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Author : H. Susskind
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Random and Ordered Packing of Spheres written by H. Susskind and published by . This book was released on 1966 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Weaire
Publisher : CRC Press
ISBN 13 : 142003331X
Total Pages : 147 pages
Book Rating : 4.4/5 (2 download)
Download or read book The Pursuit of Perfect Packing written by Denis Weaire and published by CRC Press. This book was released on 2000-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1998 Thomas Hales dramatically announced the solution of a problem that has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? The Pursuit of Perfect Packing recounts the story of this problem and many others that have to do with packing things together. The examples are taken from mathematics, phy
Author : Yoshiaki Itoh
Publisher : World Scientific
ISBN 13 : 9814464783
Total Pages : 255 pages
Book Rating : 4.8/5 (144 download)
Download or read book Random Sequential Packing Of Cubes written by Yoshiaki Itoh and published by World Scientific. This book was released on 2011-01-26 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings./a
Author : J.H. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1475722494
Total Pages : 724 pages
Book Rating : 4.4/5 (757 download)
Download or read book Sphere Packings, Lattices and Groups written by J.H. Conway and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this timely, definitive, and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the first edition, the second edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, and dual theory and superstring theory in physics. Results as of 1992 have been added to the text, and the extensive bibliography - itself a contribution to the field - is supplemented with approximately 450 new entries.
Author : Thomas M. Thompson
Publisher :
ISBN 13 : 9780883850008
Total Pages : 252 pages
Book Rating : 4.8/5 (5 download)
Download or read book From Error-correcting Codes Through Sphere Packings to Simple Groups written by Thomas M. Thompson and published by . This book was released on 1983 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth Stephenson
Publisher : Cambridge University Press
ISBN 13 : 9780521823562
Total Pages : 380 pages
Book Rating : 4.8/5 (235 download)
Download or read book Introduction to Circle Packing written by Kenneth Stephenson and published by Cambridge University Press. This book was released on 2005-04-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Salvatore Torquato
Publisher : Springer Science & Business Media
ISBN 13 : 1475763557
Total Pages : 720 pages
Book Rating : 4.4/5 (757 download)
Download or read book Random Heterogeneous Materials written by Salvatore Torquato and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.
Author : Zbigniew H. Stachurski
Publisher : John Wiley & Sons
ISBN 13 : 3527337075
Total Pages : 274 pages
Book Rating : 4.5/5 (273 download)
Download or read book Fundamentals of Amorphous Solids written by Zbigniew H. Stachurski and published by John Wiley & Sons. This book was released on 2015-03-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long awaited, this textbook fills the gap for convincing concepts to describe amorphous solids. Adopting a unique approach, the author develops a framework that lays the foundations for a theory of amorphousness. He unravels the scientific mysteries surrounding the topic, replacing rather vague notions of amorphous materials as disordered crystalline solids with the well-founded concept of ideal amorphous solids. A classification of amorphous materials into inorganic glasses, organic glasses, glassy metallic alloys, and thin films sets the scene for the development of the model of ideal amorphous solids, based on topology- and statistics-governed rules of three-dimensional sphere packing, which leads to structures with no short, mid or long-range order. This general model is then concretized to the description of specific compounds in the four fundamental classes of amorphous solids, as well as amorphous polyethylene and poly(methyl)methacrylate, emphasizing its versatility and descriptive power. Finally, he includes example applications to indicate the abundance of amorphous materials in modern-day technology, thus illustrating the importance of a better understanding of their structure and properties. Equally ideal as supplementary reading in courses on crystallography, mineralogy, solid state physics, and materials science where amorphous materials have played only a minor role until now.
Author : Sangtae Kim
Publisher : Butterworth-Heinemann
ISBN 13 : 1483161242
Total Pages : 537 pages
Book Rating : 4.4/5 (831 download)
Download or read book Microhydrodynamics written by Sangtae Kim and published by Butterworth-Heinemann. This book was released on 2013-09-24 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microhydrodynamics: Principles and Selected Applications presents analytical and numerical methods for describing motion of small particles suspended in viscous fluids. The text first covers the fundamental principles of low-Reynolds-number flow, including the governing equations and fundamental theorems; the dynamics of a single particle in a flow field; and hydrodynamic interactions between suspended particles. Next, the book deals with the advances in the mathematical and computational aspects of viscous particulate flows that point to innovations for large-scale simulations on parallel computers. The book will be of great use to students in engineering and applied mathematics. Students and practitioners of chemistry will also benefit from this book.
Author : Jerzy Mackowiak
Publisher : Springer Science & Business Media
ISBN 13 : 3540887814
Total Pages : 368 pages
Book Rating : 4.5/5 (48 download)
Download or read book Fluid Dynamics of Packed Columns written by Jerzy Mackowiak and published by Springer Science & Business Media. This book was released on 2009-12-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The?rstGermanedition of thebook“Fluiddynamicsofpackedcolumns with modern random and structured packings for gas/liquid systems” was published in 1991. It sold out within a few years. Added to this were numerous enquiries, in particular within the industry, prompting me to publish a second, extended edition. A packed column remains the core element of any diffusional separation process. This underlines the need for basic design principles for packed columns, which enhance the design process by making it more accurate and reliable. The SBD (suspended bed of droplets) model introduced in the ?rst German edition of the book was well received by the experts and is now used by a large number of com- nies in the industry, as it offers improved reliability in the ?uid dynamic design of packed columns. For the purpose of facilitating the design process, the SBD model was in- grated into the simulation programme ChemCAD. The software programme FDPAK, which is available for Windows, has certainly contributed to the widespread use of the SBD model. The programme is very user-friendly and the calculation results are p- sented in tabular as well as graphic form, showing ?ood load, pressure drop and hold-up diagrams in the entire operating range.
Author : Asaf Nachmias
Publisher : Springer Nature
ISBN 13 : 3030279685
Total Pages : 126 pages
Book Rating : 4.0/5 (32 download)
Download or read book Planar Maps, Random Walks and Circle Packing written by Asaf Nachmias and published by Springer Nature. This book was released on 2019-10-04 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to present a self-contained proof that the uniform infinite planar triangulation (UIPT) is almost surely recurrent. Full proofs of all statements are provided. A planar map is a graph that can be drawn in the plane without crossing edges, together with a specification of the cyclic ordering of the edges incident to each vertex. One widely applicable method of drawing planar graphs is given by Koebe’s circle packing theorem (1936). Various geometric properties of these drawings, such as existence of accumulation points and bounds on the radii, encode important probabilistic information, such as the recurrence/transience of simple random walks and connectivity of the uniform spanning forest. This deep connection is especially fruitful to the study of random planar maps. The book is aimed at researchers and graduate students in mathematics and is suitable for a single-semester course; only a basic knowledge of graduate level probability theory is assumed.
Author : Zbigniew H. Stachurski
Publisher : John Wiley & Sons
ISBN 13 : 3527682198
Total Pages : 274 pages
Book Rating : 4.5/5 (276 download)
Download or read book Fundamentals of Amorphous Solids written by Zbigniew H. Stachurski and published by John Wiley & Sons. This book was released on 2015-01-30 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long awaited, this textbook fills the gap for convincing concepts to describe amorphous solids. Adopting a unique approach, the author develops a framework that lays the foundations for a theory of amorphousness. He unravels the scientific mysteries surrounding the topic, replacing rather vague notions of amorphous materials as disordered crystalline solids with the well-founded concept of ideal amorphous solids. A classification of amorphous materials into inorganic glasses, organic glasses, glassy metallic alloys, and thin films sets the scene for the development of the model of ideal amorphous solids, based on topology- and statistics-governed rules of three-dimensional sphere packing, which leads to structures with no short, mid or long-range order. This general model is then concretized to the description of specific compounds in the four fundamental classes of amorphous solids, as well as amorphous polyethylene and poly(methyl)methacrylate, emphasizing its versatility and descriptive power. Finally, he includes example applications to indicate the abundance of amorphous materials in modern-day technology, thus illustrating the importance of a better understanding of their structure and properties. Equally ideal as supplementary reading in courses on crystallography, mineralogy, solid state physics, and materials science where amorphous materials have played only a minor role until now.
Author : M.F. Thorpe
Publisher : Springer Science & Business Media
ISBN 13 : 9780792344049
Total Pages : 544 pages
Book Rating : 4.3/5 (44 download)
Download or read book Amorphous Insulators and Semiconductors written by M.F. Thorpe and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this NATO ASI has been to present an up-to-date overview of current areas of interest in amorphous materials. In order to limit the material to a manageable amount, the meeting was concerned exclusively with insulating and semiconducting materials. The lectures and seminars fill the gap between graduate courses and research seminars. The lecturers and seminar speakers were chosen as experts in their respective areas and the lectures and seminars that were given are presented in this volume. During the first week of the meeting. an emphasis was placed on introductory lectures, mainly associated with questions relating to the glass-formation and the structure of glasses. The second week focused more on research seminars. Each day of the meeting. about four posters were presented during the coffee breaks, and these formed an important focus for discussions. The posters are not reproduced in this volume as the editors wanted to have only larger contributions to make this volume more coherent. This volume is organized into four sections, starting with general considerations of the glass forming ability and techniques for the preparation of different kinds of glasses.
Author : Jens Winkelmann
Publisher : CRC Press
ISBN 13 : 9814669490
Total Pages : 215 pages
Book Rating : 4.8/5 (146 download)
Download or read book Columnar Structures of Spheres written by Jens Winkelmann and published by CRC Press. This book was released on 2023-03-31 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Columnar structures, many of which are helical, refer to dense cylindrical packings of particles. They are ubiquitous, for example, they exist in the contexts of botany, foams, and nanoscience. There have been in-depth investigations of columnar structures of both hard spheres (e.g., ball bearings) and soft spheres (e.g., wet foams), through computer simulations, analytic derivations, or simple experiments. This monograph serves as a comprehensive guide for scientists, engineers, or artists who would like to have a good grasp of the fundamentals and applications of such aesthetically appealing structures for their own professional interests. The book begins with an introduction to the field of packing problems, where such problems are closely related not only to the columnar structures presented in the book but also to the structures of condensed matter systems in general. It then discusses about columnar structures of spheres and overviews their classifications and applications. It reviews the models and concepts employed in the authors’ studies on columnar structures of spheres. It also details the method of sequential deposition for generating columnar structures of hard spheres computationally or experimentally. Lastly, it presents some latest findings on the columnar structures of soft spheres and on the structures obtained from the longitudinal compression of a hard-sphere chain in a cylindrical harmonic potential.
Author : K. Böröczky
Publisher : Cambridge University Press
ISBN 13 : 9780521801577
Total Pages : 406 pages
Book Rating : 4.8/5 (15 download)
Download or read book Finite Packing and Covering written by K. Böröczky and published by Cambridge University Press. This book was released on 2004-08-02 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.
Author : James E. Funk
Publisher : Springer Science & Business Media
ISBN 13 : 1461531187
Total Pages : 791 pages
Book Rating : 4.4/5 (615 download)
Download or read book Predictive Process Control of Crowded Particulate Suspensions written by James E. Funk and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wisdom is the principal thing; therefore get wisdom; and with all thy getting, get understanding. Proverbs 4:7 In the early chapters of the book of Proverbs there is a strong emphasis on three words: knowledge, understanding, and wisdom. Perhaps we can apply these words to our philosophy behind the technology of Predictive Process Control. Knowledge is the accumulation of information provided by education as we begin to store the data in our brains that should prepare us for the challenges of the manufacturing environment. It applies to every level and every opportunity of education, formal and informal. This is simply to Know, without any requirement except a good memory, and is the basis for the following two thoughts. Understanding is the assimilation of knowledge, or the thinking process, as we begin to arrange and rearrange the data we Know for quick recall as it may be needed. This also applies to every level and opportunity of education. It is Know-Why based upon what we Know, and it requires some scepticism of oversimplified answers and a hunger for mental consistency. Wisdom is the application of both knowledge and understanding in real life enterprises. As we apply both our knowledge and understanding in those situations, all three are further enhanced by each progressive experience. This is that wonderful Know-How - to apply our education based upon Know-why, which was based upon Knowledge - which provides the confidence we need to advance in all phases of performance.
Author : J. M. Ziman
Publisher : Cambridge University Press
ISBN 13 : 9780521292801
Total Pages : 548 pages
Book Rating : 4.2/5 (928 download)
Download or read book Models of Disorder written by J. M. Ziman and published by Cambridge University Press. This book was released on 1979-09-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.
