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This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.

Algebra. --- Computer science. --- Mathematics. --- General Algebraic Systems. --- Mathematical Logic and Formal Languages. --- Information and Communication, Circuits. --- Rough sets. --- Rough set theory --- Theory of rough sets --- Set theory --- Math --- Science --- Informatics --- Mathematics --- Mathematical analysis --- Mathematical logic. --- Information theory. --- Communication theory --- Communication --- Cybernetics --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism

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Southeast Asia --- South Asia

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This book describes the different aspects of aortic valve and root diseases including comprehensive discussion of the state-of-the-art diagnostic imaging options, disease risk stratification, selection of candidates for valve repair or percutaneous intervention, and most recent therapeutic options. The growing prevalence of valvular heart disease represents a major challenge in terms of short- and long-term management and surveillance. Aortic valve diseases, including aortic stenosis and regurgitation, are among the most frequent of these, while the number of cases of aortic root disease is also on the rise. Aortic valve disease treatment options include valve surgery, valve repair, minimally invasive valve surgery, and percutaneous approaches and all are covered in this volume. Advances in Treatments for Aortic Valve and Root Diseases is a highly illustrated, case oriented reference aimed at cardiology fellows in training, while also helpful to surgeons, cardiologists, imagers, interventionalists, as well as other clinicians and students involved in the diagnosis and treatment of aortic valve and root diseases.

Aortic valve --- Diseases. --- Medicine. --- Cardiac imaging. --- Cardiology. --- Cardiac surgery. --- Medicine & Public Health. --- Cardiac Surgery. --- Cardiac Imaging. --- Cardiac surgery --- Heart --- Open-heart surgery --- Internal medicine --- Cardiac diagnostic imaging --- Cardiac imaging --- Diagnostic cardiac imaging --- Imaging of the heart --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Diseases --- Surgery --- Imaging --- Surgery.

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This book takes stock of the results of some two decades of intensive archaeological research carried out on both sides of the Bay of Bengal, in combination with renewed approaches to textual sources and to art history. To improve our understanding of the trans-cultural process commonly referred to as Indianisation, it brings together specialists of both India and Southeast Asia, in a fertile inter-disciplinary confrontation. Most of the essays reappraise the millennium-long historiographic no-man's land during which exchanges between the two shores of the Bay of Bengal led, among other processes, to the Indianisation of those parts of the region that straddled the main routes of exchange. Some essays follow up these processes into better known "classical" times or even into modern times, showing that the localisation process of Indian themes has long remained at work, allowing local societies to produce their own social space and express their own ethos.

HISTORY / Asia / India & South Asia. --- South Asia --- Southeast Asia --- Asia, Southeast --- Asia, Southeastern --- South East Asia --- Southeastern Asia --- Asia, South --- Asia, Southern --- Indian Sub-continent --- Indian Subcontinent --- Southern Asia --- Orient --- Relations --- Civilization --- Indic influences