Download or read book Dual Smarandache Curves and Smarandache Ruled Surfaces written by Tanju KAHRAMAN and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.
Download or read book Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere written by Tanju Kahraman 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 give Darboux approximation for dual Smarandache curves of timelike curve on unit dual Lorentzian sphere.
Download or read book Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere written by Tanju Kahraman 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 give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Download or read book The Smarandache Curves on 2 1 and Its Duality on 2o written by Atakan Tugkan Yakut and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce special Smarandache curves based on Sabban frame on đ2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Download or read book ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 written by MIHRIBAN KULAHCI 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 paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
Download or read book International Journal of Mathematical Combinatorics Volume 3 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.
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.
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.
Download or read book On Ruled Surfaces Defined by Smarandache Curve written by Amine Yılmaz and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the surfaces theory, it is well-known that a surface is called to be a ruled surface if it is generated by a continuously moving of a straight line in the space. Since a ruled surface is obtained by a line movement, its geometry has many nice properties and such surfaces have been studied by many authors, see: [4, 5, 6] and references therein. Ruled surfaces are also important subject in many applications. In particular, such surfaces have been used in computer aided engineering design (CAD) [7].
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.
Download or read book Predictive Policing written by Walt L. Perry and published by Rand Corporation. This book was released on 2013-09-23 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Predictive policing is the use of analytical techniques to identify targets for police intervention with the goal of preventing crime, solving past crimes, or identifying potential offenders and victims. These tools are not a substitute for integrated approaches to policing, nor are they a crystal ball. This guide assesses some of the most promising technical tools and tactical approaches for acting on predictions in an effective way.
Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field
Download or read book Muslims of Medieval Latin Christendom c 1050 1614 written by Brian A. Catlos and published by Cambridge University Press. This book was released on 2014-03-20 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative study which explores how the presence of Muslim communities transformed Europe and stimulated Christian society to define itself.
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.
Download or read book New Foundation in the Sciences written by V. Christianto, F. Smarandache, R.N. Boyd and published by Infinite Study. This book was released on with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely known among the Frontiers of physics, that âsweeping under the rugâ practice has been quite the norm rather than exception. In other words, the leading paradigms have strong tendency to be hailed as the only game in town.
Download or read book Civil Engineering and Symmetry written by Edmundas Kazimieras Zavadskas and published by MDPI. This book was released on 2019-06-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A topic of utmost importance in civil engineering is finding optimal solutions throughout the life cycle of buildings and infrastructural objects, including their design, manufacturing, use, and maintenance. Operational research, management science, and optimization methods provide a consistent and applicable groundwork for engineering decision-making. These topics have received the interest of researchers and, after a rigorous peer-review process, eight papers have been published in this Special Issue. The articles in this Printed Edition demonstrate how solutions in civil engineering, which bring economic, social, and environmental benefits, are obtained through a variety of methodologies and tools. Usually, decision-makers need to take into account not just a single criterion, but several different criteria and, therefore, multi-criteria decision-making (MCDM) approaches have been suggested for application in five of the published papers; the rest of the papers apply other research methods. Most approaches suggested decision models under uncertainty, proposing hybrid MCDM methods in combination with fuzzy or rough set theory, as well as D-numbers. The application areas of the proposed MCDM techniques mainly cover production/manufacturing engineering, logistics and transportation, and construction engineering and management. We hope that a summary of the Special Issue as provided here will encourage a detailed analysis of the papers included in the Printed Edition.
Download or read book Quantization in Astrophysics Brownian Motion and Supersymmetry written by Florentin Smarandache and published by Infinite Study. This book was released on 2007 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
