Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1086
Book Description
Philosophical Magazine
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1086
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1086
Book Description
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Author: Alexander Stanoyevitch
Publisher: John Wiley & Sons
ISBN: 1118031504
Category : Mathematics
Languages : en
Pages : 834
Book Description
Publisher: John Wiley & Sons
ISBN: 1118031504
Category : Mathematics
Languages : en
Pages : 834
Book Description
R for Data Science
Author: Hadley Wickham
Publisher: "O'Reilly Media, Inc."
ISBN: 1491910364
Category : Computers
Languages : en
Pages : 521
Book Description
Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results
Publisher: "O'Reilly Media, Inc."
ISBN: 1491910364
Category : Computers
Languages : en
Pages : 521
Book Description
Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results
Max Plus at Work
Author: Bernd Heidergott
Publisher: Princeton University Press
ISBN: 1400865239
Category : Mathematics
Languages : en
Pages : 226
Book Description
Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section.
Publisher: Princeton University Press
ISBN: 1400865239
Category : Mathematics
Languages : en
Pages : 226
Book Description
Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section.
Hierarchical Annotated Action Diagrams
Author: Eduard Cerny
Publisher: Springer Science & Business Media
ISBN: 1461556155
Category : Technology & Engineering
Languages : en
Pages : 222
Book Description
Standardization of hardware description languages and the availability of synthesis tools has brought about a remarkable increase in the productivity of hardware designers. Yet design verification methods and tools lag behind and have difficulty in dealing with the increasing design complexity. This may get worse because more complex systems are now constructed by (re)using Intellectual Property blocks developed by third parties. To verify such designs, abstract models of the blocks and the system must be developed, with separate concerns, such as interface communication, functionality, and timing, that can be verified in an almost independent fashion. Standard Hardware Description Languages such as VHDL and Verilog are inspired by procedural `imperative' programming languages in which function and timing are inherently intertwined in the statements of the language. Furthermore, they are not conceived to state the intent of the design in a simple declarative way that contains provisions for design choices, for stating assumptions on the environment, and for indicating uncertainty in system timing. Hierarchical Annotated Action Diagrams: An Interface-Oriented Specification and Verification Method presents a description methodology that was inspired by Timing Diagrams and Process Algebras, the so-called Hierarchical Annotated Diagrams. It is suitable for specifying systems with complex interface behaviors that govern the global system behavior. A HADD specification can be converted into a behavioral real-time model in VHDL and used to verify the surrounding logic, such as interface transducers. Also, function can be conservatively abstracted away and the interactions between interconnected devices can be verified using Constraint Logic Programming based on Relational Interval Arithmetic. Hierarchical Annotated Action Diagrams: An Interface-Oriented Specification and Verification Method is of interest to readers who are involved in defining methods and tools for system-level design specification and verification. The techniques for interface compatibility verification can be used by practicing designers, without any more sophisticated tool than a calculator.
Publisher: Springer Science & Business Media
ISBN: 1461556155
Category : Technology & Engineering
Languages : en
Pages : 222
Book Description
Standardization of hardware description languages and the availability of synthesis tools has brought about a remarkable increase in the productivity of hardware designers. Yet design verification methods and tools lag behind and have difficulty in dealing with the increasing design complexity. This may get worse because more complex systems are now constructed by (re)using Intellectual Property blocks developed by third parties. To verify such designs, abstract models of the blocks and the system must be developed, with separate concerns, such as interface communication, functionality, and timing, that can be verified in an almost independent fashion. Standard Hardware Description Languages such as VHDL and Verilog are inspired by procedural `imperative' programming languages in which function and timing are inherently intertwined in the statements of the language. Furthermore, they are not conceived to state the intent of the design in a simple declarative way that contains provisions for design choices, for stating assumptions on the environment, and for indicating uncertainty in system timing. Hierarchical Annotated Action Diagrams: An Interface-Oriented Specification and Verification Method presents a description methodology that was inspired by Timing Diagrams and Process Algebras, the so-called Hierarchical Annotated Diagrams. It is suitable for specifying systems with complex interface behaviors that govern the global system behavior. A HADD specification can be converted into a behavioral real-time model in VHDL and used to verify the surrounding logic, such as interface transducers. Also, function can be conservatively abstracted away and the interactions between interconnected devices can be verified using Constraint Logic Programming based on Relational Interval Arithmetic. Hierarchical Annotated Action Diagrams: An Interface-Oriented Specification and Verification Method is of interest to readers who are involved in defining methods and tools for system-level design specification and verification. The techniques for interface compatibility verification can be used by practicing designers, without any more sophisticated tool than a calculator.
Nature of Computation and Communication
Author: Phan Cong Vinh
Publisher: Springer
ISBN: 3319469096
Category : Computers
Languages : en
Pages : 410
Book Description
This book constitutes the post-conference proceedings of the Second International Conference on Nature of Computation and Communication, ICTCC 2016, held in March 2016 in Rach Gia, Vietnam. The 36 revised full papers presented were carefully reviewed and selected from over 100 submissions. The papers cover formal methods for self-adaptive systems and discuss natural approaches and techniques for computation and communication.
Publisher: Springer
ISBN: 3319469096
Category : Computers
Languages : en
Pages : 410
Book Description
This book constitutes the post-conference proceedings of the Second International Conference on Nature of Computation and Communication, ICTCC 2016, held in March 2016 in Rach Gia, Vietnam. The 36 revised full papers presented were carefully reviewed and selected from over 100 submissions. The papers cover formal methods for self-adaptive systems and discuss natural approaches and techniques for computation and communication.
Circuits, Signals, and Systems for Bioengineers
Author: John Semmlow
Publisher: Elsevier
ISBN: 0443158878
Category : Technology & Engineering
Languages : en
Pages : 801
Book Description
Circuits, Signals, and Systems for Bioengineers: A MATLAB-Based Introduction, Fourth Edition, guides the reader through the electrical engineering principles that can be applied to biological systems. It details the basic engineering concepts that underlie biomedical systems, medical devices, biocontrol, and biomedical signal analysis, providing a solid foundation for students in important bioengineering concepts. Fully revised and updated to better meet the needs of instructors and students, the fourth edition expands on concepts introduced in the previous edition through computational methods that allow students to explore operations, such as correlations, convolution, the Fourier transform, and the transfer function. New medical examples and applications are included throughout the text. - Covers current applications in biocontrol, with examples from physiological systems modeling, such as the respiratory system - Features revised material throughout, with improved clarity of presentation and more biological, physiological, and medical examples and applications - Includes support materials, such as solutions, lecture slides, MATLAB data, and functions needed to solve problems
Publisher: Elsevier
ISBN: 0443158878
Category : Technology & Engineering
Languages : en
Pages : 801
Book Description
Circuits, Signals, and Systems for Bioengineers: A MATLAB-Based Introduction, Fourth Edition, guides the reader through the electrical engineering principles that can be applied to biological systems. It details the basic engineering concepts that underlie biomedical systems, medical devices, biocontrol, and biomedical signal analysis, providing a solid foundation for students in important bioengineering concepts. Fully revised and updated to better meet the needs of instructors and students, the fourth edition expands on concepts introduced in the previous edition through computational methods that allow students to explore operations, such as correlations, convolution, the Fourier transform, and the transfer function. New medical examples and applications are included throughout the text. - Covers current applications in biocontrol, with examples from physiological systems modeling, such as the respiratory system - Features revised material throughout, with improved clarity of presentation and more biological, physiological, and medical examples and applications - Includes support materials, such as solutions, lecture slides, MATLAB data, and functions needed to solve problems
Robot Colonies
Author: Ronald C. Arkin
Publisher: Springer Science & Business Media
ISBN: 1475764510
Category : Computers
Languages : en
Pages : 150
Book Description
Robots in groups or colonies can exhibit an enormous variety and richness of behaviors which cannot be observed with singly autonomous systems. Of course, this is analogous to the amazing variety of group animal behaviors which can be observed in nature. In recent years more and more investigators have started to study these behaviors. The studies range from classifications and taxonomies of behaviors, to development of architectures which cause such group activities as flocking or swarming, and from emphasis on the role of intelligent agents in such groups to studies of learning and obstacle avoidance. There used to be a time when many robotics researchers would question those who were interested in working with teams of robots: `Why are you worried about robotic teams when it's hard enough to just get one to work?'. This issue responds to that question. Robot Colonies provides a new approach to task problem-solving that is similar in many ways to distributed computing. Multiagent robotic teams offer the possibility of spatially distributed parallel and concurrent perception and action. A paradigm shift results when using multiple robots, providing a different perspective on how to carry out complex tasks. New issues such as interagent communications, spatial task distribution, heterogeneous or homogeneous societies, and interference management are now central to achieving coordinated and productive activity within a colony. Fortunately mobile robot hardware has evolved sufficiently in terms of both cost and robustness to enable these issues to be studied on actual robots and not merely in simulation. Robot Colonies presents a sampling of the research in this field. While capturing a reasonable representation of the most important work within this area, its objective is not to be a comprehensive survey, but rather to stimulate new research by exposing readers to the principles of robot group behaviors, architectures and theories. Robot Colonies is an edited volume of peer-reviewed original research comprising eight invited contributions by leading researchers. This research work has also been published as a special issue of Autonomous Robots (Volume 4, Number 1).
Publisher: Springer Science & Business Media
ISBN: 1475764510
Category : Computers
Languages : en
Pages : 150
Book Description
Robots in groups or colonies can exhibit an enormous variety and richness of behaviors which cannot be observed with singly autonomous systems. Of course, this is analogous to the amazing variety of group animal behaviors which can be observed in nature. In recent years more and more investigators have started to study these behaviors. The studies range from classifications and taxonomies of behaviors, to development of architectures which cause such group activities as flocking or swarming, and from emphasis on the role of intelligent agents in such groups to studies of learning and obstacle avoidance. There used to be a time when many robotics researchers would question those who were interested in working with teams of robots: `Why are you worried about robotic teams when it's hard enough to just get one to work?'. This issue responds to that question. Robot Colonies provides a new approach to task problem-solving that is similar in many ways to distributed computing. Multiagent robotic teams offer the possibility of spatially distributed parallel and concurrent perception and action. A paradigm shift results when using multiple robots, providing a different perspective on how to carry out complex tasks. New issues such as interagent communications, spatial task distribution, heterogeneous or homogeneous societies, and interference management are now central to achieving coordinated and productive activity within a colony. Fortunately mobile robot hardware has evolved sufficiently in terms of both cost and robustness to enable these issues to be studied on actual robots and not merely in simulation. Robot Colonies presents a sampling of the research in this field. While capturing a reasonable representation of the most important work within this area, its objective is not to be a comprehensive survey, but rather to stimulate new research by exposing readers to the principles of robot group behaviors, architectures and theories. Robot Colonies is an edited volume of peer-reviewed original research comprising eight invited contributions by leading researchers. This research work has also been published as a special issue of Autonomous Robots (Volume 4, Number 1).
Dynamic Optimization of Path-Constrained Switched Systems
Author: Jun Fu
Publisher: Springer Nature
ISBN: 3031234286
Category : Technology & Engineering
Languages : en
Pages : 113
Book Description
This book provides a series of systematic theoretical results and numerical solution algorithms for dynamic optimization problems of switched systems within infinite-dimensional inequality path constraints. Dynamic optimization of path-constrained switched systems is a challenging task due to the complexity from seeking the best combinatorial optimization among the system input, switch times and switching sequences. Meanwhile, to ensure safety and guarantee product quality, path constraints are required to be rigorously satisfied (i.e., at an infinite number of time points) within a finite number of iterations. Several novel methodologies are presented by using dynamic optimization and semi-infinite programming techniques. The core advantages of our new approaches lie in two folds: i) The system input, switch times and the switching sequence can be optimized simultaneously. ii) The proposed algorithms terminate within finite iterations while coming with a certification of feasibility for the path constraints. In this book, first, we provide brief surveys on dynamic optimization of path-constrained systems and switched systems. For switched systems with a fixed switching sequence, we propose a bi-level algorithm, in which the input is optimized at the inner level, and the switch times are updated at the outer level by using the gradient information of the optimal value function calculated at the optimal input. We then propose an efficient single-level algorithm by optimizing the input and switch times simultaneously, which greatly reduces the number of nonlinear programs and the computational burden. For switched systems with free switching sequences, we propose a solution framework for dynamic optimization of path-constrained switched systems by employing the variant 2 of generalized Benders decomposition technique. In this framework, we adopt two different system formulations in the primal and master problem construction and explicitly characterize the switching sequences by introducing a binary variable. Finally, we propose a multi-objective dynamic optimization algorithm for locating approximated local Pareto solutions and quantitatively analyze the approximation optimality of the obtained solutions. This book provides a unified framework of dynamic optimization of path-constrained switched systems. It can therefore serve as a useful book for researchers and graduate students who are interested in knowing the state of the art of dynamic optimization of switched systems, as well as recent advances in path-constrained optimization problems. It is a useful source of up-to-date optimization methods and algorithms for researchers who study switched systems and graduate students of control theory and control engineering. In addition, it is also a useful source for engineers who work in the control and optimization fields such as robotics, chemical engineering and industrial processes.
Publisher: Springer Nature
ISBN: 3031234286
Category : Technology & Engineering
Languages : en
Pages : 113
Book Description
This book provides a series of systematic theoretical results and numerical solution algorithms for dynamic optimization problems of switched systems within infinite-dimensional inequality path constraints. Dynamic optimization of path-constrained switched systems is a challenging task due to the complexity from seeking the best combinatorial optimization among the system input, switch times and switching sequences. Meanwhile, to ensure safety and guarantee product quality, path constraints are required to be rigorously satisfied (i.e., at an infinite number of time points) within a finite number of iterations. Several novel methodologies are presented by using dynamic optimization and semi-infinite programming techniques. The core advantages of our new approaches lie in two folds: i) The system input, switch times and the switching sequence can be optimized simultaneously. ii) The proposed algorithms terminate within finite iterations while coming with a certification of feasibility for the path constraints. In this book, first, we provide brief surveys on dynamic optimization of path-constrained systems and switched systems. For switched systems with a fixed switching sequence, we propose a bi-level algorithm, in which the input is optimized at the inner level, and the switch times are updated at the outer level by using the gradient information of the optimal value function calculated at the optimal input. We then propose an efficient single-level algorithm by optimizing the input and switch times simultaneously, which greatly reduces the number of nonlinear programs and the computational burden. For switched systems with free switching sequences, we propose a solution framework for dynamic optimization of path-constrained switched systems by employing the variant 2 of generalized Benders decomposition technique. In this framework, we adopt two different system formulations in the primal and master problem construction and explicitly characterize the switching sequences by introducing a binary variable. Finally, we propose a multi-objective dynamic optimization algorithm for locating approximated local Pareto solutions and quantitatively analyze the approximation optimality of the obtained solutions. This book provides a unified framework of dynamic optimization of path-constrained switched systems. It can therefore serve as a useful book for researchers and graduate students who are interested in knowing the state of the art of dynamic optimization of switched systems, as well as recent advances in path-constrained optimization problems. It is a useful source of up-to-date optimization methods and algorithms for researchers who study switched systems and graduate students of control theory and control engineering. In addition, it is also a useful source for engineers who work in the control and optimization fields such as robotics, chemical engineering and industrial processes.
Mathematical Modelling
Author: Seyed M. Moghadas
Publisher: John Wiley & Sons
ISBN: 1119484022
Category : Mathematics
Languages : en
Pages : 186
Book Description
An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.
Publisher: John Wiley & Sons
ISBN: 1119484022
Category : Mathematics
Languages : en
Pages : 186
Book Description
An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.