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Bounded Meaning investigates the dynamics of interpretation: how and why the interpretation of the building blocks of human language is sensitive, not just to the context in which the expression is used, but also to the expression's linguistic environment—in other words, how and why interpretation depends not just on global information, but also on local information. Matthew Mandelkern motivates a range of generalizations about the dynamics of interpretation, some known and some novel, involving modals, conditionals, and anaphora, and an overview of the best extant theory of those patterns, dynamic semantics, is provided. After bringing out the striking motivations and successes of that framework, the discussion turns to criticisms of dynamic semantics, focusing on its puzzling predictions about the logic of natural language. In response to these problems, Mandelkern develops a novel framework for explaining dynamic phenomena without dynamic semantics: the bounded theory of meaning. On the bounded theory, dynamic phenomena arise from the interaction of two dimensions of meaning. One dimension is a standard truth-conditional layer, which, relative to a context of use, associates each sentence with a proposition. The second dimension, the dimension of bounds, limits the admissible interpretations of an expression, relative to the expression's context of use and its local information. Bounds thus play an essential role in coordinating on the resolution of context-sensitive language, explaining dynamic effects in natural language while avoiding a variety of problematic predictions of dynamic semantics.
This third novel in the Hardie series sees Grace Hardie choosing to stay out if the marriage race. Instead, she devotes her time to her work as a sculptor, living in Greystones, the mansion she has inherited but can no longer afford to maintain in the style it deserves. Her mother and brother are the only companions in her narrow existence. Then, one summer day in 1932, four uninvited guests arrive from the outside world. Lord Rupert Beverley has discovered that the Hardies are linked to his family by marriage. Andy Frith, the gardener's son who was Grace's childhood sweetheart, returns from France to see his dying father. Ellis Faraday, the son of the architect who designed Greystones, calls for permission to photograph his father's first major work. And with him he brings Trish, his charming young daughter. The arrival of the four together will change Grace's life for unexpected happiness, wealth and fulfilment follow. But so too do family squabbles and difficult decisions about who is to become the Greystones heir. The Hardie Inheritance, the last instalment in the Hardie series was first published in 1990.
Discussions of race are inevitably fraught with tension, both in opinion and positioning. Too frequently, debates are framed as clear points of opposition—us versus them. And when considering white racial identity, a split between progressive movements and a neoconservative backlash is all too frequently assumed. Taken at face value, it would seem that whites are splintering into antagonistic groups, with differing worldviews, values, and ideological stances. White Bound investigates these dividing lines, questioning the very notion of a fracturing whiteness, and in so doing offers a unique view of white racial identity. Matthew Hughey spent over a year attending the meetings, reading the literature, and interviewing members of two white organizations—a white nationalist group and a white antiracist group. Though he found immediate political differences, he observed surprising similarities. Both groups make meaning of whiteness through a reliance on similar racist and reactionary stories and worldviews. On the whole, this book puts abstract beliefs and theoretical projection about the supposed fracturing of whiteness into relief against the realities of two groups never before directly compared with this much breadth and depth. By examining the similarities and differences between seemingly antithetical white groups, we see not just the many ways of being white, but how these actors make meaning of whiteness in ways that collectively reproduce both white identity and, ultimately, white supremacy.
This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.
"Domain-Driven Design" incorporates numerous examples in Java-case studies taken from actual projects that illustrate the application of domain-driven design to real-world software development.
The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.
This book covers the following topics: Mathematical Philosophy; Mathematical Logic; the Structure of Number Sets and the Theory of Real Numbers, Arithmetic and Axiomatic Number Theory, and Algebra (including the study of Sequences and Series); Matrices and Applications in Input-Output Analysis and Linear Programming; Probability and Statistics; Classical Euclidean Geometry, Analytic Geometry, and Trigonometry; Vectors, Vector Spaces, Normed Vector Spaces, and Metric Spaces; basic principles of non-Euclidean Geometries and Metric Geometry; Infinitesimal Calculus and basic Topology (Functions, Limits, Continuity, Topological Structures, Homeomorphisms, Differentiation, and Integration, including Multivariable Calculus and Vector Calculus); Complex Numbers and Complex Analysis; basic principles of Ordinary Differential Equations; as well as mathematical methods and mathematical modeling in the natural sciences (including physics, engineering, biology, and neuroscience) and in the social sciences (including economics, management, strategic studies, and warfare problems).
This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.
This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-preserving discretizations. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics. This book is written by specialists working together on a common research project. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. The interaction of these facets is demonstrated by concrete examples, including discrete conformal mappings, discrete complex analysis, discrete curvatures and special surfaces, discrete integrable systems, conformal texture mappings in computer graphics, and free-form architecture. This richly illustrated book will convince readers that this new branch of mathematics is both beautiful and useful. It will appeal to graduate students and researchers in differential geometry, complex analysis, mathematical physics, numerical methods, discrete geometry, as well as computer graphics and geometry processing.
Late Medieval and Renaissance art was surprisingly pushy; its architecture demanded that people move through it in prescribed patterns, its sculptures played elaborate games alternating between concealment and revelation, while its paintings charged viewers with imaginatively moving through them. Viewers wanted to interact with artwork in emotional and/or performative ways. This inventive and personal interface between viewers and artists sometimes conflicted with the Church’s prescribed devotional models, and in some cases it complemented them. Artists and patrons responded to the desire for both spontaneous and sanctioned interactions by creating original ways to amplify devotional experiences. The authors included here study the provocation and the reactions associated with medieval and Renaissance art and architecture. These essays trace the impetus towards interactivity from the points of view of their creators and those who used them. Contributors include: Mickey Abel, Alfred Acres, Kathleen Ashley, Viola Belghaus, Sarah Blick, Erika Boeckeler, Robert L.A. Clark, Lloyd DeWitt, Michelle Erhardt, Megan H. Foster-Campbell, Juan Luis González García, Laura D. Gelfand, Elina Gertsman, Walter S. Gibson, Margaret Goehring, Lex Hermans, Fredrika Jacobs, Annette LeZotte, Jane C. Long, Henry Luttikhuizen, Elizabeth Monroe, Scott B. Montgomery, Amy M. Morris, Vibeke Olson, Katherine Poole, Alexa Sand, Donna L. Sadler, Pamela Sheingorn, Suzanne Karr Schmidt, Anne Rudloff Stanton, Janet Snyder, Rita Tekippe, Mark Trowbridge, Mark S. Tucker, Kristen Van Ausdall, Susan Ward.