The Representation of (in)definiteness

The Representation of (in)definiteness
Author :
Publisher : MIT Press
Total Pages : 374
Release :
ISBN-10 : 0262181266
ISBN-13 : 9780262181266
Rating : 4/5 (66 Downloads)

Synopsis The Representation of (in)definiteness by : Eric J. Reuland

The Representation of(In)definiteness collects the most important current research, reflecting a wide range of approaches, on a central theoretical issue in linguistics: characterizing the distinction between definite and indefinite expressions. The authors of these 11 original essays, which draw on current work in theoretical syntax and semantics, were charged by the editors to take more than usual heed of alternative analyses offered by other theories, thereby promoting cross fertilization of syntactic and semantic ideas, concepts, and argumentation. The project as a whole is grounded in the belief that explicit comparison of seemingly incompatible approaches is essential to improve our understanding of the nature and structure of natural language. Eric J. Reuland and Alice ter Meulen are Professors of Linguistics at the Rijksuniversiteit Groningen and the University of Washington respectively. The Representation of (In)definiteness is fourteenth in the series Current Studies in Linguistics, edited by Samuel Jay Keyser.

The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$

The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
Author :
Publisher : American Mathematical Soc.
Total Pages : 145
Release :
ISBN-10 : 9780821847572
ISBN-13 : 0821847570
Rating : 4/5 (72 Downloads)

Synopsis The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ by : Toshiyuki Kobayashi

The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.

The Rudiments of Practical Perspective, in which the Representation of Objects is Described by Two Easy Methods, One Depending on the Plan of the Object, the Other on Its Dimensions and Position ... Illustrated by 38 Plates, Etc

The Rudiments of Practical Perspective, in which the Representation of Objects is Described by Two Easy Methods, One Depending on the Plan of the Object, the Other on Its Dimensions and Position ... Illustrated by 38 Plates, Etc
Author :
Publisher :
Total Pages : 232
Release :
ISBN-10 : BL:A0024939547
ISBN-13 :
Rating : 4/5 (47 Downloads)

Synopsis The Rudiments of Practical Perspective, in which the Representation of Objects is Described by Two Easy Methods, One Depending on the Plan of the Object, the Other on Its Dimensions and Position ... Illustrated by 38 Plates, Etc by : Peter NICHOLSON (Builder and Mathematician.)

The Representation of Meaning in Memory (PLE: Memory)

The Representation of Meaning in Memory (PLE: Memory)
Author :
Publisher : Psychology Press
Total Pages : 285
Release :
ISBN-10 : 9781317744887
ISBN-13 : 1317744888
Rating : 4/5 (87 Downloads)

Synopsis The Representation of Meaning in Memory (PLE: Memory) by : Walter Kintsch

Originally published in 1974, this volume presents empirical and theoretical investigations of the role of meaning in psychological processes. A theory is proposed for the representation of the meaning of texts, employing ordered lists of propositions. The author explores the adequacy of this representation, with respect to the demands made upon such formulations by logicians and linguists. A sufficiently large number of problems are encompassed by the propositional theory to justify its use in psychological research into memory and language comprehension. A number of different experiments are reported on a wide variety of topics, and these test central portions of this theory, and any that purports to deal with how humans represent meaning. Among the topics discussed are the role of lexical decomposition in comprehension and memory, propositions as the units of recall, and the effects of the number of propositions in a text base upon reading rate and recall. New problems are explored, such as inferential processes during reading, differences in levels of memory for text, and retrieval speed for textual information. On the other hand, a study of retrieval from semantic memory focusses on a problem of much current research. The final review chapter relates the present work to other current research in the area at the time.

Author :
Publisher : IOS Press
Total Pages : 3525
Release :
ISBN-10 :
ISBN-13 :
Rating : 4/5 ( Downloads)

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An Indefinite Excursion in Operator Theory

An Indefinite Excursion in Operator Theory
Author :
Publisher : Cambridge University Press
Total Pages :
Release :
ISBN-10 : 9781108981279
ISBN-13 : 1108981275
Rating : 4/5 (79 Downloads)

Synopsis An Indefinite Excursion in Operator Theory by : Aurelian Gheondea

This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations
Author :
Publisher : Birkhäuser
Total Pages : 501
Release :
ISBN-10 : 9783319688497
ISBN-13 : 3319688499
Rating : 4/5 (97 Downloads)

Synopsis Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations by : Daniel Alpay

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.