This book extends the natural operations defined on intervals, finite complex numbers and matrices. Secondly the authors introduce the new notion of finite complex modulo numbers just defined as for usual reals. Finally we introduced the notion of natural product Xn on matrices. This enables one to define product of two column matrices of same order. We can find also product of m*n matrices even if m not does equal n. This natural product Xn is nothing but the usual prod...

In this chapter we just give a analysis of why we need the natural operations on intervals and if we have to define natural operations existing on reals to the intervals what changes should be made in the definition of intervals. Here we redefine the structure of intervals to adopt or extend to the operations on reals to these new class of intervals.

"Essayist Performance" This book demonstrates that artistic movement paradox lies founded by Romanian Smarandache far from reflecting a crisis of literature, it reconstructs, in an original and attractive. In this sense - appreciate Titu Popescu - movement is "an extension and formal doctrinal orientation destructionist that decade 70 - 80, has dominated American criticism", its source being in antimetaphyisics Nietzsche and Heidegger, in his critique of Freudian psychological identity.

Titu Popescu reuşeşte să deosebească, în concertul policrom şi polifon al literaturii române, apariţia unei noi mişcări: mişcarea paradoxistă. Şi nu numai că o descoperă, dar o şi explică, analizându- i originile şi caracteristicile. Titu Popescu fails to distinguish the multicolored and polyphonic concert of Romanian literature, a new movement: movement paradoxist. And not only reveals, but also explains, analyzing its origins and characteristics.

In this book the authors study the erasure techniques in concatenated Maximum Rank Distance (MRD) codes. The authors for the first time in this book introduce the new notion of concatenation of MRD codes with binary codes, where we take the outer code as the RD code and the binary code as the inner code.

We want to find efficient algebraic methods to improve the realiability of the transmission of messages. In this chapter we give only simple coding and decoding algorithms which can be easily understood by a beginner. Binary symmetric channel is an illustration of a model for a transmission channel. Now we will proceed onto define a linear code algebraically.

This book has five chapters. First chapter is introductory in nature. Here we just study chemical pollution caused by garment industries in chapter two of this book using fuzzy associative memories. In chapter three we give ways to control pollution by improving the system performance using hierarchical genetic fuzzy control algorithm. This study is carried out using the past data reported by Shimada et al (1995). Health hazards suffered by the agriculture labourers; cau...

In this chapter, we have used the fuzzy control method to find the correct measure of pressure and speed of kiln. Using data from Alathur cement industry, we have used mean of maximum method of fuzzy control with the data and we found the pressure and speed of kiln. Here the speed and pressure of kiln are important parameters in the kiln, because the SOx and N0X concentration is dependent on the kiln feed, coal feed and the kiln feed, coal feed are dependent on speed and...

This anticreation is a 1990-2006 experimental poetry collection. It intends to be the worst book and in the same time the best trash published in the United States and maybe in the world.

Good Morning This is GOD. I will be handling all your problems today. I will not need your help. So, have a nice day!

A collection of poetry relating to the author himself based on personal experiences.

FATE IRONY before may I have been ”me” the fate was done from geometric signs Lobacevsky’s ones after my face but not looking like me in dropping of time

This book aims to assist social scientists to analyze their problems using fuzzy models. The basic and essential fuzzy matrix theory is given. The book does not promise to give the complete properties of basic fuzzy theory or basic fuzzy matrices. Instead, the authors have only tried to give those essential basically needed to develop the fuzzy model. The authors do not present elaborate mathematical theories to work with fuzzy matrices; instead they have given only the ...

This is a book made up of short stories and poetry surrounding the topic of paradoxes from many authors all over the world who are looking to contribute to this meaningful compilation.

Infinite Regress If a self-causing cause Must continuously precede itself, Then there can be no origin To an infinite time line. Which suggests that Time dies not yet exist. The Origin of Infinite Time is.... Not Yet. In an infinite series- Without first and last- Each point- One is all.

In this book the authors study dual numbers in a special way. The main aim of this book is to find rich sources of new elements g such that g2 = 0. The main sources of such new elements are from Zn, n a composite number. We give algebraic structures on them. This book is organized into six chapters. The final chapter suggests several research level problems. Fifth chapter indicates the applications of dual numbers. The forth chapter introduces the concept of interval dua...

This book has six chapters. The first one is introductory in nature just giving only the needed concepts to make this book a self contained one. Chapter two introduces the notion of refined plane of labels, the three dimensional space of refined labels DSm vector spaces. Clearly any n-dimensional space of refined labels can be easily studied as a matter of routine.

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

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。

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 processin...

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 the...

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 curren...

In this book authors for the first time introduce the notion of supermatrices of refined labels. Authors prove super row matrix of refined labels form a group under addition. However super row matrix of refined labels do not form a group under product; it only forms a semigroup under multiplication. In this book super column matrix of refined labels and m Å~ n matrix of refined labels are introduced and studied. We mainly study this to introduce to super vector space of ...

THEOREM 1.1.1: Let S = {(a1 a2 a3 | a4 a5 | a6 a7 a8 a9 | … | an-1, an) | ai ∈ R; 1 ≤ i ≤ n} be the collection of all super row vectors with same type of partition, S is a group under addition. Infact S is an abelian group of infinite order under addition. The proof is direct and hence left as an exercise to the reader. If the field of reals R in Theorem 1.1.1 is replaced by Q the field of rationals or Z the integers or by the modulo integers Zn, n < ∞ still the conclusi...

This book is of Romanian culture books. Biblical Romanian literature is the most comprehensive, voluminous, and the most representative of the culture.

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

Florentin Smarandache, an American mathematician of Romanian descent has generated a vast variety of mathematical problems. Some problems are easy, others medium, but many are interesting or unsolved and this is the reason why the present book appears. Here, of course, there are problems from various types. Solving these problems is addictive like eating pumpkin seed: having once started, one cannot help doing it over and over again.

A collection of short prose essays.

CULTURAL NEWS1 (short prose poem) I queue up at the entry of art. queue for meat, queue for bread (Hurraaah Hurrah How fine is our life!) And I watch how someone builds their tomb in eternity. We beseech you to sit down each as far as possible in literature, we are announced by the hoarse interphone. -No, thanks. I prefer standing up, I find myself answering unquestioned. -But do come, please, come. the poetry is waiting for you - says the interphone, then to me: ...

A collection of short stories, children's stories, short theatre, and verses.

“Come on, Craiova; come on, students!” “Come on and score!” (They had failed to score.) The score was still close. The blue flags waved in the grandstands. The spectators made caps out of the newspapers – which they hadn’t bothered to read. (The papers, after all, had been specially printed for the match.) “Get your roasted sunflower seeds!” “Get your peanuts!” At the central stadium the places were occupied three to four hours before the beginning of the game. T...