The volume contains articles that focus on the interface between linguistic and conceptual knowledge. The issues addressed in the volume include the preconditions of every level of the language system that are required for the transformation of linguistic information into conceptual representations. In accordance with Chomsky’s Minimalist language model, the language system is embedded into the performative systems where language is a part of the cognitive competence of human beings, i.e. system of articulation and perception (A/P) and the conceptual-intentional system (C/I). During the formation of linguistic structures, every performative system obtains well-formed representations as its input information. The articles of the volume show how interface conditions determine the linguistic representations on each level of the linguistic system. Interface conditions result in requirements for the ordering of linguistic elements. The syntactic transformation achieves a point, where the linguistic structure formation branches to two distinct representational levels. Both levels deliver instructions for the systems of performance A/P and C/I. Linearization takes place on the syntactic surface of a sentence. The linearization of linguistic elements is manifest at the derivational point of Spell-out and also on the level of the phonological form (PF). This means that on the one hand, linearization is relevant to the phonetic aspect of linguistic expressions, and on the other hand, the interpretation of linguistic utterances is based on hierarchical structures. On the level of Logical Form (LF) all operations apply which don’t have any influence on the linear order in overt syntax. In addition they affect the generation of hierarchical structures. The structure obtained on LF is the representational format of the semantic form of a sentence.

Human language is a phenomenon of immense richness: It provides finely nuanced means of expression that underlie the formation of culture and society; it is subject to subtle, unexpected constraints like syntactic islands and cross-over phenomena; different mutually-unintelligeable individual languages are numerous; and the descriptions of individual languages occupy thousands of pages. Recent work in linguistics, however, has tried to argue that despite all appearances to the contrary, the human biological capacity for language may be reducible to a small inventory of core cognitive competencies. The most radical version of this view has emerged from the Minimalist Program: The claim that language consists of only the ability to generate recursive structures by a computational mechanism. On this view, all other properties of language must result from the interaction at the interfaces of that mechanism and other mental systems not exclusively devoted to language. Since language could then be described as the simplest recursive system satisfying the requirements of the interfaces, one can speak of the Minimalist Equation: Interfaces + Recursion = Language. The question whether all the richness of language can be reduced to that minimalist equation has already inspired several fruitful lines of research that led to important new results. While a full assessment of the minimalist equation will require evidence from many different areas of inquiry, this volume focuses especially on the perspective of syntax and semantics. Within the minimalist architecture, this places our concern with the core computational mechanism and the (LF-)interface where recursive structures are fed to interpretation. Specific questions that the papers address are: What kind of recursive structures can the core generator form? How can we determine what the simplest recursive system is? How can properties of language that used to be ascribed to the recursive generator be reduced to interface properties? What effects do syntactic operations have on semantic interpretation? To what extent do models of semantic interpretation support the LF-interface conditions postulated by minimalist syntax?

This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.

Focusing on the basic theory required to solve practical problems, this book provides 212 problems, and solutions, which cover a wide range of issues, including least-squares methods, choosing velocities for various situations, z-transforms, determining 2D and 3D field geometries, and solving processing and interpretation problems.

This book approaches the concept of boundary, central in linguistic theory, and the related notion of phase from the perspective of the interaction between syntax and its interfaces. A primary notion is that phases are the appropriate domains to explain most interface linguistic phenomena and that the study of (narrow) interfaces helps to understand conditions on the internal structure of the Language Faculty. The first part of this volume is dedicated to introducing the notion of boundary, cycle and phase, and also the current debates regarding internal interfaces, in particular, the syntax-phonology, syntax-semantics, syntax-discourse, syntax-morphology and syntax-lexicon interfaces, in order to show how the notion of boundary/phase is related to (or even determines) most of their characteristics. The four sections of the second part deal with (morpho)phonology/ syntax and the role or boundaries/phases; the syntax-discourse and syntax-semantics interface; and the lexicon-syntax interface, while the notion of boundary/phase cross-cuts the main topics addressed.

Physics and Chemistry of Interfaces Comprehensive textbook on the interdisciplinary field of interface science, fully updated with new content on wetting, spectroscopy, and coatings Physics and Chemistry of Interfaces provides a comprehensive introduction to the field of surface and interface science, focusing on essential concepts rather than specific details, and on intuitive understanding rather than convoluted math. Numerous high-end applications from surface technology, biotechnology, and microelectronics are included to illustrate and help readers easily comprehend basic concepts. The new edition contains an increased number of problems with detailed, worked solutions, making it ideal as a self-study resource. In topic coverage, the highly qualified authors take a balanced approach, discussing advanced interface phenomena in detail while remaining comprehensible. Chapter summaries with the most important equations, facts, and phenomena are included to aid the reader in information retention. A few of the sample topics included in Physics and Chemistry of Interfaces are as follows: Liquid surfaces, covering microscopic picture of a liquid surface, surface tension, the equation of Young and Laplace, and curved liquid surfaces Thermodynamics of interfaces, covering surface excess, internal energy and Helmholtz energy, equilibrium conditions, and interfacial excess energies Charged interfaces and the electric double layer, covering planar surfaces, the Grahame equation, and limitations of the Poisson-Boltzmann theory Surface forces, covering Van der Waals forces between molecules, macroscopic calculations, the Derjaguin approximation, and disjoining pressure Physics and Chemistry of Interfaces is a complete reference on the subject, aimed at advanced students (and their instructors) in physics, material science, chemistry, and engineering. Researchers requiring background knowledge on surface and interface science will also benefit from the accessible yet in-depth coverage of the text.

The architecture of the human language faculty has been one of the main foci of the linguistic research of the last half century. This branch of linguistics, broadly known as Generative Grammar, is concerned with the formulation of explanatory formal accounts of linguistic phenomena with the ulterior goal of gaining insight into the properties of the 'language organ'. The series comprises high quality monographs and collected volumes that address such issues. The topics in this series range from phonology to semantics, from syntax to information structure, from mathematical linguistics to studies of the lexicon.