Theory Of Translation Closedness For Time Scales

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Theory of Translation Closedness for Time Scales

Author : Chao Wang
Publisher : Springer Nature
ISBN 13 : 3030386449
Total Pages : 586 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Theory of Translation Closedness for Time Scales by : Chao Wang

Download or read book Theory of Translation Closedness for Time Scales written by Chao Wang and published by Springer Nature. This book was released on 2020-05-05 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales

Author : Chao Wang
Publisher : Springer Nature
ISBN 13 : 3031112369
Total Pages : 195 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales by : Chao Wang

Download or read book Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales written by Chao Wang and published by Springer Nature. This book was released on 2022-09-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combined Measure and Shift Invariance Theory of Time Scales and Applications

Author : Chao Wang
Publisher : Springer Nature
ISBN 13 : 3031116194
Total Pages : 443 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Combined Measure and Shift Invariance Theory of Time Scales and Applications by : Chao Wang

Download or read book Combined Measure and Shift Invariance Theory of Time Scales and Applications written by Chao Wang and published by Springer Nature. This book was released on 2022-09-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Studies in Evolution Equations and Related Topics

Author : Gaston M. N'Guérékata
Publisher : Springer Nature
ISBN 13 : 3030777049
Total Pages : 275 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Studies in Evolution Equations and Related Topics by : Gaston M. N'Guérékata

Download or read book Studies in Evolution Equations and Related Topics written by Gaston M. N'Guérékata and published by Springer Nature. This book was released on 2021-10-27 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.

Selected Topics in Almost Periodicity

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.

Theory of Translation Closedness for Time Scales

Author : Chao Wang
Publisher : Springer
ISBN 13 : 9783030434069
Total Pages : 577 pages
Book Rating : 4.4/5 (34 download)

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Book Synopsis Theory of Translation Closedness for Time Scales by : Chao Wang

Download or read book Theory of Translation Closedness for Time Scales written by Chao Wang and published by Springer. This book was released on 2021-05-20 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamic Equations on Time Scales and Applications

Author : Ravi P Agarwal
Publisher : CRC Press
ISBN 13 : 1040103731
Total Pages : 435 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Dynamic Equations on Time Scales and Applications by : Ravi P Agarwal

Download or read book Dynamic Equations on Time Scales and Applications written by Ravi P Agarwal and published by CRC Press. This book was released on 2024-10-18 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics

Stability Analysis in Terms of Two Measures

Author : V. Lakshmikantham
Publisher : World Scientific
ISBN 13 : 9789810213893
Total Pages : 418 pages
Book Rating : 4.2/5 (138 download)

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Book Synopsis Stability Analysis in Terms of Two Measures by : V. Lakshmikantham

Download or read book Stability Analysis in Terms of Two Measures written by V. Lakshmikantham and published by World Scientific. This book was released on 1993 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of modern society are both complex and multidisciplinary. In spite of the apparent diversity of problems, tools developed in one context are often adaptable to an entirely different situation. The concepts of Lyapunov stability have given rise to many new notions that are important in applications. Relative to each concept, there exists a sufficient literature parallel to Lyapunov's theory of stability. It is natural to ask whether we can find a notion and develop the corresponding theory which unifies and includes a variety of known concepts of stability in a single set up. The answer is yes and it is the development of stability theory in terms of two measures. It is in this spirit the authors see the importance of the present monograph. Its aim is to present a systematic account of recent developments in the stability theory in terms of two distinct measures, describe the current state of the art, show the essential unity achieved by wealth of applications, and provide a unified general structure applicable to several nonlinear problems.

Translation as a Set of Frames

Author : Ali Almanna
Publisher : Routledge
ISBN 13 : 1000397513
Total Pages : 233 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Translation as a Set of Frames by : Ali Almanna

Download or read book Translation as a Set of Frames written by Ali Almanna and published by Routledge. This book was released on 2021-07-14 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Envisioned as a much needed celebration of the massive strides made in translation and interpreting studies, this eclectic volume takes stock of the latest cutting-edge research that exemplifies how translation and interpreting might interact with such topics as power, ideological discourse, representation, hegemony and identity. In this exciting volume, we have articles from different language combinations (e.g. Arabic, English, Hungarian and Chinese) and from a wide range of sociopolitical, cultural, and institutional contexts and geographical locales (China, Iran, Malaysia, Russia and Nigeria). Those chapters also draw on a diverse range of theoretical perspectives and methodological approaches (e.g. critical discourse analysis, Bourdieu’s sociological theories, corpus linguistics, narrative theory and structuration theory), focusing on translation and interpreting relating to various settings and specialised genres (traditional media, digital media, subtitling, manga, etc.). As such, this volume serves as a dynamic forum for intercultural and interlingual communication and an exciting arena for interdisciplinary dialogues, thus enabling us to look beyond the traditionally more static, mechanical and linguistics-oriented views of translation and interpreting. This book appeals to scholars and students interested in translation and interpreting studies and issues of power, ideology, identity in interlingual and intercultural communication.

Nonequilibrium Physics at Short Time Scales

Author : Klaus Morawetz
Publisher : Springer Science & Business Media
ISBN 13 : 3662089904
Total Pages : 499 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Nonequilibrium Physics at Short Time Scales by : Klaus Morawetz

Download or read book Nonequilibrium Physics at Short Time Scales written by Klaus Morawetz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.

Advances in Mathematical Systems Theory

Author : Preston C. Hammer
Publisher : Penn State University Press
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Advances in Mathematical Systems Theory by : Preston C. Hammer

Download or read book Advances in Mathematical Systems Theory written by Preston C. Hammer and published by Penn State University Press. This book was released on 1969 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The patterns that have emerged from recent attempts to use mathematics to discuss complex phenomena have led to the development of a new discipline--mathematical systems theory. This theory arises from models of the important interactions in real systems. Mathematicians, engineers, and technically-oriented administrators will find this new series-which describes in detail the latest views on real systems and the uses of formal systems-of great value. Four main areas are investigated in the first volume of the series: theory of finite automata in engineering systems; control systems; computer linguistics; and global principles concerning systems. Examples and applications are provided throughout this work. Contributors: Preston G. Hammer (Editor), Head, Computer Science Department, The Pennsylvania State University. Alan J. Perlis, Head, Computer Science Department, Case Institute of Technology, Former President, Association for Computing Machinery. M.D. Mesarovich, Director, Systems Research Institute, Case Institute of Technology, Editor, Journal of Mathematical Systems Theory. A.W. Wymore, Head, Systems Engineering Department, University of Arizona.

Closed Loop Neuroscience

Author : Ahmed El Hady
Publisher : Academic Press
ISBN 13 : 0128026413
Total Pages : 304 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Closed Loop Neuroscience by : Ahmed El Hady

Download or read book Closed Loop Neuroscience written by Ahmed El Hady and published by Academic Press. This book was released on 2016-09-08 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed Loop Neuroscience addresses the technical aspects of closed loop neurophysiology, presenting the implementation of these approaches spanning several domains of neuroscience, from cellular and network neurophysiology, through sensory and motor systems, and then clinical therapeutic devices. Although closed-loop approaches have long been a part of the neuroscientific toolbox, these techniques are only now gaining popularity in research and clinical applications. As there is not yet a comprehensive methods book addressing the topic as a whole, this volume fills that gap, presenting state-of-the-art approaches and the technical advancements that enable their application to different scientific problems in neuroscience. - Presents the first volume to offer researchers a comprehensive overview of the technical realities of employing closed loop techniques in their work - Offers application to in-vitro, in-vivo, and hybrid systems - Contains an emphasis on the actual techniques used rather than on specific results obtained - Includes exhaustive protocols and descriptions of software and hardware, making it easy for readers to implement the proposed methodologies - Encompasses the clinical/neuroprosthetic aspect and how these systems can also be used to contribute to our understanding of basic neurophysiology - Edited work with chapters authored by leaders in the field from around the globe – the broadest, most expert coverage available

Handbook of Software Engineering

Author : Charles Ralph Vick
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Handbook of Software Engineering by : Charles Ralph Vick

Download or read book Handbook of Software Engineering written by Charles Ralph Vick and published by . This book was released on 1984 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Genesis of General Relativity

Author : Jürgen Renn
Publisher : Springer Science & Business Media
ISBN 13 : 1402040008
Total Pages : 2072 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Genesis of General Relativity by : Jürgen Renn

Download or read book The Genesis of General Relativity written by Jürgen Renn and published by Springer Science & Business Media. This book was released on 2007-06-17 with total page 2072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume work represents the most comprehensive documentation and study of the creation of general relativity. Einstein’s 1912 Zurich notebook is published for the first time in facsimile and transcript and commented on by today’s major historians of science. Additional sources from Einstein and others, who from the late 19th to the early 20th century contributed to this monumental development, are presented here in translation for the first time. The volumes offer detailed commentaries and analyses of these sources that are based on a close reading of these documents supplemented by interpretations by the leading historians of relativity.

The Big Bang and Georges Lemaître

Author : A.L. Berger
Publisher : Springer Science & Business Media
ISBN 13 : 9400964870
Total Pages : 422 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis The Big Bang and Georges Lemaître by : A.L. Berger

Download or read book The Big Bang and Georges Lemaître written by A.L. Berger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: ix Fully aware of the work accomplished by Mgr. Lemattre, His Majesty King Baudouin enhanced this occasion by placing it under His High Patronage. His Holiness the Pope Jean-Paul II accepted to testify his paternel solicitude for the work of the scientists participating in the symposium. The President of the pontifical Academy of Sciences and the Director of the Vatican Observatory transmitted their fervent wishes for the full success of the symposium. Numerous other eminent people graced the ceremony with their patronage. The academic opening, the addresses of which are pub*lished by the Revue des Questions Scientifiques de Bruxelles , was presided over by Mgr. E. Massaux, Rector of the Catholic University of Louvain who spoke about Lemattre, the University professor. Professor Ch. de Duve, Nobel Prize winner in Medicine, called to mind the role of Lemattre as President of the Pontifical Academy of Sciences; the Emeritus Professor O. Godart, founder of the Institute, recalled the life and work of Mgr. Lemattre; Professor A. Deprit, Senior Mathematician at the National Bureau of Standards, spoke about Lemattre' s work in celestial mechanics and his keen interest for computers; Professor J. Peebles, Professor of Physics at Princeton University, summarized the fundamental contributions of Lemattre to modern cosmology. The attendance of more than three hundred people was enhanced by the presence of Mgr. A. Pedroni, Papal Nuncio, Mr Ph. Maystadt, Minister of Research Policy, Mr E. Knoops, Secretary of State, Mr Y. de Wasseige, Senator, Professor E.

Looking Over the Fence at Networks

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309076137
Total Pages : 37 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Looking Over the Fence at Networks by : National Research Council

Download or read book Looking Over the Fence at Networks written by National Research Council and published by National Academies Press. This book was released on 2001-09-29 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: A remarkable creation, the Internet encompasses a diversity of networks, technologies, and organizations. The enormous volume and great variety of data carried over it give it a rich complexity and texture. It has proved difficult to characterize, understand, or model in terms of large-scale behaviors and a detailed understanding of traffic behavior. Moreover, because it is very difficult to prototype new networksâ€"or even new networking ideasâ€"on an interesting scale, data-driven analysis and simulation are vital tools for evaluating proposed additions and changes to its design. Some argue that a vision for the future Internet should be to provide users the quality of experience they seek and to accommodate a diversity of interests. Looking Over the Fence at Networks explores how networking research could overcome the evident obstacles to help achieve this vision for the future and otherwise better understand and improve the Internet. This report stresses looking beyond the current Internet and evolutionary modifications thereof and aims to stimulate fresh thinking within the networking research community.

Advances in Ubiquitous Computing: Future Paradigms and Directions

Author : Mostefaoui, Soraya Kouadri
Publisher : IGI Global
ISBN 13 : 1599048426
Total Pages : 376 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Advances in Ubiquitous Computing: Future Paradigms and Directions by : Mostefaoui, Soraya Kouadri

Download or read book Advances in Ubiquitous Computing: Future Paradigms and Directions written by Mostefaoui, Soraya Kouadri and published by IGI Global. This book was released on 2008-02-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book investigates the technology of ubiquitous computing, emerging applications and services, and social issues vital for the successful deployment of a ubiquitous computing application. Providing high quality, authoritative content on such topics as device design, wireless communication, location sensing, privacy concerns, attention focus, multi-person interaction, and direct interaction, work patterns, it is a must-have in library collections"--Provided by publisher.