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Smarandache Curves According To The Extended Darboux Frame In Euclidean 4 Space
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Book Synopsis Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space by : Bahar UYAR DÜLDÜL
Download or read book Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space written by Bahar UYAR DÜLDÜL 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, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.
Book Synopsis COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE by : M. KHALIFA SAAD
Download or read book COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE written by M. KHALIFA SAAD and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.
Book Synopsis On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space by : H. S. Abdel-Aziz
Download or read book On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space written by H. S. Abdel-Aziz and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves called Smarandache curves in Lorentz 3-space.
Book Synopsis Computation of Smarandache curves according to Darboux frame in Minkowski 3-space by : H.S. Abdel-Aziz
Download or read book Computation of Smarandache curves according to Darboux frame in Minkowski 3-space written by H.S. Abdel-Aziz and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space. Using the usual transformation between Frenet and Darboux frames, we investi- gate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES) by : Linfan MAO
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES) written by Linfan MAO and published by Infinite Study. This book was released on 2013 with total page 135 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, motivated by CC Conjecture of Dr.Linfan MAO on mathematical sciences. TheMathematical Combinatorics (International Book Series) is a fully refereed international book series with an ISBN number on each issue, 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, Smarandachemulti-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
Book Synopsis Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space by : Tevfik Sahin
Download or read book Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space written by Tevfik Sahin and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surface in the three-dimensional Galilean space G3.
Book Synopsis Advances in Computer Science for Engineering and Education III by : Zhengbing Hu
Download or read book Advances in Computer Science for Engineering and Education III written by Zhengbing Hu and published by Springer Nature. This book was released on 2020-08-05 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises high-quality refereed research papers presented at the Third International Conference on Computer Science, Engineering and Education Applications (ICCSEEA2020), held in Kyiv, Ukraine, on 21–22 January 2020, organized jointly by National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, National Aviation University, and the International Research Association of Modern Education and Computer Science. The topics discussed in the book include state-of-the-art papers in computer science, artificial intelligence, engineering techniques, genetic coding systems, deep learning with its medical applications, and knowledge representation with its applications in education. It is an excellent source of references for researchers, graduate students, engineers, management practitioners, and undergraduate students interested in computer science and their applications in engineering and education.
Book Synopsis Differential Geometry of Three Dimensions by : C. E. Weatherburn
Download or read book Differential Geometry of Three Dimensions written by C. E. Weatherburn and published by Cambridge University Press. This book was released on 1927 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1930, as the second of a two-part set, this textbook contains a vectorial treatment of geometry.
Book Synopsis Smarandache curves in Euclidean 4- space E 4 by : Mervat Elzawy
Download or read book Smarandache curves in Euclidean 4- space E 4 written by Mervat Elzawy and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.
Book Synopsis Differential Geometry by : Wolfgang Kühnel
Download or read book Differential Geometry written by Wolfgang Kühnel and published by American Mathematical Soc.. This book was released on 2006 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces. The second half of the book, which could be used for a more advanced course, begins with an introduction to differentiable manifolds, Riemannian structures, and the curvature tensor. Two special topics are treated in detail: spaces of constant curvature and Einstein spaces. The main goal of the book is to get started in a fairly elementary way, then to guide the reader toward more sophisticated concepts and more advanced topics. There are many examples and exercises to help along the way. Numerous figures help the reader visualize key concepts and examples, especially in lower dimensions. For the second edition, a number of errors were corrected and some text and a number of figures have been added.
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 SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE by : MUHAMMED CETIN
Download or read book SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE written by MUHAMMED CETIN and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
Book Synopsis Lectures on Classical Differential Geometry by : Dirk J. Struik
Download or read book Lectures on Classical Differential Geometry written by Dirk J. Struik and published by Courier Corporation. This book was released on 2012-04-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Book Synopsis An Introduction to the Theory of Functional Equations and Inequalities by : Marek Kuczma
Download or read book An Introduction to the Theory of Functional Equations and Inequalities written by Marek Kuczma and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
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 Theoretical Kinematics by : O. Bottema
Download or read book Theoretical Kinematics written by O. Bottema and published by Courier Corporation. This book was released on 1990-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods.
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.
