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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...n this paper the symmetric primitive matrices of order n with exponent n − 2 are completely characterized by applying a combinatorial approach, i.e., mathematical combinatorics ([7]). Key words: primitive matrix, primitive exponent, graph....

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...Aims and Scope: The International J.Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 100-150 pages approx. per volume, which publishes original ...

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...d YUN BAI. . . . . . . . . . . . . . . . . . . . . . . . . . . .06 Curvature Equations on Combinatorial Manifolds with Applications to Theoretical Physics BY LINFAN MAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16 A Pair of Smarandachely Isotopic Quasigroups and Loops of the Same Variety BY T. G. JA´IY´EOL´A . . . . . . . . . . . . . . . ....

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

Description Details
...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

Description Details
...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...NG written by Lao Zi, an ancient philosopher of China. Then how it works to mathematics, not suspended in thought? This paper explains this action by mathematical logic on mathematical systems generalized to Smarandache systems, or such systems with combinatorial structures, i.e., combinatorial systems, and shows how to extend the homomorphism theorem in abstract algebra t...

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...iscussed in this paper, particularly, the CC conjecture presented by myself six years ago, which enables one to construct more symmetrical systems in mathematical sciences. Key Words: Smarandache sequence, labeling, Smarandache beauty, graph, group, Smarandache system, combinatorial system, CC conjecture...

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

Description Details
...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

Description Details
...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

Description Details
...Aims and Scope: The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all a...

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...nitive maps invented by Kosko and neutrosophic cognitive maps introduced by us help in the analysis of such real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem under investigation. This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matric...

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... by us help in the analysis of such real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem un... ...This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matrices, bigraphs,... ...t will be easy for an expert to work with. He need not be a person with good mathematical background. For an expert may be a doctor or a lay man wh... ...roughout this book will be denoted by dotted lines. The world of theoretical physics discovered graph theory for its own purposes. In the study of ... ... of the NRM model we will proceed on to describe the concepts of it in a more mathematical way. DESCRIPTION OF A NRM: Neutrosophic Cognitive Ma... .... 58. Jacobson, N. Structure of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 59. Jang, S.R., C.T. Sun and E. Mizutani. ... ...n USA. He published over 75 books and 100 articles and notes in mathematics, physics, philosophy, psychology, literature, rebus. In mathematics hi... ...nd imprecise probability). Also, small contributions to nuclear and particle physics, information fusion, neutrosophy (a generalization of dialecti...

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...their properties It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from X to Y, binary re... ...ominated criterion vectors is called the non-dominated set. In the absence of a mathematical specification of the decision maker’s utility function,... ...ity to determine outputs for a given set of inputs without using conventional, mathematical models. FLC follows the general strategy of control wor... ... with sup-t composition nor adjoint equation. Therefore, simple control is not “mathematically correct”. However, solutions of fuzzy relational equa... ...terminacy, and falsity may overlap, and n_sup = 30+51+28 > 100 in this case. Physics Examples a) For example the Schrodinger’s Theory says that ... ...one defines the neutrosophic set. One gives 227 examples from mathematics, physics, philosophy, and applications of the neutrosophic set. After... ...of the fluid under study their by changing the flow rates while analyzing as a mathematical model. So in the study of flow rates in chemical plants...

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...Migration acquires great significance in the study of peoples and populations, for it not only involves the merely mathematical spatial redistribution of people, but also because it has enormous impact on livelihood, life-styles, employment, socioeconomic and political stability; or in other words, it influences the entire society. When u...

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...c logic grew as an alternative to the existing topics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, unde... ...oor uneducated labourers from rural Tamil Nadu. This book is an extended mathematical analysis of the book Love.Life.Lust.Loss: 101 Real Life Stori... ...the study of peoples and populations, for it not only involves the merely mathematical spatial redistribution of people, but also because it has eno... ...f the literature on the said topic. We like to point out that most of the mathematical research into migration has dealt with it on purely statistic... ...tions simple and easy. 14 It is important to mention that the relevant mathematical notions used in each of these chapters are described in the ... ...ich we will be defining as neutrosophic graphs. The world of theoretical physics discovered graph theory for its own purposes. In the study of stat... ...o, B., “Differential Hebbian Learning,” Proceedings American Institute of Physics: Neural Networks for Computing, 277-282 (1986). 56. Kosko, B., “F...

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...c logic grew as an alternative to the existing logics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undef... ...eural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Bart Kosko, the guru... ...ct us almost as much as the determined factors. It is a major handicap in mathematical modeling that we are only able to give weightages for known c... ...ng issues are naturally solved, since Time is explicitly expressed in the mathematical equations used to describe the relations between concepts. Ho... ...Only the modifier is used. However, its meaning can be represented in the mathematical expression as (Q i ∪ ~ Q i ) ∩ M i which contains the qua... ...h we will be defining as neutrosophic graphs. The world of theoretical physics discovered graph theory for its own purposes. In the study of stat...

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...neral manifolds, we know that Riemann surfaces have become a source of the mathematical creative power. Many good ideas for the manifolds with higher ... ..., in fact, any solution for one of these problems needs to establish a new mathematical system first. But as soon as the system has been established, t... ...ann geometry, Smarandache ge- ometries, ··· and the mechanics, theoretical physics, ···. For doing this, the most possible way is, perhaps by the comb... ...K.Polthier and M.Schmies, Straightest geodesics on polyhedral surfaces, in Mathematical Visualization(ed. byH.C.HegeandK.Polthier),Springer-Verlag, Be...

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...ng to Froebel, the actuating force is the presentation of symbols, largely mathematical, corresponding to the essential traits of the Absolute. When t... ...to Froebel, the mystic symbolic value of certain objects and acts (largely mathematical) stand for the Absolute Whole which is in process of unfolding... ... has been led to foresee (infer) a future eclipse. No matter how great the mathematical probability, the inference is hypothetical—a matter of probabi... ...ther in arithmetic or learning to read, or studying geography, or learning physics or a foreign lan- guage, will reveal that they depend for their eff... ... reading, writing, mathemat- ics, history, nature study, drawing, singing, physics, chem- istry, modern and foreign languages, and so on? Let us recur... ...In practice, overemphasis upon formed material leads to an exaggeration of mathematical qualities, since intellect finds its profit in physical things... ...measurement with a view to acquiring knowledge of the fundamental units of physics, irrespective of contact with the problems which make these units i... ...f the race the sciences grew gradually out from useful social occupations. Physics developed slowly out of the use of tools and machines; the importan... ...ases, of geographical study which tend to become specialized and separate. Mathematical or astronomical, physiographic, topographic, political, commer...

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...In The 2nd Conference on Combinatorics and Graph Theory of China (Aug. 16-19, 2006, Tianjing), I formally presented a combinatorial conjecture on mathematical sciences (abbreviated to CC Conjecture), i.e., a mathematical science can be reconstructed from or made by combinatorialization, implicated in the foreword of Chapter 5 of my book Automorphism groups of Maps, Sur...

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...mbinatorial principle . . . . . . . . . . . . . . . . . . . . . . 37 1.6.1 Proposition in lgic. . . . . . . . . . . . . . . . . . . . . . .37 1.6.2 Mathematical system. . . . . . . . . . . . . . . . . . . .39 1.6.3 Combinatorial system . . . . . . . . . . . . . . . . . . . 41 1.7 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Chapter 2. Algebra...