Polygons, Polyominoes and Polycubes -
-40% koodiga BOOKS
Saadetis 17-23 tööpäeva jooksul
30-päevane tagastamisõigus
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 ... Täielik kirjeldus
Võib-olla meeldib sulle ka
TOP
The Demon-Haunted World: Science as a Candle in the Dark
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
-40% koodiga BOOKS
Lõppenud
TOP
Heart Rate Variability: Science and Strategies for Peak Performance
Marco Altini, Sylvain Laborde, Dan Plews, Emma Mosley
-40% koodiga BOOKS
Lõppenud
TOP
Many Faces, One Purpose: A Manager's Handbook on Women in Firefighting
U. S. Fire Administration, Homeland Security
-40% koodiga BOOKS
Lõppenud
TOP
Thinking in Systems: International Bestseller
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Gulf Moment: Arab Relations Since 2011
Florence Gaub, U. S. Army War College, Strategic Studies Institute
-40% koodiga BOOKS
Lõppenud
TOP
Introduction to Algorithms
Ronald L. Rivest, Charles E. Leiserson, Clifford Stein, Thomas H. Cormen
-40% koodiga BOOKS
Meie tarnija laos
TOP
Skin in the Game: Hidden Asymmetries in Daily Life
-40% koodiga BOOKS
Meie tarnija laos
TOP
101 Things I Learned in Architecture School
-40% koodiga BOOKS
Meie tarnija laos
TOP
Dinosaurs and Prehistoric Life: The Definitive Visual Guide to Prehistoric Animals
-40% koodiga BOOKS
Meie tarnija laos
TOP
Worth Dying For: The Power and Politics of Flags
-40% koodiga BOOKS
Meie tarnija laos
TOP
Crossing Borders: About the birth of the Consortium of European Research Libraries, the organisation's early years and its path to maturity, spanning the period from the late twentieth century to the first decades of the twenty-first century
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography
-40% koodiga BOOKS
Meie tarnija laos
TOP
Only Dull People Are Brilliant at Breakfast
-40% koodiga BOOKS
Meie tarnija laos
TOP
Playing It by the Book: Printed and Manuscript Book Games in Early Modern Europe
-40% koodiga BOOKS
Meie tarnija laos
TOP
International Economics: Theory and Policy, Global Edition
Paul Krugman, Maurice Obstfeld, Marc Melitz
-40% koodiga BOOKS
Meie tarnija laos
TOP
The Unaccountability Machine: Why Big Systems Make Terrible Decisions
-40% koodiga BOOKS
Meie tarnija laos
Kirjeldus
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.
Lisateave
| Kirjastaja | Springer Netherlands |
|---|---|
| Series | Lecture Notes in Physics |
| Väljalaskeaasta | 2009 |
| Kaanetüüp | Kõvakaaneline |
| EAN | 9781402099267 |