Author: E. J. Janse van Rensburg
Publisher: OUP Oxford
ISBN: 0191644676
Category : Mathematics
Languages : en
Pages : 563
Get Book Here
Book Description
The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
Author: Toptier Coloring Books
Publisher:
ISBN: 9781689598248
Category :
Languages : en
Pages : 104
Get Book Here
Book Description
Polygon Animals Coloring Book is the perfect gift for anyone that loves animals and coloring. With 50 coloring pages of wild life including bears, dogs, birds, sharks, big cats and more! Easy to color geometric animal shapes will have you and the kids entertained for hours! Great for the beginner coloring book lover. Sized at 8.5" X 11" 102 Pages. Each design is printed on one side of the page to avoid bleed through. Full color MATTE finish for an elegant, professional look and feel. Flexible soft cover paperback. Great gift for birthday and Christmas, family, friends and coworkers!
Author: Spectrum Coloring
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534802940
Category :
Languages : en
Pages : 92
Get Book Here
Book Description
Unwind and bring these animals to life with color! * Features over 40 detailed polygon animals * Contains varying levels of complexity * One-sided coloring book pages
Author: Rachel Mintz
Publisher:
ISBN: 9781986526463
Category :
Languages : en
Pages : 82
Get Book Here
Book Description
Animal World Coloring Pages for Kids ANIMALS COLORING BOOK - LARGE images, EASY to color, EASY to fill with their markers and crayons. In THIS book you get ONE IMAGE PER PAGE, so no colors bleed into other pages. This coloring book is for boys and girls alike. Cute FARM, ZOO, WILDLIFE, BIRDS Coloring Book for young ages! Coloring book for children ages 4-5 (preschool & kindergarten) and up to ages 5-6. Large drawings of animals they know: Duck, Goose, Bull, Lion, Horse, Bear, Owl, Pig, Cobra and more...
Author: Shayla Judd
Publisher:
ISBN:
Category :
Languages : en
Pages : 80
Get Book Here
Book Description
Creatures Of Beauty Polygon Animals Coloring Book Have an excellent go-to activity for unwinding and relaxation with this 8.5x11 coloring book. It is filled with many geometric animal patterns and designs to color that are sure to help you calm your head and get your mind off of worries. This makes a great gift for birthdays, Christmas, or any special occasion! Size:8.5X11 in Get yourself a copy and start this wonderful activity today!
Author: Becky Torres
Publisher:
ISBN: 9781518620188
Category :
Languages : en
Pages : 84
Get Book Here
Book Description
Polygon Animals by Becky Torres Designs. Featuring 40 pages of Polygon Animals (single sided). Each animal is lightly shaded to be your guide as you easily bring each page to life by simply adding color!Single SidedFind other coloring books by Becky Torres Designs at www.amazon.com/author/beckytorresdesigns
Author: A. J. Guttmann
Publisher: Springer Science & Business Media
ISBN: 1402099266
Category : Science
Languages : en
Pages : 500
Get Book Here
Book Description
The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many other areas, including economics, the social sciences, the biological sciences and even to traf?c models. It is the widespread applicab- ity of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. Here we are concerned with collecting together most of what is known about polygons, and the closely related problems of polyominoes. We describe what is known, taking care to distinguish between what has been proved, and what is c- tainlytrue,but has notbeenproved. Theearlierchaptersfocusonwhatis knownand on why the problems have not been solved, culminating in a proof of unsolvability, in a certain sense. The next chapters describe a range of numerical and theoretical methods and tools for extracting as much information about the problem as possible, in some cases permittingexactconjecturesto be made.
Author: R. McNeill Alexander
Publisher: Princeton University Press
ISBN: 1400849519
Category : Science
Languages : en
Pages : 385
Get Book Here
Book Description
How can geckoes walk on the ceiling and basilisk lizards run over water? What are the aerodynamic effects that enable small insects to fly? What are the relative merits of squids' jet-propelled swimming and fishes' tail-powered swimming? Why do horses change gait as they increase speed? What determines our own vertical leap? Recent technical advances have greatly increased researchers' ability to answer these questions with certainty and in detail. This text provides an up-to-date overview of how animals run, walk, jump, crawl, swim, soar, hover, and fly. Excluding only the tiny creatures that use cilia, it covers all animals that power their movements with muscle--from roundworms to whales, clams to elephants, and gnats to albatrosses. The introduction sets out the general rules governing all modes of animal locomotion and considers the performance criteria--such as speed, endurance, and economy--that have shaped their selection. It introduces energetics and optimality as basic principles. The text then tackles each of the major modes by which animals move on land, in water, and through air. It explains the mechanisms involved and the physical and biological forces shaping those mechanisms, paying particular attention to energy costs. Focusing on general principles but extensively discussing a wide variety of individual cases, this is a superb synthesis of current knowledge about animal locomotion. It will be enormously useful to advanced undergraduates, graduate students, and a range of professional biologists, physicists, and engineers.
Author: John R Parks
Publisher: Springer Science & Business Media
ISBN: 3642683304
Category : Technology & Engineering
Languages : en
Pages : 338
Get Book Here
Book Description
Geoffrey R. Dolby, PhD One of the principal characteristics of a scientific theory is that it be falsifiable. It must contain predictions about the real world which can be put to experimental test. Another very important characteristic of a good theory is that it should take full cognisance of the literature of the discipline in which it is embedded, and that it should be able to explain, at least as well as its competitors, those experimental results which workers in the discipline accept without dispute. Readers of John Parks' book will be left in no doubt that his theory of the feeding and growth of animals meets both of the above criteria. The author's knowledge of the literature of animal science and the seriousness of his attempt to incorporate the results of much previous work into the framework of the present theory result in a rich and imaginative integration of diverse material concerned with the growth and feeding of animals through time, a theory which is made more precise through the judicious use of mathematics. The presentation is such that the key concepts are introduced gradually and readers not accustomed to a mathematical treatment will find that they can appreciate the ideas without undue trauma. The key concepts are clearly illustrated by means of a generous set of figures. The crux of the theory comprises three differential Eqs. (7. 1-7.
Author: Johnny Cancan
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
Get Book Here
Book Description
Visit the author's page for more colors, patterns, and sizes! 40 Polygon Animal Designs to Color and Draw! This coloring book is for everyone to enjoy after work or school, or while traveling. It features various animals from land and sea and from all around the world for you to color and relax. It's the perfect gift for your friends and loved ones! Buy it for you, for your kids, your partner or everyone into coloring! Check its features for more information: Soft Beautiful Glossy Cover Size: 8.5 x 11 in White paper 82 pages printed only on one side each to prevent bleed-through To see the inside of the book, click that "Look Inside" feature. If you liked our activity books, share them with your friends and share a review! If you want to share your thoughts or suggestions, send us an email to the address that's inside the book!