Inverse Problems In Physical Diagnostics
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Inverse Problems In Physical Diagnostics
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Author : Konstantin P. Gaikovich
language : en
Publisher: Nova Publishers
Release Date : 2004
Inverse Problems In Physical Diagnostics written by Konstantin P. Gaikovich and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Unlike direct problems related to the solution of differential equations, inverse problems are typically expressed by integral equations. These equations relate media parameters to parameters of a measured signal, or input parameters to output ones in various measurement systems. The solution of integral equations is, with few exceptions, an ill-posed problem, and additional a priori information about the exact solution should be used to solve such problems. The specific character of the a priori information determines various regularisation methods that are in use here to obtain an approximate solution: Tikhonov's method, statistical regularisation method, methods based on the use of additional equations or restrictions or of models with limited number of unknown parameters. The main point of this book is the study of convergence properties of each method and the wide application of numerical modelling that gives the accuracy of the solution in a chosen metric. It is an unaccustomed procedure for physicists, but, because there is no proportionality between data and solution errors in ill-posed problems, such approach is inevitable.
Fuzzy Evidence In Identification Forecasting And Diagnosis
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Author : Alexander P. Rotshtein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-27
Fuzzy Evidence In Identification Forecasting And Diagnosis written by Alexander P. Rotshtein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-27 with Computers categories.
The purpose of this book is to present a methodology for designing and tuning fuzzy expert systems in order to identify nonlinear objects; that is, to build input-output models using expert and experimental information. The results of these identifications are used for direct and inverse fuzzy evidence in forecasting and diagnosis problem solving. The book is organised as follows: Chapter 1 presents the basic knowledge about fuzzy sets, genetic algorithms and neural nets necessary for a clear understanding of the rest of this book. Chapter 2 analyzes direct fuzzy inference based on fuzzy if-then rules. Chapter 3 is devoted to the tuning of fuzzy rules for direct inference using genetic algorithms and neural nets. Chapter 4 presents models and algorithms for extracting fuzzy rules from experimental data. Chapter 5 describes a method for solving fuzzy logic equations necessary for the inverse fuzzy inference in diagnostic systems. Chapters 6 and 7 are devoted to inverse fuzzy inference based on fuzzy relations and fuzzy rules. Chapter 8 presents a method for extracting fuzzy relations from data. All the algorithms presented in Chapters 2-8 are validated by computer experiments and illustrated by solving medical and technical forecasting and diagnosis problems. Finally, Chapter 9 includes applications of the proposed methodology in dynamic and inventory control systems, prediction of results of football games, decision making in road accident investigations, project management and reliability analysis.
Atomic Processes In Basic And Applied Physics
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Author : Viacheslav Shevelko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-31
Atomic Processes In Basic And Applied Physics written by Viacheslav Shevelko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Science categories.
The book is a comprehensive edition which considers the interactions of atoms, ions and molecules with charged particles, photons and laser fields and reflects the present understanding of atomic processes such as electron capture, target and projectile ionisation, photoabsorption and others occurring in most of laboratory and astrophysical plasma sources including many-photon and many-electron processes. The material consists of selected papers written by leading scientists in various fields.
Advances In Technical Diagnostics
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Author : Anna Timofiejczuk
language : en
Publisher: Springer
Release Date : 2017-09-04
Advances In Technical Diagnostics written by Anna Timofiejczuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-04 with Technology & Engineering categories.
This book provides readers with an overview of recent theories and methods for machinery diagnostics applied to machinery maintenance. Each chapter, accepted after a rigorous peer-review process, reports on a selected, original piece of work discussed at the International Congress on Technical Diagnostics, ICTD2016, held on September 12 – 16, 2016, in Gliwice, Poland. The book covers a broad range of topics, including machines operating in non-stationary conditions, and examples from different industrial fields of mechanical, civil, computer and electronic engineering as well as the medical, food, automotive, and mining industries. By presenting state-of-the-art diagnostic solutions and discussing important industrial issues the book offers a valuable resource to both academics and professionals as well as a bridge to facilitate communication and collaboration between the two groups.
Bioelectric And Biomagnetic Fields
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Author : Leonid I. Titomir
language : en
Publisher: CRC Press
Release Date : 1994-06-27
Bioelectric And Biomagnetic Fields written by Leonid I. Titomir and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-27 with Medical categories.
Bioelectric and Biomagnetic Fields: Theory and Applications in Electrocardiology begins with a general description of the development of extracellular bioelectric and biomagnetic fields and the methods used in their analysis and measurement. The most effective electrodynamic models and most modern approaches to topographical (synchronous multilead) measurements of the field are reviewed. The next section discusses the major approaches to analysis of the inverse problem with a detailed description of multipole technique applied to the bioelectric and biomagnetic fields measured on or near the body surface. Special emphasis is placed on the interrelationship between the electric and magnetic fields of the same bioelectric generator. The last section explains the new approaches to chronotopographical representation of the electrophysiological characteristics deduced from the parameters of the bioelectric generator. The text includes the most recent experimental protocols and results from studies in electro- and magnetocardiology and electro- and magnetoneurology.
Numerical Methods For The Solution Of Ill Posed Problems
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Author : A.N. Tikhonov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Numerical Methods For The Solution Of Ill Posed Problems written by A.N. Tikhonov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Approximate Reasoning In Intelligent Systems Decision And Control
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Author : E. Sanchez
language : en
Publisher: Elsevier
Release Date : 2014-05-23
Approximate Reasoning In Intelligent Systems Decision And Control written by E. Sanchez and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Computers categories.
Documents realistic applications of approximate reasoning techniques, with emphasis placed on operational systems. The papers presented explore new areas of practical decision-making and control systems by considering important aspects of fuzzy logic theory and the latest developments in the field of expert systems. Specific fields of application covered include modelling and control, management, planning, diagnostics, finance and software. Contains 12 papers.
Princeton Companion To Applied Mathematics
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Author : Nicholas J. Higham
language : en
Publisher: Princeton University Press
Release Date : 2015-09-09
Princeton Companion To Applied Mathematics written by Nicholas J. Higham and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-09 with Mathematics categories.
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Mathematical Physiology
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Author : James Keener
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-04
Mathematical Physiology written by James Keener and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-04 with Mathematics categories.
Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review
Diagnostic Radiology Advances In Imaging Technology
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Author : Arun Kumar Gupta
language : en
Publisher: Jaypee Brothers Medical Publishers
Release Date : 2019-07-31
Diagnostic Radiology Advances In Imaging Technology written by Arun Kumar Gupta and has been published by Jaypee Brothers Medical Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Medical categories.
SECTION 1 ADVANCES IN ULTRASOUND IMAGING Chapter 1. Ultrasound Instrumentation: Practical Applications Chapter 2. Image Optimization in Ultrasound Chapter 3. Ultrasound Elastography: Principles and Application SECTION 2 ADVANCES IN COMPUTED TOMOGRAPHY Chapter 4. Computed Tomography Hardware including Dual Energy Computed Tomography: An Update Chapter 5. Advanced Computed Tomography Applications and Software SECTION 3 ADVANCES IN MAGNETIC RESONANCE IMAGING Chapter 6. Magnetic Resonance Instrumentation and MRI Safety Issues: An Update Chapter 7. Image Optimization in Magnetic Resonance Imaging Chapter 8. Diffusion-weighted Magnetic Resonance Imaging Chapter 9. Perfusion MRI Chapter 10. Magnetic Resonance Angiography Chapter 11. Magnetic Resonance Imaging Pulse Sequences SECTION 4 ADVANCES IN RADIOGRAPHY AND INTERVENTIONAL RADIOLOGY Chapter 12. Digital Radiography: An Update Chapter 13. Digital Mammography Chapter 14. Fluoroscopy and Digital Subtraction Angiography Chapter 15. Tools and Drugs in Interventional Radiology SECTION 5 UPDATE IN CONTRAST MEDIA Chapter 16. Magnetic Resonance Contrast Media Chapter 17. Ultrasound Contrast Agents Chapter 18. Iodinated Contrast Media: An Update (To Include Reactions and Management) SECTION 6 MISCELLANEOUS Chapter 19. Radiology Information System and Picture Archiving and Communication System Chapter 21. Radiation Hazards and Radiation Units Chapter 22. Radiation Protection Chapter 23. Planning Modern Imaging Department with Regulatory Requirements in Radiology Practice Chapter 24. Recent Advances in PET/CT and PET/MR Chapter 25. Ethical and Legal Issues in Radiology Chapter 26. Basics of Radiomics, Texture Analysis and Radiogenomics Chapter 27. Artificial Intelligence in Radiology Chapter 28. Structured Reporting in Radiology Index