) of the two pyramidal complexes confirm: 1. The common, extraterrestrial origin of the two megal... ...re are reasons to also formulate a hypothesis according to which the Gizeh complex would have been built on a site predestined to this purpose ever s... ...conformist inability, have recourse to whimsical assumptions, in the last analysis of the same nature as the occultist ones. Any occultist ″speciali... ...ial manner, frequently used in mathematics, for demonstrating and solving theorems and absoluteness problems respectively. Pg. assertional...

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...In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesi...

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...e of Technology Madras Chennai – 600 036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv AMERICAN RESEA... ...th their liberal intersections, describe Smarandache algebraic structures. In fact, Smarandache Algebra, like its predecessor, Fuzzy Algebra, arose f... ... which is an amalgamation of alternatives. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ...on about standard groups in fuzzy terms are given. The proof of all these theorems are left for the reader to refer and obtain them on their own. ... ...G such that (aµ a –1 )(x) = µ (a –1 xa) for every x ∈ G. By using earlier theorems which states o(aµ a –1 ) = o(µ ) for any a ∈ G. For the sake o... ...ermed reducible. The following results which will be used are given as theorems, the proof are for the reader to prove. THEOREM 1.4.8: Any pri... ...iate modifications. Next we proceed on to define the concept of fuzzy complex near-rings. DEFINITION 1.8.11: Let V = {a + ib / a, b ∈ [0,1]} ... ... is easily verified. (V, ⊕, ☼) is a near-ring, which we call as the fuzzy complex near-ring. 111 Further P = {a / a ∈ [0,1]} and C = {ib / b ∈ ... .... 111 Further P = {a / a ∈ [0,1]} and C = {ib / b ∈ [0 1]} are fuzzy complex subnear-rings of (V, ⊕, ☼). PROPOSITION 1.8.1: V has non-trivi...

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...As if it wanted to be in accordance with the paradoxism and even to confirm it, the way the mathematician writer Florentin Smarandache is received is ... paradoxical. Tens of books, studies and articles have already been written about both, scient...

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... 2 Ion Soare PARADOXISM AND POSTMODERNISM IN FLORENTIN SMARANDACHE’S WORK ... ...ican Research Press Rehoboth 2001 3 This book can be ordered in microfilm format from: Bell and Howell Co. (University of Mi... ...er-art.htm ISBN: 1-931233-32-2 Standard Address Number 297-5092 Printed in the United States of America 4 Ion Soare PARADOXISM... ...ar the omission by some exegetes of this essential feature of paradoxism, the analysis being moved towards some collateral aspects regarding the arti... ...“polite disputants”. The cause could be not the ill-will, but an insufficient analysis of the smarandachian works, or perhaps a wrong understanding o... ... nunc, is not to analyze the above mentioned books- certainly two of the most complex and objective works concerning the paradoxist current and its ... ...the true?-asked the Poet). We refer to that “ incapacity” of words to express complex notions or a wide sphere of action, that determines the “ fou... ... “The poets are the physicians of sense”, he said, starting from The poetical theorems of Basarab Nicolescu, which are based on the lupascian princip... ...ian world; to Dinu Flamand this world reminded of Plato’s Republic ! 2) The complex nature of Smarandache with his deliberate seclusions for feveri...

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...As someone who works heavily in both math and computers, I can truly appreciate the role that logic plays in our modern world. One cannot understand the foundations of mathematics while lacking knowledge of the basics of logic and how proofs are construc...

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... Research Press Rehoboth 2002 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informati... ... ISBN: 1-931233-60-8 Standard Address Number: 297-5092 Printed in the United States of America 3 Foreword As someone who wor... ...ed States of America 3 Foreword As someone who works heavily in both math and computers, I can truly appreciate the role that logic pla... ... other logics will be clear. 4 As always, the creation of a book is a complex event, from the first germ of an idea to the last spot of glue in ... ... ¬p \/ ¬q, these operators can also be considered abbreviations for more complex expressions. In any case, we are led back to the basic principle t... ...n { A, B } = B, then max { A, B } = A. iii) This proof is done using case analysis. Case 1: A ≥ B ≥ C B /\ C = C and then A \/ C = A, so the left... ...rence is modus ponens, where → is defined in table 4. The following are theorems in L3V a) From A not zero we can infer A \/ B with at least the... ... for all elements, all ten results are direct consequences of the previous theorems where the associative property was verified for all the logics. ... ... Example: THE TWO DISTRIBUTIVE LAWS THAT WERE VERIFIED IN THE PREVIOUS THEOREMS ARE DUALS OF EACH OTHER. Definition 4.3.5: For any set S, if t...

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...fe of the universe. It tells the tale of a love story that is based on love as a decision and as a project. It is not a tale of love based on falling in love or, worse, on love as passion, which is so greatly celebrated in literature and in the public opinion, but which has never brought happiness to anyone and has, instead, brought great grief and tragedy. It is based on ...

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... Under the following conditions: Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way tha... ...n forces. The Odyssey is the greatest love story that has ever been told in the history of world literature. It is based not on love and death (li... ... from Greek into English of the concept of “glorious concordance”, as found in Calzecchi Onesti’s work, which is an essential theme in the Author’s w... ...osmo-Art} Published by the Sophia University of Rome, (S.U.R.) Rome, 2000, Theorems and Axioms of Cosmo-Art, Published by the Sophia University of R... ...f the single living organism that is the Cosmos in which we live (see A.M. Theorems and Axioms of Cosmo-Art, Published by Sophia University of Rome,... ... vital impetus from humanity’s nagging desire to become immortal (see A.M. Theorems and Axioms of Cosmo-Art, Published by Sophia University of Rome, ... ... conscious and unconscious components. The human Global I is made up of a complex structure that we still know very little about. The little that ... ...tay off to one side? Or does he participate in the banquet? The truth is complex and it is not always linear. While we earlier looked at how Ulys... ...fe to a human organism which will be complete in all its parts and all its complexity. I believe that many ova wonder whether or not it is better t...

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...Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a b...

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...The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Math... ...h the Library of Congress (DC). This journal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathS... .../ptep_online To order printed issues of this journal, con- tact the Editor in Chief. Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Edito... ... thenarmis@yahoo.com The black hole, which arises solely from an incorrect analysis of the Hilbert solution, is based upon a misunderstanding of the s... ...tion The variabler has given rise to much confusion. In the con- ventional analysis, based upon the Hilbert metric, which is almost invariably and inc... ...e is sign-alternating, generally speaking, the station- ary curvatures are complex as well as the stationary bivectors relating to them in theV n . Fo... ...e Q(Λ) and ˉQ(Λ) are three-dimensional matrices, the elements of which are complex conjugates, ε is the three- dimensional unit matrix. The matrix Q(Λ... ... of a characteristic implies that elementary divisors in both matrices are complex conjugates. There is no bar in the third kind because the elementar... ...fes the condition ∇σR αβγδ =0. satisfes the Zelmanov criterion. With these theorems we obtain the general relation be- tween the Zelmanov criterion fo...

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...t FRE and its applications. We have given only those papers which we could access and which interested us specially. We have taken those papers which in our opinion could be transformed for neutrosophic study....

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...stitute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Depar... ... HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest... ... ISBN: 1-931233-86-1 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS D e d i c a t i o... ...olve fuzzy relations on fuzzy sets defined as mappings from sets to [0,1]. Some theorems for existence and determination of solutions of certain bas... ...zzy sets defined as mappings from sets into complete Brouwerian lattices. Some theorems for existence and determination of solutions of certain bas... ...; A ⊗x = b}, i.e. S(A, b) : = S* (A, b) ∩ B (n). The proofs of the following theorems are left as an exercise for the reader and also one can get... ...n [6] tell us whether a fuzzy relation equation has solution? No. Due to the complexity in fact these problems exist not only in [6] but also in ... ...ifficult to apply or show limitations in the performances, for example, due to complex system structure [74]. FLC allows simple and more human appr... ...is notation [ [ … ]] for the truth degree will also be used in case … is a more complex expression than simply (3). As basic tools to build up more ...

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...e prezentate chiar la congrese si conferinse nasionale cat si internasionale [vezi "Lista publicasiilor autorului pe tema tezei"). Ea se structureazs in patru capitole: - in primele trei capi tole se introduc noi funsii in teoria numerelor, se studiazs proprietssile lor, probleme nerezol vate legate de ele, implicasii in lumea stiinsific! internasional! (ce alsi matematici...

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...stitute of Technology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Depar... ... HEXIS Church Rock 2004 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest... ... ISBN: 1-931233-86-1 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS D e d i c a t i o... ...olve fuzzy relations on fuzzy sets defined as mappings from sets to [0,1]. Some theorems for existence and determination of solutions of certain bas... ...zzy sets defined as mappings from sets into complete Brouwerian lattices. Some theorems for existence and determination of solutions of certain bas... ...; A ⊗x = b}, i.e. S(A, b) : = S* (A, b) ∩ B (n). The proofs of the following theorems are left as an exercise for the reader and also one can get... ...n [6] tell us whether a fuzzy relation equation has solution? No. Due to the complexity in fact these problems exist not only in [6] but also in ... ...ifficult to apply or show limitations in the performances, for example, due to complex system structure [74]. FLC allows simple and more human appr... ...is notation [ [ … ]] for the truth degree will also be used in case … is a more complex expression than simply (3). As basic tools to build up more ...

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...Do we really know what meaning to give to the term PERSON? In this book, the author proposes, through an in depth dialog with the students of the S.U.R. (Sophia University of Rome), the following answer: a PERSON is a spiritual, unifying principle that is endowed with its own freedom...

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... Under the following conditions: Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way that... ... at the most recent phase of this process of humans that create themselves. In this most recent phase, we say that humans have become capable of bein... ...he evolution of nature, it seems we can deduce that a law exists that acts in a very peculiar way when compared to other evolutionary laws. I would ... ...hildren. Here, then, is another conception of what is impossible. Through analysis, we have learned how to render possible the accomplishment of th... ...ted. You have already heard many times that what we practice is a type of analysis that is existential, as well as being psychoanalytical. What doe... ...ential, as well as being psychoanalytical. What does that mean? Existential analysis has to do with the actions an individual undertakes as a spiritu... ...t wants, but a human being, an I Person, cannot. The I Person is much more complex than just contraction and distension. COMMENT: What I meant to... ...to focus our attention on the growth process of the Person. This is a very complex process, and for now, I would like to outline three fundamental st... ...LLA COSMO-ART ** 106 Ed. Sophia University of Rome (S.U.R.), Rome 2004 THEOREMS AND AXIOMS OF COSMO-ART Published by The Solaris Institute of th...

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...Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several imp...

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... . This is a major difference between a ring and a Smarandache ring. For, in a ring the lattice representation of ideals is always a modular lattice... ...e lattice representation of ideals is always a modular lattice but we see in case of S-rings the lattice representation of S-ideal need not in gener... ...ion of S-ideal need not in general be modular. This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ... = {0, 1, 2, … , n-1}, Z p – set of integers modulo p, p – prime, Set of complex number of the from a+ib, a, b ∈ R or Q or Z is denoted by C. D... ...is a commutative ring. DEFINITION 2.5.4: Consider the subset of C (the complex field) given by Z[i] = {a + ib / a, b ∈ Z}. This is the set of int... ...is chapter. It introduces over 70 Smarandache notions and gives around 40 theorems with 55 illustrative examples. In several places the author le... ...semi ideal ring the reader is requested to construct examples and related theorems. Next we define yet another new notion called Smarandache pre-... ...tion. For any s ∈ S and x ∈ K; x 2 s ∈ S. Hence the claim. If K is a complex field the result may not be true. DEFINITION [25]: A ring A is ... ...hat υ n + ω n = ν n . The reader is requested to prove the following theorems: THEOREM 4.3.21: If R is a S-TI-ring then R is a TI-ring. ...

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...of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998. In the year 1999, bivector spaces was introduced. In 2001, concept of free De Morgan bisemigroups and bisemilattices was studied. It is said...

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...ican Research Press Rehoboth 2003 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informat... ...BN: 1-931233-71-3 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface Chapter One: I... ...s solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was publishe... ...if H itself is a group under the operations of G. The following classical theorems on group are just recalled. LAGRANGE THEOREM: If G is a finite ... ...B is a group under the operations of S. Several nice characterizations theorems can be had from [121]. DEFINITION 1.2.7: Let S be a S-semigroup... ... cannot be constructed using the set of reals or integers or rationals or complex or modulo integers without the aid of another algebraic structure ... ...other natural question would be can we have at least some of the classical theorems and some more classical concepts to be true in them. DEFINITIO... ...ration under which X is a bistructure. Thus we call these bistructures as complex bistructure. So the example 9.1.2 is a complex bistructure. Our... ...set X so that X is a bistructure or not. 232 ii. Stable bistructure or complex bistructure. iii. Conditions on X so that it is always an adamant ...

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...Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a b...

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...The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Math... ...h the Library of Congress (DC). This journal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathS... .../ptep_online To order printed issues of this journal, con- tact the Editor in Chief. Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Edito... ...ites paradoxes. Defnitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry (edited by M. L. Perez), Xiquan Pub-... ..., divergent, nondifferentiable partW of zero mean. Both velocity felds are complex due to a fundamental two- valuedness of the classical (differentiab... ...able) velocity issued from the nondifferentiability [1]. Then one builds a complex covariant total derivative that reads in the simplest case (spinles... ...dt =0. (2) Let us explicitly introduce the real and imaginary parts of the complex velocityV=V −iU, dV dt = ∂ ∂t +V.∇ −i{U.∇+DΔ} (V−iU)=0. (3) ... ... a ν =γ μ γ ν D μ a ν (57) where D μ is the covariant derivative of tensor analysis. Decomposing the Clifford product γ μ γ ν into its sym- metric and... ...nopoles in Maxwell’s theory was investigated by [89] and a recent critical analysis of “unifed” theories of gravity with electromagnetism has been pre...

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...ts reserved. This book, or any part thereof, may not be used or reproduced in any manner without written permission from: Lidija Rangelovska – writ... ... A Medium or a Message? http://samvak.tripod.com/internet.html World in Conflict and Transition http://samvak.tripod.com/guide.html ... ...ndent, and the editor of mental health and Central East Europe categories in The Open Directory and Suite101. Between 1999-2002, he served as the Ec... ...rism.org has developed a statistics-based technology (the "Document Source Analysis") which creates a "digital fingerprint" of every document in its ... ...sumer network) - to an actual sale is a convoluted, multi-layered, highly complex process. It is not a "black box", better left unattended to. It is ... ...o and sound were to make their appearance even later. This error in trend analysis left the field wide open to the likes of Encarta and Grolier. The ... ...ctions? Does the cost of purchasing the media come into play? A. It's a complex canvass of motivations, I guess. Many media products (especially i... ...and Yahoo!3D is no more), bookmark web destinations, and navigate through complex sites. Different metaphors are used as interface. Web sites are r... ...ed). The Universe is made up only of proven, provable propositions and of theorems. This is a reminder of our finiteness and to say otherwise would,...

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...rge of any kind. Any person using this document file, for any purpose, and in any way does so at his or her own risk. Neither the Pennsylvania State U... ...ntained within the document or for the file as an electronic transmission, in any way. Confessions of an English Opium-Eater by Thomas de Quincey, the... ...ngoing student publication project to bring classical works of literature, in English, to free and easy access of those wishing to make use of them. C... ...ties for observing what went on, I saw many scenes of London intrigues and complex chica- nery, “cycle and epicycle, orb in orb,” at which I sometimes... ...ng who deals much with opium: its pleasures even are of a grave and solemn complexion, and in his happiest state the opium-eater cannot present himsel... ...say them, and truth ever was, and will be, commendable. But in these three theorems I believe we have exhausted the stock of knowl- edge as yet accumu... ...says in Athenaeus), that men [Greek text]—display themselves in their true complexion of character, which surely is not disguising themselves. But sti... ...hat happiness is, if anybody does. And there- fore I will here lay down an analysis of happiness; and as the most interesting mode of communicating it...

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...ine that any part of what I have to relate can be interesting to the public as a narrative or as being connected with myself. But I have thought that in an age in which education and its improvement are the subject of more, if not of profounder, study than at any former period of English history, it may be useful that there should be some record of an education which was u...

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...rge of any kind. Any person using this document file, for any purpose, and in any way does so at his or her own risk. Neither the Pennsylvania State U... ...ntained within the document or for the file as an electronic transmission, in any way. Autobiography by John Stuart Mill , the Pennsylvania State Univ... ...ngoing student publication project to bring classical works of literature, in English, to free and easy access of those wishing to make use of them. C... ...sion on the other), and had re duced it to rules, grounded on the logical analysis of a sen tence. These rules he strongly impressed upon me, and to... ...nce; and when I found scientific classifica tion applied to the great and complex subject of Punishable Acts, under the guidance of the ethical princ... ...mena by the law of association, com mended itself to me at once as a real analysis, and made me feel by contrast the insufficiency of the merely verb... ...tham’s involved and parenthetical sentences as seemed to overpass by their complexity the measure of what readers were likely to take the pains to und... ... No system: only a conviction that the true system was something much more complex and many sided than I had previously had any idea of, and that its ... ...s. How, being so contained and implied, it could be new truth, and how the theorems of geometry, so different in appearance from the definitions and a...

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............................................................................................................................ 27 Chapter 1.2.II. Petition in Hieroglyphs. ...................................................................................................................... 30 Chapter 1.2.III. Questionable. ...........................................................

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...rge of any kind. Any person using this document file, for any purpose, and in any way does so at his or her own risk. Neither the Pennsylvania State U... ...ntained within the document or for the file as an electronic transmission, in any way. The French Revolution: A History by Thomas Carlyle, the Pennsyl... ...ngoing student publication project to bring classical works of literature, in English, to free and easy access of those wishing to make use of them. C... ...), in the Military School hard by there sat, studying mathematics, a dusky-complexioned taciturn Boy, under the name of: Napo- leon Bonaparte!—With fi... ...Besenval, iii. 385, &c.) with sallow faces, lank hair (the true enthusiast complexion), with sooty rags; and also with large clubs, which they smite a... ...atsoever, 86 The French Revolution could they but write. Their enthusiast complexion, the smit- ing of their sticks bodes little good to any one; lea... ...ies: theorem, that one should march rather with Saint-Antoine; innumerable theorems, that in such a case the wholesomest were sleep. And so the drums ... ... 3.4.V. Sword of Sharpness. In fact it is something quite other than paper theorems, it is iron and audacity that France now needs. Is not La Vendee s... ...nough. But what if History were to admit, for once, that all the Names and Theorems yet known to her fall short? That this grand Prod- uct of Nature w...