This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz. Since then, many great mathematicians, such as Abel, have made contributions that cover not only theoretical aspects but also physical applications of fractional calculus. The fractional partial differential equations govern phenomena depending both on spatial and time variables and require more subtle treatments. Moreover, fractional partial differential equations are highly demanded model equations for solving real-world problems such as the anomalous diffusion in heterogeneous media. The studies of fractional partial differential equations have continued to expand explosively. However we observe that available mathematical theory for fractional partial differential equations is not still complete. In particular, operator-theoretical approaches are indispensable for some generalized categories of solutions such as weak solutions, but feasible operator-theoretic foundations for wide applications are not available in monographs. To make this monograph more readable, we are restricting it to a few fundamental types of time-fractional partial differential equations, forgoing many other important and exciting topics such as stability for nonlinear problems. However, we believe that this book works well as an introduction to mathematical research in such vast fields.
This book covers selected topics of automated logic synthesis dedicated to FPGAs. The authors focused on two main problems: decomposition of the multioutput functions and technology mapping. Additionally, the idea of using binary decision diagrams (BDD) in these processes was presented. The book is a scientific monograph summarizing the authors’ many years of research. As a result, it contains a large number of experimental results, which makes it a valuable source for other researchers. The book has a significant didactic value. Its arrangement allows for a gradual transition from basic things (e.g., description of logic functions) to much more complex issues. This approach allows less advanced readers to better understand the described problems. In addition, the authors made sure that the issues described in the book were supported by practical examples, thanks to which the reader can independently analyze even the most complex problems described in the book.
Administer, configure, and monitor Junos in your organization About This Book Get well acquainted with security and routing policies to identify the use of firewall filters. Learn to provide end-user authentication and protect each layer in an enterprise network. A recipe-based guide that will help you configure and monitor Junos OS and basic device operations. Who This Book Is For This book targets network engineers, developers, support personals, and administrators who are working on devices running Junos OS and are looking at automating their organisation's operations. Some understanding about Junos would be necessary What You Will Learn Start using NETCONF RPC standard and understand its usefulness in programming JUNOS Write SLAX scripts to respond to events in the JUNOS environment Automate JUNOS with PyEZ Deal with events in the JUNOS environment, and writing response handlers to deal with them Make the most of automation technologies to help with maintenance and monitoring of JUNOS Use the Ansible framework to extend the automation functionality of Junos In Detail The JUNOS Automation Cookbook is a companion guide for the complex field of automating tasks on JUNOS devices. With a foundation in industry-standrd XML, JUNOS provides an ideal environment for programmatic interation, allowing you to build upon the capabilities provided by Juniper, with your own original code. You will begin by learning about, and setting up, the industry-standard NETCONF remote procedure call mechanisms on your device. After initial setup, you'll walk through SLAX - Juniper's foundation scripting language - for manipulating XML representations of JUNOS concepts and elements. You'll learn how to write your own SLAX scripts to customise the operating environment, and also how to write proactive event handlers that deal with situations as they happen. You'll then delve into PyEZ - Juniper's bridging framework to make automation accessible to Python code - allowing you to build automation applications in the popular scripting language. You'll witness some examples of how to write applications that can monitor configuration changes, implement BGP security policies and implement ad-hoc routing protocols, for those really tricky situations. You'll also leaarn how asynchronous I/O frameworks like Node.js can be used to implement automation applications that present an acceptable web interface. Along with way, you'll explore how to make use of the latest RESTful APIs that JUNOS provides, how to visualize aspects of your JUNOS network, and how to integrate your automation capabilities with enterprise-wide orchestration systems like Ansible. By the end of the book, you'll be able to tackle JUNOS automation challenges with confidence and understanding, and without hassle. Style and Approach A guide that will cover all the automation tools along with steps on leveraging these tools
This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz. Since then, many great mathematicians, such as Abel, have made contributions that cover not only theoretical aspects but also physical applications of fractional calculus. The fractional partial differential equations govern phenomena depending both on spatial and time variables and require more subtle treatments. Moreover, fractional partial differential equations are highly demanded model equations for solving real-world problems such as the anomalous diffusion in heterogeneous media. The studies of fractional partial differential equations have continued to expand explosively. However we observe that available mathematical theory for fractional partial differential equations is not still complete. In particular, operator-theoretical approaches are indispensable for some generalized categories of solutions such as weak solutions, but feasible operator-theoretic foundations for wide applications are not available in monographs. To make this monograph more readable, we are restricting it to a few fundamental types of time-fractional partial differential equations, forgoing many other important and exciting topics such as stability for nonlinear problems. However, we believe that this book works well as an introduction to mathematical research in such vast fields.
This book covers selected topics of automated logic synthesis dedicated to FPGAs. The authors focused on two main problems: decomposition of the multioutput functions and technology mapping. Additionally, the idea of using binary decision diagrams (BDD) in these processes was presented. The book is a scientific monograph summarizing the authors’ many years of research. As a result, it contains a large number of experimental results, which makes it a valuable source for other researchers. The book has a significant didactic value. Its arrangement allows for a gradual transition from basic things (e.g., description of logic functions) to much more complex issues. This approach allows less advanced readers to better understand the described problems. In addition, the authors made sure that the issues described in the book were supported by practical examples, thanks to which the reader can independently analyze even the most complex problems described in the book.
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