Smarandache Multi Space Theory

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Smarandache Multi-Space Theory

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1931233144
Total Pages : 275 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Multi-Space Theory by : Linfan Mao

Download or read book Smarandache Multi-Space Theory written by Linfan Mao and published by Infinite Study. This book was released on 2006-01-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Smarandache multi-space is a union of n various spaces equipped with different structures for an integer n ¡Ý 2, which can be both used for discrete or connected spaces, particularly for geometries and space-times in theoretical physics. This monograph concentrates on characterizing various multi-spaces and includes three parts. The first part is on algebraic multi-spaces, with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems and multi-manifolds, also multi-voltage graphs, multi-embedding of a graph in an n-manifold, etc. The second discusses Smarandache geometries, including those of map geometries, planar map geometries, and pseudo-plane geometries, in which the Finsler geometry, particularly the Riemann geometry appears as a special case of the Smarandache geometries. The third part of this book considers applications of multi-spaces to theoretical physics, including relativity theory, M-theory, and cosmology. Multi-space models for p-branes and cosmos are constructed and some questions in cosmology are clarified by multi-spaces. The first two parts are relatively independent for reading and in each part open problems are included for further research of interested readers.

Graduate Textbook of Mathematics: Smarandache Multi-Space Theory (second edition)

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599731657
Total Pages : 377 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Graduate Textbook of Mathematics: Smarandache Multi-Space Theory (second edition) by : Linfan Mao

Download or read book Graduate Textbook of Mathematics: Smarandache Multi-Space Theory (second edition) written by Linfan Mao and published by Infinite Study. This book was released on 2011-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Smarandache multi-space is a union of n different spaces equippedwith different structures for an integer n 2, which can be used for systems both innature or human beings. This textbook introduces Smarandache multi-spaces such asthose of algebraic multi-spaces, including graph multi-spaces, multi-groups, multi-rings,multi-fields, vector multi-spaces, geometrical multi-spaces, particularly map geometrywith or without boundary, pseudo-Euclidean geometry on Rn, combinatorial Euclideanspaces, combinatorial manifolds, topological groups and topological multi-groups, combinatorialmetric spaces, ¿ ¿ ¿, etc. and applications of Smarandache multi-spaces, particularlyto physics, economy and epidemiology. In fact, Smarandache multi-spacesunderlying graphs are an important systematically notion for scientific research in 21stcentury. This book can be applicable for graduate students in combinatorics, topologicalgraphs, Smarandache geometry, physics and macro-economy as a textbook.

Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 9526734920
Total Pages : 802 pages
Book Rating : 4.5/5 (267 download)

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Book Synopsis Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science) by : Florentin Smarandache

Download or read book Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science) written by Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an eclectic tome of 100 papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory,information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics ¿ containing 800 pages.It was my preoccupation and collaboration as author, co-author, translator, or co-translator, and editor with many scientists from around the world for long time. Many ideas from this book are to be developed and expanded in future explorations.

International Journal of Mathematical Combinatorics, Volume 1, 2017

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2017 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics.

Mathematical Combinatorics, Vol. 3/2014

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599733080
Total Pages : 118 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 3/2014 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 3/2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Mathematics on Non-Mathematics: A Combinatorial Contribution, Fuzzy Cosets and Normal Subgroups and Smarandache Fuzzy Algebra, Smarandache radio mean number, Smarandache friendly index number, Non-Hamiltonian Cubic Planar 3-Connected Graphs, Smarandachely odd sequential labeling, Smarandachely near m-labeling, Smarandachely near m-mean graph, Smarandachely k-dominator coloring, semi-entire equitable dominating graph, etc.

International Journal of Mathematical Combinatorics, Volume 1, 2008

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2008 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2008 written by Linfan Mao and published by Infinite Study. This book was released on with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: International J. Mathematical Combinatorics is a fully refereed international journal which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

International Journal of Mathematical Combinatorics, Volume 1, 2013

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2013 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2013 written by Linfan Mao and published by Infinite Study. This book was released on with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

MATHEMATICAL COMBINATORICS, Vol. 2 / 2018

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 159973575X
Total Pages : 141 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS, Vol. 2 / 2018 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS, Vol. 2 / 2018 written by Linfan Mao and published by Infinite Study. This book was released on 2018 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.

Mathematical Combinatorics, Vol. 3/2009

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 159973110X
Total Pages : 123 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, Vol. 3/2009 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 3/2009 written by Linfan Mao and published by Infinite Study. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Open Distance-Pattern Uniform Graphs, Some Results on Super Mean Graphs, Achromatic Coloring on Double Star Graph Families, Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces, Smarandachely k-Constrained Number of Paths and Cycles, A Spacetime Geodesics of the Schwarzschild Space and Its Deformation Retract, and other topics. Contributors: Linfan Mao, A. Anitha, S. Arumugam, E. Sampathkumar, Vernold Vivin J., Venkatachalam M., Akbar Ali M.M., Sayed Elagan, Mohamad Rafi Segi Rahmat, Khalil Paryab, Ebrahim Zare, and others.

Mathematical Combinatorics, vol. I, 2015

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 : 1599733374
Total Pages : 144 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, vol. I, 2015 by : Linfan Mao

Download or read book Mathematical Combinatorics, vol. I, 2015 written by Linfan Mao and published by Infinite Study. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Antidegree Equitable Sets in a Graph, One Modulo N Gracefulness of Some Arbitrary Supersubdivision and Removal Graphs, A New Approach to Natural Lift Curves of the Spherical Indicatrices of Timelike Bertrand Mate, On Signed Graphs Whose Two Path Signed Graphs are Switching Equivalent to Their Jump Signed Graphs, and other topics. Contributors: C. Adiga, K.N.S. Krishna, Mathew Varkey T.K, Sunoj B.S, V. Ramachandran, C. Sekar, W. Barbara, P. Sugirtha, R. Vasuki, J. Venkateswari, Yizhi Chen, Siyan Li, Wei Chen, and others.

International Journal of Mathematical Combinatorics, Volume 2, 2008

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 2, 2008 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 2, 2008 written by Linfan Mao and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: International J. Mathematical Combinatorics is a fully refereed international journal which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

International Journal of Mathematical Combinatorics, Volume 3, 2014

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis International Journal of Mathematical Combinatorics, Volume 3, 2014 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 3, 2014 written by Linfan Mao and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences..

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016

Author : Linfan MAO
Publisher : Infinite Study
ISBN 13 : 1599734958
Total Pages : 169 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016 by : Linfan MAO

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2016 written by Linfan MAO and published by Infinite Study. This book was released on with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space By Mahmut Mak and Hasan Altınba¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Conformal Ricci Soliton in Almost C() Manifold By Tamalika Dutta, Arindam Bhattacharyya and Srabani Debnath . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Labeled Graph – A Mathematical Element By Linfan MAO . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Tchebychev and Brahmagupta Polynomials and Golden Ratio –Two New Interconnections By Shashikala P. and R. Rangarajan . . . . . . . . . . . . . . . . . . . . . 57 On the Quaternionic Normal Curves in the Semi-Euclidean Space E4 2 By ¨Onder G¨okmen Yildiz and Siddika ¨Ozkaldi Karaku¸s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 Global Equitable Domination Number of Some Wheel Related Graphs By S.K.Vaidya and R.M.Pandit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 The Pebbling Number of Jahangir Graph J2,m By A.Lourdusamy and T.Mathivanan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 On 4-Total Product Cordiality of Some Corona Graphs By M.Sivakumar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 On m-Neighbourly Irregular Instuitionistic Fuzzy Graphs By N.R.Santhi Maheswari and C.Sekar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Star Edge Coloring of Corona Product of Path with Some Graphs By Kaliraj K., Sivakami R. and Vernold Vivin J. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Balance Index Set of Caterpillar and Lobster Graphs By Pradeep G.Bhat and Devadas Nayak C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .123 Lagrange Space and Generalized Lagrange Space Arising From Metric By M.N.Tripathi and O.P.Pandey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 A Study on Hamiltonian Property of Cayley Graphs Over Non-Abelian Groups By A.Riyas and K.Geetha . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Mean Cordial Labelling of Some Star-Related Graphs By Ujwala Deshmukh and Vahida Y. Shaikh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 Some New Families of Odd Graceful Graphs By Mathew Varkey T.K and Sunoj. B.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

International Journal of Mathematical Combinatorics, Volume 4, 2016

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 179 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 4, 2016 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 4, 2016 written by Linfan Mao and published by Infinite Study. This book was released on with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. 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, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

International Journal of Mathematical Combinatorics, Volume 1, 2016

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2016 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2016 written by Linfan Mao and published by Infinite Study. This book was released on with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. 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, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

International Journal of Mathematical Combinatorics, Volume 3, 2010

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 3, 2010 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 3, 2010 written by Linfan Mao and published by Infinite Study. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS, VOLUME 3, 2017

Author : Linfan Mao
Publisher : Infinite Study, Phoenix, United States
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4./5 ( download)

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Book Synopsis INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS, VOLUME 3, 2017 by : Linfan Mao

Download or read book INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS, VOLUME 3, 2017 written by Linfan Mao and published by Infinite Study, Phoenix, United States. This book was released on with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this issue, there are 12 papers following: Paper 1: Smarandache Curves of Curves lying on Lightlike Cone. Paper 2: Intuitionistic fuzzy graph. Paper 3: Smarandachely dominating. Paper 4: Cohen-Macaulay of Ideal. Paper 5: Conformal (k, μ)-Contact Manifold. Paper 6: First and second Zagreb indices. Paper 7: Number of spanning trees. Paper 8: Smarandachely strong dominating set. Paper 9: Smarandachely equitable dominating set. Paper 10: Smarandachely cordial labeling, Smarandachely cordial graph. Paper 11: Smarandachely equitable dominating set. Paper 12: Smarandachely cordial labeling.