Discrete structures

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  • "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries.

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  • This paper introduces new learning algorithms for natural language processing based on the perceptron algorithm. We show how the algorithms can be efficiently applied to exponential sized representations of parse trees, such as the “all subtrees” (DOP) representation described by (Bod 1998), or a representation tracking all sub-fragments of a tagged sentence. We give experimental results showing significant improvements on two tasks: parsing Wall Street Journal text, and namedentity extraction from web data. ...

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  • Tham khảo sách 'modelling of mechanical systems structural elements francois axisa', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • DWTs are constantly used to solve and treat more and more advanced problems. The DWT algorithms were initially based on the compactly supported conjugate quadrature filters (CQFs). However, a drawback in CQFs is due to the nonlinear phase effects such as spatial dislocations in multi-scale analysis. This is avoided in biorthogonal discrete wavelet transform (BDWT) algorithms, where the scaling and wavelet filters are symmetric and linear phase. The biorthogonal filters are usually constructed by a ladder-type network called lifting scheme.

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  • Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic[1] – do not vary smoothly in this way, but have distinct, separated values.

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  • We prove the Bers density conjecture for singly degenerate Kleinian surface groups without parabolics. 1. Introduction In this paper we address a conjecture of Bers about singly degenerate Kleinian groups. These are discrete subgroups of PSL2 C that exhibit some unusual behavior: • As groups of projective transformations of the Riemann sphere C they act properly discontinuously on a topological disk whose closure is all of C. • As groups of hyperbolic isometries their action on H3 is not convex cocompact. ...

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  • Lecture Discrete mathematics and its applications (7/e) – Chapter 2: Basic structures: sets, functions, sequences, sums, and matrices. In this chapter we will establish the surprising result that the set of rational numbers is countable, while the set of real numbers is not. This chapter will also show how the concepts we discuss can be used to show that there are functions that cannot be computed using a computer program in any programming language.

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  • This chapter presents the following content: Mathematical induction, strong induction, well-ordering, recursive definitions, structural induction, recursive algorithms, program correctness (not yet included in overheads).

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  • (BQ) Part 1 book "Discrete mathematics and its applications" has contents: The foundations - Logic and proofs; basic structures - Sets, functions, sequences, and sums; the fundamentals -algorithms, the integers, and matrices; induction and recursion; counting; discrete probability.

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  • The modelling of mechanical systems provides engineers and students with the methods to model and understand mechanical systems by using both mathematical and computer-based tools. Written by an eminent authority in the field, this is the second of four volumes which provide engineers with a comprehensive resource on this cornerstone mechanical engineering subject. Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells.

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  • THE recent development of various methods of modulation such as PCM and PPM which exchange bandwidth for signal-to-noise ratio has intensified the interest in a general theory of communication. A basis for such a theory is contained in the important papers of Nyquist1 and Hartley2 on this subject. In the present paper we will extend the theory to include a number of new factors, in particular the effect of noise in the channel, and the savings possible due to the statistical structure of the original message and due to the nature of the final destination of the information....

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  • Here we study the architecture and characteristics of the broker network. We are using a particular internal structure for the events (defined in XML but currently implemented as a Java object). We assume a sophisticated matching of publishers and subscribers defined as general topic objects (defined by an XML Schema that we have designed). However these are not the central issues to be discussed here.

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  • In this chapter, we study the mathematical structure of a simple one-period model of a financial market. We consider a finite number of assets. Their initial prices at time t = 0 are known, their future prices at time t = 1 are described as random variables on some probability space. Trading takes place at time t = 0. Already in this simple model, some basic principles of mathematical finance appear very clearly. In Section 1.2, we single out those models which satisfy a condition of market efficiency: There are no trading opportunities which yield a profit without any downside risk.

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  • This publication includes two Æ (architectural engineering) handbooks, this one dealing with the design of mechanical systems and related components, the other doing the same with structural systems. Each volume also contains an interactive CD-ROM of its algebraic formulas that enables each equation to be solved quickly and accurately by computer

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  • MODERN ALGEBRA WITH APPLICATIONS PURE AND APPLIED MATHEMATICS A Wiley-Interscience Series of Texts, Monograph, and Tracts Founded by RICHARD COURANT Editors: MYRON B. ALLEN III, DAVID A. COX, PETER LAX Editors Emeriti: PETER HILTON, HARRY HOCHSTADT, JOHN TOLAND A complete list of the titles in this series appears at the end of this volume. MODERN ALGEBRA WITH APPLICATIONS Second Edition WILLIAM J. GILBERT University of Waterloo Department of Pure Mathematics Waterloo, Ontario, Canada W.

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  • Search algorithms aim to find solutions or objects with specified properties and constraints in a large solution search space or among a collection of objects. A solution can be a set of value assignments to variables that will satisfy the constraints or a sub-structure of a given discrete structure. In addition, there are search algorithms, mostly probabilistic, that are designed for the prospective quantum computer.

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  • A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities.

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  • The heterogeneous nuclear ribonucleoprotein (hnRNP) type I, a modulator of alternative splicing, localizes in the nucleoplasm of mammalian cells and in a discrete perinucleolar structure. HnRNP I contains a novel type of bipartite nuclear localization signal (NLS) at the N-terminus of the protein that we have previously named nuclear determinant localization type I (NLD-I). Recently, a neural counterpart of hnRNP I has been identified that contains a putative NLS with two strings of basic amino acids separated by a spacer of 30 residues....

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  • Lecture 6 - System structures for implementation presents the following content: Block diagram representation of computational structures, signal flow graph description, basic structures for IIR systems, transposed forms, basic structures for FIR systems.

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  • The word metabolism derives from the Greek word for “change.” Metabolism represents the sum of the chemical changes that convert nutrients, the “raw materials” necessary to nourish living organisms, into energy and the chemically complex finished products of cells. Metabolism consists of literally hundreds of enzymatic reactions organized into discrete pathways.

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