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Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402
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Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402
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Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Author: John W. Lawrence
Publisher: Cambridge University Press
ISBN: 1108865518
Category : Mathematics
Languages : en
Pages :
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Book Description
Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.
Author: Helmut Satz
Publisher: Oxford University Press
ISBN: 0198792425
Category : Science
Languages : en
Pages : 177
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Book Description
What is the origin of the universe? What was there before the universe appeared? We are presently witnessing a second Copernican revolution: neither our Earth and Sun nor our galaxy nor even our universe is the end of all things. This account of recent developments in modern cosmology introduces how the Big Bang took place and what preceded it.
Author: Alev Devrim Güçlü
Publisher: Springer
ISBN: 3662446111
Category : Science
Languages : en
Pages : 172
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Book Description
This book reflects the current status of theoretical and experimental research of graphene based nanostructures, in particular quantum dots, at a level accessible to young researchers, graduate students, experimentalists and theorists. It presents the current state of research of graphene quantum dots, a single or few monolayer thick islands of graphene. It introduces the reader to the electronic and optical properties of graphite, intercalated graphite and graphene, including Dirac fermions, Berry's phase associated with sublattices and valley degeneracy, covers single particle properties of graphene quantum dots, electron-electron interaction, magnetic properties and optical properties of gated graphene nanostructures. The electronic, optical and magnetic properties of the graphene quantum dots as a function of size, shape, type of edge and carrier density are considered. Special attention is paid to the understanding of edges and the emergence of edge states for zigzag edges. Atomistic tight binding and effective mass approaches to single particle calculations are performed. Furthermore, the theoretical and numerical treatment of electron-electron interactions at the mean-field, HF, DFT and configuration-interaction level is described in detail.
Author: Sebastian Löbner
Publisher: Springer Nature
ISBN: 3030502007
Category : Language Arts & Disciplines
Languages : en
Pages : 486
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Book Description
This open access book presents novel theoretical, empirical and experimental work exploring the nature of mental representations that support natural language production and understanding, and other manifestations of cognition. One fundamental question raised in the text is whether requisite knowledge structures can be adequately modeled by means of a uniform representational format, and if so, what exactly is its nature. Frames are a key topic covered which have had a strong impact on the exploration of knowledge representations in artificial intelligence, psychology and linguistics; cascades are a novel development in frame theory. Other key subject areas explored are: concepts and categorization, the experimental investigation of mental representation, as well as cognitive analysis in semantics. This book is of interest to students, researchers, and professionals working on cognition in the fields of linguistics, philosophy, and psychology.
Author: Constantine Gatsonis
Publisher: Springer Science & Business Media
ISBN: 1461227143
Category : Mathematics
Languages : en
Pages : 446
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Book Description
The past few years have witnessed dramatic advances in computational methods for Bayesian inference. As a result, Bayesian approaches to solving a wide variety of problems in data analysis and decision-making have become feasible, and there is currently a growth spurt in the application of Bayesian methods. The purpose of this volume is to present several detailed examples of applications of Bayesian thinking, with an emphasis on the scientific or technological context of the problem being solved. The papers collected here were presented and discussed at a Workshop held at Carnegie-Mellon University, September 29 through October 1, 1991. There are five ma jor articles, each with two discussion pieces and a reply. These articles were invited by us following a public solicitation of abstracts. The problems they address are diverse, but all bear on policy decision-making. Though not part of our original design for the Workshop, that commonality of theme does emphasize the usefulness of Bayesian meth ods in this arena. Along with the invited papers were several additional commentaries of a general nature; the first comment was invited and the remainder grew out of the discussion at the Workshop. In addition there are nine contributed papers, selected from the thirty-four presented at the Workshop, on a variety of applications. This collection of case studies illustrates the ways in which Bayesian methods are being incorporated into statistical practice. The strengths (and limitations) of the approach become apparent through the examples.
Author: Lothar Budach
Publisher: Springer Science & Business Media
ISBN: 9783540544586
Category : Computers
Languages : en
Pages : 444
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Book Description
This volume contains papers which were contributed for presentation at the international conference "Fundamentals of Computation Theory - FCT '91" heldat Gosen, near Berlin, September 9-13, 1991. This was the eighth in the series of FCT conferences organized every odd year. The programme of theconference, including invited lectures and selected contributions, falls into the following categories: - Semantics and logical concepts in the theory of computing, formal specification, - Automata and formal languages, Computational geometry, - Algorithmic aspects of algebra and algebraic geometry, cryptography, - Complexity (sequential, parallel, distributed computing, structure, lower bounds, complexity of analytical problems, general concepts), - Algorithms (efficient, probabilistic, parallel, sequential, distributed), - Counting and combinatorics in connection with mathematical computer science. The proceedings of previous FCT meetings are available as Lecture Notes in Computer Science (Vols. 380, 278, 199, 158, 117, 56).
Author: Bozzano G Luisa
Publisher: Elsevier
ISBN: 9780444880710
Category : Computers
Languages : en
Pages : 1014
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Book Description
This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Author: Sam Coveney
Publisher: Springer
ISBN: 3319193996
Category : Science
Languages : en
Pages : 171
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Book Description
This work sheds new light on fundamental aspects of phase separation in polymer-blend thin films. A key feature underlying the theoretical models is the unification of one-dimensional thermodynamic phase equilibria with film evolution phenomena in two- and three dimensions. Initially, an established 'phase portrait' method, useful for visualising and calculating phase equilibria of polymer-blend films, is generalised to systems without convenient simplifying symmetries. Thermodynamic equilibria alone are then used to explain a film roughening mechanism in which laterally coexisting phases can have different depths in order to minimise free energy. The phase portraits are then utilised to demonstrate that simulations of lateral phase separation via a transient wetting layer, which conform very well with experiments, can be satisfactorily explained by 1D phase equilibria and a 'surface bifurcation' mechanism. Lastly, a novel 3D model of coupled phase separation and dewetting is developed, which demonstrates that surface roughening shadows phase separation in thin films.
Author: Schools Council (Great Britain). Mathematics Curriculum Project
Publisher:
ISBN: 9780216903401
Category : Configurations
Languages : en
Pages : 57
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Book Description
