Positivity And Its Applications

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Positivity And Its Applications
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Author : Eder Kikianty
language : en
Publisher: Springer Nature
Release Date : 2021-07-22
Positivity And Its Applications written by Eder Kikianty and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with Mathematics categories.
This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context.
Total Positivity And Its Applications
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Author : Mariano Gasca
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Total Positivity And Its Applications written by Mariano Gasca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.
Positive Systems
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Author : James Lam
language : en
Publisher: Springer
Release Date : 2019-01-12
Positive Systems written by James Lam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-12 with Technology & Engineering categories.
This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.
The Science And Application Of Positive Psychology
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Author : Jennifer S. Cheavens
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-25
The Science And Application Of Positive Psychology written by Jennifer S. Cheavens and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Psychology categories.
Emphasizing the science of positive psychology, this comprehensive and engaging textbook features up-to-date research and major new topics.
Certificates Of Positivity For Real Polynomials
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Author : Victoria Powers
language : en
Publisher: Springer
Release Date : 2022-11-27
Certificates Of Positivity For Real Polynomials written by Victoria Powers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-27 with Mathematics categories.
This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19th century on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and other fields, it is desirable to have methods for finding, describing, and characterizing them. For many of the topics covered in this book, appropriate algorithms, computational methods, and applications are discussed. This volume contains a comprehensive, accessible, up-to-date treatment of certificates of positivity, written by an expert in the field. It provides an overview of both the theory and computational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers who are not specialists can learn about this fascinating subject. Furthermore, researchers who work on certificates of positivity or use them in applications will find this a useful reference for their work.
Moments Positive Polynomials And Their Applications
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Author : Jean-Bernard Lasserre
language : en
Publisher: World Scientific
Release Date : 2010
Moments Positive Polynomials And Their Applications written by Jean-Bernard Lasserre and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Many important problems in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP). This book introduces, in a unified manual, a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials. In the second part of this invaluable volume, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal context, mathematical finance, multivariate integration, etc., and examples are provided for each particular application.
Positive Operator Semigroups
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Author : András Bátkai
language : en
Publisher: Birkhäuser
Release Date : 2017-02-13
Positive Operator Semigroups written by András Bátkai and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-13 with Mathematics categories.
This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.
Positive Systems Theory And Applications
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Author : Luca Benvenuti
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-25
Positive Systems Theory And Applications written by Luca Benvenuti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-25 with Technology & Engineering categories.
The proceedings of the First Multidisciplinary International Symposium on Positive Systems Theory and Applications (POSTA 2003) held in Rome, Italy, August 28-30, 2003. Positive Systems are systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, goods, money, time, data packets flowing in a network, densities of chemical species, probabilities, etc. The aim of the symposium was to join together researchers working in the different areas related to positive systems such as telecommunications, economy, biomedicine, chemistry and physics in order to provide a multidisciplinary forum where they have the opportunity to exchange ideas and compare results in a unifying framework.
Positive Psychology Theory Research And Applications
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Author : Hefferon, Kate
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2011-05-01
Positive Psychology Theory Research And Applications written by Hefferon, Kate and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-01 with Psychology categories.
"Kate Hefferon and Ilona Boniwell have done an excellent job on this introduction to Positive Psychology! I encourage educators, students and everyone else interested in an updated, well-written and culturally balanced approach to the scientific study of human flourishing, to read this highly accessible, yet rigorously crafted text; and to get it under your skin by ways of carefully chosen tests and exercises." Hans Henrik Knoop, Aarhus University, Denmark and President, European Network for Positive Psychology "This accessible, yet comprehensive, book provides an excellent new resource in the area of positive psychology. Students, researchers and practitioners alike will benefit from the skilful and lively integration of theory, research and application. The authors are prominent members of the international positive psychology movement and as such are able to deliver a confident, practical and overarching assessment of the area, integrated into psychology more widely." Angela Clow, University of Westminster, UK "This is an exceptional book that synthesizes more than a decade of positive psychology research into chapters that are engaging, accessible, and educational. Hefferon and Boniwell demonstrate a mastery of the literature through the ways in which they have marshaled the evidence from research and practice into this invaluable resource. This book will become an essential reference guide for researchers, educators and practitioners of positive psychology around the world." Professor Alex Linley, Founding Director, Capp "This book is a valuable resource for students looking for an introduction to Positive Psychology, but also wanting to get a comprehensive and updated overview of this innovative approach to the study of human behaviour and experience. It provides a broad coverage of the most relevant theories and constructs developed within Positive Psychology, and of their relevance for intervention and application in the most diverse life domains. Hefferon and Boniwell use a rigorous though accessible and friendly style of presentation. By means of effective learning supports, they stimulate readers' active engagement in critical reflections on each topic. The authors address the several issues and open questions which still characterize Positive Psychology as a relatively recent domain through a balanced and objective approach." Antonella Delle Fave, University of Milano, Italy "Kate Hefferon and Ilona Boniwell have produced the first textbook which has set out purposefully to support students and teachers in higher education in the exciting new area of positive psychology. The authors have experience of teaching the lectures described in each chapter and the book is written in a way that students will find engaging and fun. Each chapter has clear learning objectives, mock essay questions, measurement tools, summaries and a guide to further resources. The content has been well researched and the early chapters cover the main concepts of positive psychology such as emotions, happiness, wellbeing, optimism, and resilience. The later chapters are more novel and cover interventions and applications all with a critical eye. Of particular note is the chapter on the body in positive psychology - a topic which is frequently omitted from the 'thoughts and feelings' approach of other texts in this area. I would strongly recommend this book to all students and teachers of psychology." Nanette Mutrie, Professor of Exercise and Sport Psychology, Strathclyde University, UK Discover the latest research findings and thinking on the topics of happiness, flow, optimism, motivation, character strengths, love and more! Find out how happiness levels can be increased, what stops us from flourishing and how positive psychology can be applied to many professional disciplines. This new textbook combines a breadth of information about positive psychology with reflective questions, critical commentary and up to date research. It is written in a witty, engaging and contemporary manner and includes: Personal development exercises to help you meld together research and application Mock essay questions to get essay writing going Think about it boxes to get you thinking about the concepts and theories discussed Experiments boxes giving you most influential positive psychology experiments to date Suggested resources guiding you where to go next Measurement tools presenting popular positive psychology tools Time out boxes on key issues, concepts and thinkers Chapter summaries to help you check their understanding Review questions to enhance your learning Positive Psychology is key reading for students taking modules in positive psychology and well-being, and will also be of interest to students of applied, coaching and sports psychology, as well as psychologists, coaches, counsellors and researchers interested in this burgeoning field.
Research Applications And Interventions For Children And Adolescents
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Author : Carmel Proctor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-13
Research Applications And Interventions For Children And Adolescents written by Carmel Proctor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Psychology categories.
This book presents recent positive psychological research, applications and interventions being used among adolescents and children. Currently there is a wave of change occurring whereby educators, and others working with children and adolescents, are beginning to recognize the benefits of looking at well-being from a positive perspective, specifically the integration of positive psychological theory into the school curriculum in order to improve student well-being. Moreover, although the positive psychological field has grown tremendously since its inception, there remains an imbalance in the publication of research findings, applications, and interventions among children and adolescents in comparison to adults. This book fills the need for a reference to this valuable information and benefits a wide range of professionals, including educators, clinicians, psychologists, students, and many other working with children and adolescents.