Recurrent Sequences

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Publisher : Springer Nature
ISBN 13 : 3030515028
Total Pages : 410 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recurrent Sequences by : Dorin Andrica

Download or read book Recurrent Sequences written by Dorin Andrica and published by Springer Nature. This book was released on 2020-09-23 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics. It is designed to appeal to a wide readership, ranging from scholars and academics, to undergraduate students, or advanced high school and college students training for competitions. The content of the book is very recent, and focuses on areas where significant research is currently taking place. Among the new approaches promoted in this book, the authors highlight the visualization of some recurrences in the complex plane, the concurrent use of algebraic, arithmetic, and trigonometric perspectives on classical number sequences, and links to many applications. It contains techniques which are fundamental in other areas of math and encourages further research on the topic. The introductory chapters only require good understanding of college algebra, complex numbers, analysis and basic combinatorics. For Chapters 3, 4 and 6 the prerequisites include number theory, linear algebra and complex analysis. The first part of the book presents key theoretical elements required for a good understanding of the topic. The exposition moves on to to fundamental results and key examples of recurrences and their properties. The geometry of linear recurrences in the complex plane is presented in detail through numerous diagrams, which lead to often unexpected connections to combinatorics, number theory, integer sequences, and random number generation. The second part of the book presents a collection of 123 problems with full solutions, illustrating the wide range of topics where recurrent sequences can be found. This material is ideal for consolidating the theoretical knowledge and for preparing students for Olympiads.

Supervised Sequence Labelling with Recurrent Neural Networks

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Publisher : Springer
ISBN 13 : 3642247970
Total Pages : 148 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Supervised Sequence Labelling with Recurrent Neural Networks by : Alex Graves

Download or read book Supervised Sequence Labelling with Recurrent Neural Networks written by Alex Graves and published by Springer. This book was released on 2012-02-06 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supervised sequence labelling is a vital area of machine learning, encompassing tasks such as speech, handwriting and gesture recognition, protein secondary structure prediction and part-of-speech tagging. Recurrent neural networks are powerful sequence learning tools—robust to input noise and distortion, able to exploit long-range contextual information—that would seem ideally suited to such problems. However their role in large-scale sequence labelling systems has so far been auxiliary. The goal of this book is a complete framework for classifying and transcribing sequential data with recurrent neural networks only. Three main innovations are introduced in order to realise this goal. Firstly, the connectionist temporal classification output layer allows the framework to be trained with unsegmented target sequences, such as phoneme-level speech transcriptions; this is in contrast to previous connectionist approaches, which were dependent on error-prone prior segmentation. Secondly, multidimensional recurrent neural networks extend the framework in a natural way to data with more than one spatio-temporal dimension, such as images and videos. Thirdly, the use of hierarchical subsampling makes it feasible to apply the framework to very large or high resolution sequences, such as raw audio or video. Experimental validation is provided by state-of-the-art results in speech and handwriting recognition.

Recurrence Sequences

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 338 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recurrence Sequences by : Graham Everest

Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.

Social Sequence Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1316368866
Total Pages : 339 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Social Sequence Analysis by : Benjamin Cornwell

Download or read book Social Sequence Analysis written by Benjamin Cornwell and published by Cambridge University Press. This book was released on 2015-08-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social sequence analysis includes a diverse and rapidly growing body of methods that social scientists have developed to help study complex ordered social processes, including chains of transitions, trajectories and other ordered phenomena. Social sequence analysis is not limited by content or time scale and can be used in many different fields, including sociology, communication, information science and psychology. Social Sequence Analysis aims to bring together both foundational and recent theoretical and methodological work on social sequences from the last thirty years. A unique reference book for a new generation of social scientists, this book will aid demographers who study life-course trajectories and family histories, sociologists who study career paths or work/family schedules, communication scholars and micro-sociologists who study conversation, interaction structures and small-group dynamics, as well as social epidemiologists.

Library of Congress Subject Headings

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Publisher :
ISBN 13 :
Total Pages : 1662 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office

Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2004 with total page 1662 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Subject Headings

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Publisher :
ISBN 13 :
Total Pages : 1512 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2007 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cryptography and Coding

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540606932
Total Pages : 308 pages
Book Rating : 4.6/5 (69 download)

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Book Synopsis Cryptography and Coding by : Colin Boyd

Download or read book Cryptography and Coding written by Colin Boyd and published by Springer Science & Business Media. This book was released on 1995-12 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a formal and systematic exposition of the main results on the existence and optimality of equilibria in economies with increasing returns to scale. For that, a general equilibrium model is carefully constructed first by means of a precise formalization of consumers and firms, and the proof of an abstract existence result. The analysis shifts then to the study of specific normative and positive models which are particularizations the general one, and to the study of the efficiency of equilibrium allocations. The book provides an unified approach of the topic, it maintains a relatively low mathematical complexity and offers a highly self-contained exposition.

Spoken Corpora in Applied Linguistics

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Publisher : Peter Lang
ISBN 13 : 9783039112753
Total Pages : 288 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Spoken Corpora in Applied Linguistics by : Mari Carmen Campoy

Download or read book Spoken Corpora in Applied Linguistics written by Mari Carmen Campoy and published by Peter Lang. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the opportunities that spoken corpora offer and the challenges of research with such corpora. The use and applications of spoken corpora are discussed from the perspective of both language analysis and language pedagogy. Twelve chapters written by corpus linguists analyse an extensive number of spoken corpora based on the oral production of speakers as varied as language learners, users of English as Lingua Franca, native speakers, or speakers of English in academic contexts. This book also highlights the growing emphasis on the use of corpus-based research by examining the implications of corpus findings in educational settings.

Anglistics in Lithuania

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443853852
Total Pages : 284 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Anglistics in Lithuania by : Jonė Grigaliūnienė

Download or read book Anglistics in Lithuania written by Jonė Grigaliūnienė and published by Cambridge Scholars Publishing. This book was released on 2013-11-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers offers diverse yet highly professional accounts of multiple cross-linguistic and cross-cultural aspects of English studies in Lithuania. It is valuable for the wide variety of empirical data presented, for the insights into both English and Lithuanian, which, when studied individually, sometimes cannot escape a narrower treatment. Most of the essays in this volume deal with semantics, pragmatics and grammar, while others focus on phonetics and language pedagogy. The collection is also notable for its use of various different methodologies, including triple CL – corpus linguistic, cognitive linguistic and contrastive linguistic – principles of investigation. A particular strength of the book is its focus on the contrastive aspect of study. Further, many of the contributions included here have profound implications for both translation and teaching.

Uniform Distribution of Sequences of Integers in Residue Classes

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Publisher : Springer
ISBN 13 : 3540390634
Total Pages : 133 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Uniform Distribution of Sequences of Integers in Residue Classes by : W. Narkiewicz

Download or read book Uniform Distribution of Sequences of Integers in Residue Classes written by W. Narkiewicz and published by Springer. This book was released on 2006-12-08 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Mathematics

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)

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Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Substitutions in Dynamics, Arithmetics and Combinatorics

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Publisher : Springer
ISBN 13 : 3540457143
Total Pages : 411 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Substitutions in Dynamics, Arithmetics and Combinatorics by : N. Pytheas Fogg

Download or read book Substitutions in Dynamics, Arithmetics and Combinatorics written by N. Pytheas Fogg and published by Springer. This book was released on 2003-10-24 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.

Recursion Sequences

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Recursion Sequences by : Alekseĭ Ivanovich Markushevich

Download or read book Recursion Sequences written by Alekseĭ Ivanovich Markushevich and published by . This book was released on 1975 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792346326
Total Pages : 524 pages
Book Rating : 4.3/5 (463 download)

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Book Synopsis Asymptotic Behaviour of Linearly Transformed Sums of Random Variables by : V.V. Buldygin

Download or read book Asymptotic Behaviour of Linearly Transformed Sums of Random Variables written by V.V. Buldygin and published by Springer Science & Business Media. This book was released on 1997-06-30 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Limit theorems for random sequences may conventionally be divided into two large parts, one of them dealing with convergence of distributions (weak limit theorems) and the other, with almost sure convergence, that is to say, with asymptotic prop erties of almost all sample paths of the sequences involved (strong limit theorems). Although either of these directions is closely related to another one, each of them has its own range of specific problems, as well as the own methodology for solving the underlying problems. This book is devoted to the second of the above mentioned lines, which means that we study asymptotic behaviour of almost all sample paths of linearly transformed sums of independent random variables, vectors, and elements taking values in topological vector spaces. In the classical works of P.Levy, A.Ya.Khintchine, A.N.Kolmogorov, P.Hartman, A.Wintner, W.Feller, Yu.V.Prokhorov, and M.Loeve, the theory of almost sure asymptotic behaviour of increasing scalar-normed sums of independent random vari ables was constructed. This theory not only provides conditions of the almost sure convergence of series of independent random variables, but also studies different ver sions of the strong law of large numbers and the law of the iterated logarithm. One should point out that, even in this traditional framework, there are still problems which remain open, while many definitive results have been obtained quite recently.

Abstract Algebra with Applications

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Publisher : Cambridge University Press
ISBN 13 : 1316730530
Total Pages : 332 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Abstract Algebra with Applications by : Audrey Terras

Download or read book Abstract Algebra with Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 2018-12-20 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

Process Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 3642601200
Total Pages : 570 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Process Modelling by : Bernd Scholz-Reiter

Download or read book Process Modelling written by Bernd Scholz-Reiter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: A process model is very often used for system analysis, design and management in various application areas. Using a process model has the advantage that it has only to be as precise as necessary within the parameters of the individual field of application, whereas the precision externally is less important. This makes process modeling easier and open for structuring. The contributions deal with different approaches to process modelling, especially in the areas of business process modelling, logistics and production processes and water systems.

Spread Spectrum and CDMA

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Publisher : John Wiley & Sons
ISBN 13 : 9780470091784
Total Pages : 400 pages
Book Rating : 4.0/5 (917 download)

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Book Synopsis Spread Spectrum and CDMA by : Valeri P. Ipatov

Download or read book Spread Spectrum and CDMA written by Valeri P. Ipatov and published by John Wiley & Sons. This book was released on 2005-05-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spread spectrum and CDMA are cutting-edge technologies widely used in operational radar, navigation and telecommunication systems and play a pivotal role in the development of the forthcoming generations of systems and networks. This comprehensive resource presents the spread spectrum concept as a product of the advancements in wireless IT, shows how and when the classical problems of signal transmission/processing stimulate the application of spread spectrum, and clarifies the advantages of spread spectrum philosophy. Detailed coverage is provided of the tools and instruments for designing spread spectrum and CDMA signals answering why a designer will prefer one solution over another. The approach adopted is wide-ranging, covering issues that apply to both data transmission and data collection systems such as telecommunications, radar, and navigation. Presents a theory-based analysis complemented by practical examples and real world case studies resulting in a self-sufficient treatment of the subject Contains detailed discussions of new trends in spread spectrum technology such as multi-user reception, multicarrier modulation, OFDM, MIMO and space-time coding Provides advice on designing discrete spread spectrum signals and signal sets for time-frequency measuring, synchronization and multi-user communications Features numerous Matlab-based problems and other exercises to encourage the reader to initiate independent investigations and simulations This valuable text provides timely guidance on the current status and future potential of spread spectrum and CDMA and is an invaluable resource for senior undergraduates and postgraduate students, lecturers and practising engineers and researchers involved in the deployment and development of spread spectrum and CDMA technology. Supported by a Companion website on which instructors and lecturers can find a solutions manual for the problems and Matlab programming, electronic versions of some of the figures and other useful resources such as a list of abbreviations.