Stochastic Versus Deterministic Systems Of Iterative Processes
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Stochastic Versus Deterministic Systems Of Iterative Processes
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Author : Gangaram S Ladde
language : en
Publisher: World Scientific
Release Date : 2024-04-22
Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Mathematics categories.
Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focused on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the solutions outlined above and made slow progress in developing problems. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.
Stochastic Versus Deterministic Systems Of Iterative Processes
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Author : Gangaram S Ladde
language : en
Publisher:
Release Date : 2024-06-06
Stochastic Versus Deterministic Systems Of Iterative Processes written by Gangaram S Ladde and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Mathematics categories.
State continuous dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend mode of convergence. Second, the basic probabilistic and statistical properties mean, variance, moments of qualitative/quantitative behaviour of solutions are directly described as concept of solution process or via probability distribution or density functions either. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focussed on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the problems outlined above and made slow progress in developing problems as a result. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.
Stieltjes Differential Calculus With Applications
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Author : Svetlin G Georgiev
language : en
Publisher: World Scientific
Release Date : 2024-11-27
Stieltjes Differential Calculus With Applications written by Svetlin G Georgiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-27 with Mathematics categories.
The Stieltjes derivative is a modification of the usual derivative through a nondecreasing and left-continuous map. This change in the definition allows us to study several differential problems under the same framework.This monograph is the first published book that offers a comprehensive view of the fundamentals of Stieltjes calculus and its applications, making it approachable to newcomers and experts. It aims to provide an integrated approach to the foundations and recent developments in the area of the Stieltjes derivatives and the qualitative theory of the Stieltjes differential equations. Through 10 pedagogically organized chapters, the authors examine a wide scope of the concept of the Stieltjes derivative and its applications. Each chapter focuses on theory, and proofs, and contains sufficient examples to enrich the reader's understanding.The Stieltjes derivative contains the Hilger delta derivative on time scales. Thus, offering a new unification and extension of continuous and discrete calculus. Further, a study of differential equations in the sense of the Stieltjes derivative allows the study of many classical problems in a unique framework. This theory has the advantage that ordinary differential equations, ordinary difference equations, quantum difference equations, impulsive differential equations, dynamic equations on time scales, and generalized differential equations can be treated as particular instances of the Stieltjes differential equations. Hence, this book serves as a basic reference for researchers to harness this powerful technique further to unlock new insights and embrace the intricacies of natural processes. Researchers and graduate students at various levels interested in learning about the Stieltjes differential calculus and related fields will find this text a valuable resource of both introductory and advanced material.
Set Dynamic Equations On Time Scales A Brief Introduction With Applications
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Author : Shihuang Hong
language : en
Publisher: World Scientific
Release Date : 2025-01-24
Set Dynamic Equations On Time Scales A Brief Introduction With Applications written by Shihuang Hong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Mathematics categories.
The process of authoring this book is inspired by the recent increased activity of research on dynamic equations on time scales and other closely related areas. This monograph is the first published book that attempts to provide a comprehensive view of the theory and applications of set dynamic equations on time scales. The main focus of the book is the qualitative theory of set dynamic equations and their applications to fuzzy dynamic equations. The key topics include the solvability of set dynamic equations, stability of set dynamic equations, and applications to certain types of fuzzy dynamic equations.There are five chapters in the book, through which the authors examine a wide scope of the concept of set dynamic equations and their applications. Each chapter focuses on theory and proofs to enrich the reader's understanding of the topic.This book will be particularly useful to those experts who work in applied analysis, in general. It will also be a good reference for computer scientists since it covers fuzzy dynamic equations. Researchers and graduate students at various levels interested in learning about set dynamic equations and related fields will find this text a valuable resource of both introductory and advanced material.
Introduction To Engineering Engineering Fundamentals And Concepts
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Author :
language : en
Publisher: Türker Canbazoğlu
Release Date : 2018-12-11
Introduction To Engineering Engineering Fundamentals And Concepts written by and has been published by Türker Canbazoğlu this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-11 with categories.
The future presents society with enormous challenges on many fronts, such as energy, infrastructures in urban settings, mass migrations, mobility, climate, healthcare for an aging population, social security and safety. In the coming decennia, leaps in scientific discovery and innovations will be necessary in social, political, economic and technological fields. Technology, the domain of engineers and engineering scientists, will be an essential component in making such innovations possible. Engineering is the social practice of conceiving, designing, implementing, producing and sustaining complex technological products, processes or systems. The complexity is often caused by the behaviour of the system development that changes with time that cannot be predicted in advance from its constitutive parts. This is especially true when human decisions play a key role in solving the problem. Solving complex systems requires a solid foundation in mathematics and the natural sciences, and an understanding of human nature. Therefore, the skills of the future engineers must extend over an array of fields. The book was born from the "Introduction to Engineering" courses given by the author in various universities. At that time the author was unable to find one text book, that covered all the subjects of the course. The book claims to fulfil this gap.
Surgical Research
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Author : Hans Troidl
language : en
Publisher: Springer Science & Business Media
Release Date : 1998
Surgical Research written by Hans Troidl 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 1998 with Medical categories.
A unique reference manual for academic surgeons, this book discusses every facet of surgical research. From getting grant money to choosing a topic, reviewing the literature, planning and conducting research, and reporting results.
Proceedings Of The 1995 International Conference On Parallel Processing
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Author : Prithviraj Banerjee
language : en
Publisher: CRC Press
Release Date : 1995-08-08
Proceedings Of The 1995 International Conference On Parallel Processing written by Prithviraj Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-08 with Computers categories.
This set of technical books contains all the information presented at the 1995 International Conference on Parallel Processing. This conference, held August 14 - 18, featured over 100 lectures from more than 300 contributors, and included three panel sessions and three keynote addresses. The international authorship includes experts from around the globe, from Texas to Tokyo, from Leiden to London. Compiled by faculty at the University of Illinois and sponsored by Penn State University, these Proceedings are a comprehensive look at all that's new in the field of parallel processing.
Mathematical Modelling And Computer Simulation Of Activated Sludge Systems
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Author : Jacek Makinia
language : en
Publisher: IWA Publishing
Release Date : 2020-03-02
Mathematical Modelling And Computer Simulation Of Activated Sludge Systems written by Jacek Makinia and has been published by IWA Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-02 with Science categories.
Mathematical Modelling and Computer Simulation of Activated Sludge Systems – Second Edition provides, from the process engineering perspective, a comprehensive and up-to-date overview regarding various aspects of the mechanistic (“white box”) modelling and simulation of advanced activated sludge systems performing biological nutrient removal. In the new edition of the book, a special focus is given to nitrogen removal and the latest developments in modelling the innovative nitrogen removal processes. Furthermore, a new section on micropollutant removal has been added. The focus of modelling has been shifting in the last years to models that can describe the performance of a whole plant (plant-wide modelling). The expanded part of this new edition introduces models describing the most important processes interrelated with the mainstream activated sludge systems as well as models describing the energy balance, operating costs and environmental impact. The complex process evaluation, including minimization of energy consumption and carbon footprint, is in line with the present and future wastewater treatment goals. By combining a general introduction and a textbook, this book serves both intermediate and more experienced model users, both researchers and practitioners, as a comprehensive guide to modelling and simulation studies. The book can be used as a supplemental material at graduate and post-graduate levels of wastewater engineering/modelling courses.
Proceedings Of The 1991 Symposium On Systems Analysis In Forest Resources
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Author :
language : en
Publisher:
Release Date : 1991
Proceedings Of The 1991 Symposium On Systems Analysis In Forest Resources written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Forest and forestry categories.
“A stochastic model is presented to generate daily values of precipitation, solar radiation, maximum temperature and minimum temperature. Precipitation is modeled by a Markov chain-exponential model. Solar radiation, maximum and minimum temperature are modeled using a multivariate generating model conditioned on the wet or dry state of the day and time period. The model is formulated such that outputs can be used in simulation exercises to test the effect of changing climatic conditions on forest ecosystem processes.”
Advanced Design Of Mechanical Systems From Analysis To Optimization
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Author : Jorge A.C. Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-25
Advanced Design Of Mechanical Systems From Analysis To Optimization written by Jorge A.C. Ambrosio 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 2009-11-25 with Technology & Engineering categories.
Multibody systems are used extensively in the investigation of mechanical systems including structural and non-structural applications. It can be argued that among all the areas in solid mechanics the methodologies and applications associated to multibody dynamics are those that provide an ideal framework to aggregate d- ferent disciplines. This idea is clearly reflected, e. g. , in the multidisciplinary applications in biomechanics that use multibody dynamics to describe the motion of the biological entities, in finite elements where multibody dynamics provides - werful tools to describe large motion and kinematic restrictions between system components, in system control where the methodologies used in multibody dynamics are the prime form of describing the systems under analysis, or even in many - plications that involve fluid-structure interaction or aero elasticity. The development of industrial products or the development of analysis tools, using multibody dynamics methodologies, requires that the final result of the devel- ments are the best possible within some limitations, i. e. , they must be optimal. Furthermore, the performance of the developed systems must either be relatively insensitive to some of their design parameters or be sensitive in a controlled manner to other variables. Therefore, the sensitivity analysis of such systems is fundamental to support the decision making process. This book presents a broad range of tools for designing mechanical systems ranging from the kinematic and dynamic analysis of rigid and flexible multibody systems to their advanced optimization.