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Projection (relational algebra) (X)

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 Book Id: WPLBN0002097043 Subjects: Non Fiction, Algebra, Smarandache Collections, Algebra ► Abstract Description Details...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 eco... Excerpt Details...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.... Full Text Search Details...NTENTS Preface 5 Chapter One INTRODUCTION TO LINEAR ALGEBRA AND S- LINEAR ALGEBRA 1.1 Basic properties of linear algebra ... ... 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 Chapter... ...PHIC LINEAR BIALGEBRA AND ITS APPLICATION 4.1 Some basic neutrosophic algebraic structures 131 4.2 Smarandache neutrosophic linear bialgebr... ...ery vector in S. Whenever the vector α exists it is called the orthogonal projection of β on W. If every vector in V has orthogonal projection on W... ...ion on W, the mapping that assigns to each vector in 13 V its orthogonal projection on W is called the orthogonal projection of V on W. Result ... ...ner product space, W is a finite dimensional subspace and E the orthogonal projection of V on W. Then the mapping β → β – E β is the orthogo... ...trices for NCMs and use rectangular neutrosophic matrices for Neutrosophic Relational Maps 138 (NRMs). We need the notion of neutrosophic graphs ... ... will be nothing but directed neutrosophic graphs. Similarly neutrosophic relational maps will also be directed neutrosophic graphs. It is no coinc... ...trices. The notion of these matrices have been used to define neutrosophic relational equations and fuzzy neutrosophic relational equations. 196...
 Book Id: WPLBN0002096586 Subjects: Non Fiction, Education, Fuzzy Theory ► Abstract Full Text Search Details...OTIONS / FEELINGS OF HIV / AIDS INFECTED WOMEN 2.1 Introduction to Fuzzy Relational Maps 14 2.2 Use of FRMs to analyze the socio economic ... ...ter 2 is an analysis of the situation using fuzzy theory in general and Fuzzy Relational Maps (FRM) in particular. The FRM tool is specially chosen ... ...r 4 for the first time we use neutrosophic theory in general and neutrosophic relational maps (NRM) in particular to analyze this problem. Intereste... ...Human Immunodeficiency Virus Epidemic in India: Current Magnitude and Future Projections. Medicine, Vol. 74, 97-106. 292 15. Broing, G. and Van... ...asamy and daughters Meena and Kama. Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In t... ...e has guided eight Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups... ...d a Book Series, consisting of ten research books on the topic of Smarandache Algebraic Structures which were published by the American Research Pr...
 Book Id: WPLBN0002097044 Collections: Math, Literature, Algebra, Authors Community, Mathematics ► Abstract Description Details...ices 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 spaces) form an inseparable component of each other. The study of bialgebraic structures led to the invention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroup... Full Text Search Details...UCTION TO NEUTROSOPHIC BIMATRICES 3.1. Introduction to some neutrosophic algebraic structures 139 3.2. Neutrosophic bimatrices 148 3.3. Neutro... ...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 each other... ...r bialgebra, bigroupoids, bisemigroups, etc. But most of these are abstract algebraic concepts except, the bisemigroup being used in the constructio... ...have used them in Neutrosophic Cognitive Maps model and in the Neutrosophic Relational Equations models, which are analogous to Fuzzy Cognitive Map ... ...nal Equations models, which are analogous to Fuzzy Cognitive Map and Fuzzy Relational Equations models respectively. These bimatrices, fuzzy bimatr... ...or making or realizing each E i is the biprojection, i.e., 12 ii EE ∪ is projection on 12 ii WW ∪ . We can easily verify E i o E j = ( )... ...jj EEo EE ∪∪ = ( ) 11 22 ijij EoE EoE ∪ = 0 ∪ 0 as kk ij E andE are projection on kk ij W and W respectively k = 1, 2. 137 Thus on simi... ...atrices. The notion of these matrices have been used to define neutrosophic relational equations and fuzzy neutrosophic relational equations. ...
 Book Id: WPLBN0002097104 ► Abstract Full Text Search Details...he problem of HIV/AIDS Migrant Labourers 271 5.5 Linked Neutrosophic Relational Maps and its application to Migrant Problems 288 5.6 Comb... ...ctims. This study is done in Chapter IV. In chapter V we use Neutrosophic Relational Maps and we define some new neutrosophic tools like Combined Di... ...sophic cognitive maps, combined neutrosophic cognitive maps, neutrosophic relational maps and further define some new techniques for first time call... ... are Maximum Infected, Using Fuzzy Matrices In this section we give an algebraic approach to the problem of studying the psychological aspects an... ...es are the synaptic efficacies m ij . The matrix M describes the forward projections from the neuronal field F X to the neuronal field F Y . Simil... ...l field F Y . Similarly a p by n synaptic matrix N describes the backward projections from F Y to F X . Unidirectional networks occur when a neuron... ...ightage according to their feelings. If x ∈ F X and y ∈ F Y the forward projections from F X to F Y is defined by the matrix M. {F(x i , y j )} ... ...y and daughters Meena and Kama. Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the p... ...s guided eight Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, an...
 Book Id: WPLBN0002097119 ► Abstract Full Text Search Details...time is real and spatial coordinates are imaginary, because the observable projection of a four- dimensional impulse on the spatial section of any giv... ... 15 Volume 2 PROGRESS IN PHYSICS July, 2005 his observable quantities are projections of four-dimensional quantities on his time line and the spatial... ...α is his velocity with respect to his real references). Thus, the chr.inv.-projections of a world-vector Q α are b α Q α = Q 0 √ g 00 and h i α Q α =Q... ...00 =F 00 =0, as for any anti- symmetric tensor of the 2nd rank, after some algebra we obtain the other components of the feld tensor F αβ F 0i = 1 c 2... ...ccount that the Lorentz condition for the feld b α is D=0 (48), after some algebra we obtain the chr.inv.-d’Alembert equations for the time density fe... ...onsiderations, the theory of gravitational waves is directly linked to the algebraical classi- fcation of spaces given by Petrov [37] ( Petrov classif... ...d a real metaphysical property of a substance, in an effort to support his relational account of space-time. Leibniz’s defnition of vis viva as a real... ...s whether it does really make sense to speak of either a substantival or a relational account of space-time. Since diametrically opposite views of thi... ..., maybe it would make sense to investigate whether both a substantival and relational space-time is a possibility. This two-level approach seems not t...
 Book Id: WPLBN0002097060 Subjects: Non Fiction, Philosophy, Art ► Abstract Full Text Search Details...paradoxist intuition is a high level of awareness; - postmodernist; - an algebraic, physical and chemical philosophy; - consistent with its inconsi... ...rough the objects and see the essence. What could be a philosophical algebra? But a philosophical vector space? And how should we introduce a p... ...means. Kundalini Energy (of divine nature) is the universal energy's projection in us. Athman (individual inward) blends with Brahman (col... ...ski, and others), system of interrogative expressions and their answers. Relational Logic (Pierce 1870, 1882) is a formal study of the properties of... ..., Õ), where NL is the set of neutrosophic logical propositions, is not an algebra. Nor ( c(. 0, 1 + 0), 3, 4, C), where c(. 0, 1 + 0) is the set o...
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