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Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields
by Anatoly KochubeiProvides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat
Pseudo-Differential Operators: Groups, Geometry and Applications
by M. W. Wong Hongmei ZhuThis volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.
Pseudo-Hermitian Random Matrices
by Mauricio Porto PatoThis book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random matrix theory community. The chapters that follow discuss the consequences of the pseudo-Hermitian condition to the eigen-decomposition of non-Hermitian matrices, and an investigation of pseudo-Hermitian random matrices in tridiagonal form, discussing the scenario with real eigenvalues, and the appearance of complex eigenvalues generated by unbound and non-positive metrics. Subsequently, the author introduces pseudo-Hermitian Gaussian matrices and their properties including characteristic polynomials, and statistical properties of their eigenvalues. Finally, in the last chapter, the time invariance of the metric is upended and a pseudo-Hermitian model with a time dependent metricis constructed to discuss the time evolution of entangled states.
Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics #2329)
by Alex KaltenbachThis book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions.Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.
Pseudo-Populations
by Andreas QuatemberThis book emphasizes that artificial or pseudo-populations play an important role in statistical surveys from finite universes in two manners: firstly, the concept of pseudo-populations may substantially improve users' understanding of various aspects in the sampling theory and survey methodology; an example of this scenario is the Horvitz-Thompson estimator. Secondly, statistical procedures exist in which pseudo-populations actually have to be generated. An example of such a scenario can be found in simulation studies in the field of survey sampling, where close-to-reality pseudo-populations are generated from known sample and population data to form the basis for the simulation process. The chapters focus on estimation methods, sampling techniques, nonresponse, questioning designs and statistical disclosure control. This book is a valuable reference in understanding the importance of the pseudo-population concept and applying it in teaching and research.
Pseudo-reductive Groups
by Brian Conrad Ofer Gabber Gopal PrasadPseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems.
Pseudo-Riemannian Homogeneous Structures (Developments in Mathematics #59)
by Marco Castrillón López Giovanni CalvarusoThis book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found. The present work covers a gap in the literature of more than 35 years, presenting the latest contributions to the field in a modern geometric approach, with special focus on manifolds equipped with pseudo-Riemannian metrics. This unique reference on the topic will be of interest to researchers working in areas of mathematics where homogeneous spaces play an important role, such as Differential Geometry, Global Analysis, General Relativity, and Particle Physics.
Pseudocompact Topological Spaces: A Survey of Classic and New Results with Open Problems (Developments in Mathematics #55)
by Michael Hrušák Ángel Tamariz-Mascarúa Mikhail TkachenkoThis book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures. The collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.
Pseudodifferential Equations Over Non-Archimedean Spaces
by W. A. Zúñiga-GalindoFocusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.
Pseudodifferential Operators and Wavelets over Real and p-adic Fields (Applied and Numerical Harmonic Analysis)
by Nguyen Minh ChuongThis monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.
Psychological Statistics: The Basics (The Basics)
by Thomas J. FaulkenberryPsychological Statistics: The Basics walks the reader through the core logic of statistical inference and provides a solid grounding in the techniques necessary to understand modern statistical methods in the psychological and behavioral sciences. This book is designed to be a readable account of the role of statistics in the psychological sciences. Rather than providing a comprehensive reference for statistical methods, Psychological Statistics: The Basics gives the reader an introduction to the core procedures of estimation and model comparison, both of which form the cornerstone of statistical inference in psychology and related fields. Instead of relying on statistical recipes, the book gives the reader the big picture and provides a seamless transition to more advanced methods, including Bayesian model comparison. Psychological Statistics: The Basics not only serves as an excellent primer for beginners but it is also the perfect refresher for graduate students, early career psychologists, or anyone else interested in seeing the big picture of statistical inference. Concise and conversational, its highly readable tone will engage any reader who wants to learn the basics of psychological statistics.
Psychological Testing and Assessment (12th edition)
by Lewis R. Aiken Gary Groth-MarnatThe aim of this text is to improve the knowledge, understanding, and practices of persons who construct tests, take tests, and ponder over the meaning and value of test scores. The emphasis is on psychological testing in educational, clinical, and industrial settings. Included is a detailed study guide divided among the 15 chapters and four appendices, as well as overviews, boldfaced terms and names, exercises, and, of course, tests. An MS-DOS diskette containing accompanying programs to construct, administer, and score tests can be obtained free of charge from the author. Annotation c. by Book News, Inc. , Portland, Or.
Psychological Testing Principles and Applications (5th edition)
by Kevin C. Murphy Charles O. DavidshoferStep by step guide to psychological tests
Psychologie des Geschichtenerzählens
by Tobias C. BreinerIn diesem Buch geht es um die Psychologie guter Geschichten und deren Handlungsfiguren. Es beantwortet Fragen wie:Warum rühren uns manche Filme zu Tränen und andere lassen uns kalt?Warum fesseln uns manche Romane so, dass wir bis tief in die Nacht weiterlesen? Warum quälen wir uns dagegen durch manche Pflichtlektüre hindurch?Warum zocken wir manches Adventure-Game bis zum letzten Level während wir bei anderen schnell die Lust verlieren? Das Werk ist für all diejenigen verfasst, die sich in irgendeiner Weise mit der Erzeugung und Bewertung von Handlungen befassen. Sowohl Charakter- und Game-Designer profitieren durch neue archetypische Modelle und Psychologen können mit der hier präsentierten dodekazyklischen Heldenreise innovative therapeutische Methoden entwickeln. Roman- und Drehbuchautoren bekommen eine Blaupause für erfolgsversprechende Geschichten, die sich auch auf das Interactive Storytelling übertragen lässt und Regisseure sowie Film-, Computerspiel- und Literaturkritiker erhalten durch den Inhalt des Werkes gezielte Bewertungskriterien.
The Psychology Behind Design: A Marketing Perspective
by Chris Baumann Jeongmin Lee Wujin ChuThis book explains the psychology theory behind design using plain language. The inspiration came from the "democratic design" philosophy of IKEA. This book attempts to help people enjoy designs more, by explaining consumer psychology that lurks behind designs of everyday things. Another purpose of the book is to aid designers and marketers in understanding consumer behavior and to help them leverage this knowledge in their respective fields. Marketers and designers often find it hard to communicate effectively due to their disparate fields. However, this book aims to bridge this gap by showing that activities in both design and marketing can be better understood through the lens of design psychology, promoting better communication and collaboration. Although the book contains more than a hundred psychology theories that can affect design, it is structured in a reader-friendly manner, and chapters are segmented such that each chapter contains about 7~15 theories. Despite the large amount of academic research behind the theories, the application of these theories comes from commonplace consumer behaviors and daily design examples, promising an easy, relatable read.
The Psychology of Global Mobility
by Stuart C. CarrHuman mobility has been a defining feature of human social evolution. In a global community, the term "mobility" captures the full gamut of types, directions, and patterns of human movement. The psychology of mobility is important because movement is inherently behavioral. Much of the behavioral study of mobility has focused on the negative - examining the trauma of forced migration, or the health consequences of the lack of adaptation - but this work looks into the benefits of mobility, such as its impact on career capital and well-being. Recent years have witnessed a phenomenal increase in efforts to understand human mobility, by social scientists, think-tanks, and policymakers alike. The book focuses on the transformational potential of mobility for human development. The book details the historical, methodological, and theoretical trajectory of human mobility (Context), followed by sections on pre-departure incentives and predispositions (Motivation), influences on acculturation, health and community fit (Adjustment), and changes in career capital, overcoming bias, and diaspora networks (Performance).
The Psychology of Learning Mathematics: Expanded American Edition (Pelican Ser.)
by Richard R. SkempThis classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.
The Psychology of Mathematics: A Journey of Personal Mathematical Empowerment for Educators and Curious Minds
by Anderson NortonThis book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level—including geometry, algebra, calculus, complex analysis, and more—Norton unlocks students’ personal power to construct mathematical objects based on their own mental activity and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared toward current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally.
Psychology Statistics For Dummies
by Donncha Hanna Martin DempsterThe introduction to statistics that psychology students can't afford to be withoutUnderstanding statistics is a requirement for obtaining and making the most of a degree in psychology, a fact of life that often takes first year psychology students by surprise. Filled with jargon-free explanations and real-life examples, Psychology Statistics For Dummies makes the often-confusing world of statistics a lot less baffling, and provides you with the step-by-step instructions necessary for carrying out data analysis.Psychology Statistics For Dummies:Serves as an easily accessible supplement to doorstop-sized psychology textbooksProvides psychology students with psychology-specific statistics instructionIncludes clear explanations and instruction on performing statistical analysisTeaches students how to analyze their data with SPSS, the most widely used statistical packages among students
The Psychology Student’s Career Survival Guide: Here Be Dragons
by Alex ForsytheThe Psychology Student’s Career Survival Guide is designed to aid students in identifying their ideal career pathway and imbue them with the right tools and skills to not only achieve their desired job but to progress and thrive within the workplace. The first half of the book focuses on how to find and get a suitable job. The remaining chapters explore gaining success in the workplace in terms of personal growth, navigating criticism, workplace relations and the critical job assignments that every graduate should pursue. Forsythe, an experienced organisational psychologist, helps students recognise and apply the acquired psychological skill set to develop a personal brand, increase personal visibility and develop professional networks. This smooths the transition from university into the world of work by developing effective working practices that will support personal performance and that of the workplace. This book can also serve as a practical guide for academics looking to bridge the gap between the developing student at university and demands of their future employers. It explicitly calls for vocational elements such as communication, team-working, goal setting and planning within the curriculum. This engaging book comes with an abundance of resources to support students' individual development and to help academics run workshops. These resources include tool kits which include self-diagnostic tools and strengths finders, networking skill development, job search strategies, difficult interview questions, personal branding and so on. This is an essential text for psychology students at all levels looking for employability guidance and for psychology academics who are seeking supportive resources and guidance on helping students achieve their career ambitions.
Psychometric Framework for Modeling Parental Involvement and Reading Literacy
by Annemiek Punter Cees A. W. Glas Martina R. M. MeelissenThis volume offers insights from modelling measures of parental involvement and their relationship with student reading literacy across countries, exploring and incorporating cultural differences. This is a significant contribution to a field where cross-cultural comparisons from a triangulated perspective are sparse. For readers interested in exploring the relationship between parental involvement and student attainment, the literature review provides a useful starting point. Meanwhile, for the more methodologically interested reader, this report presents state-of-the-art ways to identify and model cultural differential item functioning in international large-scale assessment (ILSA), illustrating the extent to which the parental involvement construct may be influenced by cultural differences and how this may affect the outcomes of cross-cultural comparisons. The framework is generic and should provide a solid foundation for future ILSA practices and secondary analyses. ILSA studies like the IEA's Progress in International Reading Literacy Study (PIRLS) provide valuable data, containing both student achievement data and contextual background data from schools, teachers, students and parents for over 41 countries.
Ptolemy's Philosophy: Mathematics as a Way of Life
by Jacqueline FekeThe Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology.In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme.A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
Public Attitudes Towards Education in Ontario, 1998:
by Lynn E. Davie D. Hart D. W. LivingstoneSince 1978, the OISE/UT Survey has been the only extensive analysis of public concerns about educational issues in Canada to be published on a regular basis. The survey profiles current patterns and trends in public opinion about policy options for all levels of education.The twelfth survey is based on interviews conducted in late 1998 with a random sample of 1000 Ontario adults, and questionnaires completed by over 100 randomly selected corporate executives. Trends in attitude changes are presented for the general public and executives. This survey focuses on public support for educational funding and major school governance and programme reforms, as well as the roles of universities and provisions for life-long learning in an emerging knowledge society.The goal of the OISE/UT surveys is to enhance public awareness of educational issues and to encourage informed participation in policy making. Timely, revealing, and easy to read, the survey is recommended for educators at all levels, policy-makers, and the general public.