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...The Republic is a Socratic dialogue written by Plato around 380 BC concerning the definition of justice and the order and character of the just city-state and the just man....

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...The algebraic structure, linear algebra happens to be one of the subjects which yields itself to applications to several fields like coding or communication theory, Markov chains, representation of groups and graphs, Leontief...

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

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... ISBN: 1931233-97-7 Standard Address Number: 297-5092 Printed in the United States of America 3 CONTENTS Preface ... ... SUGGESTED PROBLEMS 201 BIBLIOGRAPHY 223 INDEX 229 ABOUT THE AUTHORS 238 5 Preface The algebraic structure, lin... ... Preface The algebraic structure, linear algebra happens to be one of the subjects which yields itself to applications to several fields like c... ...f groups and graphs, Leontief economic models and so on. This book has for the first time, introduced a new algebraic structure called linear bialge... ...very powerful algebraic tool that can yield itself to applications. With the recent introduction of bimatrices (2005) we have ventured in this boo... ...This chapter has three sections. In section one; we just recall the basic definition of linear algebra and some of the important theorems. In secti... ...ear algebra and some of the important theorems. In section two we give the definition of S-linear algebra and some of its basic properties. Section ... ... 1.1 Basic properties of linear algebra In this section we give the definition of linear algebra and just state the few important theorems li... ...Cayley Hamilton Theorem and give some properties about linear algebra. DEFINITION 1.1.1: A vector space or a linear space consists of the follow...

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...Lt Col John J. Zentner’s The Art of Wing Leadership and Aircrew Morale in Combat addresses the role that the air force wing commander plays in affecting the level of aircrew morale during combat. More specifically, Colonel Zentner’s study seeks to id...

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.... . . . . . . . . .98 Findings . . . . . . . . . . . . . . . . . . . . . . . . .98 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . .98 2 THE MORALE PROBLEM. . . . . . . . . . . . . . 11 Who Is the Leader? . . . . . . . . . . . . . . . . 11 Morale: The Definition . . . . . . . . . . . . . . . 12 The Power of Three . . . . . . . . . . . . . . . . . 15 Mainta...

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...This book has four chapters. The first chapter just introduces n-group which is essential for the definition of n-vector spaces and n-linear algebras of type I. Chapter two gives the notion of n-vector spaces and several related results which are analogu...

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...n-VECTOR SPACES OF TYPE I AND THEIR PROPERTIES In this chapter we introduce the notion of n-vector spaces and describe some of their important properties. Here we define the concept of n-vector spaces over a field which will be known as the type I n-vector spaces or n-vector spaces of type I. Several...

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...PERTIES 13 Chapter Three APPLICATIONS OF n-LINEAR ALGEBRA OF TYPE I 81 Chapter Four SUGGESTED PROBLEMS 103 FURTHER READING 111 INDEX 116 ABOUT THE AUTHORS 120...

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...This book has three chapters. In the first chapter the notion of n-vector spaces of type II are introduced. This chapter gives over 50 theorems. Chapter two introduces the notion of n-inner product vector spaces of type II, n-bilinear forms and n-linear func...

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...In this chapter we for the first time introduce the notion of n-vector space of type II. These n-vector spaces of type II are different from the n-vector spaces of type I because the n-vector spaces of type I are defined over a field F where as the...

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...paces of Type II 10 Chapter Two n-INNER PRODUCT SPACES OF TYPE II 161 Chapter Three SUGGESTED PROBLEMS 195 FURTHER READING 221 INDEX 225 ABOUT THE AUTHORS 229...

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...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 notio...

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...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 ado...

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...RATIONS TO INTERVALS 9 Chapter Three FINITE COMPLEX NUMBERS 41 Chapter Four NATURAL PRODUCT ON MATRICES 81 FURTHER READING 147 INDEX 148 ABOUT THE AUTHORS 150...

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...“Aptavani 9” is the ninth in a series of spiritual books titled “Aptavani”. In this series, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan addresses age-old unanswered questions of spiritual seekers. Dadashri offers in-depth ans...

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...“Aptavani 9” is the ninth in a series of spiritual books titled “Aptavani”. In this series, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan addresses age-old unanswered questions of spiritual seekers. Dadashri offers in-depth ans...

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...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 app...

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...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 th...

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...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...

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...hoice and is not an inevitable outcome to difficult experiences. Through well established meditation and mindfulness practices we can begin to change the habits that precipitate the stress response and change our habitual behaviour to become a more calm and happier person. This is a handbook that explains how stressful patterns of behaviour manifest and how we can develop ...

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...of stress at some stage in our life. This could be mild frustration at not getting what we want, when we want it, such as standing in a long queue at the supermarket or experiencing a computer crash just as we have completed a long email. Stress can also manifest as anger and even rage. Some people manage to overcome these events and quickly return to a calmer state of min...

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...In the book “Brahmacharya: Celibacy With Right Understanding”, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan offers unique insight into the definition of celibacy and the benefits of brahmacharya. He clarifies comm...

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...In the book “Brahmacharya: Celibacy With Right Understanding”, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan offers unique insight into the definition of celibacy and the benefits of brahmacharya. He clarifies comm...

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...In the book “Brahmacharya: Celibacy With Right Understanding”, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan offers unique insight into the definition of celibacy and the benefits of brahmacharya. He clarifies comm...

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...In the book “Brahmacharya: Celibacy With Right Understanding”, Gnani Purush (embodiment of Self knowledge) Dada Bhagwan offers unique insight into the definition of celibacy and the benefits of brahmacharya. He clarifies comm...

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...The scholastic psychunlogy is the part of psychunlogy that studies the multiple aspects of the influence of the disorganized education practiced in schools, of the misprocesses resulted from the educational intervention with ...

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...The separation of psychunlogy from philosophy and its deformation as an autonomous science takes place, especially as a result of the great regresses registered in some of the unnatural sciences such as biology (the anatomy a...

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...Psychological Science Fiction (Unpreface) ................. 3 Table of Contents .................................. 4 Chapter 1 – The non-object and the psychunlogy’s problems .......... 7 The science of psychunlogy .............................. 7 The psychic, brain’s malfunction, non‐objective reflection of the non‐objective world ....... 7 The psy...

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...Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set...

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...The neutrosophic set generalizes the above mentioned sets from philosophical point of view. From scientific or engineering point of view, the neutrosophic set and set-theoretic operators need to be specified. Otherwise, it wi...

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...COUNTER has been developed to provide a set of international, extendible Codes of Practice that allow the usage of online information products and services to be measured in a credible, consistent and compatible way using vendor generated data. This COUNTER Code of Practice for Books and Reference Works specifies: the dat...

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...CONTENTS 1. Foreword 2. General information 3. Definitions of terms used 4. Usage reports 5. Data processing 6. Auditing 7. Compliance 8. References to other standards, protocols and codes of practice 9. Governance of COUNTER 10.Maintenance and development of the ...

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... Counting Online Usage of NeTworked Electronic Resources The COUNTER Code of Practice Books and Reference Works: Release 1 ... ... to provide a set of international, extendible Codes of Practice that allow the usage of online information products and services to be measured in a ... ...ata. This COUNTER Code of Practice for Books and Reference Works specifies: the data elements to be measured; definitions of these data elements; usag... ... for Books and Reference Works specifies: the data elements to be measured; definitions of these data elements; usage report content, format, frequenc... ...es regarding commercial reproduction or distribution should be addressed to the Project Director, Dr Peter T Shepherd (pshepherd@projectCounter.org) ... ...Works Release 1: March 2006 CONTENTS 1. Foreword 2. General information 3. Definitions of terms used 4. Usage reports 5. Data processing 6. Auditing... ...odes of practice 9. Governance of COUNTER 10.Maintenance and development of the COUNTER Code of Practices Appendices 2 Note: Sections 3, 4, and 5 con... ...COUNTER Code of Practice provides guidance on data elements to be measured, definitions of these data elements, output report content and format, as w... .... In doing so, it covers the following areas: data elements to be measured; definitions of these data elements; content and format of usage reports; r...

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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 introd...

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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...

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...OPERTIES 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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...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, cl...

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...lse! - 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. FLO...

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...itude d 'une voix Iyrique, se trouvant, ~'{jdemment. en uu permaoent .. etat - de - moi" - comme il nous Ie die daus un titre 'lui se veut uoe Iyro• -definition de I'esprit ( .. L 'esprit est un etat - de - moi .. ) - voix doot oous entendron.s parler dans Ies saisons futures de la poesie roumaine cooccruporaioe, en aucun cas dam Ie registro de c1ameur.!, de mode passagcre...