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Mellin-Barnes Integrals: A Primer on Particle Physics Applications (Lecture Notes in Physics #1008)
by Ievgen Dubovyk Janusz Gluza Gábor SomogyiIn this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.
Melody and Harmony
by Diana Thistle Tremblay Annette CateDid you know that music is all about math? Every good composer knows their scales, along with the repetition, frequencies, and vibration that go into making harmonies and melodies that are pleasing to hear.
Membrane Biophysics
by Jack A. Tuszynski Mohammad AshrafuzzamanPhysics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes. Besides simple spectroscopic observations and electrical measurements of membranes we address in this book the phenomena of coexistence and independent existence of different membrane components using various theoretical approaches. This treatment will be helpful for readers who want to understand biological processes by applying both simple observations and fundamental scientific analysis. It provides a deep understanding of the causes and effects of processes inside membranes, and will thus eventually open new doors for high-level pharmaceutical approaches towards fighting membrane- and cell-related diseases.
Membrane Filtration
by Greg FoleyFocusing on the application of membranes in an engineering context, this hands-on computational guide makes previously challenging problems routine. It formulates problems as systems of equations solved with MATLAB, encouraging active learning through worked examples and end-of-chapter problems. The detailed treatments of dead-end filtration include novel approaches to constant rate filtration and filtration with a centrifugal pump. The discussion of crossflow microfiltration includes the use of kinetic and force balance models. Comprehensive coverage of ultrafiltration and diafiltration processes employs both limiting flux and osmotic pressure models. The effect of fluid viscosity on the mass transfer coefficient is explored in detail, the effects of incomplete rejection on the design and analysis of ultrafiltration and diafiltration are analysed, and quantitative treatments of reverse osmosis and nanofiltration process analysis and design are explored. Includes a chapter dedicated to the modelling of membrane fouling.
Memetic Computation: The Mainspring Of Knowledge Transfer In The Data-driven Optimization Era (Adaptation, Learning, and Optimization #21)
by Abhishek Gupta Yew-Soon OngThis book bridges the widening gap between two crucial constituents of computational intelligence: the rapidly advancing technologies of machine learning in the digital information age, and the relatively slow-moving field of general-purpose search and optimization algorithms. With this in mind, the book serves to offer a data-driven view of optimization, through the framework of memetic computation (MC). The authors provide a summary of the complete timeline of research activities in MC – beginning with the initiation of memes as local search heuristics hybridized with evolutionary algorithms, to their modern interpretation as computationally encoded building blocks of problem-solving knowledge that can be learned from one task and adaptively transmitted to another. In the light of recent research advances, the authors emphasize the further development of MC as a simultaneous problem learning and optimization paradigm with the potential to showcase human-like problem-solving prowess; that is, by equipping optimization engines to acquire increasing levels of intelligence over time through embedded memes learned independently or via interactions. In other words, the adaptive utilization of available knowledge memes makes it possible for optimization engines to tailor custom search behaviors on the fly – thereby paving the way to general-purpose problem-solving ability (or artificial general intelligence). In this regard, the book explores some of the latest concepts from the optimization literature, including, the sequential transfer of knowledge across problems, multitasking, and large-scale (high dimensional) search, systematically discussing associated algorithmic developments that align with the general theme of memetics. The presented ideas are intended to be accessible to a wide audience of scientific researchers, engineers, students, and optimization practitioners who are familiar with the commonly used terminologies of evolutionary computation. A full appreciation of the mathematical formalizations and algorithmic contributions requires an elementary background in probability, statistics, and the concepts of machine learning. A prior knowledge of surrogate-assisted/Bayesian optimization techniques is useful, but not essential.
Memetics and Evolutionary Economics: To Boldly Go Where no Meme has Gone Before (Economic Complexity and Evolution)
by Michael P. SchlaileThis book explores the question of whether and how meme theory or “memetics” can be fruitfully utilized in evolutionary economics and proposes an approach known as “economemetics” which is a combination of meme theory and complexity theory that has the potential to combat the fragmentation of evolutionary economics while re-connecting the field with cultural evolutionary theory. By studying the intersection of cultural and economic evolution, complexity economics, computational economics, and network science, the authors establish a connection between memetics and evolutionary economics at different levels of investigation. The book first demonstrates how a memetic approach to economic evolution can help to reveal links and build bridges between different but complementary concepts in evolutionary economics. Secondly, it shows how organizational memetics can help to capture the complexity of organizational culture using meme mapping. Thirdly, it presents an agent-based simulation model of knowledge diffusion and assimilation in innovation networks from a memetic perspective. The authors then use agent-based modeling and social network analysis to evaluate the diffusion pattern of the Ice Bucket Challenge as an example of a “viral meme.” Lastly, the book discusses the central issues of agency, creativity, and normativity in the context of economemetics and suggests promising avenues for further research.
Memory Functions, Projection Operators, and the Defect Technique: Some Tools of the Trade for the Condensed Matter Physicist (Lecture Notes in Physics #982)
by V. M. KenkreThis book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique. Memory functions appear in the formalism of the generalized master equations that express the time evolution of probabilities via equations non-local in time, projection operators allow the extraction of parts of quantities, such as the diagonal parts of density matrices in statistical mechanics, and the defect technique allows solution of transport equations in which the translational invariance is broken in small regions, such as when crystals are doped with impurities. These three methods combined form an immensely useful toolkit for investigations in such disparate areas of physics as excitation in molecular crystals, sensitized luminescence, charge transport, non-equilibrium statistical physics, vibrational relaxation, granular materials, NMR, and even theoretical ecology. This book explains the three techniques and their interrelated nature, along with plenty of illustrative examples. Graduate students beginning to embark on a research project in condensed matter physics will find this book to be a most fruitful source of theoretical training.
Memristive Computing
by Pinaki Mazumder Xiao Feng Yongbin Yu Xiangxiang Wang Jiarun Shen Nyima TashiThis book delves into a wide array of topics, ranging from memristor and its emulator to chaotic circuits based on memristor, memristor-based en/decryption systems, filter design based on memristive family, memristive filter for signal processing, memristor network-based swarm intelligence, dynamic analysis of memristive neural networks, and the application of memristor-based neural networks. It provides a comprehensive and systematic exploration of how memristors empower and drive cutting-edge research in neuromorphic computing and artificial intelligence. This book encourages fostering interdisciplinary information literacy and cultivating cross-disciplinary computational thinking. This book plays a pivotal role in embracing and advancing the development of neuromorphic computing. Through profound foundational theories and academic analysis methods, this book guides artificial intelligence graduate students and engineering professionals in constructing a comprehensive knowledge and technological framework for memristor research.
Memristive Nonlinear Electronic Circuits: Dynamics, Synchronization and Applications (SpringerBriefs in Applied Sciences and Technology)
by Fadhil Rahma Saif MuneamMemristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls. For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.
Men of Mathematics
by E. T. BellHere is the classic, much-read introduction to the craft and history of mathematics by E.T. Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.
Menahem Max Schiffer: Selected Papers Volume 1
by Peter Duren Lawrence ZalcmanM. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields.<P><P> Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers.
Menahem Max Schiffer: Selected Papers Volume 2
by Peter Duren Lawrence ZalcmanM. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields.<P><P> Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers.
Mendelian Randomization: Methods for Causal Inference Using Genetic Variants (Chapman & Hall/CRC Interdisciplinary Statistics)
by Stephen Burgess Simon G. ThompsonMendelian Randomization: Methods For Causal Inference Using Genetic Variants provides thorough coverage of the methods and practical elements of Mendelian randomization analysis. It brings together diverse aspects of Mendelian randomization from the fields of epidemiology, statistics, genetics, and bioinformatics. Through multiple examples, the first part of the book introduces the reader to the concept of Mendelian randomization, showing how to perform simple Mendelian randomization investigations and interpret the results. The second part of the book addresses specific methodological issues relevant to the practice of Mendelian randomization, including robust methods, weak instruments, multivariable methods, and power calculations. The authors present the theoretical aspects of these issues in an easy-to-understand way by using non-technical language. The last part of the book examines the potential for Mendelian randomization in the future, exploring both methodological and applied developments. Features Offers first-hand, in-depth guidance on Mendelian randomization from leaders in the field Makes the diverse aspects of Mendelian randomization understandable to newcomers Illustrates technical details using data from applied analyses Discusses possible future directions for research involving Mendelian randomization Software code is provided in the relevant chapters and is also available at the supplementary website This book gives epidemiologists, statisticians, geneticists, and bioinformaticians the foundation to understand how to use genetic variants as instrumental variables in observational data. New in Second Edition: The second edition of the book has been substantially re-written to reduce the amount of technical content, and emphasize practical consequences of theoretical issues. Extensive material on the use of two-sample Mendelian randomization and publicly-available summarized data has been added. The book now includes several real-world examples that show how Mendelian randomization can be used to address questions of disease aetiology, target validation, and drug development
Menopause in Iranian Muslim Women: Gendered and Sexual Experiences of Menopausal Women
by Elham AminiThis book offers an original empirical study into the gendered and sexual experiences of Iranian Muslim women going through menopause. Using a biographical lifecourse lens, it explores the processes through which these experiences are shaped by hegemonic gender norms, as well as how these women express their agency. Centering the voices of Iranian Muslim women, this book links sexuality, ageing, and the body to the matter of menopause, conceived here as a gendered, embodied and lived phenomenon characterised both by cultural constraint and by individual reflexive body techniques. By considering gender and sexuality as vectors of power with internal politics, inequalities, and oppression alongside embodied practice, the author shows how the life course provides a trajectory of sex and sexuality that routes both in time, space, social and cultural context.
Menschen mit Demenz in der partizipativen Entwicklung von Technik: Möglichkeiten und Grenzen einer besonderen Kooperation
by Manuela Weidekamp-MaicherPartizipation an Forschung und Entwicklung gilt als Voraussetzung eines gelungenen Transfersvon Innovationen in die Gesellschaft. Dieser Zusammenhang besteht vor allem dann, wenninnovative Technik in den Mittelpunkt der Betrachtung rückt. Wie ist es jedoch um diePartizipation künftiger Nutzerinnen und Nutzer an der Erforschung neuer Technologienbestellt? Welche Möglichkeiten bestehen vor allem dann, wenn die zu entwickelnde Technikder Unterstützung vulnerabler Personengruppen dient? Menschen mit Demenz sind eine solcheZielgruppe, die vor dem Hintergrund des demografischen Wandels keinesfalls ignoriertwerden darf. Das Buch gibt einen Überblick über Chancen und Risiken, Möglichkeiten undGrenzen – vor allem jedoch über Besonderheiten – der Partizipation von Menschen mitDemenz an der Entwicklung von Technik und lädt dazu ein, deren Mitwirkung alsentscheidendes Element einer selbstbestimmten Lebensweltgestaltung zu betrachten und zuunterstützen.
Menschheitsproblem Klimaänderung: Naturwissenschaftliche Tatsachen mit philosophischen Betrachtungen und Beiträgen
by Albert FässlerDas vorliegende Buch analysiert den zukünftigen Temperaturverlauf der Erdoberfläche mithilfe eines naturwissenschaftlichen Modells und gibt eine Übersicht über die Ursachen und Auswirkungen des Klimawandels. Der Inhalt umfasst außerdem relevante Daten und Fakten zu den Themen Kohlenstoffbudget, Demographie, Gletscher, Permafrost, Artenvielfalt, Mobilität und Extremwetter. Die rasche globale Reduzierung des CO2-Anstiegs auf Netto-Null ist eine dringende Notwendigkeit, um nachfolgenden Generationen ein menschenwürdiges Leben zu ermöglichen. Die Industriestaaten tragen als Hauptverursacher eine moralische Verantwortung, die erwähnte Reduzierung zügig umzusetzen und die Entwicklungsländer in diesem Prozess zu unterstützen. Das Buch richtet sich auch an Personen mit wenig Bezug zur Mathematik.Die Produktfamilie WissensExpress bietet Ihnen Lehr- und Lernbücher in kompakter Form. Die Bücher liefern schnell und verständlich fundiertes Wissen.
Mental Magic: Surefire Tricks to Amaze Your Friends (Dover Children's Activity Books)
by Martin Gardner Jeff SinclairA barber in Chicago says he'd rather cut the hair of ten red-headed men than the hair of one brown-haired man. Can you guess why?Ask Professor Picanumba, a master of riddles who carries dozens of surefire tricks up his sleeve. He'll show you how to astonish your friends and family by predicting the answers to 88 word and number challenges. These tricks require only simple props--a deck of cards or a couple of pairs of dice, a calculator, and a pencil and paper. With or without an audience, these foolproof feats of mental magic offer hours of amusement. Solutions appear at the end, with 64 illustrations in between.Author Martin Gardner has written more than 70 books on subjects from science and math to poetry and religion. Well known for the mathematical games that appeared in Scientific American for decades and for his "Trick of the Month" column in Physics Teacher magazine, Gardner has had a lifelong passion for magic tricks and puzzles.
Mentoring Mathematics Teachers in the Secondary School: A Practical Guide (Mentoring Trainee and Early Career Teachers)
by Rosa Archer, Siân Morgan, David Swanson, Claire Clemmet and Stefanie SullivanThis practical workbook assists school-based mentors of mathematics teachers to develop their mentoring skills, offering mentors the essential guidance needed in order to effectively support trainee or newly qualified secondary mathematics teachers, as well as in their overall career development. Offering tried and tested strategies based on research and evidence, Mentoring Mathematics Teachers in the Secondary School covers the knowledge, skills and understanding every mentor needs and offers practical tools such as lesson plans and feedback sheets, observation sheets, case studies, sample dialogues and other learning activities and exercises. Together with analytical tools for self-evaluation, this book is a vital source of support and inspiration for all those involved in developing the next generation of outstanding mathematics teachers, whether in teacher training or as newly qualified or early-career teachers. Key topics explored include: Roles and responsibilities of mentors within mathematics education, and understanding yourself as a mentor The mentor–mentee relationship, and helping develop a beginning teacher’s identity Supporting specific aspects of beginning mathematics teachers’ knowledge, skills and understanding, including developing reflective practice, lesson planning and mathematical misconceptions Strategies for observation and analysis of lessons, marking, assessment and the use of data Mentoring for long-term career and teacher development Filled with the key tools needed for the mentor’s individual development, Mentoring Mathematics Teachers in the Secondary School offers an accessible and practical guide to mentoring trainee teachers and early-career teachers with ready-to-use strategies that support, inspire and elevate both mentors and teachers alike. This book also includes an online eResource offering downloadable resources and web-based training material.
Mere Thermodynamics
by Don S. LemonsPresenting classical thermodynamics as a concise and discrete whole, Mere Thermodynamics is a perfect tool for teaching a notoriously difficult subject.Accomplished teacher Don S. Lemons introduces the physical theory's concepts and methods and uses them to solve problems from a broad range of physics. He illustrates, at a gentle pace, not only the fundamentals of the subject but also advanced topics such as the relationship between the second law of thermodynamics and entropy. He highlights the intellectual structure and history of the discipline and explores the logical consequences of each of the famous three laws. Lemons explains and develops the first two laws and their corollaries, the methods and applications of thermodynamics, and the third law, as well as non-fluid variables, equilibrium and stability, and two-phase systems.The book features end-of-chapter practice problems, an appendix of worked problems, a glossary of terms, and an annotated bibliography.
Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context (Synthese Library #371)
by Claudio Calosi Pierluigi GrazianiThis volume is the first systematic and thorough attempt to investigate the relation and the possible applications of mereology to contemporary science. It gathers contributions from leading scholars in the field and covers a wide range of scientific theories and practices such as physics, mathematics, chemistry, biology, computer science and engineering. Throughout the volume, a variety of foundational issues are investigated both from the formal and the empirical point of view.The first section looks at the topic as it applies to physics. The section addresses questions of persistence and composition within quantum and relativistic physics and concludes by scrutinizing the possibility to capture continuity of motion as described by our best physical theories within gunky space times.The second part tackles mathematics and shows how to provide a foundation for point-free geometry of space switching to fuzzy-logic. The relation between mereological sums and set-theoretic suprema is investigated and issues about different mereological perspectives such as classical and natural Mereology are thoroughly discussed.The third section in the volume looks at natural science. Several questions from biology, medicine and chemistry are investigated. From the perspective of biology, there is an attempt to provide axioms for inferring statements about part hood between two biological entities from statements about their spatial relation. From the perspective of chemistry, it is argued that classical mereological frameworks are not adequate to capture the practices of chemistry in that they consider neither temporal nor modal parameters.The final part introduces computer science and engineering. A new formal mereological framework in which an indeterminate relation of part hood is taken as a primitive notion is constructed and then applied to a wide variety of disciplines from robotics to knowledge engineering. A formal framework for discrete mereotopology and its applications is developed and finally, the importance of mereology for the relatively new science of domain engineering is also discussed.
Mergers & Acquisitions: Theory, Strategy, Finance
by Mohammed IbrahimiThis book deals with corporate mergers and acquisitions by analyzing the financial and strategic aspects. It starts with a chronological justification of the evolution of external growth operations and ends with case studies in order to put into practice the theoretical contribution of the previous titles. Through this book, we wish to detail the types of mergers and acquisitions, their modes, their motivations, their consequences and their performances. First of all, we propose a panoply of scientific research, methodological explanations and logical structuring to expose a subject of experience considered for a long time as a phenomenon in finance. Then, through a sample of 90 mergers or acquisitions, we analyze the effects of these transactions on French companies.
Merging Numeracy with Literacy Practices for Equity in Multilingual Early Year Settings
by Robyn Jorgensen Mellony GravenThis book draws on both in and out of school literacy practices with teachers and families to enhance the numeracy of early learners. It provides highly illustrative exemplars, targeted for learners up to approximately eight years of age whose home language differs from the language of instruction. It identifies the challenges faced by these learners and their families, and shares ways of building both literacy and numeracy skills for some of the vulnerable learners nationally and internationally.The book shares the outcomes and strategies for teaching mathematics to early years learners and highlights the importance of literacy practices for learners for whom the language of instruction is different from their home language. Readers will gain a practical sense of how to create contexts, classrooms and practices to scaffold these learners to build robust understandings of mathematics.
Merrill Algebra 1
by FosterDr. Miles Bennett discovers that his patients' strange behavior is due to an invasion of giant alien "pods," which are taking over the bodies of Santa Mira's citizens as they sleep.
Merrill Algebra 2 with Trigonometry: Applications and Connections
by Glencoe McGraw-Hill StaffAlgebra textbook
Mesh Adaptation for Computational Fluid Dynamics, Volume 1: Continuous Riemannian Metrics and Feature-based Adaptation
by Frederic Alauzet Adrien Loseille Alain Dervieux Bruno KoobusSimulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction.Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution.This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.