On Linearization

Author : Guglielmo Cinque
Publisher : MIT Press
ISBN 13 : 0262544954
Total Pages : 221 pages
Book Rating : 4.55/5 ( download)

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Download or read book On Linearization written by Guglielmo Cinque and published by MIT Press. This book was released on 2023-03-07 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first attempt at a restrictive theory of the linear order of sentences and phrases of the world's languages, by one of the founders of cartographic syntax. Linearization, or the typical sequence of words in a sentence, varies tremendously from language to language. Why, for example, does the English phrase “a white table” need a different word order from the French phrase “une table blanche,” even though both refer to the same object? Guglielmo Cinque challenges the current understanding of word order variation, which assumes that word order can be dealt with simply by putting a head either before or after its complements and modifiers. The subtle variations in word order, he says, can provide a window into understanding the deeper structure of language and are in need of a sophisticated explanation. The bewildering variation in word order among the languages of the world, says Cinque, should not dissuade us from researching what, if anything, determines which orders are possible (and attested/attestable) and which orders are impossible (and not attested/nonattestable), both when they maximally conform to the “head-final” or “head-initial” types and when they depart from them to varying degrees. His aim is to develop a restrictive theory of word order variation—not just a way to derive the ideal head-initial and head-final word orders but also the mixed cases. In the absence of an explicit theory of linearization, Cinque provides a general approach to derive linear order from a hierarchical arrangement of constituents, specifically, by assuming a restrictive movement analysis that creates structures that can then be linearized by Richard S. Kayne's Linear Correspondence Axiom.

Author : Mark Elin
Publisher : Springer Science & Business Media
ISBN 13 : 3034605099
Total Pages : 271 pages
Book Rating : 4.90/5 ( download)

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Download or read book Linearization Models for Complex Dynamical Systems written by Mark Elin and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.

Author : Jairo Nunes
Publisher : MIT Press
ISBN 13 : 9780262263955
Total Pages : 220 pages
Book Rating : 4.55/5 ( download)

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Download or read book Linearization of Chains and Sideward Movement written by Jairo Nunes and published by MIT Press. This book was released on 2004-04-16 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly original monograph treats movement operations within the Minimalist Program. Jairo Nunes argues that traces are not grammatical primitives and that their properties follow from deeper features of the system, and, in particular, that the phonetic realization of traces is determined by linearization computations coupled with economy conditions regarding deletion. He proposes a version of the copy theory of movement according to which movement must be construed as a description of the interaction of the independent operations Copy, Merge, Form Chain, and Chain Reduction. Empirical evidence to support this claim includes instances of "sideward movement" between subtrees in a derivation. According to this analysis, the linearization of chains in the phonological component constrains sideward movement so that it is possible to account for standard properties of multiple gap constructions, including parasitic gap and ATB constructions, without construction-specific operations or principles that are not independently motivated. Theoretical linguists will find Linearization of Chains and Sideward Movement of great interest both theoretically and empirically. The version of the copy theory of movement proposed by Nunes will stir debate and shape future research in the field.

Author : Leslaw Socha
Publisher : Springer Science & Business Media
ISBN 13 : 3540729968
Total Pages : 392 pages
Book Rating : 4.69/5 ( download)

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Download or read book Linearization Methods for Stochastic Dynamic Systems written by Leslaw Socha and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.

Author : Leslaw Socha
Publisher : Springer
ISBN 13 : 3540729976
Total Pages : 392 pages
Book Rating : 4.76/5 ( download)

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Download or read book Linearization Methods for Stochastic Dynamic Systems written by Leslaw Socha and published by Springer. This book was released on 2007-11-30 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.

Author : Theresa Biberauer
Publisher : Walter de Gruyter
ISBN 13 : 1614512434
Total Pages : 388 pages
Book Rating : 4.31/5 ( download)

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Download or read book Challenges to Linearization written by Theresa Biberauer and published by Walter de Gruyter. This book was released on 2013-03-22 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ten contributions in this volume focus on a range of linearization challenges, all of which aim to shed new light on the central, still largely mysterious question of how the abundant evidence that linguistic structures are hierarchically organised can plausibly be reconciled with the fact that actually realised linguistic strings are typically sequentially ordered. Some of the contributions present particularly challenging data, those on the mixed spoken and signed output of bimodal Italian children, Quechua nominal morphology, Kannada reduplication and Taqbaylit of Chemini “floating prepositions” all being cases in point. Others have a typological focus, highlighting and attempting to explain striking patterns like the Final-over-Final Constraint or considering the predictions of particular theoretical approacesh (the movement theory of Control, multidominance, Distributed Morphology) in relation to structures that we do and don’t expect to be “possible linguistic structures”. Broader architectural questions also receive attention from various perspectives. This volume will be of interest to advanced students and researchers with interests in the externalisation of ling

Author : Jordanka Ivanova
Publisher : Springer Science & Business Media
ISBN 13 : 9780792375241
Total Pages : 262 pages
Book Rating : 4.46/5 ( download)

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Download or read book Geometric Method for Stability of Non-Linear Elastic Thin Shells written by Jordanka Ivanova and published by Springer Science & Business Media. This book was released on 2002 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ivanova (mechanics, Bulgarian Academy of Sciences) and Pastrone (mathematics, Universita di Torino) present this volume on the new developments and application of the geometric method to the nonlinear stability problem for thin non-elastic shells. The geometric method has been treated previously in the 1960s and 1980s in monographs by A. V. Pogorelov (Harkov, Ukraine) but written in Russian only, thus making his ideas inaccessible to much of the international scientific community. The current text requires a basic understanding of introductory surface theory, stability of shells, and partial differential equations. It is intended as a textbook for post-graduate students in structural engineering and applied mathematics, and as a reference for academic and industrial researchers. c. Book News Inc.

Author : Panos J. Antsaklis
Publisher : Springer Science & Business Media
ISBN 13 : 0817646612
Total Pages : 524 pages
Book Rating : 4.15/5 ( download)

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Download or read book A Linear Systems Primer written by Panos J. Antsaklis and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a streamlined presentation of the authors’ successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Initial chapters present necessary mathematical background material for a fundamental understanding of the dynamical behavior of systems. Each chapter includes helpful chapter descriptions and guidelines for the reader, as well as summaries, notes, references, and exercises at the end. The emphasis throughout is on time-invariant systems, both continuous- and discrete-time.

Author : Hong-Gi Lee
Publisher : Springer Nature
ISBN 13 : 9811936439
Total Pages : 591 pages
Book Rating : 4.32/5 ( download)

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Download or read book Linearization of Nonlinear Control Systems written by Hong-Gi Lee and published by Springer Nature. This book was released on 2022-09-02 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry needed in linearization are explained on the Euclidean space instead of the manifold for students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concentration and time. This book provides MATLAB programs for most of the theorems. The book also includes end-of-chapter problems and other pedagogical aids to help understanding and self study.

Author : Henk Nijmeijer
Publisher : Springer Science & Business Media
ISBN 13 : 1475721013
Total Pages : 427 pages
Book Rating : 4.10/5 ( download)

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Download or read book Nonlinear Dynamical Control Systems written by Henk Nijmeijer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.