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This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis¿Kapustin (GCK) type. It presents a classification of the latter in terms of difference modules with parabolic structure, revealing a kind of Kobayashi¿Hitchin correspondence between differential geometric objects and algebraic objects. It also clarifies the asymptotic behaviour of these monopoles around infinity.The theory of periodic monopoles of GCK type has applications to Yang¿Mills theory in differential geometry and to the study of difference modules in dynamical algebraic geometry. A complete account of the theory is given, including major generalizations of results due to Charbonneau, Cherkis, Hurtubise, Kapustin, and others, and a new and original generalization of the nonabelian Hodge correspondence first studied by Corlette, Donaldson, Hitchin and Simpson.This work will be of interest to graduatestudents and researchers in differential and algebraic geometry, as well as in mathematical physics.

This book reviews evidence for the existence of information storing states present in specific materials systems called Topological Materials. It discusses how quantum computation, a possible technology for the future, demands unique paradigms where the information storing states are just not disturbed by classical forces. They are protected from environmental disturbance, suggesting that whatever information is stored in such states would could be safe forever. The authors explain how the topological aspect arises from the configuration or the shape of energy space. He further explains that the existence of related topological states has not been conclusively established in spite of significant experimental effort over the past decade. And The book as such illustrates the necessity for such investigations as well as application of the topological states for new computational technologies. The scope of coverage includes all the necessary mathematical and physics preliminaries (starting at the undergraduate level) enabling researchers to quickly understand the state of the art literature.

This book outlines the production of chitooligossacharides and their derivatives and discusses their main biological activities, biomedical applications and their role in disease prevention. Chitooligosaccharides are products of chitosan or chitin degradation, prepared by enzymatic or chemical hydrolysis of chitosan, and they consist mainly of N-acetyl glucosamine and glucosamine bonded with a glycosidic bond. Compared to chitin and chitosan, chitooligossacharides offer advantages for large-scale and commercial applications due to their solubility in water and lower molecular weight.Written by leading experts, this book is divided into four parts. The first part provides a general introduction to chitooligossacharides. The second part focuses on the bioproduction of chitooligossacharides through enzymatic synthesis and also covers physical and chemical methods of synthesis. The third part explores the major biological activities of chitooligosaccharides, including antioxidant, antimicrobial, anti-allergic, anti-inflammatory, anti-cancer and neuroprotective activities, and discusses the disease preventing mechanisms of chitooligosaccharides. In this section, readers will also find about the latest in vivo studies which support the use of chitooligosaccharides in the prevention and control of disease. The final part highlights important biomedical applications of chitooligosaccharides, including in tissue engineering, drug delivery and wound healing applications. It also includes the volume editor¿s perspective on the health and safety risks of chitooligosaccharides.Given its scope, this book is useful not only for researches in the field but also for students interested in biomaterials, pharmaceuticals, marine biotechnology, nutraceuticals and food science.

In this book, Dr. Soofastaei and his colleagues reveal how all mining managers can effectively deploy advanced analytics in their day-to-day operations- one business decision at a time.Most mining companies have a massive amount of data at their disposal. However, they cannot use the stored data in any meaningful way. The powerful new business tool-advanced analytics enables many mining companies to aggressively leverage their data in key business decisions and processes with impressive results.From statistical analysis to machine learning and artificial intelligence, the authors show how many analytical tools can improve decisions about everything in the mine value chain, from exploration to marketing.Combining the science of advanced analytics with the mining industrial business solutions, introduce the ¿Advanced Analytics in Mining Engineering Book¿ as a practical road map and tools for unleashing the potential buried in yourcompany¿s data.The book is aimed at providing mining executives, managers, and research and development teams with an understanding of the business value and applicability of different analytic approaches and helping data analytics leads by giving them a business framework in which to assess the value, cost, and risk of potential analytical solutions. In addition, the book will provide the next generation of miners ¿ undergraduate and graduate IT and mining engineering students ¿ with an understanding of data analytics applied to the mining industry. By providing a book with chapters structured in line with the mining value chain, we will provide a clear, enterprise-level view of where and how advanced data analytics can best be applied. This book highlights the potential to interconnect activities in the mining enterprise better. Furthermore, the book explores the opportunities for optimization and increased productivity offered by better interoperability along the mining value chain ¿ in line with the emerging vision of creating a digital mine with much-enhanced capabilities for modeling, simulation, and the use of digital twins ¿ in line with leading ¿digital¿ industries.

The papers in this volume are from the Ninth International Conference on Design Computing and Cognition (DCC¿20) held virtually at the Georgia Institute of Technology, Atlanta, USA. They represent the state-of-the-art of research and development in design computing and design cognition including the increasingly active area of design cognitive neuroscience. They are of particular interest to design researchers, developers and users of advanced computation in designing as well as to design educators. This volume contains knowledge about the cognitive behavior of designers, which is valuable for those who need to gain a better understanding of designing.

This book contains works on mathematical and simulation modeling of processes in various domains: ecology and geographic information systems, IT, industry, and project management. The development of complex multicomponent systems requires an increase in accuracy, efficiency, and adequacy while reducing the cost of their creation. The studies presented in the book are useful to specialists who involved in the development of real events models-analog, management and decision-making models, production models, and software products. Scientists can get acquainted with the latest research in various decisions proposed by leading scholars and identify promising directions for solving complex scientific and practical problems. The chapters of this book contain the contributions presented on the 16th International Scientific-practical Conference, MODS, June 28¿July 01, 2021, Chernihiv, Ukraine.

The Mathematics of Errors presents an original, rigorous and systematic approach to the calculus of errors, targeted at both the engineer and the mathematician.Starting from Gauss's original point of view, the book begins as an introduction suitable for graduate students, leading to recent developments in stochastic analysis and Malliavin calculus, including contributions by the author. Later chapters, aimed at a more mature audience, require some familiarity with stochastic calculus and Dirichlet forms. Sensitivity analysis, in particular, plays an important role in the book. Detailed applications in a range of fields, such as engineering, robotics, statistics, financial mathematics, climate science, or quantum mechanics are discussed through concrete examples. Throughout the book, error analysis is presented in a progressive manner, motivated by examples and appealing to the reader¿s intuition.By formalizing the intuitive concept of error and richly illustrating its scope for application, this book provides readers with a blueprint to apply advanced mathematics in practical settings. As such, it will be of immediate interest to engineers and scientists, whilst providing mathematicians with an original presentation.Nicolas Bouleau has directed the mathematics center of the Ecole des Ponts ParisTech for more than ten years. He is known for his theory of error propagation in complex models. After a degree in engineering and architecture, he decided to pursue a career in mathematics under the influence of Laurent Schwartz. He has also written on the production of knowledge, sustainable economics and mathematical models in finance. Nicolas Bouleau is a recipient of the Prix Montyon from the French Academy of Sciences.

This second volume of a two-volume work reviews beneficial bioactive compounds from various microorganisms such as bacteria, fungi, cyanobacteria in plant diseases management and the postharvest management of fruits using microbial antagonists. Furthermore, it reviews the impact of climate change on food security and addressed the legal aspects of microbial biocontrol applications.The two-volume work ¿Microbial Biocontrol¿ introduces to mechanisms of plant-microbe interactions and explores latest strategies of how microbes can be applied in biocontrol and management of plant pathogens, replacing chemical fertilizers and pesticides. The book covers different groups of microorganisms such as bacteria, fungi, but also the interplay of entire microbiomes, and reviews their specific benefits in crop growth promotion, in enhancing the plants¿ tolerance against biotic and abiotic stress as well as in post-harvest management of various plant diseases. Novel tools such as CRISPR/Cas9 and microbe derived nanoparticles are also addressed besides the legal aspects of biocontrol applications.Today, rising global population and changing climatic conditions emerge as a major challenge for agronomist farmers and researchers in fulfilling the requirements of global food production. The conventional agricultural practices utilize undistributed use of chemical fertilizers and pesticides to enhance growth and yield of agricultural products and fresh foods, but their extensive and continuous use have led to a range of negative consequences on the food quality and safety, to environment as well as to human and animal health. Microbial biocontrol applications are presented as a solution, paving the way to a sustainable agriculture in compliance with the UN Sustainable Development Goals (SDG).The book addresses researchers in academia and agriculture.

The ten-volume set LNCS 12949 - 12958 constitutes the proceedings of the 21st International Conference on Computational Science and Its Applications, ICCSA 2021, which was held in Cagliari, Italy, during September 13 - 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics as multicore architectures, blockchain, mobile and wireless security, sensor networks, open source software, collaborative and social computing systems and tools, cryptography, applied mathematics human computer interaction, software design engineering, and others. Part IV of the set includes the papers on Urban and Regional Planning and the proceedings of the following workshops: ¿International Workshop on Blockchain and Distributed Ledgers: Technologies and Applications (BDLTA 2021); International Workshop on Computational and Applied Mathematics (CAM 2021); International Workshop on Computational and Applied Statistics (CAS 2021); International Workshop on Computerized Evaluation of Economic Activities: Urban Spaces (CEEA 2021).The chapter "Housing automated price valuation and spatial data" and "Spatial Automated Valuation Model (sAVM) - from the notion of space to the design of an evaluation tool" are published open access under a CC BY license (Creative Commons Attribution 4.0 International License).

In the third and final book of his iconic piano etudes György Ligeti charts a new path relative to the rest of his musical output, representing a significant arrival in a composer¿s oeuvre known for its stylistic transformations. This monograph is the first dedicated study of these capstone works, investigating them through a novel lens of statistical-graphical analysis that illuminates their compositional uniqueness as well as broader questions regarding the perception of stability in musical texture.With nearly 200 graphical illustrations and a detailed commentary, this examination reveals the unique manner in which Ligeti treads between tonality and atonality¿a key idea in his late style¿and the centrality of processes related to broader scale areas (or ¿macroharmony¿) in articulating structures and narratives. The analytical techniques developed here are a powerful tool for investigating macroharmonic stability that can be applied to a wide range of repertoire beyond these works.This book is intended for graduate-level and professional music theorists, musicologists, performers and mathematicians.