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Theory Of Translation Closedness For Time Scales


Theory Of Translation Closedness For Time Scales
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Theory Of Translation Closedness For Time Scales


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.



Combined Measure And Shift Invariance Theory Of Time Scales And Applications


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.



Studies In Evolution Equations And Related Topics


Studies In Evolution Equations And Related Topics
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Author : Gaston M. N'Guérékata
language : en
Publisher: Springer Nature
Release Date : 2021-10-27

Studies In Evolution Equations And Related Topics written by Gaston M. N'Guérékata and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-27 with Mathematics categories.


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.



Dynamic Equations And Almost Periodic Fuzzy Functions On Time Scales


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.



Selected Topics In Almost Periodicity


Selected Topics In Almost Periodicity
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Author : Marko Kostić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22

Selected Topics In Almost Periodicity written by Marko Kostić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.


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.



Handbook Of Software Engineering


Handbook Of Software Engineering
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Author : Charles Ralph Vick
language : en
Publisher:
Release Date : 1984

Handbook Of Software Engineering written by Charles Ralph Vick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Computers categories.




The Genesis Of General Relativity


The Genesis Of General Relativity
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Author : Jürgen Renn
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-17

The Genesis Of General Relativity written by Jürgen Renn 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 2007-06-17 with Science categories.


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.



Translation As A Set Of Frames


Translation As A Set Of Frames
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Author : Ali Almanna
language : en
Publisher: Routledge
Release Date : 2021-07-14

Translation As A Set Of Frames written by Ali Almanna and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-14 with Foreign Language Study categories.


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.



Stability Analysis In Terms Of Two Measures


Stability Analysis In Terms Of Two Measures
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Author : V. Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1993

Stability Analysis In Terms Of Two Measures written by V. Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


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.



The Big Bang And Georges Lema Tre


The Big Bang And Georges Lema Tre
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Author : A.L. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Big Bang And Georges Lema Tre written by A.L. Berger 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 2012-12-06 with Science categories.


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.