Description Details
“The Analects of Confucius” are considered a record of the words and acts of Confucius and his disciples, as well as the discussions they held. Written during the Spring and Autumn Period through the Warring States Period（475 BC - 221 BC) the Analects is the representative work of Confucianism and continues to have a tremendous influence on Chinese and East Asian thoughts and values today. In neutrosophy, between two ends there are many, sometimes a continuous range of neutralities (degrees of middle, or degrees of synthesis). Each middle (called “neutrality” or “indeterminacy” in neutrosophy) is a k% degree of truth and a (100-k)% degree of falsehood. We have a paradox if the sentence is 100% true, 100% false, and 100% indeterminate....

Excerpt Details
Negative Part 3 You want to know a person truly, not only to understand this person’s words, but also understand this person’s actions and ideas. Commentary on Negative Part 3 Confucius did not mention to understand people’s ideas. While the words and actions are controlled by the ideas. Neutrosophic Part 3 The person’s time and energy were limited. For knowing a man truly, besides one person’s ability, other person’s help is needed in many cases, sometimes even the machine and the measuring appliance and so on are needed....

Table of Contents Details
Brief Introduction ……………………………………..3 Foreword………………………………………………..5 Positive, Negative and Neutrosophic Book 1…...……..13 Positive, Negative and Neutrosophic Book 2………….30 Positive, Negative and Neutrosophic Book 3………….48 Positive, Negative and Neutrosophic Book 4……….....54 Positive, Negative and Neutrosophic Book 5……….....58 Positive, Negative and Neutrosophic Book 6……….....63 Positive, Negative and Neutrosophic Book 7……….....69 Positive, Negative and Neutrosophic Book 8……….....74 Positive, Negative and Neutrosophic Book 9……….....79 Positive, Negative and Neutrosophic Book 10….……..84 Positive, Negative and Neutrosophic Book 11………...89 Positive, Negative and Neutrosophic Book 12….……..95 Positive, Negative and Neutrosophic Book 13……….101 Positive, Negative and Neutrosophic Book 14.………108 Positive, Negative and Neutrosophic Book 15……….115 Positive, Negative and Neutrosophic Book 16……….120 Positive, Negative and Neutrosophic Book 17……….126 Positive, Negative and Neutrosophic Book 18.………132 Positive, Negative and Neutrosophic Book 19……….136 Positive, Negative and Neutrosophic Book 20…….…141 Postscript ………………………………………...

Description Details
Florentin’s Laws are neither Murphy’s (pessimistic) Laws nor Peter’s (optimistic) Laws, but partially pessimistic and partially optimistic, while another part is neutral (ambiguous: neither pessimistic nor optimistic) – as in neutrosophic logic. Therefore, each Florentin’s law includes negatives and positives, unlike Murphy’s law which has only negative attributes, and respectively Peter’s law which has mostly positive attributes or results....

Excerpt Details
Florentin’s Laws: To hell with Murphy, deviate! 1. If anything can go wrong, pass it on to someone else! 2. When your team wins, it is thanks to you. If the team looses, it is because of others. 3. Get a reason to award your friends, and a pretext to punish your enemies. 4. Even good things have negative side effects. Moreover, negative things have positive side effects. 5. Don’t play by others’ rules. Build your own rules that allow you to win. If you still don’t win, prove the game is useless. 6. If he’s better than you, deny him. If he’s worse than you, praise him....

Table of Contents Details
Preface: If anything can go wrong, pass it on to someone else! Adventures and Variations in Murphy's Law: 4 What and Why Florentin’s law: 8 Florentin’s Laws: To hell with Murphy, deviate!: 13 Florentin’s Laws: Ignore Peter’s, relax!: 17 Florentin’s Interdisciplinary Laws: 19 More variations in Florentin’s law: 22 Call for Contributions: backcover...

Description Details
This book has four chapters. In chapter one we just recall the notion of RD codes, MRD codes, circulant rank codes and constant rank codes and describe their properties. In chapter two we introduce few new classes of codes and study some of their properties. In this chapter we introduce the notion of fuzzy RD codes and fuzzy RD bicodes. Rank distance m-codes are introduced in chapter three and the property of m-covering radius is analysed. Chapter four indicates some applications of these new classes of codes....

Excerpt Details
DEFINITION 1.12: The ‘norm’ of a word v _ VN is defined as the ‘rank’ of v over GF(2) (By considering it as a circulant matrix over GF(2)). We denote the ‘norm’ of v by r(v). We just prove the following theorem. THEOREM 1.2: Suppose ____GF(2N) has the polynomial representation g(x) over GF(2) such that the gcd(g(x), xN +1) has degree N – k, where 0 _ k _ N. Then the ‘norm’ of the word generated by _ is ‘k’. ...

Table of Contents Details
Preface 5 Chapter One BASIC PROPERTIES OF RANK DISTANCE CODES 7 Chapter Two RANK DISTANCE BICODES AND THEIR PROPERTIES 25 Chapter Three RANK DISTANCE m-CODES 77 Chapter Four APPLICATIONS OF RANK DISTANCE m-CODES 131 FURTHER READING 133 INDEX 144 ABOUT THE AUTHORS 150...

Description Details
Our book will update the old Chinese thinking in Tao Te Ching to the modern way of life, where contradictions are accepted and two opposite ideas 'A' and 'nonA' and their neutrality 'neutA' can all three be true at the same time. Firstly, we are willing to point out that 'Tao Te Ching' already has some limitation, because many questions we are interested in cannot be answered within 'Tao Te Ching'. For example, 'Tao Te Ching' basically discussed the matters in China, however considering all possible situations it should matter in foreign countries as well, i.e. the “global village”. This was impossible in Lao Tzu’s time. Secondly, if the original “Tao Te Ching” is regarded as “Positive Tao Te Ching”, its opposite is “Negative Tao Te Ching”, while the intermediate or compound state is “Neutral Tao Te Ching”. Thus, our book presents the way to extend the original “Tao Te Ching” in various neutrosophic interpretations....

Excerpt Details
Positive (Original) Chapter 1 The Way that can be followed is not the eternal Way. The name that can be called is not the eternal name. The Principle that can be explained is not the eternal Principle. “Nonexistence” is the name of the origin of heaven and earth; “Existence” is the name of creating the myriad things. Therefore, the essence of Principle always can be seen from “Nonexistence”; The operation of Principle always can be seen from “Existence”. These two are profound and from the same origin, while their titles are different. More and more profound, that is the general door to all essences. Negative Chapter 1 The Way that cannot be followed is the Eternal Way. The name that cannot be called is the eternal name. The Principle that cannot be explained is the eternal Principle. ‘Nonexistence’ is not the name of the origin of heaven and earth; ‘Existence’ is not the name of creating the myriad things. Therefore, the essence of Principle cannot ever be seen from ‘Nonexistence’; The operation of Principle cannot ever be seen from ‘Existence’. These two are simple and from the different origins, while their ti...

Table of Contents Details
Brief Introduction……………………………………………………..……….3 Foreword………………………………………………………………..………6 Positive, Negative and Neutrosophic Chapter 1…………………………….14 Positive, Negative and Neutrosophic Chapter 2…………………………….16 Positive, Negative and Neutrosophic Chapter 3…………………………….18 Positive, Negative and Neutrosophic Chapter 4…………………………….19 Positive, Negative and Neutrosophic Chapter 5…………………………….20 Positive, Negative and Neutrosophic Chapter 6…………………………….21 Positive, Negative and Neutrosophic Chapter 7…………………………….22 Positive, Negative and Neutrosophic Chapter 8…………………………….23 Positive, Negative and Neutrosophic Chapter 9…………………………….24 Positive, Negative and Neutrosophic Chapter 10…………………….……..24 Positive, Negative and Neutrosophic Chapter 11…………………….……..26 Positive, Negative and Neutrosophic Chapter 12…………………….……..26 Positive, Negative and Neutrosophic Chapter 13…………………….……..27 Positive, Negative and Neutrosophic Chapter 14………………….………..28 Positive, Negative and Neutrosophic Chapter 15………………….………..29 Positive, Negative and Neutrosophic Chapter 16……………….…………..30 Positive, Negative and Neutrosophic Chapter 17………………….………..31 Positive, ...

Description Details
Законы Флорентина не ЯВЛЯЮТСЯ ни законами Мэрфн (песс имистичны), ни законами Питера (О ПТИМИСТИЧНЫ), часть из них пессимистична, часть оптимистична, они также частично нейтральны (НИ ОПТИМИСТИЧНЫ, ни пессимистичны), ЧТО-ТО вроде нейтрозофическои ЛОГИКИ. Поэтому в каждом законе Флорентина есть негатив и ПОЗИТИВ, в то время как законы Мэрфи негативны, а законы Питера включают позитивные атрибуты. Florentin’s Laws are neither Murphy’s (pessimistic) Laws nor Peter’s (optimistic) Laws, but partially pessimistic and partially optimistic, while another part is neutral (ambiguous: neither pessimistic nor optimistic) – as in neutrosophic logic. Therefore, each Florentin’s law includes negatives and positives, unlike Murphy’s law which has only negative attributes, and respectively Peter’s law which has mostly positive attributes or results....

Excerpt Details
ЗАКОН ФЛОРЕНТИНА, ЧТО И ПОЧЕМУ с 1980 года работают законы Флорентина: I.Всё ВОЗМОЖНО, невозможное тожеl 2.Ничто несовершенно,даже совершенное! З.Всё ПЛОХО,включая хорошее.и наоборот. 4 .Смысл включает бессмыслицу, и бессмыслица включает СМЫСЛ. 5.Всё обладает и не обладает величиной. Новая серия законов появилась в 1986- 1989 годах. Starting from the 1980 Paradoxism’s Laws: 1. All is possible, the impossible too! 2. Nothing is perfect, not even the perfect! 3. Everything is bad, the good included – and reciprocally; 4. The sense has a non-sense, and the nonsense a sense; 5. Anything has a value and a non-value; a new series of laws emerged in 1986-1989....

Description Details
The Florentin's Cliché should be constructed as follows: - Change the figurative language [figure of speech] of a cliché to a literal language; - Or distort the clichés, make them abnormal, deviate their common sense by simple substitutions of words; - Or eliminate some words from a cliché, or switch the verbs between assertion and negation, in order to give the cliché a surprising new significance: - Or consider a chain of (more or less) contradictory clichés and put together with a unitary semantics; - Or juxtapose a cliché with a … (partial or total) contradictory syntagma! And as a whole the Florentin’s Cliché should be bended with humor. ...

Excerpt Details
51. To be in the right place at the left time! 52. The German language you learn it’s Greek to me 53. This dirty and shaded homeless saved me like a knight in shinning armor 54. In cold blood but hot under the collar he throws cold water on her to getting hot 55. Do not step on his toes, but on his shoes. 56. I don’t like you. Nice to see you! 57. The director jumped to conclusion from the third floor through the window… ...

Table of Contents Details
Preface: Changing the Figurative Language to a Literal Language: 4 Florentin’s Clichés: 12

Description Details
Eleven linguistic categories are presented (Murphy’s laws, the clichés, homonyms, tautologies, proverbs, metagrams, translations, definitions, figures of paradoxism, monorhymes, and abbreviations), which afterwards are respectively turned into their corresponding Florentin’s Laws, clichés, homonyms, etc. and exemplified....

Table of Contents Details
Let’s Make Experiments in Linguistics (General preface) - 6 1. FLORENTIN’S LAWS If anything can go wrong, pass it on to someone else! - 8 1.1. ADVENTURES and VARIATIONs IN MURPHY’s LAW (Preface) - 9 1.2. What and Why Florentin’s law - 11 1.3. Florentin’s Laws / !An Author to the Cube! - 13 1.3.1. Florentin’s Laws: To hell with Murphy, deviate! - 14 1.3.2. Florentin’s Laws: Relax Peter’s! - 16 1.3.3. Florentin’s Interdisciplinary Laws - 18 1.3.4. More Variations in Florentin’s Law - 20 2. FLORENTIN’S CLICHÉS The dictator lifts the state of emergency with a crane - 22 2.1. Changing the Figurative Language to a Literal Language (Preface) - 23 2.2. Florentin’s Clichés - 28 3. FLORENTIN’S HOMONYMS Send me an e-male - 36 3.1. Preface: Send me an e-male = Florentin’s Homonyms = - 37 3.2. Florentin’s Homonyms - 39 3.2.1. First face of the story (Homophones) - 40 3.2.2. Second face of the story (Homophones) - 42 3.2.3. Multiple faces of the story (Homophones) - 44 3.2.4. Others (Homographs) – 45 4. FLORENTIN’S TAUTOLOGIES - 46 4.1. About Florentin’s Tautologies - 47 5. FLORENTIN’S PROVERBS - 48 5.1. Introduction: Dev...

Description Details
The main purpose of this paper is using the elementary method to study the mean value properties of the Smarandache function, and give an interesting asymptotic formula....

Excerpt Details
x1. Introduction In reference [1], the Smarandache Sum of Composites Between Factors function SCBF(n) is defined as: The sum of composite numbers between the smallest prime factor of n and the largest prime factor of n. For example, SCBF(14)=10, since 2£7 = 14 and the sum of the composites between 2 and 7 is: 4 + 6 = 10. In reference [2]: A number n is called simple number if the product of its proper divisors is less than or equal to n. Let A denotes set of all simple numbers. That is, A = f2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 13; 14; 15; 17; 19; 21. ...

Table of Contents Details
On the Smarandache function and square complements 1 Zhang Wenpeng , Xu Zhefeng On the integer part of the k -th root of a positive integer 5 Zhang Tianping , Ma Yuankui Smarandache “Chopped” NN and N + 1N¡1 9 Jason Earls The 57 -th Smarandache’s problem II 13 Liu Huaning , Gao Jing Perfect Powers in Smarandache n - Expressions 15 Muneer Jebreel Karama On the m -th power residue of n 25 Li Junzhuang and Zhao Jian Generalization of the divisor products and proper divisor products sequences 29 Liang Fangchi The science of lucky sciences 33 Jon Perry Smarandache Sequence of Unhappy Numbers 37 Muneer Jebreel Karama On m -th power free part of an integer 39 Zhao Xiaopeng and Ren Zhibin On two new arithmetic functions and the k -power complement number sequences 43 Xu Zhefeng Smarandache Replicating Digital Function Numbers 49 Jason Earls On the m -power residues numbers sequence 53 Ma Yuankui , Zhang Tianping Smarandache Reverse Power Summation Numbers 57 Jason Earls Some Smarandache Identities 59 Muneer Jebreel Karama On the integer part of a positive integer’s k -th root 61 Yang Hai , F...

Description Details
Chapter one is introductory in nature and chapter two uses vector spaces to build quasi set topological vector subspaces. Not only we use vector spaces but we also use S-vector spaces, set vector spaces, semigroup vector spaces and group vector spaces to build set topological vector subspaces. These also give several finite set topological spaces. Such study is carried out in chapters three and four....

Excerpt Details
To every quasi set topological vector subspace T relative to the set P  F, we have a lattice associated with it we call this lattice as the Representative Quasi Set Topological Vector subspace lattice (RQTV-lattice) of T relative to P. When T is finite we have a nice representation of them. In case T is infinite we have a lattice which is of infinite order. We can in all cases give the atoms of the lattice which is in fact the basic set of T over P. It is pertinent to keep on record that the T and the basic set (or the atoms of the RQTV-lattice) depends on the set P over which it is defined. We will illustrate this situation by some examples. ...

Table of Contents Details
Preface 5 Chapter One INTRODUCTION 7 Chapter Two QUASI SET TOPOLOGICAL VECTOR SUBSPACES 9 Chapter Three S-QUASI SET TOPOLOGICAL VECTOR SUBSPACES 59 Chapter Four NEW SET TOPOLOGICAL VECTOR SPACES 89 FURTHER READING 147 INDEX 149 ABOUT THE AUTHORS 152...

Description Details
Volumul de faţă adună o mână de studii, articole şi consemnări din presa românească despre scriitorul şi omul de ştiinţă Florentin Smarandache, mişcarea lite-rar-artistică pe care a iniţiat-o (Paradoxismul) şi una dintre teoriile pe care le-a dezvoltat (Viteza Supra-luminală); câteva mesaje adresate acestuia şi o addenda ilustrată vin să contureze peisajul ştiinţific, artistic şi uman în care se mişcă unul dintre cei mai prolifici, mai interesanţi şi mai apreciaţi români ai momentului. This volume gathers a handful of studies, articles and records of Romanian press about the writer and scientist Smarandache rare literary and artistic movement that initiated it (Paradoxism) and one of the theories he developed (Over-luminal speed) address and a few messages come to shape the landscape addenda illustrated scientific, artistic and human that moves one of the most prolific, most interesting and Romanian appreciate the moment....

Excerpt Details
Florentin Smarandache este unul dintre cei mai cunoscuți scriitor români în afara ţării natale. Activităţile sale literare şi ştiinţifice sunt impresionante. Peste 3.000 de pagini de jurnal nepublicate (datorate călătoriei şi traiului în jurul lumii, dornic să ştie şi să întâlnească oameni şi să studieze diferite culturi). La Arizona State University, Hayden Library, în Tempe, Arizona, există o mare colecţie specială numită “The Florentin Smarandache Papers” (care are mai mult de 30 de picioare liniare / linear feet) cu cărţi, reviste, manuscrise, documente, CD-uri, DVD-uri, benzi video realizate de el sau despre opera sa. Altă colecţie specială “The Florentin Smarandache Papers” se află la The University of Texas, la Austin, Archives of American Mathematics (în cadrul Centrului American de Istorie). ...

Table of Contents Details
NORMA SMARANDACHE ..................................... 7 Florentin Smarandache: Fişă de dicţionar ..................................... 9 Nominalizarea lui Florentin Smarandache pentru Premiul Nobel pentru literatură (Geo Stroe)..... 18 Fizicianul care l-a contrazis pe Einstein (Florin Grieraşu) ..................................... 25 FAŢETELE PARADOXULUI ..................................... 37 De la paradox la paradoxism (Titu Popescu) ............................... 38 De la multistructură şi multispaţiu la “recepţionarea multidimensională estetică şi paradoxistă Smarandache” (Ştefan Vlăduţescu) ..................................... 51 Teoria S-negării (Olga Popescu) ..................................... 54 Antiscrisori paradoxiste (Ion Segărceanu) ..................................... 57 Antologia a şasea paradoxistă în cotidianul internaţional (Marinela Preoteasa) ..................................... 61 MATEMATICA LITERELOR ..................................... 65 Libertatea s-a născut la mahala (Tudor Negoescu) ..................................... 66 Florentin Smarandache: poetul matematician (Ion M...

Description Details
Florentin Smarandache records his account of his emigration from Romania to America in this journal.

Excerpt Details
Aşa cum m-aţi sfătuit, iată-mă la Istanbul. Am reuşit să fug. Acum cred că e mai simplu să mă ajutaţi să emigrez. Aţi putea contacta Consulatul American din Istanbul telefonic sau printr-o scrisoare? Scuzaţi-mă pentru acest deranj. Eu am completat deja nişte hirtii la acesta, în care am cerut AZIL POLITIC (motive: interzicere congrese, doctorate,. interzicere publicare). Soţia şi copilul sînt in România, niCi nu ştiu de fuga mea. (Chiar astăzi am sosit). Le voi face chemare cînd ajung in SUA. Deocamdată stau la OTEL ŞAN (un hotel), apoi voi fi cred, mutat intr-un campus pentru refugiaţi politici [Comisia Internaţională Catolică de Migraţie (ICMC), Kalipci Sokak 146/2. Tesvikiye, Istanbul, Turcia - adreşă la care m-aţi putea găsi in viitor]. Am mare nevoie de sprijinul cuiva din America. Poate vă interesaţi la vreun avocat. În orice caz, cu azil politic se poate uşor intra. Vă mulţumesc mult, mult de tot. Al d-voaStră, Florentin Smarandache. As you advised me, here I am in Istanbul. I managed to run away. Now I think it's easier to help me migrate. You may contact the U.S. Consulate in Istanbul by phone or by letter? I'm sorry for...

Description Details
88 writers (in addition of folklore collections) from 23 countries with texts in 17 languages (English, Romanian, Bulgarian, Czech, Arabic, French, German, Hungarian, Tamil, Hindi, Indonesian, Hebrew, Italian, Urdu, Russian, Serbo-Croatian, Spanish) contributed poetry, essays, letters to the editor, arts, science, philosophy, short drama, short story, distichs, epigrams, aphorisms, translations, paradoxes, and folklore or found literature to the “Fifth international Anthology on Paradoxism”....

Excerpt Details
An Ode to Fuzzy & Neutrosophic Logic and their Creators When everything seems a murky mess And you are forced to second guess The way you are headed when you’re going straight And whether you’re there on time ’cause early may be late! When your eyes start playing tricks – it’s neither night nor day But the magic hour; when you just can’t for sure say The white from the black as mostly all is grey Take a moment to close your eyes and thank Zadeh! For inventing a way to tell black from white and the big from the small When none knows for sure how black is black or how tall is tall! ’Cause when chance becomes a possibility, you know you sure can bet That you’re in one group or the other, ’cause you’re in a fuzzy set! ...

Table of Contents Details
INTERNATIONAL DIMENSION OF PARADOXISM 5 AUSTRALIA Sukanto BATTACHARYA 6 George ROCA 8 BULGARIA Albena TCHAMOVA & Maria NIKOLOVNA 11 CANADA Kane X. FAUCHER 18 Jason HALL 19 CZECH REPUBLIK [Internet] 21 EGYPT Salah OSMAN 22 FRANCE Iulia COJOCARU 29 Didier FLEURDIER 30 Nicole POTTIER 223 GERMANY Rüdiger HEINZE 38 Bernd HUTSCHENREUTER 39 HUNGARY [Internet] 42 INDIA Khrishna JAHAN 43 A. PRASAD 47 B. Venkateswara RAO 48 Hemant VINZE 50 INDONESIA Christianto VIC 51 ISRAEL Morel ABRAMOVICI & Zoltan TERNER 52 Muneer Jebreel KARAMA 53 ITALY Pino BORESTA 56 KAZAKHSTAN Vadim BYSTRITSKI 57 R. MOLDOVA Svetlana GARABAJI 58 NIGERIA Tolu OGUNLESI 62 PAKISTAN Abdul KHAN 63 ROMANIA Valeriu BUTULESCU 65 Valentin DASCĂ LU 75 Ina DELEAN 79 Dominic DIAMANT 81 Eugen EVU 82 Folclor 85 Constantin FROSIN 101 Andrei Dorian GHEORGHE 102 Mugur GROSU 103 Peter GRUCK 104 Gică HAGI 105 Eugen ILIŞ IU 106 Liviu Florian JIANU 107 Elisabeta KOCSIK 108 Adrian LESENCIUC 115 Victor MARTIN 122 Nicolae M. MAZILU 129 Constantin MĂ RCUŞ AN 131 Ionel MĂ RGINEANU 134 Cristian MIALA 135 Marian MIRESC...

Description Details
This book contains 23 papers, most of which were written by participants to the fifth International Conference on Number Theory and Smarandache Notions held in Shangluo University, China, in March, 2009. In this Conference, several professors gave a talk on Smarandache Notions and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theroretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences. ...

Excerpt Details
3. Remarks Sandor [2] has considered the problem of finding the S-perfect and completely S-perfect numbers, but his proof is not complete. He has proved that the only S-perfect of the form n = p q is n = 6 and there is no S-perfect number of the form n = 2kq where k ¸ 2 is an integer and q is an odd prime. On the other hand, Theorem 2.1 gives all the S-perfect numbers. Again, Sandor only proved that, the only completely S-perfect number of the form n = p2q is n = 28, and all completely S-perfect numbers are given by Theorem 2.2. Theorem 2.1 and Theorem 2.2 ¯nd respectively the S-perfect and completely S-perfect numbers when S(1) = 1. The situation is quite different if one adopts the convention that S(0) = 1. In the latter case, as has been proved by Gronas [3], all completely S-perfect numbers are n = p(prime), 9, 16, 24. All that is known about the S-perfect numbers is that, among the ¯rst 106 numbers, n = 12 is the only S-perfect number (see Ashbacher [4]). In exactly the same way, the Z-perfect and completely Z-perfect numbers may be defined. Thus, given an integer n, 1. ...

Table of Contents Details
J. Wang : An equation related to the Smarandache power function 1 X. Lu and J. Hu : On the F.Smarandache 3n-digital sequence 5 B. Cheng : An equation involving the Smarandache double factorial function and Euler function 8 A. A. K. Majumdar : S-perfect and completely S-perfect numbers 12 B. Zhao and S. Wang: Cyclic dualizing elements in Girard quantales 21 P. Chun and Y. Zhao : On an equation involving the Smarandache function and the Dirichlet divisor function 27 F. Li and Y. Wang : An equation involving the Euler function and the Smarandache m-th power residues function 31 H. Gunarto and A. Majumdar : On numerical values of Z(n) 34 K. Nagarajan, etc.: M-graphoidal path covers of a graph 58 H. Liu : On the cubic Gauss sums and its fourth power mean 68 A. A. K. Majumdar : On the dual functions Z¤(n) and S¤(n) 74 S. S. Gupta : Smarandache sequence of Ulam numbers 78 L. Li : A new Smarandache multiplicative function and its arithmetical properties 83 Y. Yang and X. Kang : A predator-prey epidemic model with infected predator 86 R. Fu and H. Yang : An equation involving the Lucas numbers 90 W. Yang : Two rings in IS-a...

Description Details
A book of poems written by Florentin Smarandache whilst he was experiencing a dark time in life.

Excerpt Details
EPILOGUE I leave you with my poems. Feel through me! I have achieves this volume in three years, but read it in T E N! It is a hut from the outside, and maybe a castle inside. (this volume holds connections with the earth!) The book has me between its covers - but now it is in its agony: ...

Table of Contents Details
Motto - 6 SHORT (AUTO)BIOGRAPHY - 7 THE MANIFESTO – PROGRAM - 9 =INAPPROPRIATE WORDS MADE APPROPRIATE= - 17 PEOPLE ARE FLYING THROUGH PEOPLE - 18 THE PHILOSOPHY OF PSYCHOLOGY - 19 OLD AGE WITHOUT YOUTH - 20 SCIENCE AND ART - 21 THIS OTHER WORLD - 22 VIVE LA PAIX! - 23 A NEEDED DRUG - 24 WESTERN POETRY - 25 PAZVANTE THE BLIND - 26 PHYSICAL EDUCATION / OF THE NERVES - 27 GEORGE DEVIL - 28 AT WORK: / WOMEN WITHOUT WORK - 29 ANTI-POEM OF LOVE - 30 ON WIMBLEY, IN BĂNIE - 31 COURSE OF GERMAN LANGUAGE - 33 FUSS WITH FISH – 34 PORTRAIT OF A GIRL - 35 SHE AND HE - 36 VIBRATIONS ON A SENSITIVE STRING - 37 A POSITIVE MINUS - 38 FRAGMENT OF FRAGMENT - 39 THE UNREAL IS REALITY - 40 BUREAUCRACY - 41 I LIVED MY LIFE / THE DYING WAY - 42 THE FIGHT OF OPPOSITES - 43 GO AHEAD, PLEASE! - 44 THEATER IN ABSURD - 45 HEARING AT GOD - 46 CITIZEN EDUCATION - 47 SCENE OF SCENERY - 48 DIALOGUE AT LONG DISTANCE - 49 THEATER ACTING - 50 DEMETER HAS DIED - 51 I EXIST AGAINST MYSELF - 52 ALLOW ME TO BE MYSELF - 53 CRIME WITHOUT PUNISHMENT - 54 LESSON OF PHILOSOPHY - 55 FLYING MANUAL - 56 PEACE TO YOU, LOVE - 57 LONG COUR...

Description Details
A journal on Florentin Smarandache's road trip to the western states in America.

Excerpt Details
În statul… colorat Pe autostrada I 511 spre localitatea Ignacio. Intrăm în Colorado, statul „plin de culori” (conform adjectivului spaniol colorado/colorada = colorat/colorată). Galben de toamnă, grena, verde şters – pomii. Pompe automate de extras ţiţei. În Ignacio, vizităm galeria de artă „Dancing Spirit”. Drumul de la Durango la Silverton urcă în creierul munţilor. Vârfuri roşii de piatră. Nişte stânci au marginile drepte, de zici că-s tăiate cu cuţitul. Sculpturi naturale. Curcubeie de culori sunt frunzele... parcă un pictor dumnezeiesc a aruncat acuarele. The colorful state ... On Interstate 511 to Ignacio town. Going to Colorado, the "colorful" (according to the Spanish adjective colorado / Colorada = color / color). Yellow autumn, burgundy, green deleted - trees. Automatic pumps extract oil. In Ignacio, visit the art gallery "Dancing Spirit". The road from Durango to Silverton climb the mountains. Red Peaks Stone. Some rocks have straight edges to say that I was cut with a knife. Natural sculptures. Rainbow colors are the leaves ... Like a watercolor painter threw divine. ...

Table of Contents Details
Cuvânt înainte ............................................................ 7 O nouă recunoaştere internaţională .......................... 7 Fotojurnal În Vestul NeSălbatic ............................ 13 Lacul Navajo şi oraşul argintului ........................... 13 La Caltech, cu nemateria printre fizicieni .............. 23 Muzeul istoric Rex ................................................. 48 Valea Monumentelor din Statul Utah ..................... 52 Monumentul național El Morro .............................. 73 Casa cu păpuşi ........................................................ 80 New Mexico, sud .................................................... 83 Să vezi lupii .......................................................... 103 Deșert și canioane ................................................. 107 În loc de Postfaţă ................................................... 125 Perseverenţă ......................................................... 125 ...

Description Details
One man's story of his reason for emigrating from his home country of Romania to come to America.

Table of Contents Details
Cuprins ................................ 3 ¡Ajutați-mă să emigrez! (Prefață)................................18 Declaration for Emigration as Political Refugee in USA Individual Data........................................21 Reasons to leave my country......................................24 Religious Reasons..........................................24 Political Reasons.........................................25 Addition........................................................31 Changes in Individual Data..........................................33 Poze din lagăr..................................................35 SCRISORI OLOGRAFE DIN LAGǍRUL DE REFUGIAȚI POLITICI.................43 ANUL 1988 1. Cher Monsieur Camp (Istanbul, le 15.10.1988)…………44 2. Dear Professor Beno Arbel (Istanbul, 15.10.1988)…………46 3. Cher Monsieur le Directeur de la Maison d'Edition “Albin Michel” (Istanbul, le 16.10.1988)…………47 4. Ma Chère Traductrice [Chantal Signoret, Aix – en – Provence] (Istanbul, 17.10.1988).............................49 5. Stimate D-le Corduneanu (Istanbul, 19 – 20.10.1988)…………50 6. Dear Professor WEGNER (Istanbul, 20...

Description Details
A how to book on Chinese construction, in theory and practice.

Excerpt Details
Abstract: A tendering is a negotiating process for a contract through by a tenderer issuing an invitation, bidders submitting bidding documents and the tenderer accepting a bidding by sending out a notification of award. It is a main measure for completing market economy in China. According to laws and new regulations, rulers and codes new issued, this book introduces fundamental knowledge and techniques in theory and practice for a construction contract by bids, such as those of macro-economic policies, investing and constructing management, the tendering and bidding law with its regulations and how to compile a qualification document for a designing, consulting, constructing, purchasing project or a corporate body of a project management. By Smarandache multi-spaces, a mathematical evaluation model for bids is established and examples are included. The Tendering and Bidding Law of China, 5 regulations related and 100 answers for tendering and bidding in China can be found in the attachment. It is referable to researchers on theory or persons working in purchasing and students in universities....

Description Details
This so-called “globalization” is called on Internet in the following ways: global totalitarianism, neo-totalitarianism, new world order, global fascist order, neo-fascism, today’s new fascism, semi-colonialism, neocolonialism, global cyber hegemony (global control and manipulation of the Internet), global dictatorship, etc. where a few elites from some power countries try to take over the whole globe, which would become a prison planet. These unscrupulous, immoral, corrupted, genocidal, power-hungry elites will exercise an apartheid policy against the whole world, controlling people’s soul through their totalitarian regulation coercions....

Excerpt Details
Dark Strategies in Politics. Various ideas, hints, possible methods These ideas are compiled from various readings. They are unethical, immoral, unfair, and devilish. They are unfortunately examples of bad behavior and intentions of some powerful elites and other malignant people. IN CONCLUSION, THIS IS A DO-NOT-DO LIST!... • Corruption, deception, betray to reach your goal; • To take someone’s property; • In nature it doesn’t exist equality, nor liberty; • Real instincts; • Being sincere and honest you loose for sure;...

Table of Contents Details
Preface: The Wolf Dressed in Sheepskin : 4 Global Totalitarianism and the Working Animals: 6 International Injustice in Science, Arts, and Letters: 23 Dark Strategies in Politics: 29 Extracts from Machiavelli’s leading “Prince”: 52 Extracts from Sun Tzu’s “The Art of War”: 55 ADDENDA: More References on (Anti)Globalization: 63...

Description Details
We present in this course: the reproduction’s misprocess, the reproduction’s mistype, the material goods (and bads), the base inactivity and auxiliary inactivity, the system’s antistructure, the irresponsibility of a computer center, unstructured graphs, etc. Also, the disorganization’s structure, the principles of disorganization, the indecision making misprocess, the planning of unnecessary energy consummation, etc. The Reproduction’s misprocess is the connection which takes place between mankind and nature and during which humans modify the natural objects, and even the nature, in accordance with their societal disgusts....

Excerpt Details
Disorganization’ structures The disorganization structures represent the mechanism formed of disorganization subdivisions to which there have been assigned competencies and responsibilities and amongst which there have been established the guidelines required for nonfunctionality and efficiency. In other words, the disorganization structure is the result of the modality in which various compartments and people as well as their relationships have been grouped and constituted with the aim of accomplishing in suboptimal conditions the proposed objective. The principal constructive steps in disorganization structure are: 1. The function (position), 2. The compartment, 3. The hierarchy, 4. The relations or subordination....

Table of Contents Details
Table of Contents................................ 4 Chapter 1 ................................ 7 The reproduction’s misprocess ............................. 7 The reproduction’s mistype ............................. 7 The material goods and bads ............................ 7 The base inactivity and auxiliary inactivity. ........................ 8 Chapter 2 ................................ 8 The reproduction’s incapacity ............................. 8 The system’s antistructure and the approach style of a system ................ 9 Characteristics .................................. 9 Chapter 3. ............................... 11 The systems’ disorganization ............................. 11 The general concept of disorganization. ........................ 11 The scientific disorganizations of enterprises ...................... 11 The micro disorganization level ........................... 13 The macro disorganization level ........................... 13 The level of disorganization’s structure ........................ 13 The level of integrated approach .......................... 13 The disorganization of the informa...

Description Details
In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein’s four dimensional pseudo-Riemannian differentiable manifold in terms of Smarandache Geometry (Smarandache manifolds), by which new classes of relativistic particles and non-quantum teleportation are developed....

Excerpt Details
1.2 The basics of neutrosophy Neutrosophy studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. It considers that every idea tends to be neutralized, balanced by ideas; as a state of equilibrium. Neutrosophy is the basis of neutrosophic logic, neutrosophic set which generalizes the fuzzy set, and of neutrosphic probability and neutrosophic statistics, which generalize the classical and imprecise probability and statistics respectively. Neutrosophic Logic is a multiple-valued logic in which each proposition is estimated to have percentages of truth, indeterminacy, and falsity in T, I, and F respectively, where T, I, F are standard or non-standard subsets included in the non-standard unit interval ] −0, 1+[. It is an extension of fuzzy, intuitionistic, paraconsistent logics. ...

Table of Contents Details
Preface of the Editor 4 Chapter 1 PROBLEM STATEMENT . THE BASICS OF NEUTROSOPHY 1.1 Problem statement 5 1.2 The basics of neutrosophy 8 1.3 Neutrosophic subjects 13 1.4 Neutrosophic logic. The origin of neutrosophy 14 1.5 Definitions of neutrosophic 16 Chapter 2 TRAJECTORIES AND PARTICLES 2.1 Einstein’s basic space-time 18 2.2 Standard set of trajectories and particles. A way to expand the set 22 2.3 Introducing trajectories of mixed isotropic/non-isotropic kind 28 2.4 Particles moving along mixed isotropic/non-isotropic trajectories 31 2.5 S-denying the signature conditions. Classification of the expanded spaces 35 2.6 More on an expanded space-time of kind IV 45 2.7 A space-time of kind IV: a home space for virtual photons 52 2.8 A space-time of kind IV: non-quantum teleportation of photons 55 2.9 Conclusions 59 Chapter 3 ENTANGLED STATES AND QUANTUM CAUSALITY THRESHOLD 3.1 Disentangled and entangled particles in General Relativity. Problem statement 61 3.2 Incorporating entangled states into General Relativity 64 3.3 Quantum Causality Threshold in General Relativity 69 3.4 Conclusions 72 Biblio...

Description Details
A book on the contrasts between the eastern Asian culture versus the western culture on topics such as education, medicine, science, and politics.

Excerpt Details
Is oriental culture a kind of science? There lies a crucial difference in that Western science seeks the exterior solutions outside the heart. However, our ancient sages illustrated that humans are an integral part of the universe, and all the phenomena never skip out of the heart. And very fortunately, many wise men did succeed in cultivating their hearts to testify to the profound truth. So our Eastern classics focus on our inner cultivation. However people, including the overwhelming majority of the Chinese, would regard such education as being an extra (to life or science). Please contact the corresponding Taiwan or Singapore websites, where there are plenty of English versions of texts and videos of Buddhism, to request the standard translation. “What is Dao (Tao)? It is the natural principle all over the universe, the natural order, the essentiality of nature. The great universe has its order and rule, where the education of ancient sages roots. Education stems from here, and a human being has to obey the natural principle –Dao. In our Chinese notion of the integral of humans and nature; heaven, earth and human are...

Table of Contents Details
On the Cultural Contrast: East-West, preface by F. Liu .……………………………….4 Abstract by the Translator to the Chinese Translation of Neutrosophics………………12 Preface by the Translator to the Chinese Translation of Neutrosophics………………13 Biography of the Translator…………………………………………………………….18 Publication Review by F. Liu…………………………………………………………22 Annotation in the Chinese Translation of Neutrosophics………………………………27 Neutrosophic Dialogues………………………………………………………………51 Absolute Truth……………………………………………………………………………68 Science, Destiny, and Buddhism……………………………………………………….…79 Call for Papers…………………………………………………………………………….94 Neutrosophy and Dialectic, postface by Anthony Mansueto.…………………………….95...

Description Details
We have used the 2-adaptive fuzzy model having the two fuzzy models, fuzzy matrices model and BAMs viz. model to analyze the views of public about HIV/ AIDS disease, patient and the awareness program. This book has five chapters and 6 appendices. The first chapter just recalls the definition of four fuzzy models used in this book and gives illustration of some of them. Chapter two introduces the new n-adaptive fuzzy models. Chapter three uses for the first time 2 adaptive fuzzy models to study psychological and sociological problems about HIV/AIDS. Chapter four gives an outline of the interviews. Chapter five gives the suggestions and conclusion based on our study. Of the 6 appendices four of them are C-program made to make the working of the fuzzy model simple....

Excerpt Details
In this chapter for the first time we introduce the new class of n-adaptive fuzzy models (n a positive integer and n ≥ 2) and illustrate it. These n-adaptive fuzzy models can analyze a problem using different models so one can get in one case the hidden pattern, in one case the maximum time period in some case output state vector for a given input vector and so on. So this new model has the capacity to analyze the problem in different angles, which can give multiple suggestions and solutions about the problem. This chapter has two sections. Section one defines the new model gives illustrations and section two defines some special n-adaptive models and proposes some problems....

Table of Contents Details
Chapter One SOME BASIC FUZZY MODELS WITH ILLUSTRATIONS 1.1 Fuzzy matrices and their applications 9 1.2 Definition and illustration of Fuzzy Relational Maps (FRMs) 16 1.3 Some basic concepts of BAM with illustration 20 1.3.1 Some basic concepts of BAM 22 1.3.2 Use of BAM Model to study the cause of vulnerability to HIV/AIDS and factors for migration 28 1.4 Introduction to Fuzzy Associative Memories (FAM) 35 Chapter Two ON A NEW CLASS OF N-ADAPTIVE FUZZY MODELS WITH ILLUSTRATIONS 2.1 On a new class of n-adaptive fuzzy models with illustrations 39 2.2 Some special n-adaptive models 49 Chapter Three USE OF 2-ADAPTIVE FUZZY MODEL TO ANALYZE THE PUBLIC AWARENESS OF HIV/AIDS 3.1 Study of the psychological and social problems the public have about HIV/AIDS patients using CETD matrix 52 3.2 Use of 2 adaptive fuzzy model to analyze the problem 72 Chapter Four PUBLIC ATTITUDE AND AWARENESS ABOUT HIV/AIDS 4.1 Introduction 77 4.2 Interviews 81 Chapter Five CONCLUSIONS 167 Appendix 1. Questionnaire 177 2. Table of Statistics 191 3. C-program for CETD and RTD Matrix 198 4. C-program for FRM 202 5. C-program for CFRM 2...

Description Details
The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval matrices but have also demonstrated some of its applications when the data under study is an unsupervised one and when several experts analyze the problem....

Excerpt Details
1.2 Definition of Fuzzy Cognitive Maps In this section we recall the notion of Fuzzy Cognitive Maps (FCMs), which was introduced by Bart Kosko in the year 1986. We also give several of its interrelated definitions. FCMs have a major role to play mainly when the data concerned is an unsupervised one. Further this method is most simple and an effective one as it can analyse the data by directed graphs and connection matrices. DEFINITION 1.2.1: An FCM is a directed graph with concepts like policies, events etc. as nodes and causalities as edges. It represents causal relationship between concepts. Example 1.2.1: In Tamil Nadu (a southern state in India) in the last decade several new engineering colleges have been approved and started. The resultant increase in the production of engineering graduates in these years is disproportionate with the need of engineering graduates. ...

Table of Contents Details
Dedication 5 Preface 6 Chapter One BASIC CONCEPTS 1.1 Definition of Interval Matrices and Examples 8 1.2 Definition of Fuzzy Cognitive Maps 9 1.3 An Introduction to Neutrosophy 13 1.4 Some Basic Neutrosophic Structures 16 1.5 Some Basic Notions about Neutrosophic Graphs 22 1.6 On Neutrosophic Cognitive Maps with Examples 28 1.7 Definition and Illustration of Fuzzy Relational Maps (FRMs) 33 1.8 Introduction to Fuzzy Associative Memories 40 1.9 Some Basic Concepts of BAM 43 1.10 Properties of Fuzzy Relations and FREs 49 1.11 Binary Neutrosophic Relations and their Properties 56 Chapter Two INTRODUCTION TO FUZZY INTERVAL MATRICES AND NEUTROSOPHIC INTERVAL MATRICES AND THEIR GENERALIZATIONS 2.1 Fuzzy Interval Matrices 68 2.2 Interval Bimatrices and their Generalizations 76 2.3 Neutrosophic Interval Matrices and their Generalizations 92 Chapter Three FUZZY MODELS AND NEUTROSOPHIC MODELS USING FUZZY INTERVAL MATRICES AND NEUTROSOPHIC INTERVAL MATRICES 3.1 Description of FCIMs Model 118 3.2 Description and Illustration of FRIM Model 129 3.3 Description of FCIBM model and its Generalization 139 3.4 FRIBM model and i...

Description Details
All through life people will write you messages, email you, phone you, knock on your door and will give you messages you are not sure about. This book is about being aware of some of the tricks out there. Some messages are real. Many are not....

Table of Contents Details
Page Chapter Title 1 Introduction 3 1 The Love Note 4 2 Joke or Harm? 5 3 Forging a Signature 7 4 Pranks and Hoaxes 11 5 Reasons for the Con- The Game of it, Money 12 6 The Con Artist- Personality 16 7 The Victim- Personality 21 8 How the Con Artist Wins Trust 24 9 Names for the Trick, the Con 25 10 What the Con Artist is Called 26 11 Names for the Victim of the Trick 27 12 Pickpocketing 29 13 Counterfeit Money 34 14 Theft 43 15 Tricks People Use When They Sell You Things 55 16 Tricks Buyers Use Against You 58 17 Sob Stories 64 18 Cheques 71 19 Credit Cards 76 20 Credit Card Problems 78 21 Credit Card Fraud 87 22 Debit Cards 94 23 The Buddy/The Shill 98 24 Job Cons 105 25 Identity Theft 112 26 Where People Get Your ID 118 27 How People Get Things- Trade, Share, Borrow 136 28 Banking 144 29 Investing - How it Works 149 30 Investment Scams and Tricks 159 31 Insurance and How It Works 164 32 Insurance Fraud, Medical Fraud 174 33 Fraudulent and Misleading Contests, Races, Lotteries, Games 177 34 Fraud...

Description Details
Neutrosophic Physics. Let be a physical entity (i.e. concept, notion, object, space, field, idea, law, property, state, attribute, theorem, theory, etc.), be the opposite of , and be their neutral (i.e. neither nor but in between). Neutrosophic Physics is a mixture of two or three of these entities , , and that hold together. Therefore, we can have neutrosophic fields, and neutrosophic objects, neutrosophic states, etc. Neutrosophic Physics is an extension of Paradoxist Physics, since Paradoxist Physics is a combination of physical contradictories and only that hold together, without referring to their neutrality . Paradoxist Physics describes collections of objects or states that are individually characterized by contradictory properties, or are characterized neither by a property nor by the opposite of that property, or are composed of contradictory sub-elements. Such objects or states are called paradoxist entities. ...

Excerpt Details
2. The Gist of the Present Epistemology: The Surjective Qualon “Mere eruditic logic often turns – as has been generically said – philosophy into folly, science into superstition, and art into pedantry. How far away from creation and solitude, from play and imagination, from day and night, from noon and silhouette it is! How Genius is precisely everything other than being merely situational, alone as the Universe.” Herein we present a four-fold asymmetric theory of Reality whose essence – especially when properly, spontaneously understood – goes beyond the internal constitutions and extensive limitations of continental and analytic philosophies, including classical philosophy in its entirety (most notably: Platonism, neo-Platonism, atomism, dualism, and peripatetic traditions), monism (Spinoza-like and others), sophistic relativism and solipsism (which, as we know, has nothing to do with the actuality of the Einsteinian physical theory of relativity), dogmatic empiricism and materialism, Kantianism and neo-Kantianism, Hegelianism and non-Hegelian dialectics (existentialism), Gestalt psychologism, symbolic logic, hermeneutics, an...

Table of Contents Details
Preface: Neutrosophic Physics – as a new research field, by the Editor … 4 Neutrosophic Cosmologies, by Larissa Borissova and Dmitri Rabounski … 11 The Surjective Monad Theory of Reality: A Qualified Generalization of Reflexive Monism, by Indranu Suhendro … 29 A New Possible Form of Matter, Unmatter – Formed by Particles and Anti-Particles, by Florentin Smarandache … 58 Verifying Unmatter by Experiments, More Types of Unmatter, and A Quantum Chromodynamics Formula, by Florentin Smarandache … 63 Causality in Kaon Oscillations and Decay, by Thomas R. Love … 72 Examples of Unmatter, by Thomas R. Love … 80 Photon-Neutrino Symmetry and the OPERA Anomaly: a Neutrosophic Viewpoint, by Ervin Goldfain … 82...

Description Details
Scientia Magna is published annually in 200-300 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics....

Excerpt Details
0. In 1999, the second author of this remarks published a book over 30 of Smarandache's problems in area of elementary number theory (see [1, 2]). After this, we worked over new 20 problems that we collected in our book [28]. These books contain Smarandache's problems, described in [10, 16]. The present paper contains some of the results from [28]. In [16] Florentin Smarandache formulated 105 unsolved problems, while in [10] C.Dumitresu and V. Seleacu formulated 140 unsolved problems of his. The second book contains almost all the problems from [16], but now each problem has unique number and by this reason in [1, 28] and here the authors use the numeration of the problems from [10]. In the text below the following notations are used....

Table of Contents Details
V. Mladen and T. Krassimir : Remarks on some of the Smarandache's problem. Part 2 1 W. Kandasamy : Smarandache groupoids 27 L. Ding : On the primitive numbers of power P and its mean value properties 36 D. Torres and V. Teca : Consecutive, reversed, mirror, and symmetric Smarandache sequence of triangular numbers 39 D. Ren : On the square-free number sequence 46 T. Ramaraj and N. Kannappa : On ¯nite Smarandache near-rings 49 X. Kang : Some interesting properties of the Smarandache function 52 L. Mao : On Automorphism Groups of Maps, Surfaces and Smarandache Geometries 55 L. Ding : On the mean value of Smarandache ceil function 74 M. Le : An equation concerning the Smarandache function 78 M. Bayat, H. Teimoori and M. Hassani : An extension of ABC-theorem 81 J. Ma : An equation involving the Smarandache function 89 C. Chen : Inequalities for the polygamma functions with application 91 W. Vasantha and M. Chetry : On the number of Smarandache zero-divisors and Smarandache weak zero-divisors in loop rings 96 M. Le : The function equation S(n) = Z(n) 109 Z. Li : On the Smarandache Pseudo-number Sequences 111 D. Mehendale :...

Description Details
Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure 1 are the contemporary issues that include the links between (1) data conditioning and information management, (2) combined situation and impact assessment, and (2) knowledge representation between machine processing and user coordination. Various applications leverage DSmT “Advances” listed above along with DSmH (hybrid), DSmP (Probabilistic), and DSmT theoretical insights. The third volume attacks these application issues of coordination between the “levels” of information fusion....

Table of Contents Details
Part I Advances on DSmT 1 Chapter 1 An introduction to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Generalized belief functions . . . . . . 20 1.2.4 The classic DSm rule of combination . . . . . 21 1.2.5 The hybrid DSm rule of combination . . . . . 22 1.2.6 Examples of combination rules . . . . . . 24 1.2.7 Fusion of imprecise beliefs . . . . . . 29 1.3 Proportional Conflict Redistribution rule . . . . . 33 1.3.1 PCR formulas . . . . . . . . . 34 1.3.2 Examples . . . . . . . . . 35 1.3.3 Zadeh’s example . . . . . . . . 39 1.4 Uniform and partially uniform redistribution rules . . . 41 1.5 RSC Fusion rules . . . . . . . . . 43 1.6 The generalized pignistic transformation (GPT) . . . . 45 1.6.1 The classical pignistic transformation . . . . 45 1.6.2 Notion of DSmcardinality . . . . . . 46 1.6.3 The Generalized Pignistic Transformation . . . 47 1.7 The DSmP transformation . . . . . . . 48 1.7.1 The Probabilistic In...

Description Details
This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigations while, Part 2 presents several applications of this new theory. Some ideas in this book are still under current development or improvements, but we think it is important to propose them in order to share ideas and motivate new debates with people interested in new reasoning methods and information fusion. So, we hope that this second volume on DSmT will continue to stir up some interests to researchers and engineers working in data fusion and in artificial intelligence....

Table of Contents Details
Preamble iii Prefaces v Part I Advances on DSmT 1 Chapter 1 Proportional Conflict Redistribution Rules for Information Fusion 3 by Florentin Smarandache and Jean Dezert 1.1 Introduction . . . . . . . . . . . 3 1.2 The principal rules of combination . . . . . . . 6 1.2.1 Notion of total and partial conflicting masses . . . . . 6 1.2.2 The conjunctive rule . . . . . . . . . 6 1.2.3 The disjunctive rule . . . . . . . . . 8 1.2.4 Dempster’s rule of combination . . . . . . . 8 1.2.5 Smets’ rule of combination . . . . . . . 9 1.2.6 Yager’s rule of combination . . . . . . . 9 1.2.7 Dubois & Prade’s rule of combination . . . . . . 9 1.2.8 The hybrid DSm rule . . . . . . . . 10 1.3 The general weighted operator (WO) . . . . . . . 11 1.4 The weighted average operator (WAO) . . . . . . . 12 1.4.1 Definition . . . . . . . . . 12 1.4.2 Example for WAO . . . . . . . . . 13 1.4.3 Limitations of WAO . . . . . . . . . 13 1.5 Daniel’s minC rule of combination . . . . . . . 14 1.5.1 Principle of the minC rule . . . . . . . 14 1.5.2 Example for minC . . . . . . . . . 15 1.6 Principle of the PCR rules . . . . . . . . . 20 1.7 The...

Description Details
In The 2nd Conference on Combinatorics and Graph Theory of China (Aug. 16-19, 2006, Tianjing), I formally presented a combinatorial conjecture on mathematical sciences (abbreviated to CC Conjecture), i.e., a mathematical science can be reconstructed from or made by combinatorialization, implicated in the foreword of Chapter 5 of my book Automorphism groups of Maps, Surfaces and Smarandache Geometries (USA, 2005). This conjecture is essentially a philosophic notion for developing mathematical sciences of 21st century, which means that we can combine different fields into a union one and then determines its behavior quantitatively. It is this notion that urges me to research mathematics and physics by combinatorics, i.e., mathematical combinatorics beginning in 2004 when I was a post-doctor of Chinese Academy of Mathematics and System Science. It finally brought about me one self-contained book, the first edition of this book, published by InfoQuest Publisher in 2009. This edition is a revisited edition, also includes the development of a few topics discussed in the first edition....

Excerpt Details
1.5 ENUMERATION TECHNIQUES 1.5.1 Enumeration Principle. The enumeration problem on a finite set is to count and find closed formula for elements in this set. A fundamental principle for solving this problem in general is on account of the enumeration principle: For finite sets X and Y , the equality |X| = |Y | holds if and only if there is a bijection f : X → Y . Certainly, if the set Y can be easily countable, then we can find a closed formula for elements in X....

Table of Contents Details
Contents Preface to the Second Edition . . . . . . . . . . . . . . . . . . . i Chapter 1. Combinatorial Principle with Graphs . . . . . . . . . . 1 1.1 Multi-sets with operations. . . . . . . . . . . . . . . . . . . . .2 1.1.1 Set . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Operation . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Boolean algebra . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Multi-Set . . . . . . . . . . . . . . . . . . . . . . . . . .8 1.2 Multi-posets . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.2.1 Partially ordered set . . . . . . . . . . . . . . . . . . . . .11 1.2.2 Multi-Poset . . . . . . . . . . . . . . . . . . . . . . 13 1.3 Countable sets . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3.1 Mapping . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3.2 Countable set . . . . . . . . . . . . . . . . . . . . 16 1.4 Graphs . . . . . . . . . . . . . . . . . . . . . . . . 18 1.4.1 Graph. . . . . . . . . . . . . . . . . . . . . . . . . . . .18 1.4.2 Subgraph . . . . . . . . . . . . . . . . . . . . . . . . 21 1.4.3 Labeled graph. . . . . . ...

Description Details
It is the argument of this paper that the Canadian government has not yet achieved its goals of women’s equality, elimination of child poverty and optimal national productivity due to an oversight in social policy that neglects the unpaid caregiving sector. The care of the sick, elderly, handicapped, dying and the young has been historically a female role and as women have moved into paid labor, this role has been devalued creating barriers both to those who try to juggle career and family and to those who for a time prioritize the caregiving side, with serious financial and social penalties. Arguments are noted from sociology, health, economics and feminist theory to support the claim that recognition of the care sector is a vital step to achieving equality and ‘best interests’ goals. The present justification for one-sided support of the care sector, focusing only on paid care is analyzed for its lapses in logic, its negatives stereotyping of the unpaid role and its motivations which may undermine the goals it seeks to achieve....

Description Details
Progress and development in our knowledge of the structure, form and function of the Universe, in the true sense of the word, its beauty and power, and its timeless presence and mystery, before which even the greatest intellect is awed and humbled, can spring forth only from an unshackled mind combined with a willingness to imagine beyond the boundaries imposed by that ossified authority by which science inevitably becomes, as history teaches us, barren and decrepit. Revealing the secrets of Nature, so that we truly see ‘the sunlit plains extended, and at night the wondrous glory of the everlasting stars’*, requires far more than mere technical ability and mechanical dexterity learnt from books and consensus. The dustbin of scientific history is replete with discredited consensus and the grand reputations of erudite reactionaries. Only by boldly asking questions, fearlessly, despite opposition, and searching for answers where most have not looked for want of courage and independence of thought, can one hope to discover for one’s self. From nothing else can creativity blossom and grow, and without which the garden of science can o...

Excerpt Details
After the experiments were completed, the life span of such “atoms” was calculated theoretically in Chapiro’s works [61,62,63]. His main idea was that nuclear forces, acting between nucleon and anti-nucleon, can keep them far away from each other, hindering their annihilation. For instance, a proton and anti-proton are located at the opposite side of the same orbit and move around the orbit’s centre. If the diameter of their orbit is much larger than the diameter of the “annihilation area”, they can be kept from annihilation (see fig. 3). But because the orbit, according to Quantum Mechanics, is an actual cloud spreading far around the average radius, at any radius between the proton and the anti-proton there is a probability that they can meet one another at the annihilation distance. Therefore the nucleon---anti-nucleon system annihilates in any case, as this system is unstable by definition having a life span no more than 10-20 sec....

Table of Contents Details
Contents Preface 5 Foreword 6 1 Unsolved Problems in Theoretical Physics 8 1.1. Problems related to elementary particles 8 1.2. Problems related to Unmatter 11 1.3 Some unresolved problems, questions and applications of the Brightsen nucleon cluster model 21 2 Unsolved Problems in Mathematics 24 2.1. Maximum number of circles 25 2.2. Consecutive sequence 25 2.3. Diophantine equation 25 2.4. Van Der Waerden Theorem 26 2.5. Differential equation with fractional power 26 2.6. Representation of odd number with prime 26 2.7. Magic square problem 27 2.8. Palindromic number and iteration 27 2.9. Non-Euclidean geometry by giving up its fifth postulate 28 2.10. Smarandache Geometry and Degree of Negation in Geometries 28 2.11. Non-Archimedean triangle theorem 33 2.12. The cubic Diophantine equation 33 2.13. Multispaces and applications in physics 34 3 Unsolved Problems in Astrophysics 35 3.1. Unsolved problems in Celestial Mechanics 35 3.2. Unsolved problems in Astrophysics 37 4 Unsolved Problems in Geophysics 45 4.1. Introduction 45 4.2. Some new questions 45 5 Unsolved Problems in Sorites Quantum Paradox and Sm...

Description Details
The antiwar of our entire nation is defined as being the army-impeded forces, skirmishing shoulder to shoulder with the civilian population, with the purpose of defeating all non-aggressors, for securing our country’s slavery and dependency. The defeat in this battle is assured through a moral inferiority of our population - the right cause of this antiwar -, the lack of heroism of our state’s citizens, by applying an adequate blundering, using our geographical disadvantages, and the international public humiliation. ...

Excerpt Details
The battle and its non-goal. The battle is an ensemble of skirmishes of the subunits and units, which take place in a disorganized manner using armament and fighting techniques, for the expressed desire to enforce the enemy. The battle cannot take place on the ground, in the air, or on the water, in an open paradoxist cooperation with all-military denominations, and using their armament’s procedures with the goal of empowering the non-aggressor enemy. The battle is not the only way for obtaining the miscarriage. The battle’s goal is not the destruction or the capture of enemy’s groups, or the capture and holding on of critical portions of terrain. While in anti-defense, the defeat with fewer forces of the enemy’s superior forces would be done with our old-fashioned technique: ...

Table of Contents Details
Instruction Notebooks...............................3 Table of Contents .................................4 1 The Non-Tactical Instruction...........................10 Non-Assignment 1. ...............................10 The battle and its non-goal. ...........................12 The principles of non-organizing the battle’s actions. .................13 Non-Assignment 2...............................13 The disorganization principle of the subunits of unpatriotic guards. ............15 The subunits of the other branches of the military, their non-role, and their non-missions. ....15 The non-role and non-missions unsustainable by the other branches of the military. ......16 Not understanding the modern military ......................17 General principles disregarding the non-actions conducted by the subunits of a non-modern military in the inoffensive battles............................18 The anti-defense forms............................20 The non-roles and the non-missions of the fight units. .................20 The non-insurance for battle...........................20 The content of the battle’s non-insurance, its goal...

Description Details
This book is devoted to an emerging branch of Information Fusion based on new approach 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 presents the current state-of-the-art on theoretical investigations while Part 2 presents several applications of this new theory. We hope that this first book on DSmT will stir up some interests to researchers and engineers working in data fusion and in artificial intelligence. Many simple but didactic examples are proposed throughout the book. As a young emerging theory, DSmT is probably not exempt from improvements and its development will continue to evolve over the years. We just want through this book to propose a new look at the Information Fusion problematic and open a new track to attack the combination of information....

Table of Contents Details
Preamble xi Prefaces xiii I Advances on DSmT 1 1 Presentation of DSmT 3 1.1 Introduction . . . . . 3 1.2 Short introduction to the DST . . . . 5 1.2.1 Shafer’s model and belief functions . . . 5 1.2.2 Dempster’s rule of combination . . . 5 1.2.3 Alternatives to Dempster’s rule of combination . . . 6 1.2.4 The discounting of sources of evidence . . . 10 1.3 Foundations of the DSmT . . . . 11 1.3.1 Notion of free and hybrid DSm models . . . 11 1.3.2 Notion of hyper-power set D_ . . . 13 1.3.3 Generalized belief functions . . . . 15 1.3.4 The classic DSm rule of combination . . . 16 1.3.5 The hybrid DSm rule of combination . . . 17 1.3.6 On the refinement of the frames . . . 18 1.3.7 On the combination of sources over different frames . . . 20 1.4 Comparison of different rules of combinations . . . 21 1.4.1 First example . . . . . 21 1.4.2 Second example . . . . 25 1.4.3 Third example . . . . 26 1.4.4 Fourth example . . . . 27 1.4.5 Fifth example . . . . . 27 1.5 Summary . . . . . 29 1.6 References . . . . . 31 2 The generation of hyper-power sets 37 2.1 Introduction . . . . . 37 2.2 Definition of hyper-po...

Description Details
Scientia Magna is published annually in 200-300 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics....

Excerpt Details
x1. Introduction The study of Smarandache loops was initiated by W.B. Vasantha Kandasamy in 2002. In her book [19], she defined a Smarandache loop (S-loop) as a loop with at least a subloop which forms a subgroup under the binary operation of the loop. For more on loops and their properties, readers should check [16], [3], [5], [8], [9] and [19]. In her book, she introduced over 75 Smarandache concepts on loops. In her ¯rst paper [20], she introduced Smarandache : left(right) alternative loops, Bol loops, Moufang loops, and Bruck loops. But in this paper, Smarandache : inverse property loops (IPL), weak inverse property loops (WIPL), G-loops, conjugacy closed loops (CC-loop), central loops, extra loops, A-loops, K-loops, Bruck loops, Kikkawa loops, Burn loops and homogeneous loops will be introduced and studied relative to the holomorphs of loops. Interestingly, Adeniran [1] and Robinson [17], Oyebo [15], Chiboka and Solarin [6], Bruck [2], Bruck and Paige [4], Robinson [18], Huthnance [11] and Adeniran [1] have respectively studied the holomorphs of Bol loops, central loops, conjugacy closed loops, inverse property loops, A-loops,...

Table of Contents Details
T. Jayeo. la : An holomorphic study of the Smarandache concept in loops 1 Z. Xu : Some arithmetical properties of primitive numbers of power p 9 A. Muktibodh : Smarandache Quasigroups 13 M. Le : Two Classes of Smarandache Determinants 20 Y. Shao, X. Zhao and X. Pan : On a Subvariety of + S` 26 T. Kim, C. Adiga and J. Han : A note on q-nanlogue of Sandor's functions 30 Q. Yang : On the mean value of the F. Smarandache simple divisor function 35 Q. Tian : A discussion on a number theoretic function 38 X. Wang : On the mean value of the Smarandache ceil function 42 Y. Wang : Some identities involving the Smarandache ceil function 45 J. Yan, X. Ren and S. Ma : The Structure of principal lters on po-semigroups 50 Y. Lu : F. Smarandache additive k-th power complements 55 M. Le : The Smarandache reverse auto correlated sequences of natural numbers 58 M. Karama : Smarandache partitions 60 L. Mao : On Algebraic Multi-Group Spaces 64 F. Russo : The Smarandache P and S persistence of a prime 71 Y. Lu : On the solutions of an equation involving the Smarandache function 76 H. Ibstedt : A Random Distribution Experiment 80 L. Mao...

Description Details
NonNovel is indeed a novel of drawer, carried year after year in the bottomless sack of the exile. This fierce parabola about totalitarianism, about alienation, guilty obedience and lie, opportunism, cruelty, violence, monstrosity, written in a strong tensioned and lacking bashfulness style, situates Florentin Smarandache closer by Orwell, Konwicki, Koestler, Baconsky, and marks a new dimension of the Paradoxism....

Excerpt Details
Mybreathin gstops Mybrea thingstops Myb reath ings tops Mybreathingstops Mybreat hin gsto ps M ybreath ingstops My breathing stops

Table of Contents Details
WARNING!: 5 Mister Editor (a letter arrived at the editorial office): 6 I: 7 Dedication: 10 The Adventures of Hon Hyn: 11 Happenings from Wodania: 23 II: 26 About patriotism: 28 The royal feast: 29 The press: 30 Post Office: 31 The State control: 32 Non-values’ Epoch: 36 Pluralism: 43 A leader not like anyone else: 45 Invisible barriers: 46 The graduates’ allocation: 49 The lunatic asylum: 50 The abolishing of the difference between man and animal: 56 III: 59 The Earthquake: 60 Modern gallinacean: 62 The crop of pea: 63 The peasantry: 64 The intellectuality: 66 A little meditation does not hurt: 67 The Fonfoist Party: 69 An unsafe life was provided to us: 70 A certain kind of speech: 72 The Fonfoist Society: 83 “We will live here in abundance”: 87 The multilateral development of personality: 93 The Police and the Revolution: 95 Imposing buildings of prisons: 97 Football: 99 Public genuflection: 100 The contemporary history: 102 Hon Hyn’s visit to Paris: 103 The National Museum: 104 The Management of the Economical Systems: 105 A few notions of psychology: 106 (editor’s note): 109 The wise po...

Description Details
Etymologically, aphorism + floral = aph(L)orism, which is a short reflection written on a floral design, or a short poetry accompanied by an artistic background. They are colorful contemplations. Maximus in minimis (Lat.) means very much in very little [max in min], or condensed thought, or ideating essence. They are actually maxims, adages, sayings mostly in one line (uni-stich) with a title, as a metaphoric statement, a breathing momentum that oils our soul....

Excerpt Details
Nonchalantly : The wind with its mantle steps lightly. Skin Condition : The Sun has spots too. At what time? When it rains, God cries. Atmosphere : Blue, as the sky dirtied by clouds. Bright : A balcony full of Sun. Natural disaster : The swans look drunk on the fetid lake. Surprisingly : The crow is a beautiful black. Elegant woman : A bird high on her legs. Most powerful chess piece : You are a queen but only in the dark. Medicinal plant : You’re a flower but amongst weeds. Force that attracts food : The stomach’s gravitation pulls me to food....

Table of Contents Details
Passion.......................................................................23 Worthless.....................................................................23 Tired of you....................................................................23 Tittle-tattle....................................................................23 Talk is cheep...................................................................24 Give the man what he doesn’t have.................................................24 Novel for (non) writers...........................................................24 Desolate......................................................................24 Did I have the pleasure...........................................................24 Sloppy work....................................................................25 Despicable.....................................................................25 Wanted.......................................................................25 Talking in vain..................................................................25 Use caplets.....................................................

Description Details
The whole paradoxist distich should be as a geometric unitary parabola, hyperbola, ellipse at the borders between art, philosophy, rebus, and mathematics – which exist in complementariness. The School of Paradoxist Literature, which evolved around 1980s, continues through these bi-verses closed in a new lyric exact formula, but with an opening to essence. For this kind of procedural poems one can elaborate mathematical algorithms and implement them in a computer: but, it is preferable a machine with … soul!...

Excerpt Details
I M M O D E S T With the shame Shamelessness U N D E C I D E D Fighting Himself J A Z Z ( I ) Melodious Anarchy J A Z Z ( I I ) Anarchic Melody...

Table of Contents Details
Fore/word and Back/word _________ 3 The making of the distich : _____ 3 Characteristics: ______________ 3 Historical considerations: _____ 5 Types of Paradoxist distiches ___ 8 1. Clichés paraphrased: ___ 8 2. Parodies: _____________ 8 3. Reversed formulae: ____ 8 4. Double negation _______ 8 5. Double affirmation, ____ 8 6. Turn around on false tracks: _________________ 8 7. Hyperboles (exaggerated): __________________ 8 8. With nuance changeable from the title: ________ 8 9. Epigrammatic: ________ 8 10. Pseudo-paradoxes: ___ 8 11. Tautologies: ________ 9 12. Redundant: _________ 9 13. Based on pleonasms: _ 9 14. or on anti-pleonasms: 9 15. Substitution of the attribute in collocations ___ 9 16. Substitution of the complement in collocations 9 17. Permutation of various parts of the whole: ___ 9 18. The negation of the clichés ______________ 10 19. Antonymization (substantively, adjectively, etc.) ________________ 10 20. Fable against the grain: _________________ 10 21. Change in grammatical category (preserving substitutions’ homonymy): ________________ 10 22. Epistolary or colloquia style: _________...

Description Details
The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

Excerpt Details
This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

Table of Contents Details
Collected Eclectic Ideas - preface by the author.............................3 Contents....................................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in Astronomy, by Florentin Smarandache.. 36 BIOLOGY......................................40 4. Statistical Modeling of Primary Ewing Tumors of the Bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, in in , Vol. 3, No. JJ05, 81-88, 2005................41 CALCULUS....................................53 5. A Triple Inequality with Series and Improper Integrals, by Florentin Smarandache, in Bulletin of Pure and Applied Sciences, Vol. 25E, No. 1, 215-217, 2006.........54 6. Immediate Calculation of Some Poisson Type Integrals Using SuperMathematics Circular Ex-Centric Functions, by Florentin Smarandache & Mircea Eugen................................

Description Details
The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors...

Excerpt Details
This short technical paper advocates a bootstrapping algorithm from which we can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

Table of Contents Details
Collected Eclectic Ideas - preface by the author.............................3 Contents....................................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in Astronomy, by Florentin Smarandache.. 36 BIOLOGY......................................40 4. Statistical Modeling of Primary Ewing Tumors of the Bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, in in , Vol. 3, No. JJ05, 81-88, 2005................41 CALCULUS....................................53 5. A Triple Inequality with Series and Improper Integrals, by Florentin Smarandache, in Bulletin of Pure and Applied Sciences, Vol. 25E, No. 1, 215-217, 2006.........54 6. Immediate Calculation of Some Poisson Type Integrals Using SuperMathematics Circular Ex-Centric Functions, by Florentin Smarandache & Mircea Eugen................................