Tag: Symmetry

Free Download Xuezhuang Zhao, "Molecular Symmetry and Fuzzy Symmetry "
English | ISBN: 161668528X | 2011 | 138 pages | PDF | 8 MB
Since ancient times, human beings have connected beauty with symmetry. As well known, most molecules will become less symmetrical as substitutions take place. In this book, the authors turn to a consideration of how to describe the effect of this kind of imperfect symmetry on molecular properties.

Free Download Optimal Analysis of Structures by Concepts of Symmetry and Regularity By Ali Kaveh (auth.)
2013 | 463 Pages | ISBN: 3709115647 | PDF | 13 MB
Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.

Free Download Nonlinear Mechanics, Groups and Symmetry By Yu. A. Mitropolsky, A. K. Lopatin (auth.)
1995 | 382 Pages | ISBN: 9048145171 | PDF | 15 MB
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré–Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.

Free Download Unified Symmetry: In the Small and in the Large By Behram N. Kursunoglu (auth.), Behram N. Kursunoglu, Stephen Mintz, Arnold Perlmutter (eds.)
1995 | 255 Pages | ISBN: 1461357535 | PDF | 8 MB
The twenty-second Coral Gables conference "UNIFIED SYMMETRY: In the Small and In the Large" continued with the efforts to unify the small and the large. The information gathered with the Huble telescope has in part, in the absence of the SCC , provided a basis for the physicists to unify cosmology and elementary particle physics. The congressional cancellation of the biggest experimental project on the frontiers of physics should not be regarded as an insurmountable obstacle to progress in theoretical physics. The physicists’ rise to prominence was mostly reached through their creation of the nuclear era. The post cold war era has somewhat reduced the political, military, and, in part, the social role of the physicist. Some in the administration and the Congress would like physicists to focus on the directly utilitarian aspects of science. Thus, some people do not realize that this regimentation of science would inhibit the creativity. The contributions of solid state physics research to the advancement of technology is the result of physics freely pursued independently of its applications. Modern Physics beginning with Newton’s theory of gravity has enabled us to create the space age, to contribute to various technologies, and to impact on our technological modus vivendi.

Free Download Bas C. van Fraassen, "Laws and Symmetry"
English | 1990 | pages: 412 | ISBN: 0198248601, 0198248113 | PDF | 2,6 mb
Metaphysicians speak of laws of nature in terms of necessity and universality; scientists, in terms of symmetry and invariance. In this book van Fraassen argues that no metaphysical account of laws can succeed. He analyzes and rejects the arguments that there are laws of nature, or that we must believe there are, and argues that we should disregard the idea of law as an adequate clue to science. After exploring what this means for general epistemology, the author develops the empiricist view of science as a construction of models to represent the phenomena.

Free Download Phyllotaxis and Symmetry in Angiosperms
English | 2024 | ISBN: 1786309890 | 236 Pages | PDF, EPUB (True) | 125 MB
In this book, we state general physical principles, whereby the symmetry of the perianth is derived from the symmetry of certain TCP gene expression. Thus, we define the interplay between the expression of CYC2-like genes and the phyllotactic mechanisms.

Free Download Symmetry Measures on Complex Networks by Angel Garrido
English | PDF | 2017 | 510 Pages | ISBN : 3038424986 | 123.78 MB
Symmetry is found everywhere, to a greater or lesser degree. It is essential in all sciences and also as the basic substrate in all arts. The same happens with Complex Networks, which are the majority of all those that interest for advanced knowledge, that is, for research. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple in the world today.

Free Download Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems by Jerrold E. Marsden , Tudor S. Ratiu
English | PDF | 1999 | 592 Pages | ISBN : 038798643X | 46.7 MB
Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.

Free Download Time-Symmetry Breaking in Turbulent Multi-Particle Dispersion by Jennifer Jucha
English | PDF (True) | 2015 | 121 Pages | ISBN : 3319191918 | 9.8 MB

Free Download Transformation Geometry: An Introduction to Symmetry by George E. Martin
English | PDF | 1982 | 251 Pages | ISBN : 0387906363 | 29.7 MB
Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the content. Our subject is Euclidean geometry. Essential to the study of the plane or any mathematical system is an under standing of the transformations on that system that preserve designated features of the system. Our study of the automorphisms of the plane and of space is based on only the most elementary high-school geometry. In particular, group theory is not a prerequisite here. On the contrary, this modern approach to Euclidean geometry gives the concrete examples that are necessary to appreciate an introduction to group theory. Therefore, a course based on this text is an excellent prerequisite to the standard course in abstract algebra taken by every undergraduate mathematics major. An advantage of having nb college mathematics prerequisite to our study is that the text is then useful for graduate mathematics courses designed for secondary teachers. Many of the students in these classes either have never taken linear algebra or else have taken it too long ago to recall even the basic ideas. It turns out that very little is lost here by not assuming linear algebra. A preliminary version of the text was written for and used in two courses-one was a graduate course for teachers and the other a sophomore course designed for the prospective teacher and the general mathematics major taking one course in geometry.