Projections and Interface Conditions
Projections and Interface Conditions

Author: Anna-Maria Di Sciullo

Publisher: Oxford University Press

Published: 1997-06-12

Total Pages: 270

ISBN-13: 0195355881

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This collection of previously unpublished papers explores the implications of Chomsky's "Minimalist" framework for the modularity of grammar, which simplifies the "modular" approach he took in his Government and Binding theory of grammar. According to this theory autonomous grammatical components (phonological, syntactic, morphological, and semantic) coexist and interact like building blocks, using a given set of principles at given levels of representation. Chomsky's assertions have sparked a great deal of theoretical debate, especially with regard to the nature and interaction of each of the building blocks. The contributors to this volume join the debate in a series of case studies that compare modularity in English, French, and Italian, among other languages. In the process they address such issues as the autonomy and applications of modules and their distribution in theory, as well as the role of functional projects in their derivations. Projections and Interface Conditions will interest researchers in any of the above mentioned languages, as well as the large number of linguists working in the Chomskyan tradition.

Boundary Value Problems with Global Projection Conditions
Boundary Value Problems with Global Projection Conditions

Author: Xiaochun Liu

Publisher: Birkhäuser

Published: 2018-10-30

Total Pages: 421

ISBN-13: 3319701142

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This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.

Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries

Author: Francis Nier

Publisher: American Mathematical Soc.

Published: 2018-03-19

Total Pages: 156

ISBN-13: 1470428024

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This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.

Discourse-Related Features and Functional Projections
Discourse-Related Features and Functional Projections

Author: Silvio Cruschina

Publisher: Oxford University Press

Published: 2012-01-13

Total Pages: 268

ISBN-13: 0199877262

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In this volume Silvio Cruschina uses a comparative analysis to determine the syntax of the functional projections associated with discourse-related features, and to account for the marked word orders found in Romance-particularly in the fronting phenomena. Several language-specific analyses of discourse-related phenomena have been proposed in the literature, including studies on the notions of topic and focus in Romance, but the lack of a uniform definition of these notions, together with different assumptions in relation to the triggering features, has led to the perception that the Romance languages show many distinct and heterogeneous properties with respect to dislocation and fronting constructions. This volume is intended to complement the existing literature by integrating recent work on the topic and by emphasizing original and unifying reflections that combine and coordinate diverse elements. Cruschina's investigations clarify fundamental notions such as topic, focus, and contrast, drawing on new data from Sicilian, Sardinian, and other Romance varieties.

Domain Science and Engineering
Domain Science and Engineering

Author: Dines Bjørner

Publisher: Springer Nature

Published: 2021-11-08

Total Pages: 401

ISBN-13: 3030734846

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In this book the author explains domain engineering and the underlying science, and he then shows how we can derive requirements prescriptions for computing systems from domain descriptions. A further motivation is to present domain descriptions, requirements prescriptions, and software design specifications as mathematical quantities. The author's maxim is that before software can be designed we must understand its requirements, and before requirements can be prescribed we must analyse and describe the domain for which the software is intended. He does this by focusing on what it takes to analyse and describe domains. By a domain we understand a rationally describable discrete dynamics segment of human activity, of natural and man-made artefacts, examples include road, rail and air transport, container terminal ports, manufacturing, trade, healthcare, and urban planning. The book addresses issues of seemingly large systems, not small algorithms, and it emphasizes descriptions as formal, mathematical quantities. This is the first thorough monograph treatment of the new software engineering phase of software development, one that precedes requirements engineering. It emphasizes a methodological approach by treating, in depth, analysis and description principles, techniques and tools. It does this by basing its domain modeling on fundamental philosophical principles, a view that is new for a computer science monograph. The book will be of value to computer scientists engaged with formal specifications of software. The author reveals this as a field of interesting problems, most chapters include pointers to further study and exercises drawn from practical engineering and science challenges. The text is supported by a primer to the formal specification language RSL and extensive indexes.

The Enterprise Architecture Sourcebook
The Enterprise Architecture Sourcebook

Author: Charles Babers

Publisher: Lulu.com

Published: 2006-07-01

Total Pages: 634

ISBN-13: 1847289258

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This sourcebook addresses a critical shortcoming in the body of architecture related guidance and instructions available to the architecture community-the lack of a single, comprehensive document that describes how to execute an enterprise architecture project from conception to completion and through post-development maintenance. It provides the basic description of an end-to-end architecture process that will help users greatly shorten the time required to master the art and science of becoming an expert enterprise architect.

Elliptic Boundary Problems for Dirac Operators
Elliptic Boundary Problems for Dirac Operators

Author: Bernhelm Booß-Bavnbek

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 322

ISBN-13: 1461203376

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Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.