The purpose of this book is to teach the tequniques needed to analyze algorithms. Students should have a background in computer science up through data structures and in mathematics through calculus.Показать полностьюThe purpose of this book is to teach the tequniques needed to analyze algorithms. Students should have a background in computer science up through data structures and in mathematics through calculus. The text is organized by analysis techniques and includes a systematic and largely self-contained treatment of the mathematics needed for elementary and intermediate analysis, as well as brief guides to the sources for more advanced techniques. Each is illustrated by application to the analysis of a realistic algorithm. Explicit guidance for the use of various methods is provided. Exercises provide the student with the opportunity to apply the techniques in developing original algorithm analysis.

These lists are not only interesting but can be extremely useful. Nearly every computer scientist and mathematician has encountered some instance where they solved a problem simply by listing all the possibilities and checking for a desired property. One can find applications of the ideas in this book to circuit design, statistical computing, chemistry, and operations research, just to name a few.

'Syntactic Theory: A Formal Introduction' is unlike any other introductory textbook on the market; it marks a return to ‘generative grammar’ in its original sense.Показать полностью'Syntactic Theory: A Formal Introduction' is unlike any other introductory textbook on the market; it marks a return to ‘generative grammar’ in its original sense. This book focuses on the development of precisely formulated grammars whose empirical predictions can be directly tested. There is considerable emphasis on prediction and evaluation of grammatical hypotheses, as well as on integrating syntactic hypotheses with matters of semantic analysis. Problem solving is also emphasized; the extensive problems sets draw from a variety of languages other than English. Special attention is paid to the nature of lexical entries and the organization of the lexicon in terms of type hierarchies and constraint inheritance. The theoretical perspective of the book is presented in the context of current models of language processing, which provide motivation for a constraint-based, lexicalist grammatical architecture, whose value has already been demonstrated in computer language processing applications. The book begins with the inadequacy of context-free phrase structure grammars, motivating the introduction of feature structures, types and type constraints as ways of expressing linguistic generalizations. Step by step, the student is led to discover a grammar that covers the core areas of English syntax that have been central to syntactic theory in the last quarter century, including: complementation, control, ‘raising constructions’, passives, the auxiliary system, and the analysis of long distance dependency constructions. Special attention is given to the treatment of dialect variation, especially with respect to African American Vernacular English, which has been of considerable interest with regard to the educational practice of American school systems.

This introduction to certain mathematical topics central to theoretical computer science treats computability and recursive functions, formal languages and automata, computational complexity, and cruptography.Показать полностьюThis introduction to certain mathematical topics central to theoretical computer science treats computability and recursive functions, formal languages and automata, computational complexity, and cruptography. The presentation is essentially self-contained with detailed proofs of all statements provided. Although it begins with the basics, it proceeds to some of the most important recent developments in theoretical computer science.

Data compression is one of the most important fields and tools in modern computing. From archiving data, to CD ROMs, and from coding theory to image analysis, many facets of modern computing rely upon data compression.Показать полностьюData compression is one of the most important fields and tools in modern computing. From archiving data, to CD ROMs, and from coding theory to image analysis, many facets of modern computing rely upon data compression. Data Compression provides a comprehensive reference for the many different types and methods of compression. Included are a detailed and helpful taxonomy, analysis of most common methods, and discussions on the use and comparative benefits of methods and description of “how to” use them. The presentation is organi ed into the main branches of the field of data compression: run length encoding, statistical methods, dictionary-based methods, image compression, audio compression, and video compression. Detailed descriptions and explanations of the most well-known and frequently used compression methods are covered in a self-contained fashion, with an accessible style and technical level for specialists and nonspecialists. Topics and features: coverage of video compression, including MPEG-1 and H.261; thorough coverage of wavelets methods, including CWT, DWT, EZW and the new Lifting Scheme technique; complete audio compression; QM coder used in JPEG and JBIG, including new JPEG 200 standard; image transformations and detailed coverage of discrete cosine transform and Haar transform; coverage of EIDAC method for compressing simple images; prefix image compression; ACB and FHM curve compression; geometric compression and edgebreaker technique.Data Compression provides an invaluable reference and guide for all computer scientists, computer engineers, electrical engineers, signal/image processing engineers and other scientists needing a comprehensive compilation for a broad range of compression methods.

Spatial data consist of points, lines, rectangles, regions, surfaces, and volumes. The representation of such data is becoming increasingly important in applications in computer graphics, computer vision, database management systems, computer-aided design, solid modeling, robotics, geographic information systems (GIS), image processing, computational geometry, pattern recognition, and other areas.Показать полностьюSpatial data consist of points, lines, rectangles, regions, surfaces, and volumes. The representation of such data is becoming increasingly important in applications in computer graphics, computer vision, database management systems, computer-aided design, solid modeling, robotics, geographic information systems (GIS), image processing, computational geometry, pattern recognition, and other areas. Once an application has been specified, it is common for the spatial data types to be more precise. For example, consider a geographic information system (GIS). In such a case, line data are differentiated on the basis of whether the lines are isolated (e.g., earthquake faults), elements of tree-like structures (e.g., rivers and their tributaries), or elements of networks (e.g., rail and highway systems). Similarly region data are often in the form of polygons that are isolated (e.g., lakes), adjacent (e.g., nations), or nested (e.g., contours). Clearly the variations are large.

In kompakter Form macht das Buch mit den wesentlichen Themen vertraut, die in einer Vorlesung uber Algorithmen behandelt werden. Im Mittelpunkt stehen dabei die verschiedensten sequentiellen Algorithmen, deren Komplexitatsanalyse und allgemeine Algorithmen-Paradigmen.Показать полностьюIn kompakter Form macht das Buch mit den wesentlichen Themen vertraut, die in einer Vorlesung uber Algorithmen behandelt werden. Im Mittelpunkt stehen dabei die verschiedensten sequentiellen Algorithmen, deren Komplexitatsanalyse und allgemeine Algorithmen-Paradigmen. Kurz und konkret werden die wichtigsten algorithmischen Aufgabenstellungen (Selektion, Sortieren, Hashing), Algorithmen auf Graphen, algebraische und zahlentheoretische Verfahren behandelt. Hinzu kommen heuristische Algorithmenprinzipien wie z.B. genetisches Programmieren.Prof. Dr. Uwe Schoning ist Leiter der Abteilung Theoretische Informatik der Universitat Ulm.

Heapsort is a classical sorting algorithm doe to Williams. Given an array to sort, Heapsort first transforms the keys of the array into a heap. The heap is then sorted by repeatedly swapping the root of the heap with the last key in the bottom row, and then sifting this new root down to an appropriate position to restore heap order.Показать полностьюHeapsort is a classical sorting algorithm doe to Williams. Given an array to sort, Heapsort first transforms the keys of the array into a heap. The heap is then sorted by repeatedly swapping the root of the heap with the last key in the bottom row, and then sifting this new root down to an appropriate position to restore heap order. This thesis analyzes the asymptotic number of executions of each instruction for both versions of Heapsort in the average, best, and worst cases.

A complete study is presented of the best general purpose method for sorting by computer: C. A. R. Hoare’s Quicksort algorithm. Special attention is paid to the methods of mathematical analysis which are used to demonstrate the practical utility of the algorithm.Показать полностьюA complete study is presented of the best general purpose method for sorting by computer: C. A. R. Hoare’s Quicksort algorithm. Special attention is paid to the methods of mathematical analysis which are used to demonstrate the practical utility of the algorithm. The most efficient known form of Quicksort is developed, and exact formulas are derived for the average, best case, and worst case running times. The merits of the many modifications which have been suggested to improve Quicksort are discussed, with an emphasis on their impact upon the analysis. Van Emden’s method, samplesort, and the median-of-three modification are discussed in detail, and it is shown that the latter is the most effective improvement to Quicksort for practical sorting applications.

This book is intended to survey the most important algorithms in use on computers today and to teach fundamental techniques to the growing number of people who are interested in becoming serious computer users.Показать полностьюThis book is intended to survey the most important algorithms in use on computers today and to teach fundamental techniques to the growing number of people who are interested in becoming serious computer users. It is appropriate for use as a textbook for a second, third or fourth course in computer science: after students have acquired some programming skills and familiarity with computer systems, but before they have specialized courses in advanced areas of computer science or computer applications. Additionally, the book may be useful as a reference for those who already have some familiarity with the material, since it contains a number of computer implementations of useful algorithms.

This volume helps take some of the “mystery” out of identifying and dealing with key algorithms. Drawing heavily on the author’s own real-world experiences, the book stresses design and analysis.Показать полностьюThis volume helps take some of the “mystery” out of identifying and dealing with key algorithms. Drawing heavily on the author’s own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

We show how a computational system can be constructed to “reason”, effectively and consequentially, about its own inferential processes. The analysis proceeds in two parts.Показать полностьюWe show how a computational system can be constructed to “reason”, effectively and consequentially, about its own inferential processes. The analysis proceeds in two parts. First, we consider the general question of computational semantics, rejecting traditional approaches, and arguing that the declarative and procedural aspects of computational symbols (what they stand for, and what behavior they engender) should be analyzed independently, in order that they may be coherently related. Second, we investigate self-referential behavior in computational processes, and show how to embed an effective procedural model of a computational calculus within that calculus (a model not unlike meta-circular interpreter, but connected to the fundamental operations of the machine in such a way as to provide, at any point in a computation, fully articulated descriptions of the state of that computation, for inspection and possible modification). In terms of the theories that result from these investigations, we present a general architecture for procedurally reflective processes, able to shift smoothly between dealing with a given subject domain, and dealing with their own reasoning processes over that domain. An instance of the general solution is worked out in the context of an applicative language. Specifically, we present three successive dialects of LISP: 1-LISP, a distillation of current practice, for comparison purposes; 2-LISP, a dialect constructed in terms of our rationalized semantics, in which the concept of evaluation is rejected in favor of independent notions of simplification and reference, and in which the respective categories of notation, structure, semantics, and behavior are strictly aligned; and 3-LISP, an extension of 2-LISP endowed with reflective powers.

The computation of patterns in strings is a fundamental requirement in many areas of science and information processing. The operation of a text editor, the lexical analysis of a computer program, the functioning of a finite automaton, the retrieval of information from a database — these are all activities which may require that patterns be located and computed.Показать полностьюThe computation of patterns in strings is a fundamental requirement in many areas of science and information processing. The operation of a text editor, the lexical analysis of a computer program, the functioning of a finite automaton, the retrieval of information from a database — these are all activities which may require that patterns be located and computed. In other areas of science, the algorithms that compute patterns have applications in such diverse fields as data compression, cryptography, speech recognition, computer vision, computational geometry and molecular biology.

As distributed computer systems become more pervasive, so does the need for understanding how their operating systems are designed and implemented. Andrew S.Показать полностьюAs distributed computer systems become more pervasive, so does the need for understanding how their operating systems are designed and implemented. Andrew S. Tanenbaum’s Distributed Operating Systems fulfills this need. Representing a revised and greatly expanded Part II of the best-selling Modern Operating Systems, it covers the material from the original book, including communication, synchronization, processes, and file systems, and adds new material on distributed shared memory, real-time distributed systems, fault-tolerant distributed systems, and ATM networks. It also contains four detailed case studies: Amoeba, Mach, Chorus, and OSF/DCE. Tanenbaum’s trademark writing provides readers with a thorough, concise treatment of distributed systems.

The first half of the book covers the data structures used in solving the network problems that are presented in the second half. These data structures including disjoint sets, heaps, and search trees.Показать полностьюThe first half of the book covers the data structures used in solving the network problems that are presented in the second half. These data structures including disjoint sets, heaps, and search trees. Highlights of this half of the book are Tarjan’s proof of the amoritized cost of union find, and explaination of self-adjusting binary trees. The second half of the book covers four classical network problems: minimum spanning tree, shortest paths, network flows (e.g. min-cut), and matchings.

This thesis presents efficient algorithms for internal and external parallel sorting and remote data update. The sorting algorithms approach the problem by concentrating first on highly efficient but incorrect algorithms followed by a cleanup phase that completes the sort.Показать полностьюThis thesis presents efficient algorithms for internal and external parallel sorting and remote data update. The sorting algorithms approach the problem by concentrating first on highly efficient but incorrect algorithms followed by a cleanup phase that completes the sort. The remote data update algorithm, rsync, operates by exchanging block signature information followed by a simple hash search algorithm for block matching at arbitrary byte boundaries. The last chapter of the thesis examines a number of related algorithms for text compression, differencing and incremental backup.

In this thesis, several aspects of quadtree representations are analyzed. The quadtree is a hierarchical variable-resolution data structure suitable for representing the geometric objects of computer graphics, the polygonal maps of computer cartography, and the digitized images of computer vision.Показать полностьюIn this thesis, several aspects of quadtree representations are analyzed. The quadtree is a hierarchical variable-resolution data structure suitable for representing the geometric objects of computer graphics, the polygonal maps of computer cartography, and the digitized images of computer vision. The analysis of quadtrees is presented in three parts: A) a formal semantics for quadtree algorithms, B) improved algorithms for manipulating the standard region quadtree, and C) adaptations of the quadtree methodology to the task of representing polygonal maps.

Presents a large number of recent research results previously unavailable in book form. Initially deals with the wee-known computation models, and goes on to special types of circuits, parallel computers, and branching programs. Includes basic theory as well recent research findings. Each chapter includes exercises.

The use of statistical methods In the design and analysis of discrete algorithms is explored. Among the design tools are randomization, ranking, sampling and subsampling, density estimation, and “cell” or “bucket” techniques. The analysis techniques include those based on the design methods as well as the use of stochastic convergence concepts and order statistics.

Copyright 1994 by Herbert S. Wilf. This material may be reproduced for any educational purpose, multiple copies may be made for classes, etc. Charges, if any, for reproduced copies must be just enough to recover reasonable costs of reproduction.Показать полностьюCopyright 1994 by Herbert S. Wilf. This material may be reproduced for any educational purpose, multiple copies may be made for classes, etc. Charges, if any, for reproduced copies must be just enough to recover reasonable costs of reproduction. Reproduction for commercial purposes is prohibited. For the past several years mathematics majors in the computing track at the University of Pennsylvania have taken a course in continuous algorithms (numerical analysis) in the junior year, and in discrete algorithms in the senior year. This book has grown out of the senior course as I have been teaching it recently. It has also been tried out on a large class of computer science and mathematics majors, including seniors and graduate students, with good results.