This book provides a practically applicable guide on how to develop essential microsurgery skills and successfully perform a range of procedures. Emphasis is placed within each chapter on equipping the reader with the necessary information to enable them to develop a strong foundational knowledge of every technique covered with clear step-by-step guides on how to perform a range of methodologies. Helpful tips are provided on how to avoid common pitfalls and enhance skill acquisition. Accompanying video material also reinforces the key points detailed. Topics covered include how to develop skills utilizing the porcine model of flap harvesting along with the use of animal models for techniques such as vascular anastomoses, anesthesia, and exposure of relevant recipient vessels. Microsurgery Manual for Medical Students and Residents is a detailed resource on how to acquire core microsurgery skills, making it an ideal resource for medical students and trainees seeking a resource on how to further develop their skills.
World leading experts give their accounts of the modern mathematical models in the field: Markov Decision Processes, controlled diffusions, piece-wise deterministic processes etc, with a wide range of performance functionals. One of the aims is to give a general view on the state-of-the-art. The authors use Dynamic Programming, Convex Analytic Approach, several numerical methods, index-based approach and so on. Most chapters either contain well developed examples, or are entirely devoted to the application of the mathematical control theory to real life problems from such fields as Insurance, Portfolio Optimization and Information Transmission. The book will enable researchers, academics and research students to get a sense of novel results, concepts, models, methods, and applications of controlled stochastic processes.
This invaluable book provides approximately eighty examples illustrating the theory of controlled discrete-time Markov processes. Except for applications of the theory to real-life problems like stock exchange, queues, gambling, optimal search etc, the main attention is paid to counter-intuitive, unexpected properties of optimization problems. Such examples illustrate the importance of conditions imposed in the theorems on Markov Decision Processes. Many of the examples are based upon examples published earlier in journal articles or textbooks while several other examples are new. The aim was to collect them together in one reference book which should be considered as a complement to existing monographs on Markov decision processes.The book is self-contained and unified in presentation.The main theoretical statements and constructions are provided, and particular examples can be read independently of others. Examples in Markov Decision Processes is an essential source of reference for mathematicians and all those who apply the optimal control theory to practical purposes. When studying or using mathematical methods, the researcher must understand what can happen if some of the conditions imposed in rigorous theorems are not satisfied. Many examples confirming the importance of such conditions were published in different journal articles which are often difficult to find. This book brings together examples based upon such sources, along with several new ones. In addition, it indicates the areas where Markov decision processes can be used. Active researchers can refer to this book on applicability of mathematical methods and theorems. It is also suitable reading for graduate and research students where they will better understand the theory.
This book offers a systematic and rigorous treatment of continuous-time Markov decision processes, covering both theory and possible applications to queueing systems, epidemiology, finance, and other fields. Unlike most books on the subject, much attention is paid to problems with functional constraints and the realizability of strategies. Three major methods of investigations are presented, based on dynamic programming, linear programming, and reduction to discrete-time problems. Although the main focus is on models with total (discounted or undiscounted) cost criteria, models with average cost criteria and with impulsive controls are also discussed in depth. The book is self-contained. A separate chapter is devoted to Markov pure jump processes and the appendices collect the requisite background on real analysis and applied probability. All the statements in the main text are proved in detail. Researchers and graduate students in applied probability, operational research, statistics and engineering will find this monograph interesting, useful and valuable.
Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Providing the necessary materials within a theoretical framework, this volume presents stochastic principles and processes, and related areas. Over 1000 exercises illustrate the concepts discussed, including modern approaches to sample paths and optimal stopping.
This book deals with general quantitative regularities of the alteration of evolutionary and reconstruction (critical) periods of development. An equation and a model of development are introduced which generalize a wide range of commonly accepted models, allowing the analysis of the characteristics of processes occurring on different structural levels of natural system organization. On the basis of this model, a hierarchy of critical constants has been established, applicable to, for example, geological history, cyclicity in the individual development of animals, structures of population and ecological systems, as well as to the perception of acoustical signals by man.
This book provides a practically applicable guide on how to develop essential microsurgery skills and successfully perform a range of procedures. Emphasis is placed within each chapter on equipping the reader with the necessary information to enable them to develop a strong foundational knowledge of every technique covered with clear step-by-step guides on how to perform a range of methodologies. Helpful tips are provided on how to avoid common pitfalls and enhance skill acquisition. Accompanying video material also reinforces the key points detailed. Topics covered include how to develop skills utilizing the porcine model of flap harvesting along with the use of animal models for techniques such as vascular anastomoses, anesthesia, and exposure of relevant recipient vessels. Microsurgery Manual for Medical Students and Residents is a detailed resource on how to acquire core microsurgery skills, making it an ideal resource for medical students and trainees seeking a resource on how to further develop their skills.
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