01589nam 2200457 450 991081514780332120230807213427.092-0-119219-3(CKB)3710000001364580(MiAaPQ)EBC4853292(Au-PeEL)EBL4853292(CaPaEBR)ebr11384216(OCoLC)949498307(EXLCZ)99371000000136458020170605h20152015 uy 0engurcnu||||||||rdacontentrdamediardacarrierNanoscale radiation engineering of advanced materials for potential biomedical applications /International Atomic Energy AgencyVienna, [Austria] :International Atomic Energy Agency,2015.©20151 online resource (227 pages) color illustrationsIAEA Radiation Technology Reports ;Number 592-0-101815-0 IAEA radiation technology reports series ;Number 5.RadiationIndustrial applicationsCongressesNanostructured materialsEffect of radiation onNanochemistryRadiationIndustrial applicationsNanostructured materialsEffect of radiation on.Nanochemistry.621.4837MiAaPQMiAaPQMiAaPQBOOK9910815147803321Nanoscale radiation engineering of advanced materials for potential biomedical applications3925802UNINA04059nam 2200577Ia 450 991014596590332120200520144314.09781402099274140209927410.1007/978-1-4020-9927-4(CKB)1000000000718308(SSID)ssj0000319469(PQKBManifestationID)11222537(PQKBTitleCode)TC0000319469(PQKBWorkID)10337833(PQKB)11021671(DE-He213)978-1-4020-9927-4(MiAaPQ)EBC3064047(PPN)134125509(EXLCZ)99100000000071830820090221d2009 uy 0engurnn|008mamaatxtccrPolygons, polyominoes and polycubes /Anthony J. Guttmann (ed.)1st ed. 2009.Dordrecht Springerc20091 online resource (XIX, 490 p.) Lecture notes in physics ;775Bibliographic Level Mode of Issuance: Monograph9781402099267 1402099266 Includes bibliographical references and index.History and Introduction to Polygon Models and Polyominoes -- Lattice Polygons and Related Objects -- Exactly Solved Models -- Why Are So Many Problems Unsolved? -- The Anisotropic Generating Function of Self-Avoiding Polygons is not D-Finite -- Polygons and the Lace Expansion -- Exact Enumerations -- Series Analysis -- Monte Carlo Methods for Lattice Polygons -- Effect of Confinement: Polygons in Strips, Slabs and Rectangles -- Limit Distributions and Scaling Functions -- Interacting Lattice Polygons -- Fully Packed Loop Models on Finite Geometries -- Conformal Field Theory Applied to Loop Models -- Stochastic Lowner Evolution and the Scaling Limit of Critical Models -- Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates.This unique book gives a comprehensive account of new mathematical tools used to solve polygon problems. In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry – and more recently in molecular biology and bio-informatics – can be expressed as counting problems, in which specified graphs, or shapes, are counted. One very special class of shapes is that of polygons. These are closed, connected paths in space. We usually sketch them in two-dimensions, but they can exist in any dimension. The typical questions asked include "how many are there of a given perimeter?", "how big is the average polygon of given perimeter?", and corresponding questions about the area or volume enclosed. That is to say "how many enclosing a given area?" and "how large is an average polygon of given area?" Simple though these questions are to pose, they are extraordinarily difficult to answer. They are important questions because of the application of polygon, and the related problems of polyomino and polycube counting, to phenomena occurring in the natural world, and also because the study of these problems has been responsible for the development of powerful new techniques in mathematics and mathematical physics, as well as in computer science. These new techniques then find application more broadly. The book brings together chapters from many of the major contributors in the field. An introductory chapter giving the history of the problem is followed by fourteen further chapters describing particular aspects of the problem, and applications to biology, to surface phenomena and to computer enumeration methods.Lecture notes in physics ;775.PolygonsPolyominoesPolygons.Polyominoes.576.15Guttmann A. J(Anthony J.)1761897MiAaPQMiAaPQMiAaPQBOOK9910145965903321Polygons, polyominoes and polycubes4201573UNINA