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Smarandache Curves In Terms Of Sabban Frame Of Spherical Indicatrix Curves
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Book Synopsis Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves by : Suleyman Senyurt
Download or read book Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2016 by : Linfan Mao
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 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: In this issue, there are 17 papers published: Paper 1: Bertrand curves pair, Smarandache curves Paper 2: Dual Lorentzian space, dual curve, dual curves of constant breadth, Bishop frame. Paper 3: (r,m, k)-regular fuzzy graph. Paper 4: edge-antimagic labeling. Paper 5: Ruled surfaces, curve, geodesic. Paper 6: Quarter-symmetric metric connection. Paper 7: Smarandachely k-signed graph. Paper 8: Common fixed point, rational expression. Paper 9: Smarandachely binding number. Paper 10: Wiener index, quasi-total graph. Paper 11: Transformation graph. Paper 12: Probabilistic bounds on weak and strong total domination in graphs. Paper 13; Smarandachely quotient cordial labeling. Paper 14: Nonholonomic Frames for Finsler Space. Paper 15: b-chromatic number of graphs. Paper 16: Strong defining numbers in graph. Paper 17: A Report on the Promoter Dr. Linfan Mao of Mathematical Combinatorics by your name.
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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2015 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 1, 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: 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.
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.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017 by : Linfan Mao
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 2, 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper 1: Differential curves, Bertrand curves pair, ruled surfaces. Paper 2: (my paper) Banach space, Smarandache multispace, complex system, non-solvable equation, mathematical combinatorics. Paper 3: Zagreb index, molecular topological index, bipartite graph. Paper 4: D-conformal curvature tensor, η-Einstein manifold. Paper 5: Hypergraph, Smarandachely linear. Paper 6: Ruled surface, parallel surface. Paper 7: Smarandachely H-rainbow connected, rainbow connected, rainbow connection number. Paper 8: Darboux vector, Smarandache curves. Paper 9: Smarandache power root mean labeling, F-root square mean labeling. Paper 10: Smarandachely k-prime labelling, k-prime labelling. Paper 11: graceful labeling, α-labeling. Paper 12: supereulerian digraph, semicomplete digraph, locally semicomplete multipartite digraph. Paper 13: Smarandachely edge m-labeling, skolem mean labeling. Keywords: Smarandache multispace, Smarandachely linear, Smarandachely H-rainbow connected, Smarandache power root mean labeling, Smarandachely k-prime labelling, Smarandachely edge m-labeling
Book Synopsis Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair by : Suleyman Senyurt
Download or read book Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.
Book Synopsis ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES by : Süleyman ŞENYURT
Download or read book ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES written by Süleyman ŞENYURT and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We created Sabban frame belonging to spherical indicatrix of involute curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to spherical indicatrix. Then, we calculated geodesic curvatures of this Smarandache curves. The results found for each curve was given depend on evolute curve. The example related to the subject were given and their figures were drawn with Mapple program.
Book Synopsis SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR by : Süleyman Şenyurt
Download or read book SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR written by Süleyman Şenyurt and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves with regard to Sabban frame for Mannheim partner curve spherical indicatrix. We created Sabban frame belonging to this curves. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curves. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.
Book Synopsis Smarandache curves According to Sabban Frame for Darboux vector of Mannheim Partner Curve by : Suleyman Senyurt
Download or read book Smarandache curves According to Sabban Frame for Darboux vector of Mannheim Partner Curve written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.
Book Synopsis Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve by : Süleyman Şenyurt
Download or read book Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve written by Süleyman Şenyurt and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the special Smarandache curve in terms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Book Synopsis Smarandache Geometries & Map Theories with Applications (I) [English and Chinese] by : Linfan Mao
Download or read book Smarandache Geometries & Map Theories with Applications (I) [English and Chinese] written by Linfan Mao and published by Infinite Study. This book was released on 2007 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 800x600 Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} Smarandache Geometries as generalizations of Finsler, Riemannian, Weyl, and Kahler Geometries. A Smarandache geometry (SG) is a geometry which has at least one smarandachely denied axiom (1969). An axiom is said smarandachely denied (S-denied) if in the same space the axiom behaves differently (i.e., validated and invalided; or only invalidated but in at least two distinct ways). Thus, as a particular case, Euclidean, Lobachevsky-Bolyai-Gauss, and Riemannian geometries may be united altogether, in the same space, by some SGs. These last geometries can be partially Euclidean and partially non-Euclidean. The novelty of the SG is the fact that they introduce for the first time the degree of negation in geometry, similarly to the degree of falsehood in fuzzy or neutrosophic logic. For example an axiom can be denied in percentage of 30 Also SG are defined on multispaces, i.e. unions of Euclidean and non-Euclidean subspaces, or unions of distinct non-Euclidean spaces. As an example of S-denying, a proposition , which is the conjunction of a set i of propositions, can be invalidated in many ways if it is minimally unsatisfiable, that is, such that the conjunction of any proper subset of the i is satisfied in a structure, but itself is not. Here it is an example of what it means for an axiom to be invalidated in multiple ways [2] : As a particular axiom let's take Euclid's Fifth Postulate. In Euclidean or parabolic geometry a line has one parallel only through a given point. In Lobacevskian or hyperbolic geometry a line has at least two parallels through a given point. In Riemannian or elliptic geometry a line has no parallel through a given point. Whereas in Smarandache geometries there are lines which have no parallels through a given point and other lines which have one or more parallels through a given point (the fifth postulate is invalidated in many ways). Therefore, the Euclid's Fifth Postulate (which asserts that there is only one parallel passing through an exterior point to a given line) can be invalidated in many ways, i.e. Smarandachely denied, as follows: - first invalidation: there is no parallel passing through an exterior point to a given line; - second invalidation: there is a finite number of parallels passing through an exterior point to a given line; - third invalidation: there are infinitely many parallels passing through an exterior point to a given line.
Book Synopsis Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space by : H.S.Abdel-Aziz
Download or read book Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space written by H.S.Abdel-Aziz and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, Smarandache curves for some special curves in the threedimensional Galilean space G3are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced. Furthermore, some properties for these curves are given. Finally, in the light of this study, some related examples of these curves are provided.
Book Synopsis Introduction to Algorithms for Data Mining and Machine Learning by : Xin-She Yang
Download or read book Introduction to Algorithms for Data Mining and Machine Learning written by Xin-She Yang and published by Academic Press. This book was released on 2019-06-17 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Algorithms for Data Mining and Machine Learning introduces the essential ideas behind all key algorithms and techniques for data mining and machine learning, along with optimization techniques. Its strong formal mathematical approach, well selected examples, and practical software recommendations help readers develop confidence in their data modeling skills so they can process and interpret data for classification, clustering, curve-fitting and predictions. Masterfully balancing theory and practice, it is especially useful for those who need relevant, well explained, but not rigorous (proofs based) background theory and clear guidelines for working with big data. Presents an informal, theorem-free approach with concise, compact coverage of all fundamental topics Includes worked examples that help users increase confidence in their understanding of key algorithms, thus encouraging self-study Provides algorithms and techniques that can be implemented in any programming language, with each chapter including notes about relevant software packages
Book Synopsis Noether's Theorems by : Gennadi Sardanashvily
Download or read book Noether's Theorems written by Gennadi Sardanashvily and published by Springer. This book was released on 2016-03-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.
Book Synopsis Spherical Images of Special Smarandache Curves in E3 by : Vahide Bulut
Download or read book Spherical Images of Special Smarandache Curves in E3 written by Vahide Bulut and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.
Book Synopsis Differential Geometry Of Warped Product Manifolds And Submanifolds by : Bang-yen Chen
Download or read book Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and published by World Scientific. This book was released on 2017-05-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.
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