Combined Measure And Shift Invariance Theory Of Time Scales And Applications
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Combined Measure And Shift Invariance Theory Of Time Scales And Applications
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Author : Chao Wang
language : en
Publisher: Springer Nature
Release Date : 2022-09-22
Combined Measure And Shift Invariance Theory Of Time Scales And Applications written by Chao Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-22 with Mathematics categories.
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics—and more comprehensive and versatile than the traditional theories of differential and difference equations—, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
Dynamic Equations And Almost Periodic Fuzzy Functions On Time Scales
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Author : Chao Wang
language : en
Publisher: Springer Nature
Release Date : 2022-09-20
Dynamic Equations And Almost Periodic Fuzzy Functions On Time Scales written by Chao Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Mathematics categories.
This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.
Theory Of Translation Closedness For Time Scales
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Author : Chao Wang
language : en
Publisher: Springer Nature
Release Date : 2020-05-05
Theory Of Translation Closedness For Time Scales written by Chao Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-05 with Mathematics categories.
This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations. The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.
Front End Vision And Multi Scale Image Analysis
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Author : Bart M. Haar Romeny
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-30
Front End Vision And Multi Scale Image Analysis written by Bart M. Haar Romeny 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 2003-09-30 with Computers categories.
Front-End Vision and Multi-Scale Image Analysis is a tutorial in multi-scale methods for computer vision and image processing. It builds on the cross fertilization between human visual perception and multi-scale computer vision (`scale-space') theory and applications. The multi-scale strategies recognized in the first stages of the human visual system are carefully examined, and taken as inspiration for the many geometric methods discussed. All chapters are written in Mathematica, a spectacular high-level language for symbolic and numerical manipulations. The book presents a new and effective approach to quickly mastering the mathematics of computer vision and image analysis. The typically short code is given for every topic discussed, and invites the reader to spend many fascinating hours `playing' with computer vision. Front-End Vision and Multi-Scale Image Analysis is intended for undergraduate and graduate students, and all with an interest in computer vision, medical imaging, and human visual perception.
The Sage Handbook Of Survey Development And Application
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Author : Lucy R. Ford
language : en
Publisher: SAGE Publications Limited
Release Date : 2023-06-29
The Sage Handbook Of Survey Development And Application written by Lucy R. Ford and has been published by SAGE Publications Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-29 with Social Science categories.
The SAGE Handbook of Survey Development and Application provides a practical resource that researchers can go to for cutting-edge tools to ensure they are employing the best survey research techniques. This handbook not only covers the classic and innovational skills and approaches involved at every step of the survey research process, but also centres itself around applied, how-to guidance to aid readers in best practice. Chapters engage with a broad range of topics including sampling issues, approaches to establishment of measurement equivalence, and the use of online labour pools in survey development. With contributions from a global community of leading and emerging scholars across a wide variety of disciplines, this Handbook is focused on being applicable and accessible across the social sciences. Containing over 120 tables and figures, checklists and tutorial guides, The SAGE Handbook of Survey Development and Application will serve as a one stop resource for survey research. This handbook serves as a touchstone for a variety of fields such as Organizational Behavior, Industrial & Organizational Psychology, Management, Psychology, Educational Research, Marketing, Public Policy, and others. PART 1: Conceptual Issues and Operational Definition PART 2: Research Design Considerations PART 3: Item Development PART 4: Scale Improvement Methods PART 5: Data Collection PART 6: Data Management and Analysis PART 7: Research Production and Dissemination PART 8: Applications
Proceedings Of The Ieee Sp International Symposium On Time Frequency And Time Scale Analysis October 4 6 1992 Victoria Bc Canada
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Author :
language : en
Publisher:
Release Date : 1996
Proceedings Of The Ieee Sp International Symposium On Time Frequency And Time Scale Analysis October 4 6 1992 Victoria Bc Canada written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Signal processing categories.
Dynamic Equations On Time Scales
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Author : Martin Bohner
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-15
Dynamic Equations On Time Scales written by Martin Bohner 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 2001-06-15 with Language Arts & Disciplines categories.
The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. Further, the study of measure chain theory has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, and epidemic models. Key features of the book: * Introduction to measure chain theory; discussion of its usefulness in allowing for the simultaneous development of differential equations and difference equations without having to repeat analogous proofs * Many classical formulas or procedures for differential and difference equations cast in a new light * New analogues of many of the "special functions" studied * Examination of the properties of the "exponential function" on time scales, which can be defined and investigated using a particularly simple linear equation * Additional topics covered: self-adjoint equations, linear systems, higher order equations, dynamic inequalities, and symplectic dynamic systems * Clear, motivated exposition, beginning with preliminaries and progressing to more sophisticated text * Ample examples and exercises throughout the book * Solutions to selected problems Requiring only a first semester of calculus and linear algebra, Dynamic Equations on Time Scales may be considered as an interesting approach to differential equations via exposure to continuous and discrete analysis. This approach provides an early encounter with many applications in such areas as biology, physics, and engineering. Parts of the book may be used in a special topics seminar at the senior undergraduate or beginning graduate levels. Finally, the work may
From Quantum To Cosmos Fundamental Physics Research In Space
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Author : Slava G Turyshev
language : en
Publisher: World Scientific
Release Date : 2009-05-21
From Quantum To Cosmos Fundamental Physics Research In Space written by Slava G Turyshev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Science categories.
Space-based laboratory research in fundamental physics is an emerging research discipline that offers great discovery potential and at the same time could drive the development of technological advances which are likely to be important to scientists and technologists in many other different research fields. The articles in this review volume have been contributed by participants of the international workshop “From Quantum to Cosmos: Fundamental Physics Research in Space” held at the Airlie Center in Warrenton, Virginia, USA, on May 21-24, 2006. This unique volume discusses the advances in our understanding of fundamental physics that are anticipated in the near future, and evaluates the discovery potential of a number of recently proposed space-based gravitational experiments. Specific research areas covered include various tests of general relativity and alternative theories, search of physics beyond the Standard Model, investigations of possible violations of the equivalence principle, search for new hypothetical long- and short-range forces, variations of fundamental constants, tests of Lorentz invariance and attempts at unification of the fundamental interactions. The book also encompasses experiments aimed at the discovery of novel phenomena, including dark matter candidates, and studies of dark energy.
Scale Space And Morphology In Computer Vision
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Author : Michael Kerckhove
language : en
Publisher: Springer
Release Date : 2003-05-15
Scale Space And Morphology In Computer Vision written by Michael Kerckhove and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-15 with Computers categories.
This book constitutes the refereed proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision, Scale-Space 2001, held in Vancouver, Canada in July 2001. The 18 revised full papers presented together with 23 posters were carefully reviewed and selected from 60 submissions. The book addresses all current aspects of scale-space and morphology in the context of computer vision, in particular, vector distance functions, optic flow, image registration, curve evolution, morphological segmentation, scalar images, vector images, automatic scale selection, geometric diffusion, diffusion filtering, image filtering, inverse problems, active contours, etc.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.