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... de antiteze, antinomii, contradicţii, oximorone, parabole, paradoxuri în creaţie. A fost înfiinţat de către scriitorul, artistul, şi omul de ştiinţă Florentin Smarandache în anii 1980 în România, care dorea “lărgirea sferei artistice prin elemente neartistice şi prin experimente contradictorii; în special creaţie în contratimp, contra-sens.” pArAdOxIsM - the last front...

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L) Limitele filozofiei Întreaga filozofie este un tautologism: adevărat în virtutea de formă, pentru că orice idee lansată pentru prima oară este dovedită ca adevărată de către iniţiatorul(ii) său(i). Prin urmare, filozofia este goală sau dezinformativă, şi reprezintă a priori cunoaşterea. Se poate afirma: Totul este adevărat, chiar si falsul! Şi totuşi, întreaga filozofie este un nihilism: pentru ca orice idee, odată dovedită adevărată, este mai tîrziu dovedită ca falsă de către urmaşi. Este o contradicţie: fals în virtute de formă. Prin urmare, filozofia este supra-informativă şi o cunoaştere a posteriori. Astfel, se poate afirma: Totul este fals, chiar şi adevărul!...

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Introducere ............................................................. 5 pARadOXisMul - ultima avangardă a mileniului doi ...................................................... 12 1. Definiţie ............................................................ 12 2. Etimologie ........................................................ 12 3. Istoric ................................................................. 13 4. Caracteristici ale Paradoxismului ................. 16 5. Direcţii pentru Paradoxism ........................... 17 „Dicţionar de informatică“, de Denis Howe .. 18 1. Neutrosofie ....................................................... 18 2. Logica neutrosofică ......................................... 19 3. Mulţime Neutrosofică .................................... 20 4. Probabilitate Neutrosofică ............................. 21 5. Statistici neutrosofice ...................................... 22 Neutrosofia, o Nouă Ramură a Filosofiei ....... 24 1. Abstract ............................................................ 24 1.1. Cuvînt înainte .......................................... 25 1.2. Neutrosofie, o no...

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...И. 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...

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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....

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A sample of idioms in book form.

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• Eşti liber să crezi că eşti liber. • Depinde de tine cât de independent vrei să fii. • A ieşit basma curată, deşi era cu musca pe căciulă. • Călăii au fost lăsaţi să judece după cum îi taie capul. • Ortopedului îi plăcea să pună osul la treabă. • Nituitorul avea cam multă bătaie de cap. • Era moartă după cel care tocmai decedase. • După ce moare încrederea şi optimismul, urmează speranţa. • Stăteau spate-n spate şi făceau feţe, feţe. • Lui Nazarie i s-a năzărit că zăreşte ceva în zare. • Eu cu fizica, el cu metafizica şi ea cu fizicul. • Pe unul îl înşelau speranţele, iar pe celălalt îl înşela soţia. • L-am amăgit că mă dezamăgeşte. • Dacă ai fi obligat să numeri până la un miliard, ai ezita să devii miliardar...

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Creionări încondeiate .......................................... 5 Distihuri proverbiale .......................................... 49 Poezii paradoxiste .............................................. 69 Dialoguri hazlii .................................................. 77 Dicţionar paradoxist ........................................... 95...

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"Искусство лая"-это уникальная книга, дающая ряд советов, как наилучшим образом использовать ваше любимое животное или собаку НА СЛУЖБЕ и в других жизненных ситуаци я х . РЯД таких жемчужин выросли из нашего собственного опыта, другие явнлись следствием наблюдения, ЧТО происходит вокруг нас. Наш последний совет, прежде чем вы начнёте читать эту книгу: а) следуйте этим советам на своИ страх и риск. б>управлять вашей внешней собакой гораздо легче, чем той "собакой ll или зверем, который сидит внутри вас, в) не берите с собой собаку на службу , если вы не до конца уверены, что собака на вашей стороне. собакам. “The Art of Wag” is a unique booklet comprised of advices and possible tips you can use on how to make the best out of your pet/dog in workplace and other situations. Some of these gems come from our own experience, and some come from watching these practices surrounding us. As our last advice before you jump through this book, (a) do these advices at your own risks; (b) managing the dog outside is much easier than managing ‘the dog’ inside yourself; (c) don’t take your dog to workplace/office if you are not con...

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-Если вы не ведущая собака ... ТО вам ничего не светит впереди. -Всё возможно, особенно если у вас большой Доберман. -Во время встречи легче отстаивать свою точку зрения, если рядом сидит Доберман. -Гораздо легче убеждать людей с собакой, чем без неё. Есть два способа приучить СОТРУДНИКОВ офиса к присутствию собаки: вначале принеС~lТе маленькую собачку Чао - чао или Далмацию, а уж ПОТОМ при водите боЛЬШОГО Добермана. - Если вы ведёте разговор о продвижении по службе, то делайте это в ПРИСУТСП!iИИ добермана. • If you’re not the lead dog … the view never changes. • All is really possible, especially with a big Doberman. • In a meeting, it’s easier to argue your point with a big Doberman besides you. • It’s more effective to convince people with persuasion and a big dog, rather than with persuasion alone. • There are two types of dog-approach in office: (a) first bring a small and funny dog, like Chihuahua or Dalmatian, (b) then bring a big Doberman. • It’s possible to bring your Doberman when asking for a raise. ...

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Предисловие Искусство лая CONTENTS СОДЕРЖАНИЕ 3 ЛаИ в офисе 4 ЛаИ в политике 6 Лай на улице 8 ЛаИ в школе 9 Обращение ко всем кто может внести свою лепту в искусство лая 10...

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“The Art of Wag” is a unique booklet comprised of advices and possible tips you can use on how to make the best out of your pet/dog in workplace and other situations. Some of these gems come from our own experience, and some come from watching these practices surrounding us. As our last advice before you jump through this book, (a) do these advices at your own risks; (b) managing the dog outside is much easier than managing ‘the dog’ inside yourself; (c) don’t take your dog to workplace/office if you are not confident enough that your dog is always at your side. ...

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• If you’re not the lead dog … the view never changes. • All is really possible, especially with a big Doberman. • In a meeting, it’s easier to argue your point with a big Doberman besides you. • It’s more effective to convince people with persuasion and a big dog, rather than with persuasion alone. • There are two types of dog-approach in office: (a) first bring a small and funny dog, like Chihuahua or Dalmatian, (b) then bring a big Doberman. • It’s possible to bring your Doberman when asking for a raise. ...

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Preface 4 The Art of Wag 8 Call for Contributions 16

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

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作者在近年来 提出的似是而非和自相矛盾推理，DSmT，可以看作是 经典的 DSmT 的扩展，但是它们又存在着重要的差异。比如，DSmT 可以处理由 信度函数表示的任意类型独立信息源间的信息融合问题，但它的重点是处理不确 定、高度冲突和不精确的证据源的融合问题。DSmT 能够不受 DST 框架的限制， 处理复杂的静态或动态融合问题，特别是当信息源间的冲突非常大时，或者是所考 虑问题的框架（一般情况下用Θ表示）由于Θ中命题 之间的界限模糊、不确定、 不精确而很难细分时，DSmT 便发挥了它的优势。...

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A collection of short poems with an underlying tone of humor and parody.

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CIOARA Croncănind în zbor planat, M-a stropit pe cap o cioară; Zic, nervos, dar resemnat: Bine că vaca nu zboară! POZA ŞI PERETELE Eu, cum te-am văzut în casă, Am rămas tablou, băiete! Zise poza, languroasă, Către un perete....

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În loc de prefaţă ......................................................................................... 5 Microfabule ................................................................................................... 7 Fabule ........................................................................................................... 22 Parodii ........................................................................................................ 32 Epigrame ......................................................................................................37 EpitafUri ......................................................................................................... 44 Catrene şi cuvinte paradoxiste ..............................................................47 Puţină dragoste ........................................................................................ 51 Distihuri proverbiale ............................................................................... 59 Dialoguri rimate paradoxiste .................................................................. 65 Definiţii rebusiste ........................

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..., translations, definitions, figures of paradoxism, monorhymes, and abbreviations), which afterwards are respectively turned into their corresponding Florentin’s Laws, clichés, homonyms, etc. and exemplified....

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...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...

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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....

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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’. ...

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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...

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We focus our discussions in this book on cities, because in our opinion a city is the smallest economic entity which has ‘self-organizing’ character, in a sense that a city can grow by itself (with minimum intervention). Nonetheless, this book will not discuss the self-organization character itself, but a new concept called ‘Cultural Economy’ development. Cultural Economic here is part of leisure and tourism industry, and depends on taste, advertisement, history, and the quality of being diverse, distinctive, with a large spectrum of varieties....

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Content ................... 3 Prologue ....................... 4 Biography of authors .................. 7 Chapter 1. Historical Precursor ............. 8 Pitfalls of Industrialization Is there alternative to industrialization? A review of economics thinking Box I: Cultural Advantage and Cultural Studies Chapter 2. Cultural Advantage as Alternative ............. 20 De-Industrialization and Emergence of Experience Economy Cultural Advantage, a new proposition Chapter 3. High-Tech/High-Touch and Cultural Advantage ..... 31 To automate or not to automate? How to implement Cultural Advantage in city development Box III: Cultural Advantage and Anthropology Chapter 4. A few examples: Lessons to learn ............. 40 a. Nicosia b. Toronto c. Venice d. Huzhou e. Valencia f. Chicago g. Romanian Lesson h. Eastern Europe Lesson i. Argentina Lesson Chapter 5. Introduction to Poly-Emporium Theory ............. 49 A new proposition: Extended Tobin Tax Bibliography.........60...

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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....

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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. ...

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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...

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...cs, and therefore we can think that the quantization of orbit distances can be caused by superfluid helium quantization. This issue is explored by F. Smarandache and V. Christianto. Moreover, F. Smarandache also discusses possible new era of research that is pertaining to superluminal physics and instantaneous physics. Ion Patrascu and D. Rabounski discuss superluminality ...

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...RN. (I. Patrascu) Progress in Physics Vol.4, 2011...................127 Superluminal physics and Instantaneous physics as new trends in research (F. Smarandache) ...................129 The Hypergeometrical Universe: Cosmology and Standard Model. (M.A. Pereira). Jan. 2012...................134 On astrometric data and time-varying sun earth distance in light of Carmeli me...

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...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 th...

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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. ...

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...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 c...

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This book has six chapters. First chapter is introductory in nature. The new concept of non-associative semi-linear algebras is introduced in chapter two. This structure is built using groupoids over semi-fields. Third chapter introduces the notion of non-associative linear algebras. These algebraic structures are built using the new class of loops. All these non-associative linear algebras are defined over the prime characteristic field Zp, p a prime. However if we take polynomial non associative, linear algebras over Zp, p a prime; they are of infinite dimension over Zp. We in chapter four introduce the notion of groupoid vector spaces of finite and infinite order and their generalizations. Only when this study becomes popular and familiar among researchers several applications will be found. The final chapter suggests around 215 problems some of which are at research level. ...

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Ln(m) is a loop of order n + 1 that is Ln(m) is always of even order greater than or equal to 6. For more about these loops please refer [37]. All properties discussed in case of groupoids can be done for the case of loops. However the resultant product may not be a loop in general. For the concept of semifield refer [41]. We will be using these loops and groupoids to build linear algebra and semilinear algebras which are non associative. ...

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Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two NON ASSOCIATIVE SEMILINEAR ALGEBRAS 13 Chapter Three NON ASSOCIATIVE LINEAR ALGEBRAS 83 Chapter Four GROUPOID VECTOR SPACES 111 Chapter Five APPLICATION OF NON ASSOCIATIVE VECTOR SPACES / LINEAR ALGEBRAS 161 Chapter Six SUGGESTED PROBLEMS 163 FURTHER READING 225 INDEX 229 ABOUT THE AUTHORS 231 ...

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This book has six chapters. The first one is introductory in nature. Second chapter introduces complex modulo integer groupoids and complex modulo integer loops using C(Zn). This chapter gives 77 examples and forty theorems. Chapter three introduces the notion of nonassociative complex rings both finite and infinite using complex groupoids and complex loops. This chapter gives over 120 examples and thirty theorems. Forth chapter introduces nonassociative structures using complex modulo integer groupoids and quasi loops. This new notion is well illustrated by 140 examples. These can find applications only in due course of time, when these new concepts become familiar. The final chapter suggests over 300 problems some of which are research problems....

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...THEOREM 2.1: Let G = {C(Zn), *, (t, u); t, u ∈ Zn} be a complex modulo integer groupoid. If H ⊆ G is such that H is a Smarandache modulo integer subgroupoid, then G is a Smarandache complex modulo integer groupoid. But every subgroupoid of G need not be a Smarandache complex modulo interger subgroupoid even if G is a Smarandache groupoid. ...

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This book is organized into seven chapters. Chapter one is introductory in content. The notion of neutrosophic set linear algebras and neutrosophic neutrosophic set linear algebras are introduced and their properties analysed in chapter two. Chapter three introduces the notion of neutrosophic semigroup linear algebras and neutrosophic group linear algebras. A study of their substructures are systematically carried out in this chapter. The fuzzy analogue of neutrosophic group linear algebras, neutrosophic semigroup linear algebras and neutrosophic set linear algebras are introduced in chapter four of this book. Chapter five introduces the concept of neutrosophic group bivector spaces, neutrosophic bigroup linear algebras, neutrosophic semigroup (bisemigroup) linear algebras and neutrosophic biset bivector spaces. The fuzzy analogue of these concepts are given in chapter six. An interesting feature of this book is it contains nearly 424 examples of these new notions. The final chapter suggests over 160 problems which is another interesting feature of this book....

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Now we proceed onto define the notion of neutrosophic subgroup of a neutrosophic group. DEFINITION 1.2: Let N(G) = (GuI) be a neutrosophic group generated by G and I. A proper subset P(G) is said to be a neutrosophic subgroup if P(G) is a neutrosophic group i.e. P(G) must contain a (sub) group. Example 1.3: Let N(Z2) = 􀂢Z2 􀂉 I􀂲 be a neutrosophic group under addition. N(Z2) = {0, 1, I, 1 + I}. Now we see {0, I} is a group under + in fact a neutrosophic group {0, 1 + I} is a group under ‘+’ but we call {0, I} or {0, 1 + I} only as pseudo neutrosophic groups for they do not have a proper subset which is a group. So {0, I} and {0, 1 + I} will be only called as pseudo neutrosophic groups (subgroups). We can thus define a pseudo neutrosophic group as a neutrosophic group, which does not contain a proper subset which is a group. Pseudo neutrosophic subgroups can be found as a substructure of neutrosophic groups. Thus a pseudo neutrosophic group though has a group structure is not a neutrosophic group and a neutrosophic group cannot be a pseudo neutrosophic group. Both the concepts are different. Now we see a neutrosophic group ...

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Preface 5 Chapter One INTRODUCTION 7 Chapter Two SET NEUTROSOPHIC LINEAR ALGEBRA 13 2.1 Type of Neutrosophic Sets 13 2.2 Set Neutrosophic Vector Space 16 2.3 Neutrosophic Neutrosophic Integer Set Vector Spaces 40 2.4 Mixed Set Neutrosophic Rational Vector Spaces and their Properties 52 Chapter Three NEUTROSOPHIC SEMIGROUP LINEAR ALGEBRA 91 3.1 Neutrosophic Semigroup Linear Algebras 91 3.2 Neutrosophic Group Linear Algebras 113 Chapter Four NEUTROSOPHIC FUZZY SET LINEAR ALGEBRA 135 Chapter Five NEUTROSOPHIC SET BIVECTOR SPACES 155 Chapter Six NEUTROSOPHIC FUZZY GROUP BILINEAR ALGEBRA 219 Chapter Seven SUGGESTED PROBLEMS 247 FURTHER READING 277 INDEX 280 ABOUT THE AUTHORS 286 ...

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This book has four chapters. Chapter one is introductory in nature, for it recalls some basic definitions essential to make the book a self-contained one. Chapter two, introduces for the first time the new notion of neutrosophic rings and some special neutrosophic rings like neutrosophic ring of matrix and neutrosophic polynomial rings. Chapter three gives some new classes of neutrosophic rings like group neutrosophic rings, neutrosophic group neutrosophic rings, semigroup neutrosophic rings, S-semigroup neutrosophic rings which can be realized as a type of extension of group rings or generalization of group rings. Study of these structures will throw light on the research on the algebraic structure of group rings. Chapter four is entirely devoted to the problems on this new topic, which is an added attraction to researchers. A salient feature of this book is that it gives 246 problems in Chapter four. Some of the problems are direct and simple, some little difficult and some can be taken up as a research problem....

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Now we proceed onto define the notion of neutrosophic subgroup of a neutrosophic group. DEFINITION 1.1.2: Let N(G) = 〈G ∪ I〉 be a neutrosophic group generated by G and I. A proper subset P(G) is said to be a neutrosophic subgroup if P(G) is a neutrosophic group i.e. P(G) must contain a (sub) group. Example 1.1.3: Let N(Z2) = 〈Z2 ∪ I〉 be a neutrosophic group under addition. N(Z2) = {0, 1, I, 1 + I}. Now we see {0, I} is a group under + in fact a neutrosophic group {0, 1 + I} is a group under ‘+’ but we call {0, I} or {0, 1 + I} only as pseudo neutrosophic groups for they do not have a proper subset which is a group. So {0, I} and {0, 1 + I} will be only called as pseudo neutrosophic groups (subgroups). We can thus define a pseudo neutrosophic group as a neutrosophic group, which does not contain a proper subset which is a group. Pseudo neutrosophic subgroups can be found as a substructure of neutrosophic groups. Thus a pseudo neutrosophic group though has a group structure is not a neutrosophic group and a neutrosophic group cannot be a pseudo neutrosophic group. Both the concepts are different. Now we see a neutrosophi...

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Preface 5 Chapter One INTRODUCTION 1.1 Neutrosophic Groups and their Properties 7 1.2 Neutrosophic Semigroups 20 1.3 Neutrosophic Fields 27 Chapter Two NEUTROSOPHIC RINGS AND THEIR PROPERTIES 2.1 Neutrosophic Rings and their Substructures 29 2.2 Special Type of Neutrosophic Rings 41 Chapter Three NEUTROSOPHIC GROUP RINGS AND THEIR GENERALIZATIONS 3.1 Neutrosophic Group Rings 59 3.2 Some special properties of Neutrosophic Group Rings 73 3.3 Neutrosophic Semigroup Rings and their Generalizations 85 Chapter Four SUGGESTED PROBLEMS 107 REFERENCES 135 INDEX 149 ABOUT THE AUTHORS 154 ...

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...c 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....

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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. ...

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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...

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...roups or neutrosophic biinterval semigroups. We derive results pertaining to them. The new notion of quasi bisubsemigroups and ideals are introduced. Smarandache interval neutrosophic bisemigroups are also introduced and analysed. Also notions like neutrosophic interval bigroups and their substructures are studied in section two of this chapter. Neutrosophic interval bigro...

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Now we will be using these intervals and work with our results. However by the context the reader can understand whether we are working with pure neutrosophic intervals or neutrosophic of rationals or integers or reals or modulo integers. This chapter has four sections. Section one introduces neutrosophic interval bisemigroups, neutrosophic interval bigroups are introduced in section two. Section three defines biinterval neutrosophic bigroupoids. The final section gives the notion of neutrosophic interval biloops....

Table of Contents Details
Preface 5 Chapter One BASIC CONCEPTS 7 1.1 Neutrosophic Interval Bisemigroups 8 1.2 Neutrosophic Interval Bigroups 32 1.3 Neutrosophic Biinterval Groupoids 41 1.4 Neutrosophic Interval Biloops 57 Chapter Two NEUTROSOPHIC INTERVAL BIRINGS AND NEUTROSOPHIC INTERVAL BISEMIRINGS 75 2.1 Neutrosophic Interval Birings 75 2.2 Neutrosophic Interval Bisemirings 85 2.3 Neutrosophic Interval Bivector Spaces and their Generalization 93 Chapter Three NEUTROSOPHIC n- INTERVAL STRUCTURES (NEUTROSOPHIC INTERVAL n-STRUCTURES) 127 Chapter Four APPLICATIONS OF NEUTROSOPHIC INTERVAL ALGEBRAIC STRUCTURES 159 Chapter Five SUGGESTED PROBLEMS 161 FURTHER READING 187 INDEX 189 ABOUT THE AUTHORS 195 ...

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

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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...

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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...