Scale Isometric Polytopal Graphs In Hypercubes And Cubic Lattices
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Scale Isometric Polytopal Graphs In Hypercubes And Cubic Lattices
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Author : M. Deza
language : en
Publisher: Imperial College Press
Release Date : 2004
Scale Isometric Polytopal Graphs In Hypercubes And Cubic Lattices written by M. Deza and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This monograph identifies polytopes that are combinatorially l1-embeddable, within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to l2-prominent affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph theory. The book concentrates on such concise and, as much as possible, independent definitions. The scale-isometric embeddability the main unifying question, to which those lists are subjected is presented with the minimum of technicalities.
Mathematical Treatment Of Nanomaterials And Neural Networks
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Author : Jia-Bao Liu
language : en
Publisher: Frontiers Media SA
Release Date : 2021-12-03
Mathematical Treatment Of Nanomaterials And Neural Networks written by Jia-Bao Liu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-03 with Science categories.
Pattern Recognition On Oriented Matroids
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Author : Andrey O. Matveev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-11
Pattern Recognition On Oriented Matroids written by Andrey O. Matveev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.
Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theory was laid in the mid-1960s, when it was shown that the familiar notion of solution to a feasible system of linear inequalities has ingenious analogues which can serve as collective solutions to infeasible systems. A hierarchy of dialects in the language of mathematics, for instance, open cones in the context of linear inequality systems, regions of hyperplane arrangements, and maximal covectors (or topes) of oriented matroids, provides an excellent opportunity to take a fresh look at the infeasible system of homogeneous strict linear inequalities – the standard working model for the contradictory two-class pattern recognition problem in its geometric setting. The universal language of oriented matroid theory considerably simplifies a structural and enumerative analysis of applied aspects of the infeasibility phenomenon. The present book is devoted to several selected topics in the emerging theory of pattern recognition on oriented matroids: the questions of existence and applicability of matroidal generalizations of committee decision rules and related graph-theoretic constructions to oriented matroids with very weak restrictions on their structural properties; a study (in which, in particular, interesting subsequences of the Farey sequence appear naturally) of the hierarchy of the corresponding tope committees; a description of the three-tope committees that are the most attractive approximation to the notion of solution to an infeasible system of linear constraints; an application of convexity in oriented matroids as well as blocker constructions in combinatorial optimization and in poset theory to enumerative problems on tope committees; an attempt to clarify how elementary changes (one-element reorientations) in an oriented matroid affect the family of its tope committees; a discrete Fourier analysis of the important family of critical tope committees through rank and distance relations in the tope poset and the tope graph; the characterization of a key combinatorial role played by the symmetric cycles in hypercube graphs. Contents Oriented Matroids, the Pattern Recognition Problem, and Tope Committees Boolean Intervals Dehn–Sommerville Type Relations Farey Subsequences Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets Committees of Set Families, and Relative Blocking Constructions in Posets Layers of Tope Committees Three-Tope Committees Halfspaces, Convex Sets, and Tope Committees Tope Committees and Reorientations of Oriented Matroids Topes and Critical Committees Critical Committees and Distance Signals Symmetric Cycles in the Hypercube Graphs
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Activity Report
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Author : Tōkei Sūri Kenkyūjo (Japan)
language : en
Publisher:
Release Date : 2003
Activity Report written by Tōkei Sūri Kenkyūjo (Japan) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematical statistics categories.
75 77
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Author : Мишель Деза
language : ru
Publisher: Litres
Release Date : 2020-07-07
75 77 written by Мишель Деза and has been published by Litres this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-07 with Poetry categories.
«Здесь собраны мои стихи, написанные в 2014–2016, т.е. в мои 75–77 лет.Это отредактированный и организованный по темам материал из журналов [3]–[6] и новые стихи. А раньше я писал только в мои 20–23 и немного в 34–36; это было опубликовано в [1]–[2], т.е. в книжках «59 – 62» (Париж, 1980) и на стр. 1–68, «СТИХИ И ИНТЕРВЬЮ» (Москва, 2014).»
The British National Bibliography
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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2004
The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Bibliography, National categories.
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Author : Мишель Деза
language : ru
Publisher: Litres
Release Date : 2017-08-04
written by Мишель Деза and has been published by Litres this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-04 with Poetry categories.
Сейчас мне 75 и душа, предчувствуя растворение во времени, пытается сделать порядок и накрыть стол до прихода Гостьи. Всю жизнь я писал математические статьи и книги; с 1973, на английском языке, так как эмигрировал (из Москвы в Париж). Пять из этих книг переведены на русский язык. Но в этой книжке собрана только моя ненаука на русском, т.е. стихи и интервью русско-эмигрантской прессе. Стихи я писал в 1959-1962, просто для себя, и бросил. В 1983 в Париже, под тёплым давлением «Синтаксиса» (Афоня), издал у них сборник «59–62». А в 2013–2014-м опубликовал «73–76» (так как частью по записям тех перво-эмигрантских лет) в «Новой Юности», и затем совсем новые поэмы «Путями времени» и «Brevitas» в «Семь иcкусств».Интервью были (в 1991, 1995–96, 2001 и 2008–09 годах) замечательным людям: писателям Саше Гольдштейну и Ире Солганик, критику Лиле Панн и издателю Ире Врубель-Голубкиной.[b]Мишель Деза, Париж, 2014[/b]
Bulletin Of The Institute Of Mathematics Academia Sinica
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Author : Zhong yang yan jiu yuan. Shu xue yan jiu suo
language : en
Publisher:
Release Date : 1997
Bulletin Of The Institute Of Mathematics Academia Sinica written by Zhong yang yan jiu yuan. Shu xue yan jiu suo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.