The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.
The role deixis plays in structuring language and its relation to the context of utterance provides the focus for an examination of information packaging in Russian discourse. The analysis is based on a model which interprets discourse as constituted by four interrelated frameworks — the linguistic text, the text setting, the text content, and the participant framework. Deixis is divided into three primary dimensions of time, space, and person, which are metaphorically extended to secondary dimensions of information status (knowledge, focus, and theme). The linguistic devices which function in these dimensions encode information status by serving one or more communicative functions, including the presentative, directive, identifying, informing, acknowledging, and expressive functions. Discourse markers and deictics provide links between the content of the message, the linguistic text itself, and the context in which the message is produced. They introduce new participants, signal changes in thematic structure, bracket topical units, and mark the relative status of information. The book is written with both descriptive and theoretical goals. It aims to synthesize and revise current approaches to deixis and information packaging to account for the Russian data. The analysis extends beyond primary deixis to include knowledge structures and sources of knowledge, as well as the metalinguistic devices which signal changes in information flow, and grounding and saliency relations.
This book gives readers critical insights into the human impact of extreme trauma, and the various levels of mental impairment suffered by both victims and survivors. Renowned trauma experts William Dorfman and Lenore Walker give this book immediate relevance through the use of real-life examples from a wide range of crisis situations. They have also deliberately minimized research citations within the text for greater readability.
The first book in a hilarious chapter book series that tackles anxiety in a fun, kid-friendly way. Perfect for both beginning and reluctant readers, and fans of Diary of a Wimpy Kid! A humorous and touching series about facing your fears and embracing new experiences—with a truly unforgettable character—from author Lenore Look and New York Times bestselling and Caldecott Honor winning illustrator LeUyen Pham. Alvin, an Asian American second grader, is afraid of everything—elevators, tunnels, girls, and, most of all, school. He’s so afraid of school that, while he’ s there, he never, ever, says a word. But at home, Alvin is a very loud superhero named Firecracker Man, a brother to Calvin and Anibelly, and a gentleman-in-training, just like his dad. With the help of his family, can Alvin take on the outside world without letting his fears get the best of him? “Alvin’s a winner.” —New York Post
This is a biography of Forbes Watson, art commentator for the New York Evening Post and New York World but probably best known as the editor of The Arts, an influential art magazine of the 1920s.
The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.
When adults think about recreation, they all too often focus on regimented workouts at the gym or a weekend at luxury spa. In this insightful new book Dr. Lenore Terr demonstrates that adults can clear their minds, recapture the optimism of youth and measurably improve the psychological quality of their adult lives by learning to play with the abandon they experienced as children. Terr points out the links between childhood games and adult activities and explains how play can become a natural part of everyday life. In an easy-going, fully accessible style, BEYOND LOVE AND WORK gives readers an exciting new perspective on the game of life and an unique "play-book" that will help them come out winners.
LifeLessons: Gratitude is a collection of words and inspirations to help us build a life in balance, a life with perspective. Drawing from many traditions, the words within resonate with simple truths. Boxed set includes inspirational book and 6 greeting cards.
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