Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics. Complex networked systems play a fundamental role in our society, both in everyday life and in scientific research, with applications ranging from physics and biology to economics and finance. The book is self-contained, and requires only an undergraduate mathematical background.
Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory
This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and universities to exchange knowledge and results in a broad range of topics relevant to the theory and practice of the dynamics of information systems. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more.
This book presents a scientific theory of Networked information technology (NIT) systems and logically develops the fundamental principles to help synthesize control and coordination algorithms for these systems. The algorithms described are asynchronous, distributed decision-making (ADDM) algorithms, and their characteristics include correct operation, robustness, reliability, scalability, stability, survivability, and performance. The book explains through case studies the conception, development, experimental testing, validation, and rigorous performance analysis of practical ADDM algorithms for real-world systems from a number of diverse disciplines. Practitioners, professionals, and advanced students will find the book an authoritative resource for the design and analysis of NIT systems algorithms. Topics and features: Develops a logical and practical approach to synthesizing ADDM algorithms for NIT systems Utilizes a scientific method to address the design & testing of NIT systems Incorporates case studies to clearly convey principles and real-world applications Provides a full context for engineers who design, build, deploy, maintain, and refine network-centric systems spanning many human activities Offers background on core principles underlying the nature of network-centric systems
This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, which proceedings are published in CCIS 163. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.
This book offers a selection of the best papers presented at the annual international scientific conference “Digital Transformation in Industry: Trends, Management, Strategies,” which was held by the Institute of Economics of the Ural Branch of the Russian Academy of Sciences (Ekaterinburg, Russia) on October 28, 2022. The book focuses on concepts for initiating digitalization processes and identifying successful digital transformation strategies in all sectors of industry. Key topics include the sustainability of digital transformation in uncertain dynamics; conditions of uncertainty and barriers; industrial logistics in the new reality; best practices for implementing digital solutions to ensure sustainable, barrier-free and flexible supply chains; the achievement of sustainability in the process of digital transition; the adaptation of enterprises to the ESG concept through digital solutions; assessing the impact of industrial digital transformation on society and the environment; and clarifying how ESG aspects affect the economy. The experiences of various countries, regions and types of enterprise implementing IT and other technological innovations are also included, making the book a valuable asset for researchers and managers alike.
This six-volume-set (CCIS 231, 232, 233, 234, 235, 236) constitutes the refereed proceedings of the International Conference on Computing, Information and Control, ICCIC 2011, held in Wuhan, China, in September 2011. The papers are organized in two volumes on Innovative Computing and Information (CCIS 231 and 232), two volumes on Computing and Intelligent Systems (CCIS 233 and 234), and in two volumes on Information and Management Engineering (CCIS 235 and 236).
Across the humanities and social sciences, scholars increasingly use quantitative methods to study textual data. Considered together, this research represents an extraordinary event in the long history of textuality. More or less all at once, the corpus has emerged as a major genre of cultural and scientific knowledge. In Literary Mathematics, Michael Gavin grapples with this development, describing how quantitative methods for the study of textual data offer powerful tools for historical inquiry and sometimes unexpected perspectives on theoretical issues of concern to literary studies. Student-friendly and accessible, the book advances this argument through case studies drawn from the Early English Books Online corpus. Gavin shows how a copublication network of printers and authors reveals an uncannily accurate picture of historical periodization; that a vector-space semantic model parses historical concepts in incredibly fine detail; and that a geospatial analysis of early modern discourse offers a surprising panoramic glimpse into the period's notion of world geography. Across these case studies, Gavin challenges readers to consider why corpus-based methods work so effectively and asks whether the successes of formal modeling ought to inspire humanists to reconsider fundamental theoretical assumptions about textuality and meaning. As Gavin reveals, by embracing the expressive power of mathematics, scholars can add new dimensions to digital humanities research and find new connections with the social sciences.
