Alpha Knots PDF Download
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Author | : A. Stasiak |
Publisher | : World Scientific |
Total Pages | : 426 |
Release | : 1998 |
Genre | : Crafts & Hobbies |
ISBN | : 981279607X |
Download Ideal Knots Book in PDF, ePub and Kindle
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
Author | : Milana Jacks |
Publisher | : |
Total Pages | : |
Release | : 2019-02-22 |
Genre | : |
ISBN | : 9780997136562 |
Download Alpha Knots Book in PDF, ePub and Kindle
Author | : Gerhard Burde |
Publisher | : Walter de Gruyter |
Total Pages | : 432 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 3110270781 |
Download Knots Book in PDF, ePub and Kindle
This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known.
Author | : Vasilii Olegovich Manturov |
Publisher | : World Scientific |
Total Pages | : 553 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814401137 |
Download Virtual Knots Book in PDF, ePub and Kindle
The book is the first systematic research completely devoted to a comprehensive study of virtual knots and classical knots as its integral part. The book is self-contained and contains up-to-date exposition of the key aspects of virtual (and classical) knot theory.Virtual knots were discovered by Louis Kauffman in 1996. When virtual knot theory arose, it became clear that classical knot theory was a small integral part of a larger theory, and studying properties of virtual knots helped one understand better some aspects of classical knot theory and encouraged the study of further problems. Virtual knot theory finds its applications in classical knot theory. Virtual knot theory occupies an intermediate position between the theory of knots in arbitrary three-manifold and classical knot theory.In this book we present the latest achievements in virtual knot theory including Khovanov homology theory and parity theory due to V O Manturov and graph-link theory due to both authors. By means of parity, one can construct functorial mappings from knots to knots, filtrations on the space of knots, refine many invariants and prove minimality of many series of knot diagrams.Graph-links can be treated as OC diagramless knot theoryOCO: such OC linksOCO have crossings, but they do not have arcs connecting these crossings. It turns out, however, that to graph-links one can extend many methods of classical and virtual knot theories, in particular, the Khovanov homology and the parity theory.
Author | : Charles R. Chalk |
Publisher | : |
Total Pages | : 174 |
Release | : 1963 |
Genre | : Airplanes |
ISBN | : |
Download Fixed-base Simulator Investigation of the Effects of L [alpha] and True Speed on Pilot Opinion of Longitudinal Flying Qualities Book in PDF, ePub and Kindle
The study is directed toward investigating the effects on pilots rating of large variations (L alpha) in the relative amplitude and phase of the basic airplane responses to elevator control. The effects of L alpha and true speed on longitudinal flying qualities, optimum control gain, and normal acceleration response to turbulence were investigated in a ground simulator. The steady state ratio of normal acceleration to angle of attack was found to be of significance both to the flying qualities of an airplane and to the optimum longitudinal control gain. Normal acceleration response to rough air was demonstrated to be primarily a function of L alpha and the short period frequency and damping ratio.
Author | : Akio Kawauchi |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 652 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 3110875918 |
Download Knots 90 Book in PDF, ePub and Kindle
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author | : Louis H. Kauffman |
Publisher | : World Scientific |
Total Pages | : 865 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9814383007 |
Download Knots and Physics Book in PDF, ePub and Kindle
An introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics.
Author | : Louis H Kauffman |
Publisher | : World Scientific |
Total Pages | : 739 |
Release | : 1994-01-15 |
Genre | : Mathematics |
ISBN | : 9814502375 |
Download Knots And Physics (Second Edition) Book in PDF, ePub and Kindle
In this second edition, the following recent papers have been added: “Gauss Codes, Quantum Groups and Ribbon Hopf Algebras”, “Spin Networks, Topology and Discrete Physics”, “Link Polynomials and a Graphical Calculus” and “Knots Tangles and Electrical Networks”. An appendix with a discussion on invariants of embedded graphs and Vassiliev invariants has also been included.This book is an introduction to knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of knot theory, coupled with a quantum statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related to and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics and knots in dynamical systems.
Author | : Louis H. Kauffman |
Publisher | : Princeton University Press |
Total Pages | : 500 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 9780691084350 |
Download On Knots Book in PDF, ePub and Kindle
On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.
Author | : Markus Banagl |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2010-11-25 |
Genre | : Mathematics |
ISBN | : 3642156371 |
Download The Mathematics of Knots Book in PDF, ePub and Kindle
The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.