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... 5 Probability Distribution of Blueshift Detection 6 Underlying Conditions 7 Probability Function in Surface Observation 8 Probability Function in Linear Observation 9 Summary 10 Appendixes I - Accumulated Probability Distribution 11 Appendixes II - Cross-Check with Redshift Survey...

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... 5 Probability Distribution of Blueshift Detection 6 Underlying Conditions 7 Probability Function in Surface Observation 8 Probability Function in Linear Observation 9 Summary 10 Appendixes I - Accumulated Probability Distribution 11 Appendixes II - Cross-Check with Redshift Survey References...

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...ht but it is the speed of time which is the same in all inertial systems. Our third postulate: the homogeneity of time-space is necessary to furnish linear transformation equations. We also state that there is no need to postulate the isotropy of space. Our article is the accumulation of all efforts from physicists to fix the Lorentz transformation equations and build c...

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...A few years ago I started editing my notes on experiential reality. Having to navigate the ever-shifting contours of reality made me forego free-flowing blog styles in favor of a tightly structured, synoptic format. Iterati...

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...0.".................. "Direct brain-to-brain (b2b) communication of experiential reality objects, scenes and events sounds perhaps farfetched but is a reasonable extrapolation from recent advances in nSPEC, GUI & MDA techniques (e.g. figures) that do not require quantum jumps in science & technology. Our smartphones already incorporate all elements of “universal translato...

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...is ~ navigating & manipulating hyperspace Synopsis III: Redesigning Agreement Reality (using n-dimensional language) III.1: Prospective III.2: A Holographic Principle ~ information, energy & mass equivalence III.3: The ALIAS Hypothesis ~ am I already living inside a simulation? III.4: Jailbreaking Mankind ~ nascent brain-to-brain communication ~ Postlude: ...

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...This book is perhaps the one that is most difficult to understand with just one reading, because it contains a concentration of all of A. Mercurio’s innovative thought. It is difficult to make a short synthesis of this book, so here we will simply mention some of the papers presented by the Author that the book contains. The book op...

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...these titles have been translated into English and placed in brackets { }. A list of all the authors books with a specification of those that already... ...hia-Art and the group laboratories on Existential Anthropology. They were a precious stimulus in the development of my ideas and my continuous sea... ... this form and great courage to publish. 6 A Warning for those who wish to Travel from one Universe to Another Th... ...g human existence and its content is the result of both an existential and a philosophical approach, even when it takes the form of myth and fable. ... ...able to imagine. The other philosophers are capable of reasoning only in a linear fashion, whereas I, instead, have learned to reason both in a circ... ...shion, whereas I, instead, have learned to reason both in a circular and a linear fashion, and then make a synthesis of the two, thus creating spira... ...t from the line and the circle taken separately. * A concrete example of linear thinking can be found in Saint Augustine’s linear concept of time ... ...t note that the spiritual growth of the ascetics and the saints is rigidly linear and not dialectical. We can also note the normal growth process of ... ... over others and the power to kill other people. Said in a simpler, more linear way: every time human beings are faced with the fear of death, the...

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

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...blished by Einaudi. I have translated these passages, instead of utilizing a renowned translation from Greek to English, because there seems to be n... ...these titles have been translated into English and placed in brackets { }. A list of all the authors books with a specification of which already are... ... TWO - Between Art, Sophia-Art and Cosmo-Art there is continuity as well as a qualitative leap.......................................................... ..................40 5 Forward This book was developed from a paper I wrote for Russian and Baltic country psychologists. They had co... ...logists. They had come to Italy to the Institute in Ascoli Piceno, which is a member of the Sophia University of Rome, to participate in a seminar on... .... Artists generally use mostly circular thinking, and when they think in a linear fashion, they insert it in a circular process. It’s a bit like how... ...y creating a circular movement between thesis, antithesis and synthesis. Linear thinking presupposes a type of absolute action coming from a single... ...inking presupposes the action of many causes together, or at least of two. Linear thinking presupposes that there is only one point of view, whereas...

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...terest the past few years has been the development and dissemination of G-dimensional theory (GDT). K. Toshihara, from Japan, proposed the concept of a paper defining G-Dimensional theory in relation to the Smarandache quantum paradoxes. After reviewing a draft, Dr. M. L. Perez, Editor of the SNJ, suggested the inclusion of the Smarandache (FTL) Hypothesis as well. So it i...

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... Elliptic Parameters of S'. {θ θ θ θ = arcsin(v)} S' a b f 1 v a / b σ σ σ σ e a 1 cos(θ θ θ θ) (4) cos 2 (θ θ θ θ) (4) ... ...1 cos(θ θ θ θ) (4) cos 2 (θ θ θ θ) (4) sin(θ θ θ θ)cos(θ θ θ θ) (5.1) a 2 sec(θ θ θ θ) (4) 1 (4) tan(θ θ θ θ) (5.1) sin(θ θ θ θ) (2) ... ... PARADOXES: Comparative Logic and Modern Quantum Theory T a b l e o f C o n t e n t s Page Abstract ... ... 4 - 5 2. The Smarandache Quantum Paradoxes 5-8 3 . G D T R e l a t i v i t y 8 - 2 0 4 . G D T P a r t i c l e F i e l d... ...ature”, Vol. 413, No. 6854] and Smarandache Hypothesis (FTL) are defined as a formal set of (anti-logic) statements inclusive in modern quantum theo... ... however, the eight ionizations of the 2p and 2s orbitals proceed in a near linear progression, so that there is no clear way to differentiate betwe... ... into the nucleus. In fact, particle accelerator experiments, e.g. Stanford Linear Accelerator (1968), indicate elastic, near-elastic or destructive ...

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...ears compiling this Book, showing people this new light and building the Contingent. He was put here to help them find the key to their own truth and a reason to live, to build a bridge to true PEACE in this world....

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...________ Introduction ________________________________________ Compassion… a word that seems to have been forgotten. Peace and freedom… something we ... ...ping, secrets and rules that constrict who can follow this unique path... a path to your personal freedom and, in the end, leading to peace for all ... ...personal freedom and, in the end, leading to peace for all in this world, a universal church you could say. This Book is the start of something trul... ...When people come to us, they find not only words of truth and justice by a man walking here among you in the world that goes only by one name - "Ne... ... name - "Neo", you may have heard of him in the past - but they also find a cast of beliefs that echo their own, and some that most people might not ... ...we are from, or have been, or will be. It's a matter of getting out of the linear expressions of time, and going to fractal time. Now, not as enough ... ... repeat itself, one can learn a lot from the past... whether that past is linear, parallel, or running in any other direction, really. And no one ca...

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...The theory of loops (groups without associativity), though researched by several mathematicians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absent. This is in marked contrast with group theory where books are abundantly available for all levels: as gr...

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... AMERICAN RESEARCH PRESS REHOBOTH 2002 A 1 L 15 (8) {e} A 15 B 1 B 5 1 Smarandache Loops W. B... ... American Research Press Rehoboth, NM 2002 A 11 L A 7 A 8 A 6 A 10 A 1 A 2 A 3 A 4 A 5 2 The pictu... ...op L 15 (8). The lattice of subgroups of the commutative loop L 15 (8) is a non-modular lattice with 22 elements. This is a Smarandache loop which s... ...andache concepts one wouldn't have studied the collection of subgroups of a loop. This book can be ordered in a paper bound reprint from: ... ... 5 1. General Fundamentals 1.1 Basic Concepts 7 1.2 A few properties of groups and graphs 8 1.3 Lattices and its properties... ...NITION 1.3.3: A partial order relation ≤ on A is called a total order (or linear order) if for each a, b ∈ A either a ≤ b or b ≤ a. (A, ≤) is then c... ...NITION 1.3.7: A partial order relation ≤ on A is called a total order (or linear order) if for each a, b ∈ A either a ≤ b or b ≤ a. (A, ≤) is then ca... ...ns, Elsevier Pub., (1976). 4. Bruck.R.H, Some results in the theory of linear non-associative algebra, Trans. Amer. Math. Soc., Vol.56, 141-199 (...

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... cea mai mare localitate din Arizona (datorita mineritului). Mergem cu masina lui Ely, MAZDA ’84 – are deja peste 120.000 de mile la bord. Mina Queen a fost deschisa în 1917, în 1920 electrificata, în 1941 închisa, iar în 1975 refacuta pentru turisti. E grea viata sub pamânt! Nesigura, umezeala, întuneric. Intram la 500 de picioare adâncime pe o lungime de 1800 de picioare...

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... Descrierea CIP a Bibliotecii Na ţionale a României SMARANDACHE, FLORENTIN Frate cu mer... ...a ţa sub pământ 11 februarie 1995 Vizit ăm mina Queen din or ăşelul a şezat între dealuri, dar cochet, Bisbee. N-am ştiut ca pe la începutul s... ...lui Ely, MAZDA ’84 – are deja peste 120.000 de mile la bord. Mina Queen a fost deschis ă în 1917, în 1920 electrificat ă, în 1941 închis ă, iar în... ...“Nickerson” cu friptur ă de stru ţi, şi totu şi n-am v ăzut-o pân ă nu mi-a ar ătat-o Mihai! La Yuma (periferie) sunt numai trailere, mobil homes, ... ... ţe de cultur ă general ă.) Ei dispun de o superioritate... ingenioas ă! A şa au fost educa ţi: cei mai puternici, cei mai - cei mai! Iar unde sunt... ... asupra cuno ştin ţelor viitoare, ale c ăror evenimente deviaz ă cursul linear al istoriei. Tot în expozi ţia de "science fiction" din Muzeul "N... ...icolului: nu mai g ăseam intrarea la Pima College, unde predasem algebr ă linear ă, ecua ţii diferen ţiale şi clase preg ătitoare (developmental) în...

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... H E X I S Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Info... ...n the hospital they were either terminally ill or the disease has advanced to a chronic stage. We mainly choose this group because they are the most... ...ible for ill treatment of the women in India. The Laws of Manu treat women as a mere object. They can never be independent entities or even policy-... ...mselves. The pitiable impact of Manu on these uneducated rural men has become a part and parcel of them that they treat women very badly. This patri... ...ong rural women in India. This book has six chapters. The first chapter gives a brief introduction about HIV/AIDS among rural women in Tamil Nadu. ... ...l function S j (y j ). However the competitive learning law can be reduced to linear competitive learning law ij m = S j (y j ) (x – m j ), ...

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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 economic models and so o...

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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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... HEXIS Phoenix, Arizona 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Informa... ... CONTENTS Preface 5 Chapter One INTRODUCTION TO LINEAR ALGEBRA AND S- LINEAR ALGEBRA 1.1 Basic properties of linear al... ...GEBRA 1.1 Basic properties of linear algebra 7 1.2 Introduction to s-linear algebra 15 1.3 Some aapplications of S-linear algebra 30 ... ...Introduction of S-bigroups and S-bivector spaces 46 Chapter Three LINEAR BIALGEBRA, S-LINEAR BIALGEBRA AND THRIR PROPERTIES 3.1 Basic ... ...EBRA, S-LINEAR BIALGEBRA AND THRIR PROPERTIES 3.1 Basic properties of linear bialgebra 51 3.2 Linear bitransformation and linear bioperators... ...on 123 3.9 Markov bichains–biprocess 129 Chapter Four NEUTROSOPHIC LINEAR BIALGEBRA AND ITS APPLICATION 4.1 Some basic neutrosophic alg... ...f economic models and so on. This book has for the first time, introduced a new algebraic structure called linear bialgebra, which is also a very p... ...ons of these algebraic structures. It is important to mention here it is a matter of simple exercise to extend these to linear n-algebra for any n... ...ies about them. Also, application of linear bialgebra to bicodes is given. A remarkable part of our research in this book is the introduction of the...

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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 ne...

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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. Howeve...

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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 ...

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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 gro...

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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)...

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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 ...

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...ntroduced. 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 functionals. The final chapter suggests over a hundred problems. It is important that the reader should be well versed with not only linear algebra but also n-linear algebras of type I....

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... 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 n-vector spaces of type II are defined over n-fields. Some properties enjoyed by n-vector spaces of type II cannot be enjoyed by n-vector spaces of type I. To this; we for the sake of completeness just ...

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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 analogues of the classical linear algebra theorems. In case of n-vector spaces we can define several types of li...

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...hapter 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 interesting properties about them are derived in this chapter. DEFINITION 2.1: A n-vector space or a n-linear space of type I (n...

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...Preface 5 Chapter One BASIC CONCEPTS 7 Chapter Two n-VECTOR SPACES OF TYPE I AND THEIR PROPERTIES 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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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applications in several real models. In fact it is not an exaggeration if one says that matrix theory and linear algebra (i.e. vector space...

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...Matrices provide a very powerful tool for dealing with linear models. Bimatrices which we are going to define in this chapter are still a powerful and an advanced tool which can handle over one linear model at a time. Bimatrices will be use...

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... 2005 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inform... ...EIR PROPERTIES 2.1 Introduction to Bivector Spaces 79 2.2. Systems of linear biequations 87 2.3 Bitransformation in bivector spaces 96 2.4 ... ...paces 105 2.5 Bieigen values and Bieigen vectors 117 2.6 Bidiagonalizable linear bioperator and its properties 124 4 Chapter Three ... ...zy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices ... ...odels. In fact it is not an exaggeration if one says that matrix theory and linear algebra (i.e. vector spaces) form an inseparable component of eac... ...vention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroupoids, bisemigroups, etc. But most of these are ... ...ctures which can give itself for more and more lucid applications. So, as a first venture we have defined the notion of bimatrices. These bimatric... ...sed with respect to these operations. In fact this property will be nice in a way, for, in all our analysis we would not in general get a solution f... ...a way, for, in all our analysis we would not in general get a solution from a set we have started with. Only this incompleteness led to the inventio...

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...g reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a commutative ring with 1 (or a field) together with a loop or a groupoid or a vector space or a linear algebra. The two non-associative well-known algebras...

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...search Press Rehoboth, NM 2002 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Information... ... of Mathematics, Univ. of Tasmania, Hobart, Tasmania 7001, Australia. Dr. A. R. T. Solarin, Dept. of Mathematics, Obafemi Awolowo University, (former... ...it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a com... ... need two separate algebraic structures say a commutative ring with 1 (or a field) together with a loop or a groupoid or a vector space or a linear ... ... 1 (or a field) together with a loop or a groupoid or a vector space or a linear algebra. The two non-associative well-known algebras viz. Lie algeb... ...sociative rings boils down to the study of properties of vector spaces or linear algebras over fields. But study of non-associative algebras usin... ...e definition of fields or rings. DEFINITION 1.1.1: A vector space or a linear space consists of the following: 1. a field K of scalars. 2. a s... ...ltiplication on V. The reader is advised to learn the concept of basis, linear transformation, linear operator etc. We say a vector space is finit... ... say a vector space is finite dimensional if there exists a finite set of linearly independent elements (v 1 , v 2 , …, v n ) in V which generate V, ...

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... concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic....

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...n Research Press Rehoboth 2003 2 This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Information... ... Dr. M. Khoshnevisan, Sharif University of Technology, Tehran, Iran. Dr. A. R. T. Solarin, Dept. of Mathematics, Obafemi Awolowo University, (former... ...fferent from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category... ...c. We do not approach the bialgebraic structures using category theory or linear logic. We can broadly classify the study under four heads : ... ...v. Finally we construct bialgebraic structures using bivector spaces where a bigroup and a field are used simultaneously. The chief aim of this b... ... these notions for Smarandache concepts finds themselves accommodative in a better analysis by dissecting the whole structures into specified smalle... ..., v 2 , …, v n ) in a semivector space V over a semifield S is said to be linearly dependent if there exists a non-trivial relation among them; othe... ...exists a non-trivial relation among them; otherwise the set is said to be linearly independent. (The main difference between vector spaces and semiv... ...mivector space over the semifield S. For any subset A of V the set of all linear combinations of vectors in A is called the set spanned by A and we ...

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...The first chapter is introductory in nature and gives a few essential definitions and references for the reader to make use of the literature in case the reader is not thorough with the basics. The second chapter deals with different types of neutrosophic bilinear algebras and b...

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...1 Introduction to Bilinear Algebras and their Generalizations 9 1.2 Introduction to Neutrosophic Algebraic Structures 11 Chapter Two NEUTROSOPHIC LINEAR ALGEBRA 15 2.1 Neutrosophic Bivector Spaces 15 2.2 Strong Neutrosophic Bivector Spaces 32 2.3 Neutrosophic Bivector Spaces of Type II 50 2.4 Neutrosophic Biinner Product Bivector Space 198 Chapter Three NEUTROSOP...