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Industry and Innovation: Textile Industry (SDGs and Textiles)
by José Moleiro MartinsThe primary objective of this book is to offer readers an insightful exploration into the realms of innovation and sustainability within the textile industry. As global competition intensifies, organizations are increasingly compelled to revisit and refine their business strategies, emphasizing the imperative for continuous innovation and adaptability. This shift towards innovation-centric strategies is driven by the pursuit of sustainability and a competitive advantage, underscoring innovation as the cornerstone for business growth and market expansion. Innovation not only opens avenues for companies to overhaul their business models and enhance process technologies but also enables them to achieve optimal productivity and minimize waste. In an era characterized by swift technological advancements, the demand for rapid information flow, and evolving consumer preferences, a firm’s capability to innovate emerges as a critical determinant of its growth, sustainability, and competitive positioning in the textile sector. Process innovation, which entails the adoption of novel or significantly improved manufacturing or delivery methodologies, plays a pivotal role. This could involve substantial modifications in techniques, equipment, and/or software, aimed at bolstering production efficiency, augmenting quality, or facilitating the creation and delivery of significantly improved or new products. Manufacturing firms, through their marketing departments, are in a constant quest for opportunities to develop new products to maintain their competitive edge. Organizations that lag in embracing innovation risk losing their market share and profitability as competitors seize the opportunity to outperform them. A firm’s innovative capabilities are instrumental in fostering long-term market sustainability and business growth by delivering unparalleled value to customers. Consequently, innovation is integral to corporate strategies for a myriad of reasons – from achieving more efficient production processes and enhancing market performance to cultivating a forward-thinking brand image and securing a sustainable competitive advantage.
Inequalities
by Michael J. Cloud Byron C. Drachman Leonid P. LebedevThis book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy-Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality. The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry or any other quantitative science.
Inequalities
by Zdravko CvetkovskiThis work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.
Inequalities
by G. H. Hardy J. E. Littlewood G. PólyaThis classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.
Inequalities and Applications 2010: Dedicated To The Memory Of Wolfgang Walter (International Series Of Numerical Mathematics Series #161)
by Catherine Bandle Attila Gilányi László Losonczi Michael PlumInequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.
Inequalities for Graph Eigenvalues
by Zoran StaniWritten for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.
Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
by Silvestru Sever DragomirAimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned.
Inequalities in Geographical Space
by Clementine Cottineau Julie ValleeInequalities are central to the public debate and social science research. They are inextricably linked to geographical space, shaping human mobility and migration patterns, creating diverse living environments and changing individuals’ perceptions of the society they live in and the inequalities that endure within it. Geographical space contributes to the emergence and perpetuation of inequalities between individuals according to their socioeconomic position, gender, ethno-racial origin or even their age. <p><p> Inequalities in Geographical Space examines inequalities in education, in the workplace, in public and private spaces and those related to migration. Written by geographers, sociologists and economists, this book draws on a variety of theoretical and methodological approaches and compares different spatial and temporal scales. It highlights the importance of geographical space as a vehicle for the expression, creation and reproduction of social, racial, economic and gender inequalities.
Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations: Representation-theoretical Viewpoint for Quantum Phenomena (Mathematical Physics Studies)
by Asao AraiCanonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.
Infectious Diseases and Our Planet (Mathematics of Planet Earth #7)
by Miranda I. Teboh-Ewungkem Gideon Akumah NgwaThis book features recent research in mathematical modeling of indirectly and directly transmitted infectious diseases in humans, animals, and plants. It compiles nine not previously published studies that illustrate the dynamic spread of infectious diseases, offering a broad range of models to enrich understanding. It demonstrates the capability of mathematical modeling to capture disease spread and interaction dynamics as well as the complicating factors of various evolutionary processes. In addition, it presents applications to real-world disease control by commenting on key parameters and dominant pathways related to transmission. While aimed at early-graduate level students, the book can also provide insights to established researchers in that it presents a survey of current topics and methodologies in a constantly evolving field.
Inference and Asymptotics (Chapman And Hall/crc Monographs On Statistics And Applied Probability Ser. #52)
by D.R. CoxOur book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.
Inference and Intervention: Causal Models for Business Analysis
by Michael D. Ryall Aaron L. BramsonRyall and Bramson's Inference and Intervention is the first textbook on causal modeling with Bayesian networks for business applications. In a world of resource scarcity, a decision about which business elements to control or change – as the authors put it, a managerial intervention – must precede any decision on how to control or change them, and understanding causality is crucial to making effective interventions. The authors cover the full spectrum of causal modeling techniques useful for the managerial role, whether for intervention, situational assessment, strategic decision-making, or forecasting. From the basic concepts and nomenclature of causal modeling to decision tree analysis, qualitative methods, and quantitative modeling tools, this book offers a toolbox for MBA students and business professionals to make successful decisions in a managerial setting.
Inference for Diffusion Processes
by Christiane FuchsDiffusion processes are a promising instrument for realistically modelling the time-continuous evolution of phenomena not only in the natural sciences but also in finance and economics. Their mathematical theory, however, is challenging, and hence diffusion modelling is often carried out incorrectly, and the according statistical inference is considered almost exclusively by theoreticians. This book explains both topics in an illustrative way which also addresses practitioners. It provides a complete overview of the current state of research and presents important, novel insights. The theory is demonstrated using real data applications.
Inference Principles for Biostatisticians (Chapman & Hall/CRC Biostatistics Series)
by Ian C. MarschnerDesigned for students training to become biostatisticians as well as practicing biostatisticians, Inference Principles for Biostatisticians presents the theoretical and conceptual foundations of biostatistics. It covers the theoretical underpinnings essential to understanding subsequent core methodologies in the field.Drawing on his extensive exper
Inferential Models: Reasoning with Uncertainty (ISSN)
by Chuanhai Liu Ryan MartinA New Approach to Sound Statistical ReasoningInferential Models: Reasoning with Uncertainty introduces the authors' recently developed approach to inference: the inferential model (IM) framework. This logical framework for exact probabilistic inference does not require the user to input prior information. The authors show how an IM produces meaning
Inferenzstatistik verstehen: Von A wie Signifikanztest bis Z wie Konfidenzintervall (Springer-lehrbuch Ser.)
by Markus Janczyk Roland PfisterWas bedeutet eigentlich dieser p-Wert? Und was ist ein signifikantes Ergebnis? Dieses Buch bietet eine kompakte und verständnisorientierte Einführung in die Inferenzstatistik und beantwortet Fragen wie diese. Ein Schwerpunkt ist dabei die Logik, die der Inferenzstatistik und dem Testen von Hypothesen zugrunde liegt: Die Leserin und der Leser lernen die am häufigsten verwendeten Verfahren (t-Test, Varianzanalyse mit und ohne Messwiederholung, Korrelation/Regression) sowie die Tücken der Datenauswertung kennen und entwickeln das nötige Verständnis, um Ergebnisse korrekt interpretieren zu können. Die einzelnen Kapitel werden durch konkrete Auswertungsbeispiele aus dem Forschungsalltag ergänzt – inklusive exemplarischer Umsetzung mit den Programmen SPSS und R. Neben den klassischen Methoden sind auch Querverweise auf aktuelle Entwicklungen der psychologischen Methodenforschung enthalten. Die 3. Auflage bietet inhaltliche Überarbeitungen und Ergänzungen, etwa zur Bayes-Statistik.
Infertility in Medieval and Early Modern Europe: Premodern Views on Childlessness
by Regina ToepferThis book examines discourses around infertility and views of childlessness in medieval and early modern Europe. Whereas in our own time reproductive behaviour is regulated by demographic policy in the interest of upholding the intergenerational contract, premodern rulers strove to secure the succession to their thrones and preserve family heritage. Regardless of status, infertility could have drastic consequences, above all for women, and lead to social discrimination, expulsion, and divorce. Rather than outlining a history of discrimination against or the suffering of infertile couples, this book explores the mechanisms used to justify the unequal treatment of persons without children. Exploring views on childlessness across theology, medicine, law, demonology, and ethics, it undertakes a comprehensive examination of ‘fertility’ as an identity category from the perspective of new approaches in gender and intersectionality research. Shedding light on how premodern views have shaped understandings our own time, this book is highly relevant interest to students and scholars interested in discourses around infertility across history.
The Infinite
by A. W. MooreAnyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.
Infinite Abelian Groups (Dover Books on Mathematics)
by Irving KaplanskyIn the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." <P><P>Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory.Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. <P><P>Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.
Infinite Ascent
by David BerlinskiIn Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton's Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure.Berlinski focuses on the ten most important breakthroughs in mathematical history-and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.From the Hardcover edition.
Infinite Crossed Products (Dover Books on Mathematics #Volume 135)
by Prof. Donald S. PassmanThis groundbreaking monograph in advanced algebra addresses crossed products. Author Donald S. Passman notes that crossed products have advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings. Suitable for advanced undergraduates and graduate students of mathematics, the text examines crossed products and group-graded rings, delta methods and semiprime rings, the symmetric ring of quotients, and prime ideals, both in terms of finite and Noetherian cases. Additional topics include group actions and fixed rings, group actions and Galois theory, Grothendieck groups and induced modules, and zero divisors and idempotents.
The Infinite Desire for Growth
by Daniel Cohen Jane ToddWhy society’s expectation of economic growth is no longer realisticEconomic growth--and the hope of better things to come—is the religion of the modern world. Yet its prospects have become bleak, with crashes following booms in an endless cycle. In the United States, eighty percent of the population has seen no increase in purchasing power over the last thirty years and the situation is not much better elsewhere. The Infinite Desire for Growth spotlights the obsession with wanting more, and the global tensions that have arisen as a result. Amid finite resources, increasing populations, environmental degradation, and political unrest, the quest for new social and individual goals has never been so critical.Leading economist Daniel Cohen provides a whirlwind tour of the history of economic growth, from the early days of civilization to modern times, underscoring what is so unsettling today. The new digital economy is establishing a "zero-cost" production model, inexpensive software is taking over basic tasks, and years of exploiting the natural world have begun to backfire with deadly consequences. Working hard no longer guarantees social inclusion or income. Drawing on economics, anthropology, and psychology, and thinkers ranging from Rousseau to Keynes and Easterlin, Cohen examines how a future less dependent on material gain might be considered and, how, in a culture of competition, individual desires might be better attuned to the greater needs of society.At a time when wanting what we haven't got has become an obsession, The Infinite Desire for Growth explores the ways we might reinvent, for the twenty-first century, the old ideal of social progress.
Infinite Dimensional Analysis, Quantum Probability and Applications: QP41 Conference, Al Ain, UAE, March 28–April 1, 2021 (Springer Proceedings in Mathematics & Statistics #390)
by Luigi Accardi Farrukh Mukhamedov Ahmed Al RawashdehThis proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more. By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.
Infinite Dimensional Dynamical Systems (Fields Institute Communications Ser. #64)
by Jianhong Wu John Mallet-Paret Yingfei Yi Huaiping ZhuThis collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by evolutionary equations describing the evolutions in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among major sources of motivation and applications of new developments of nonlinear analysis and other mathematical theories. Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects the pioneering work and influence of Professor Sell in a few core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.
Infinite Groups: A Roadmap to Selected Classical Areas
by Martyn R. Dixon Leonid A. Kurdachenko Igor Ya. SubbotinIn recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Selected Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.