The Octagonal PETs

The Octagonal PETs

Author: Richard Evan Schwartz

Publisher: American Mathematical Soc.

Published: 2014-07-03

Total Pages: 226

ISBN-13: 1470415224

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A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples, interval exchange transformations, have been studied fruitfully for many years and have deep connections to other areas of mathematics, such as Teichmüller theory. This book introduces a general method for constructing polytope exchange transformations in higher dimensions and then studies the simplest example of the construction in detail. The simplest case is a 1-parameter family of polygon exchange transformations that turns out to be closely related to outer billiards on semi-regular octagons. The 1-parameter family admits a complete renormalization scheme, and this structure allows for a fairly complete analysis both of the system and of outer billiards on semi-regular octagons. The material in this book was discovered through computer experimentation. On the other hand, the proofs are traditional, except for a few rigorous computer-assisted calculations.


A Study in Derived Algebraic Geometry

A Study in Derived Algebraic Geometry

Author: Dennis Gaitsgory

Publisher: American Mathematical Soc.

Published: 2017

Total Pages: 577

ISBN-13: 1470435691

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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a “renormalization” of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix. The first part is a survey of homotopical algebra in the setting of -categories and the basics of derived algebraic geometry. The second part builds the theory of ind-coherent sheaves as a functor out of the category of correspondences and studies the relationship between ind-coherent and quasi-coherent sheaves. The third part sets up the general machinery of the -category of correspondences needed for the second part. The category of correspondences, via the theory developed in the third part, provides a general framework for Grothendieck's six-functor formalism. The appendix provides the necessary background on -categories needed for the third part.


Good Dog 101

Good Dog 101

Author: Cristine Dahl

Publisher: Sasquatch Books

Published: 2011-01-04

Total Pages: 292

ISBN-13: 1570617627

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A revolutionary step-by-step manual for dog owners on how to humanely and easily train their pups to change problematic behaviors—from a SPCA-certified trainer Learn the humane way to change your dog's behavior, including problems like digging, jumping, peeing, pooping, stealing, chewing, begging, barking, and growling. In Good Dog 101, SPCA-certified author Cristine Dahl covers all aspects of training dogs, especially puppy training. The book is organized by individual problem scenarios where every sort of bad behavior is addressed, whether it's if the dog compulsively digs all around your garden or if it likes to steal your shoes or if it jumps on every guest the minute they walk in the door. For each problem scenario, Dahl explains the reasons for such behavior, and then gives simply phrased instructions on how to resolve it and alter the dog's behavior for future scenarios. Her methods are humane and simple—perfect for every dog owner.


Bill Nye and Boomerang

Bill Nye and Boomerang

Author: Bill Nye

Publisher: BoD – Books on Demand

Published: 2018-09-21

Total Pages: 310

ISBN-13: 3734049199

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Reproduction of the original: Bill Nye and Boomerang by Bill Nye


Cancer Imaging

Cancer Imaging

Author: M. A. Hayat

Publisher: Academic Press

Published: 2007-10-25

Total Pages: 655

ISBN-13: 0080553656

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With cancer-related deaths projected to rise to 10.3 million people by 2020, the need to prevent, diagnose, and cure cancer is greater than ever. Cancer Imaging presents readers with the most up-to-date imaging instrumentation, general and diagnostic applications for various cancers, with an emphasis on lung and breast carcinomas--the two major worldwide malignancy types. This book discusses the various imaging techniques used to locate and diagnose tumors, including ultrasound, X-ray, color Doppler sonography, PET, CT, PET/CT, MRI, SPECT, diffusion tensor imaging, dynamic infrared imaging, and magnetic resonance spectroscopy. It also details strategies for imaging cancer, emphasizing the importance of the use of this technology for clinical diagnosis. Imaging techniques that predict the malignant potential of cancers, response to chemotherapy and other treatments, recurrence, and prognosis are also detailed. - Concentrates on the application of imaging technology to the diagnosis and prognosis of lung and breast carcinomas, the two major worldwide malignancies - Addresses the relationship between radiation dose and image quality - Discusses the role of molecular imaging in identifying changes for the emergence and progression of cancer at the cellular and/or molecular levels


Wildlife Tourism, Environmental Learning and Ethical Encounters

Wildlife Tourism, Environmental Learning and Ethical Encounters

Author: Ismar Borges de Lima

Publisher: Springer

Published: 2017-06-13

Total Pages: 293

ISBN-13: 331955574X

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This book outlines the status quo of worldwide wildlife tourism and its impacts on planning, management, knowledge, awareness, behaviour and attitudes related to wildlife encounters. It sets out to fill the considerable gaps in our knowledge on wildlife tourism, applied ecology, and environmental education, providing comprehensive information on and an interdisciplinary approach to effective management in wildlife tourism. Examining the intricacies, challenges, and lessons learned in a meaningful and rewarding tourism niche, this interdisciplinary book comprehensively examines the major potentials and controversies in the wildlife tourism industry. Pursuing an insightful, provocative and hands-on approach, it primarily addresses two questions: ‘Can we reconcile the needs of the wildlife tourism industry, biodiversity conservation, ecological learning and animal ethics issues?’ and ‘What is the Future of the Wildlife Tourism Industry?’. Though primaril y intended as a research text, it also offers a valuable resource for a broad readership, which includes university and training students, researchers, scholars, tourism practitioners and professionals, planners and managers, as well as the staff of government agencies.