Informationsteori

This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems.

This book presents a collection of state-of-the-art artificial intelligence and big data analytics approaches to cybersecurity intelligence. It illustrates the latest trends in AI/ML-based strategic defense mechanisms against malware, vulnerabilities, cyber threats, as well as proactive countermeasures. It also introduces other trending technologies, such as blockchain, SDN, and IoT, and discusses their possible impact on improving security. The book discusses the convergence of AI/ML and big data in cybersecurity by providing an overview of theoretical, practical, and simulation concepts of computational intelligence and big data analytics used in different approaches of security. It also displays solutions that will help analyze complex patterns in user data and ultimately improve productivity.This book can be a source for researchers, students, and practitioners interested in the fields of artificial intelligence, cybersecurity, data analytics, and recent trends of networks.

This book presents a comprehensive study covering the design and application of models and algorithms for assessing the joint device failures of telecommunication backbone networks caused by large-scale regional disasters. At first, failure models are developed to make use of the best data available; in turn, a set of fast algorithms for determining the resulting failure lists are described; further, a theoretical analysis of the complexity of the algorithms and the properties of the failure lists is presented, and relevant practical case studies are investigated. Merging concepts and tools from complexity theory, combinatorial and computational geometry, and probability theory, a comprehensive set of models is developed for translating the disaster hazard in informative yet concise data structures. The information available on the network topology and the disaster hazard is then used to calculate the possible (probabilistic) network failures. The resulting sets of resources that are expected to break down simultaneously are modeled as a collection of Shared Risk Link Groups (SRLGs), or Probabilistic SRLGs. Overall, this book presents improved theoretical methods that can help predicting disaster-caused network malfunctions, identifying vulnerable regions, and assessing precisely the availability of internet services, among other applications.

This volume LNCS 14282 constitutes the refereed proceedings of the 20th European Conference EUMAS 2023, held in Naples, Italy, during September 2023.This volume includes 24 full papers and 5 short papers, carefully selected from 47 submissions. Additionally, the volume features 16 short papers, rigorously reviewed from 20 submissions for the PhD day. The conference focused on the theory and practice of autonomous agents and multi-agent systems, covering a wide range of topics.

This book contains all refereed papers accepted during the 14th International Conference on Complex Systems Design & Management CSD&M 2023 that took place in Beijing, People¿s Republic of China by the end October 2023. Mastering complex systems requires an integrated understanding of industrial practices as well as sophisticated theoretical techniques and tools. This explains the creation of an annual go-between European and Asian forum dedicated to academic researchers and industrial actors working on complex industrial systems architecting, modeling and engineering. These proceedings cover the most recent trends in the emerging field of complex systems, both from an academic and professional perspective. A special focus was put this year on ¿New Trends in Complex Systems Engineering.¿ The CSD&M series of conferences were initiated under the guidance of CESAM Community in Europe, managed by CESAMES. Its Asian version took place in Singapore for three consecutive sessions during 2014 and 2018. The fourth Asian edition was held in Beijing in hybrid with the Chinese Society of Aeronautics and Astronautics (CSAA) as the co-organizer in 2021. Since 2023, its European and Asian conferences merge into one, taking place in China and Europe in turn. CESAM Community aims in organizing the sharing of good practices in systems architecting and model-based systems engineering (MBSE) and certifying the level of knowledge and proficiency in this field through the CESAM certification. The CESAM systems architecting, and model-based systems engineering (MBSE) certification is especially currently the most disseminated professional certification in the world in this domain through more than 3,000 real complex system development projects on which it was operationally deployed and around 10,000 engineers who were trained on the CESAM framework at international level.

This book constitutes the refereed proceedings of the Doctoral Consortium and Workshops on New Trends in Database and Information Systems, ADBIS 2023, held in Barcelona, Spain, during September 4¿7, 2023.The 29 full papers, 25 short papers and 7 doctoral consortium included in this book were carefully reviewed and selected from 148. They were organized in topical sections as follows: ADBIS Short Papers: Index Management & Data Reconstruction, ADBIS Short Papers: Query Processing, ADBIS Short Papers: Advanced Querying Techniques, ADBIS Short Papers: Fairness in Data Management, ADBIS Short Papers: Data Science, ADBIS Short Papers: Temporal Graph Management, ADBIS Short Papers: Consistent Data Management, ADBIS Short Papers: Data Integration, ADBIS Short Papers: Data Quality, ADBIS Short Papers: Metadata Management, Contributions from ADBIS 2023 Workshops and Doctoral Consortium, AIDMA: 1st Workshop on Advanced AI Techniques for Data Management, Analytics, DOING: 4th Workshop on Intelligent Data - From Data to Knowledge, K-Gals: 2nd Workshop on Knowledge Graphs Analysis on a Large Scale, MADEISD: 5th Workshop on Modern Approaches in Data Engineering, Information System Design, PeRS: 2nd Workshop on Personalization, Recommender Systems, Doctoral Consortium.

This book discusses the role of optical networks in 3G, 4G, 5G and beyond. The authors discuss the evolution of the technologies, the research involved, and the applications with respect to optical communication systems. In addition, the book provides in-depth knowledge of broadband connectivity for future generation networks. More focus is given towards the front-, mid- and back- hauling of 5G and beyond. The authors present architecture for broadband connectivity and explain its potential in 5G and beyond applications. This book includes several architectures based on Hybrid Fiber-Wireless; Next Generation Passive Optical Networks Stage 1 and 2; millimeter wave over fiber; sub-THz wave over fiber; millimeter/sub-THz wave over multicore fiber; 6G fronthaul; 6G backhaul; GMPLS networks, and massive MIMO sub-Thz antenna. The contributors provide supplementary material such as simulations, analysis and experiments.

This book constitutes the refereed proceedings of the 17th International Joint Conference on Theoretical Computer Science-Frontier of Algorithmic Wisdom (IJTCS-FAW 2023), consisting of the 17th International Conference on Frontier of Algorithmic Wisdom (FAW) and the 4th International Joint Conference on Theoretical Computer Science (IJTCS), held in Macau, China, during August 14¿18, 2023.FAW started as the Frontiers of Algorithmic Workshop in 2007 at Lanzhou, China, and was held annually from 2007 to 2021 and published archival proceedings. IJTCS, the International joint theoretical Computer Science Conference, started in 2020, aimed to bring in presentations covering active topics in selected tracks in theoretical computer science. To accommodate the diversified new research directions in theoretical computer science, FAW and IJTCS joined their forces together to organize an event for information exchange of new findings and work of enduring value in the field. The 21 full papers included in this book were carefully reviewed and selected from 34 submissions. They were organized in topical sections as follows: algorithmic game theory; algorithms and data structures; combinatorial optimization; and computational economics.

This book, dedicated to Professor Georgi M. Dimirovski on his anniversary, contains new research directions, challenges, and many relevant applications related to many aspects within the broadly perceived areas of systems and control, including signal analysis and intelligent systems. The project comprises two volumes with papers written by well known and very active researchers and practitioners. The first volume is focused on more foundational aspects related to general issues in systems science and mathematical systems, various problems in control and automation, and the use of computational and artificial intelligence in the context of systems modeling and control. The second volume is concerned with a presentation of relevant applications, notably in robotics, computer networks, telecommunication, fault detection/diagnosis, as well as in biology and medicine, and economic, financial, and social systems too.

This book collects the latest research results on security-related advanced technologies. The chapters contain relevant and interesting topics from numerous research. Data science and artificial intelligence research nowadays one of the most important topics for the industry and the security sectors. The autonomy and counter-autonomy research topic are also very interesting. Autonomous cars have become a part of the common days, but their safe and secure application is not assured. The research results in this field want to support and assure safe and secure autonomous applications in our quotidian life. Also, the safe and secure robotics in the industries and the defence assure a high standard of living and the given research results in this area can use to increase it. The researchers work on it and publish the results that can be interesting for the other researchers and the innovators, but also the industrial part members. The researchers work on it and publish the results that can be interesting for the other researchers and the innovators, but also the industrial part members. Communication is a part of our life, but the communication systems mesh all around the world. Communication is the basis of modern life because without it life stop. One other interesting and very important research area is the material sciences. Virtual life cannot exist without hardware and materials. The new technical applications require new materials, that can suffice the mechanical and physical, chemical properties demand. Nowadays a common requirement of the materials the high strength and lightweight. Researchers want to serve the industrial requests and innovate new composite materials or increase the properties of the material through a new technological process. The authors publish the latest results of the security-related research area including the newest innovations and technologies which rise the interest of the defence and the modern industries even the interest of other researchers.

This book proposes secure schemes to address security challenges in secure automatic dependent surveillance-broadcast systems (ADS-B) from five different angles. First, the authors examine encryption schemes applied to the ADS-B environment for protecting messages confidentiality. Second, they propose an ADS-B broadcast authentication scheme with batch verification by employing an identity-based signature. Third, they present ADS-B broadcast authentication scheme based on a digital signature with message recovery, which provides a feature that the message is recoverable from the signature. Fourth, they propose a new cryptographic solution to ADS-B security. Finally, they propose an accurate and efficient cognitive aircraft location verification scheme preserving aircraft location privacy by utilizing a grid-based k-nearest neighbor algorithm. In summary, the authors show how ADS-B data links can greatly enhance flight safety by these proposed schemes without sacrificing data security.Proposes several secure schemes to address security challenges in secure automatic dependent surveillance-broadcast systems (ADS-B);Provides extensive experiments and evaluates the proposed schemes using real-world data;Shows how ADS-B data links can greatly enhance safety without sacrificing data security

This book focuses on open issues of Society 5.0, a new paradigm of a society, that balances a human-centred approach and technologies based on cyber-physical systems and artificial intelligence. The book contains results of how intelligent or cyber-solutions help to improve the quality of life in society despite new challenges. This book includes five sections. Section Society 5.0: Biomedicine and Healthcare present how cyber-physical systems help in healthcare, e.g. analysis of clinical data in pregnant women with hypertension, breast cancer diagnostics, healthy diet design and others. In the chapter, the problem of data analysis and optimization is considered. The second Section, Society 5.0: Human-centric Cyber-Solutions highlight new findings on constructing virtual reality simulators, training of workers on the basis of equipment's digital twins, development of human capital. Society 5.0: Socio-Economic Systems Modelling includes chapters concerning the application of quantum-like mathematical models for the analysis of socio-economic systems, indicative planning models for agriculture, approaches of assessing and monitoring competitiveness risks of regions. A section, Society 5.0: Industrial Cyber-Solutions provides new results on cyber-physical systems of Russian oil market, railway joint diagnostics, and information support for maintenance and repair of a machine-building cyber-physical system. The last section, Society 5.0: Cyber-Solutions Security consider interoperability issues of security, the video conferencing, and scaling networks.This book is directed to researchers, practitioners, engineers, software developers, professors and students. We do hope the book will be useful for them.

This book focuses mainly on the usages of three key technologies: IoT, big data, and AI for various day to day applications. Further, it explores the possibilities of future research based on the usages of latest information systems.This book explores the current research and challenges to be faced by different researchers for building intelligent information solutions using key technologies; IoT, big data, and AI in improving quality of lives in smart cities and explores the limitations and capabilities of these three key computing technologies. The book is organized into three major parts; each part includes chapters exploring a specific topic, and there are: PART-1: IoT for Real World Solutions , (ii) Part-2: Big Data And Cloud Computing for Innovative Solutions For Day to Day Lives, and (iii) Part-3 Artificial Intelligence for Everyday Lives. This book may be useful to the scientists, scholars, and researchers who are working in the field of computer science and engineering, and communication engineering, along with the students in these subjects who are working or willing to work on IoT, big data, and AI technologies for improving quality of everyday life. Specialists as well as student readers find the book chapters encouraging and helpful.IoT, data science & cloud, and AI all are the undergraduate (UG/ bachelor) subjects. Use of these three key technologies for building new applications for better world is helpful for UG and postgraduate (PG/ MS) Programmes students (as an elective and core course). This book may also be very useful for the Ph.D. (research scholars) during their course work and may be used as an instrument to identify the different challenges associated with information systems.

This book constitutes the proceedings of the 23rd International TRIZ Future Conference on Towards AI-Aided Invention and Innovation, TFC 2023, which was held in Offenburg, Germany, during September 12¿14, 2023. The event was sponsored by IFIP WG 5.4.The 43 full papers presented in this book were carefully reviewed and selected from 80 submissions. The papers are divided into the following topical sections: AI and TRIZ; sustainable development; general vision of TRIZ; TRIZ impact in society; and TRIZ case studies.

Dieses Buch wendet künstliche Intelligenz auf die schlanke Produktion an und zeigt, wie sich die Vorteile dieser beiden Disziplinen praktisch kombinieren lassen. Die schlanke Produktion hat ihren Ursprung in Japan und ist ein bekanntes Instrument zur Verbesserung der Wettbewerbsfähigkeit der Hersteller. Zu den gängigen Werkzeugen der schlanken Produktion gehören Kanban, Pacemaker, Wertstromkarte, 5s, Just-in-Time und Pull Manufacturing. Lean Manufacturing und das Toyota-Produktionssystem wurden in verschiedenen Fabriken und Lieferketten auf der ganzen Welt erfolgreich eingesetzt. Ein schlankes Fertigungssystem kann nicht nur Verschwendung und Lagerbestände reduzieren, sondern auch unmittelbarer auf Kundenbedürfnisse reagieren. Künstliche Intelligenz ist ein Thema, das in letzter Zeit viel Aufmerksamkeit auf sich gezogen hat. Viele Forscher und praktische Entwickler arbeiten hart daran, künstliche Intelligenz in unserem täglichen Leben anzuwenden, auch in Fabriken. So wurden beispielsweise Fuzzy-Regeln zur Optimierung von Maschineneinstellungen entwickelt. Es wurden bionische Algorithmen vorgeschlagen, um Probleme bei der Produktionsreihenfolge und -planung zu lösen. Technologien des maschinellen Lernens werden eingesetzt, um mögliche Probleme mit der Produktqualität zu erkennen und den Zustand einer Maschine zu diagnostizieren. Dieses Buch ist für Produktionsingenieure, Manager sowie für Studenten und Forscher im Bereich der Fertigungstechnik von Interesse.

This book provides an insight on the importance that the Internet of Things (IoT) and Information and Communication Technology (ICT) solutions can offer towards smart city and healthcare applications. The book features include elaboration of recent and emerging developments in various specializations of curing health problems; smart transportation systems, traffic management for smart cities; energy management, deep learning and machine learning techniques for smart health and smart cities; and concepts that incorporate the Internet of Everything (IoE). The book discusses useful IoE applications and architectures that cater to critical knowledge creation towards developing new capacities and outstanding economic opportunities for businesses and the society.

This book examines how the rapid acceleration and interconnection of globalization comes with the need for more flexible and adaptable solutions to complex problems and solutions. It describes and demonstrates possible combinations of methods and methodologies to address the complex problems that the world offers us today. Sharing meaningful experiences of the application of workshops in mixed public private companies and with vulnerable communities and peacebuilding communities. The text offers readers, who are looking for tools to face complexity and enhance their projects, real-world examples and accessible methods. The book is based on advanced engineering tools however it is understandable and accessible to a broad audience.This book is for decision makers involved with social complex systems who are uncertain about how they should start and proceed. Discussions on new methodologies to support engineering interventions with communities are being shown. A new multi-methodology proposal called ¿Complexity Funnel Methodology¿ (CFM) dissected in ¿Social Transformation Workshops¿ (STW) is provided and discussed. It is used with combinations of different methods and methodologies of critical Systems thinking. The implementation of this methodology is described using a case study approach.

This second edition of Dynamics, Information and Complexity in Quantum Systems widens its scope by focussing more on the dynamics of quantum correlations and information in microscopic and mesoscopic systems, and their use for metrological and machine learning purposes. The book is divided into three parts:Part One: Classical Dynamical SystemsAddresses classical dynamical systems, classical dynamical entropy, and classical algorithmic complexity.Includes a survey of the theory of simple perceptrons and their storage capacity.Part Two: Quantum Dynamical SystemsFocuses on the dynamics of entanglement under dissipative dynamics and its metrological use in finite level quantum systems.Discusses the quantum fluctuation approach to large-scale mesoscopic systems and their emergent dynamics in quantum systems with infinitely many degrees of freedom.Introduces a model ofquantum perceptron whose storage capacity is computed and compared with the classical one.Part Three: Quantum Dynamical Entropies and ComplexitiesDevoted to quantum dynamical entropies and algorithmic complexities.This book is meant for advanced students, young and senior researchers working in the fields of quantum statistical mechanics, quantum information, and quantum dynamical systems. It is self-contained, and the only prerequisites needed are a standard knowledge of statistical mechanics, quantum mechanics, and linear operators on Hilbert spaces.

High dimensional reference architectures presented here allows confronting and prevailing over the growing complexity of polytopic projects implementations.Such projects should be envisaged giving that conventional systems operations, equipments, methodologies or organizations will reach their limits for self-evolvability in high complexity conditions. Self-evolvable high complexity systems are based on high dimensional polytopic reference architectures.Polytope is the general term of the sequence: point, line, polygon, polyhedron and so on.The polytopic projects are targeting the artificiality, not only for materials where it is well known and applied, but also for biological, cognitive, intelligent and mathematical systems. The book highlights the polytopic projects basic similarity despite the noticeable difference as domains of application. The roads to follow and the algebra of changing roads are emphasized.The book is divided in 9 chapters. Chapter 1 introduces the Polytopic Roadmap to 4D and beyond. The role for the dialogue of processes in duality of the non-Aristotelian Logic of Contradiction and of Included Middle is emphasized for different domains. Chapter 2 refers to chemical systems. Supramolecular chemistry, metal organic frameworks, MOF, and reaction networks, are the examples considered in the frame of polytopic chemistry. Chapter 3 refers to biological systems. Biological dynamical hierarchies and quasi-species are the considered case studies. Technological and scientific projects targeting artificiality for cells and viruses are considered. Chapter 4 refers to cognitive systems. Developmental stages, formal and relational concepts analysis, and neural coding are considered here. The roles of the 4D systems of systems of systems and of conceptual 4D-cube are emphasized. Artificiality for cognitive systems is the object of study.Chapter 5 refers to mathematical systems. Modeling levels and the 4D digital twins are discussed. Hopf monoids as tools for the study of combinations and separations, dual graded graphs and V-models are informally presented. Chapter 6 refers to application of formal concept analysis, FCA, for high dimensional separations, nesting and drug delivery. Chapter 7 refers to polytopic engineering systems as multiscale transfer, distributors-collectors, cyclic operations, middle vessel columns, mixing, assembly and designs. Equipments have been characterized using Polytopic Roadmaps and classified by Periodic Tables. Chapter 8 introduces polytopic industry, economy, society and sustainability. Chapter 9 outlines new domains of interest as arts and architecture, transdisciplinarity, complex systems and unity of sciences and engineering.Polytopic Roadmaps are proposed as Method for experts from various fields to synthesize their thinking and capabilities into new projects implementation to face and surpass high complexity. A repetitive finding of this book is that self-evolvability observed in physical systems is based on the same directed sequence of reference architectures as the self-evolvability of concepts in our mind. Continuing to develop the field of self-evolvable systems and presenting the polytopic roadmaps for 4D and beyond advances in ever growing complexity domains, the book will be useful to engineers, researchers, entrepreneurs and students in different branches of production, complex systems sciences and engineering, ecology and applied mathematics.

This monograph is focused on control law design methods for asymptotic tracking and disturbance rejection in the presence of uncertainties. The methods are based on adaptive implementation of the Internal Model Principle (IMP). The monograph shows how this principle can be applied to the problems of asymptotic rejection/tracking of a priori uncertain exogenous signals for linear and nonlinear plants with known and unknown parameters. The book begins by introducing the problems of adaptive control, the challenges that are faced, modern methods and an overview of the IMP. It then introduces special observers for uncertain exogeneous signals affecting linear and nonlinear systems with known and unknown parameters. The basic algorithms of adaptation applied to the canonical closed-loop error models are presented. The authors then address the systematic design of adaptive systems for asymptotic rejection/tracking of a priori uncertain exosignals. The monograph also discusses the adaptive rejection/tracking of a priori uncertain exogenous signals in systems with input delay, the problems of performance improvement in disturbance rejection and reference tracking and the issue of robustness of closed-loop systems. Adaptive Regulation provides a systematic discussion of the IMP applied to a variety of control problems, making it of interest to researchers and industrial practitioners.

This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry needed in linearization are explained on the Euclidean space instead of the manifold for students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concentration and time. This book provides MATLAB programs for most of the theorems. The book also includes end-of-chapter problems and other pedagogical aids to help understanding and self study. 

"After carefully analyzing different models of media systems existing in the scientific literature, including the three models proposed by Halin and Mancini (2004), the author concludes that none of them applies to the Haitian case. In this perspective, he presents a new theoretical model of a media system called: the model of the precarious system of democratic transition. It is based on a dozen fundamental parameters that characterize the Haitian media system and the environment in which it operates. This is a significant contribution to advancing knowledge in media studies and public communication in general. His study confirms the limitations of media system models resulting from Halin and Mancini's comparative studies of the media systems of 18 Western countries. This book is a real reference document that gives a reading grid to analyze the media systems of non-Western countries, particularly African or Latin American countries, which have characteristics similar to that of Haiti"--

This book gives a detailed overview of a universal Maximum Likelihood (ML) decoding technique, known as Guessing Random Additive Noise Decoding (GRAND), has been introduced for short-length and high-rate linear block codes. The interest in short channel codes and the corresponding ML decoding algorithms has recently been reignited in both industry and academia due to emergence of applications with strict reliability and ultra-low latency requirements . A few of these applications include Machine-to-Machine (M2M) communication, augmented and virtual Reality, Intelligent Transportation Systems (ITS), the Internet of Things (IoTs), and Ultra-Reliable and Low Latency Communications (URLLC), which is an important use case for the 5G-NR standard.GRAND features both soft-input and hard-input variants. Moreover, there are traditional GRAND variants that can be used with any communication channel, and specialized GRAND variants that are developed for a specific communication channel. This book presents a detailed overview of these GRAND variants and their hardware architectures.The book is structured into four parts. Part 1 introduces linear block codes and the GRAND algorithm. Part 2 discusses the hardware architecture for traditional GRAND variants that can be applied to any underlying communication channel. Part 3 describes the hardware architectures for specialized GRAND variants developed for specific communication channels. Lastly, Part 4 provides an overview of recently proposed GRAND variants and their unique applications.This book is ideal for researchers or engineers looking to implement high-throughput and energy-efficient hardware for GRAND, as well as seasoned academics and graduate students interested in the topic of VLSI hardware architectures. Additionally, it can serve as reading material in graduate courses covering modern error correcting codes and Maximum Likelihood decoding for short codes.

This book presents unique compendium of groundbreaking ideas where scientists from many different backgrounds are united in their interest in interdisciplinary approaches towards origins and development of cancers, innovative ways of searching for cancer treatment and the role of cancer in the evolution. Chapters give an unequivocal slice of all areas that relate to a quest for understanding cancer and its origin as many-fold nonlinear system, complexity of the cancer developments, a search for cancer treatment using  artificial intelligence and evolutionary optimisation, novel modelling techniques, molecular origin of cancer, the role of cancer in evolution of species, interpretation of cancer in terms of artificial life and artificial immune systems, swarm intelligence, cellular automata, computational systems biology, genetic networks, cellular computing,  validation through in vitro/vivo tumour models and tumour on chip devices. The book is an inspiring blend of theoretical and experimental results, concepts and paradigms.Distinctive featuresThe book advances widely popular topics of  cancer origin, treatment and understanding of its progressThe book is comprised of unique chapters written by world top experts in  theoretical and applied oncology, complexity theory, mathematics, computer science.The book illustrates attractive examples of mathematical and computer models and experimental setups.

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional solutions, measure-valued solutions allow for a much broader class of abstract evolution equations to be addressed, providing a broader approach.The book presents extensive results on the existence of measure-valued solutions for differential equations that have no solutions in the usual sense. It covers a range of topics, including evolution equations with continuous/discontinuous vector fields, neutral evolution equations subject to vector measures as impulsive forces, stochastic evolution equations, and optimal control of evolution equations. The optimal control problems considered cover the existence of solutions, necessary conditions of optimality, and more, significantly complementing the existing literature.This book will be of great interest to researchers in functional analysis, partial differential equations, dynamic systems and their optimal control, and their applications, advancing previous research and providing a foundation for further exploration of the field.

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field. It emerged from lectures and seminars given at the Federal University of Pernambuco, Brazil, known as one of the leading research centers in the theory of Hamiltonian dynamics.This book starts with a brief review of some results of linear algebra and advanced calculus, followed by the basic theory of Hamiltonian systems. The study of normal forms of Hamiltonian systems is covered by Ch.3, while Chapters 4 and 5 treat the normalization of Hamiltonian matrices. Stability in non-linear and linear systems are topics in Chapters 6 and 7. This work finishes with a study of parametric resonance in Ch. 8. All the background needed is presented, from the Hamiltonian formulation of the laws of motion to the application of the Krein-Gelfand-Lidskii theory of stronglystable systems.With a clear, self-contained exposition, this work is a valuable help to advanced undergraduate and graduate students, and to mathematicians and physicists doing research on this topic.

This book is a complete guide to using functions in Power Query and is designed to help users of all skill levels learn and master its various functions.The Ultimate Guide to Functions in Power Query begins with an introduction to Power Query and an overview of the different types of functions available, along with detailed explanations of how to use each of them. Yoüll see how to leverage power functions to process and transform large datasets from various sources and learn advanced techniques such as creating custom functions and using conditional statements. The book also covers best practices for using functions, including tips on how to optimize query performance and troubleshoot common errors. Using practical example applications, Author Omid Motamedisedeh demonstrates how to optimize your data processing workflows, saving time and boosting productivity.By the end of the book, readers will have a deep understanding of Power Query functions and be ableto apply their knowledge to a wide range of data analysis tasks.What You Will LearnMaster the fundamentals of Power Query, including how to load and transform data from various sourcesUnderstand all the functions available in Power Query, including text, date/time, logical, numeric, and moreUse functions to transform data and perform complex calculationsEmploy advanced techniques such as custom functions, conditional statements, and working with parametersOptimize query performance, handle errors, and use the M language effectivelyUse real-world examples and exercises to hone your skills and gain practical experience with the toolWho This Book Is ForAnyone who wants to learn how to use functions in Power Query to transform and analyze data. This includes data analysts, business analysts, Excel users, and data scientists. Readers should have a basic understanding of Excel and data analysis concepts, but may be new to Power Query and functions.