Exponential Fitting
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Practical Handbook Of Curve Fitting
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Author : Sandra Arlinghaus
language : en
Publisher: CRC Press
Release Date : 2023-06-14
Practical Handbook Of Curve Fitting written by Sandra Arlinghaus and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-14 with Mathematics categories.
Practical Handbook of Curve Fitting is a reference work assembled by Arlinghaus and a set of editors with well over a century of combined experience in various disciplines and activities related to curve fitting. The book demonstrates how to analyze World data bases and graph and map the results. Default settings in software packages can produce attractive graphs of data imported into the software. Often, however, the default graph has no equation associated with it and cannot therefore be used as a tool for further analysis or projection of the data. The same software can often be used to generate curves from equations. The reader is shown directly, and in a series of steps, how to fit curves to data using Lotus 1-2-3. There are traditional unbounded curve fitting techniques-lines of least squares, exponentials, logistic curves, and Gompertz curves. There is the bounded curve fitting technique of cubic spline interpolation. Beyond these, there is a detailed application of Feigenbaum's graphical analysis from chaos theory, and there is a hint as to how fractal geometry might come into play. Curve fitting algorithms take on new life when they are actually used on real-world data. They are used in numerous worked examples drawn from electronic data bases of public domain information from the Stars data base of The World Bank and from the WRD data base of the World Resources Institute. The applications are current and reflect a state-of-the-art interest in the human dimensions of global change.
Exponential Fitting
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Author : Liviu Gr. Ixaru
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-05-26
Exponential Fitting written by Liviu Gr. Ixaru 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 2004-05-26 with Mathematics categories.
Exponential Fitting is a procedure for an efficient numerical approach of functions consisting of weighted sums of exponential, trigonometric or hyperbolic functions with slowly varying weight functions. This book is the first one devoted to this subject. Operations on the functions described above like numerical differentiation, quadrature, interpolation or solving ordinary differential equations whose solution is of this type, are of real interest nowadays in many phenomena as oscillations, vibrations, rotations, or wave propagation. The authors studied the field for many years and contributed to it. Since the total number of papers accumulated so far in this field exceeds 200 and the fact that these papers are spread over journals with various profiles (such as applied mathematics, computer science, computational physics and chemistry) it was time to compact and to systematically present this vast material. In this book, a series of aspects is covered, ranging from the theory of the procedure up to direct applications and sometimes including ready to use programs. The book can also be used as a textbook for graduate students.
Numerical Data Fitting In Dynamical Systems
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Author : Klaus Schittkowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-05
Numerical Data Fitting In Dynamical Systems written by Klaus Schittkowski 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 2013-06-05 with Mathematics categories.
Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain the behaviour of systems, or to optimize design and production. As soon as a mathematical model contains differential dependencies from an additional parameter, typically the time, we call it a dynamical model. There are two key questions always arising in a practical environment: 1 Is the mathematical model correct? 2 How can I quantify model parameters that cannot be measured directly? In principle, both questions are easily answered as soon as some experimental data are available. The idea is to compare measured data with predicted model function values and to minimize the differences over the whole parameter space. We have to reject a model if we are unable to find a reasonably accurate fit. To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.
Exponential Data Fitting And Its Applications
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Author : Victor Pereyra
language : en
Publisher: Bentham Science Publishers
Release Date : 2010
Exponential Data Fitting And Its Applications written by Victor Pereyra and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
"Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision a"
Bottom Up Approach A Route For Effective Multi Modal Imaging Of Tumors
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Author : Min Wu
language : en
Publisher: Frontiers Media SA
Release Date : 2022-02-21
Bottom Up Approach A Route For Effective Multi Modal Imaging Of Tumors written by Min Wu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-21 with Medical categories.
Mechanisms Of Catalysis
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Author : David S. Sigman
language : en
Publisher: Academic Press
Release Date : 1992
Mechanisms Of Catalysis written by David S. Sigman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Catalysis categories.
Single Molecule Biophysics
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Author : Tamiki Komatsuzaki
language : en
Publisher: John Wiley & Sons
Release Date : 2011-11-16
Single Molecule Biophysics written by Tamiki Komatsuzaki and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-16 with Science categories.
Discover the experimental and theoretical developments in optical single-molecule spectroscopy that are changing the ways we think about molecules and atoms The Advances in Chemical Physics series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. This latest volume explores the advent of optical single-molecule spectroscopy, and how atomic force microscopy has empowered novel experiments on individual biomolecules, opening up new frontiers in molecular and cell biology and leading to new theoretical approaches and insights. Organized into two parts—one experimental, the other theoretical—this volume explores advances across the field of single-molecule biophysics, presenting new perspectives on the theoretical properties of atoms and molecules. Single-molecule experiments have provided fresh perspectives on questions such as how proteins fold to specific conformations from highly heterogeneous structures, how signal transductions take place on the molecular level, and how proteins behave in membranes and living cells.This volume is designed to further contribute to the rapid development of single-molecule biophysics research. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Experimental Vibration Analysis For Civil Structures
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Author : Jian Zhang
language : en
Publisher: CRC Press
Release Date : 2020-11-04
Experimental Vibration Analysis For Civil Structures written by Jian Zhang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Technology & Engineering categories.
Experimental Vibration Analysis for Civil Structures: Testing, Sensing, Monitoring, and Control covers a wide range of topics in the areas of vibration testing, instrumentation, and analysis of civil engineering and critical infrastructure. It explains how recent research, development, and applications in experimental vibration analysis of civil engineering structures have progressed significantly due to advancements in the fields of sensor and testing technologies, instrumentation, data acquisition systems, computer technology, computational modeling and simulation of large and complex civil infrastructure systems. The book also examines how cutting-edge artificial intelligence and data analytics can be applied to infrastructure systems. Features: Explains how recent technological developments have resulted in addressing the challenge of designing more resilient infrastructure Examines numerous research studies conducted by leading scholars in the field of infrastructure systems and civil engineering Presents the most emergent fields of civil engineering design, such as data analytics and Artificial Intelligence for the analysis and performance assessment of infrastructure systems and their resilience Emphasizes the importance of an interdisciplinary approach to develop the modeling, analysis, and experimental tools for designing more resilient and intelligent infrastructures Appropriate for practicing engineers and upper-level students, Experimental Vibration Analysis for Civil Structures: Testing, Sensing, Monitoring, and Control serves as a strategic roadmap for further research in the field of vibration testing and instrumentation of infrastructure systems.
Magnetic Resonance In Food Science
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Author : G A Webb
language : en
Publisher: Royal Society of Chemistry
Release Date : 2007-10-31
Magnetic Resonance In Food Science written by G A Webb and has been published by Royal Society of Chemistry this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-31 with Technology & Engineering categories.
Magnetic resonance has long demonstrated its tremendous versatility in many areas of science. Nowhere has this been more apparent than in food science, where problems encountered in a variety of situations can be resolved using one of the many techniques available to the magnetic resonance practitioner. From structural studies and investigations of molecules in frozen sugar solutions, to identifying the origins of salmon and detecting free radicals in irradiated food, magnetic resonance techniques can provide useful information. Divided into four sections entitled A View Towards the Next Century; Food Safety and Health; Structure and Dynamics; and Analysis, Monitoring and Authentication, the book consists of top quality contributions from renowned international scientists, and looks at what magnetic resonance techniques can offer both now and in the future. Offering state-of-the-art material, Magnetic Resonance in Food Science: A View to the Future is essential reading for both academics and industrialists in food science.
Recent Advances In Indoor Localization Systems And Technologies
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Author : Gyula Simon
language : en
Publisher: MDPI
Release Date : 2021-08-30
Recent Advances In Indoor Localization Systems And Technologies written by Gyula Simon and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-30 with Technology & Engineering categories.
Despite the enormous technical progress seen in the past few years, the maturity of indoor localization technologies has not yet reached the level of GNSS solutions. The 23 selected papers in this book present the recent advances and new developments in indoor localization systems and technologies, propose novel or improved methods with increased performance, provide insight into various aspects of quality control, and also introduce some unorthodox positioning methods.