Matematik for ingeniører

The work titled "Measuring Software Reengineering: A Framework Based on Metric Sets" explores software reengineering, focusing on improving existing systems' performance and maintainability. It proposes a novel approach that employs metrics to guide the reengineering process and enhance software quality. The study recommends practical software measurement practices for evaluating the feasibility of enhancing system maintainability. Three case studies demonstrate the approach's effectiveness, transforming software with issues into more organized, efficient, and maintainable versions. The Rainfall model, incorporating metrics, serves as a structured method for reengineering, addressing different scenarios. The study emphasizes empirical validation, comparing the metric-based approach with traditional methods in real-world projects. Overall, it underscores metrics' potential in managing risks, optimizing reengineering efforts, and providing a systematic approach to software evolution and improvement.

This volume contains select papers presented during the 4th  National Conference on Multidisciplinary Analysis and Optimization. It discusses new developments at the core of optimization methods and their application in multiple applications. The papers showcase fundamental problems and applications which include domains such as aerospace, automotive and industrial sectors. The variety of topics and diversity of insights presented in the general field of optimization and its use in design for different applications will be of interest to researchers in academia or industry.

This monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods.In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids.This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models.Assuming background at the level of a Master's degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.

This book is intended for a wide range of researchers both from academia and industry interested in contributing to industries in an interdisciplinary way. The primary industries, including agriculture, fishery, and power industries, are the most fundamental infrastructure of the human societies. Traditionally, primary industries have been managed in the small family/community base, but with increase in population and development of society, the size of primary industry has grown. The efficiency, quality, and stability of these industries affect the societies significantly, so that they have become one of the major areas that mathematics could contribute to substantially. Also, primary industries are affected by the environment, where mathematical studies play an essential role. The conference was hosted by the research community in New Zealand, where such collaborative activities in mathematics between the industry and academia have been successfully established from an early stage. This enabled the conference to bring together a range of research topics- from pioneering works to cutting-edge results, from agriculture to geothermal energy and nuclear fusion, and from mathematical modeling and analysis to data analysis.

This book provides engineers and researchers knowledge to help them in system reliability analysis using machine learning, artificial intelligence, big data, genetic algorithm, information theory, multi-criteria decision making, and other techniques. It will also be useful to students learning reliability engineering.The book brings readers up to date with how system reliability relates to the latest techniques of AI, big data, genetic algorithm, information theory, and multi-criteria decision making and points toward future developments in the subject.

The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.

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 series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

This book introduces several mathematical models in assembly line balancing based on stochastic programming and develops exact and heuristic methods to solve them. An assembly line system is a manufacturing process in which parts are added in sequence from workstation to workstation until the final assembly is produced. In an assembly line balancing problem, tasks belonging to different product models are allocated to workstations according to their processing times and precedence relationships among tasks. It incorporates two features, uncertain task times, and demand volatility, separately and simultaneously, into the conventional assembly line balancing model. A real-life case study related to the mask production during the COVID-19 pandemic is presented to illustrate the application of the proposed framework and methodology. The book is intended for graduate students who are interested in combinatorial optimizations in manufacturing with uncertain input.

This book presents proceedings of the 14th Days of Bosnian-Herzegovinian American Academy of Arts and Sciences held in Tuzla, BIH, June 1¿4, 2023. Delve into the intellectual tapestry that emerged from this event, as we unveil our highly anticipated Conference Proceedings Book. This groundbreaking publication captures the essence of seven captivating technical sessions spanning from Civil Engineering through Power Electronics all the way to Data Sciences and Artificial Intelligence, each exploring a distinct realm of innovation and discovery. Uniting diverse disciplines, this publication catalyzes interdisciplinary collaboration, forging connections that transcend traditional boundaries. Within these pages, readers find a compendium of knowledge, insights, and research findings from leading researchers in their respective fields. The editors would like to extend special gratitude to the chairs of all symposia for their dedicated work in the production of this volume.

Artificial intelligence (AI) has the potential to significantly improve efficiency, reduce costs, and increase the speed and accuracy of financial decision-making, making it an increasingly important tool for financial professionals. One way that AI can improve efficiency in finance is by automating tasks and processes that are time-consuming and repetitive for humans. For example, AI algorithms can be used to analyze and process large amounts of data, such as financial statements and market data, in a fraction of the time that it would take a human to do so. This can allow financial professionals to focus on higher-value tasks, such as interpreting data and making strategic decisions, rather than being bogged down by mundane tasks. AI can also reduce costs in finance by increasing automation and eliminating the need for certain tasks to be performed manually. This can result in cost savings for financial institutions, which can then be passed on to customers in the form of lower fees or better services. AI can be used to identify unusual patterns of activity that may indicate fraudulent behavior. This can help financial institutions reduce losses from fraud and improve customer security. AI-powered chatbots and virtual assistants can help financial institutions provide faster, more efficient customer service, particularly when it comes to answering common questions and handling routine tasks. Some financial institutions are using AI to analyze market data and make trades in real-time. AI-powered trading algorithms can potentially make faster and more accurate trading decisions than humans. In terms of speed and accuracy, AI algorithms can analyze data and make decisions much faster than humans, and can do so with a high degree of accuracy. This can be particularly useful in fast-moving financial markets, where quick and accurate decision-making can be the difference between success and failure.This book highlights how AI in finance can improve efficiency,reduce costs, and increase the speed and accuracy of financial decision-making. Moreover, the book also focuses on how to ensure the responsible and ethical use of AI in finance.This book is a valuable resource for students, scholars, academicians, researchers, professionals, executives, government agencies, and policymakers interested in exploring the role of artificial intelligence (AI) in finance. Its goal is to provide a comprehensive overview of the latest research and knowledge in this area, and to stimulate further inquiry and exploration.

This textbook provides readers a comprehensive introduction to numerical methods, using MATLAB®. The authors discuss the theory and application of the most often used numerical methods, using MATLAB as a computational tool. The book is designed to be accessible to readers of varying backgrounds, so the presentation focuses more on the description, implementation, and application of the methods and less on the mathematical details. This book not only covers the most important methods and techniques of scientific computation, but also contains a great amount of code and implementations, facilitating the process of learning and application.

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 highlights several methods and quantitative implementations of both probabilistic and fuzzy-based approaches to uncertainty quantification and uncertainty propagation through environmental subsurface pollution models with uncertain input parameters. The book focuses on methods as well as applications in hydrogeology, soil hydrology, groundwater contamination, and related areas (e.g., corrosion of nuclear waste canisters). The methods are illustrated for a broad spectrum of models, from non-differential I/O models to complex PDE solvers, including a novel 3D quasi-analytical model of contaminant transport, and a site-specific computer model of dissolved contaminant migration from a DNAPL (Dense Non Aqueous Phase Liquid) pollution source.

This book provides a mechanical engineering-based analysis of wave dispersion response in various structures created from different materials. Looking at materials including strengthened nanocomposites, functionally graded materials, metal foams and anisotropic materials, it uses analytical solution methods to solve typical problems.

This book introduces Multi-objective design methods to solve Multi-objective optimization problems of linear/non-linear dynamic systems under intrinsic random fluctuation and external disturbance. All proposed design methods are based on rigorous theoretical results and their applications are focused on practical engineering design example.

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 summarizes new discoveries on fracturing in chalk. Based on studies on the Danish North Sea, this book shows how observations from outcrop analogues, core and seismic data can be used to characterize the density, distribution and geometry of natural fractures in chalk and marl. Laboratory experiments on chalk samples reveal the controls on the geomechanical properties of chalk and thus on the growth of natural fractures. Finally, various modeling techniques are employed to investigate the mechanical deformation in the chalk structures of the Danish North Sea and to predict fracture distribution and geometry in the subsurface. An understanding of fracture density, distribution and geometry is essential for planning efficient fluid extraction or injection strategies and CO2 sequestration. This book provides the necessary knowledge.

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 book contains high-quality refereed research papers presented at the 6th International Conference on Computer Science, Engineering, and Education Applications (ICCSEEA2023), which took place in Warsaw, Poland, on March 17¿19, 2023, and was organized by the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute¿, the National Aviation University, Lviv Polytechnic National University, the Polish Operational and Systems Society, Warsaw University of Technology, and the International Research Association of Modern Education and Computer Science. The book covers a variety of topics, including cutting-edge research in computer science, artificial intelligence, engineering techniques, smart logistics, and knowledge representation with educational applications. The book is an invaluable resource for academics, graduate students, engineers, management professionals, and undergraduate students who are interested in computer science and its applications in engineering and education.

This book provides several efficient Kalman filters (linear or nonlinear) under information theoretic criteria. They achieve excellent performance in complicated non-Gaussian noises with low computation complexity and have great practical application potential. The book combines all these perspectives and results in a single resource for students and practitioners in relevant application fields. Each chapter starts with a brief review of fundamentals, presents the material focused on the most important properties and evaluates comparatively the models discussing free parameters and their effect on the results. Proofs are provided at the end of each chapter. The book is geared to senior undergraduates with a basic understanding of linear algebra, signal processing and statistics, as well as graduate students or practitioners with experience in Kalman filtering.

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 book introduces analytic solution methods for viscous flow problems, which is important in fluid mechanics. The author, after many years of experience in teaching and research, has refined useful analytic methods to treat fluid mechanics problems. This book is written in concise and understandable terms and is beneficial to practicing scientists and engineers who would like to understand and solve laminar fluid mechanics problems. The author provides new materials and insights and presents examples that are succinct to illustrate the methodology.

This book is focused on the application of methodological approaches and systems of multiple criteria decision analysis (MCDA) in the field of resource management. Resource management constitutes a major challenge of modern times. The book comprehensively examines cases of human resources, material resources and natural resources in particular. It focuses on the efficient utilization of these resources to achieve sustainability of economic, environmental and social aspects. Also, the book presents methodological tools which aim to support the decision making at operational, executive and strategic levels.The book presents recent results of scientific research in the field of MCDA and its applications to resource management. It investigates the resource management challenges and introduces innovative methodological approaches and systems for addressing these resources management issues.