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Decomposability of Tensors

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ISBN: 9783038975908 9783038975915 Year: Pages: 160 DOI: 10.3390/books978-3-03897-591-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics --- Physics (General)
Added to DOAB on : 2019-02-15 09:41:46
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Tensor decomposition is a relevant topic, both for theoretical and applied mathematics, due to its interdisciplinary nature, which ranges from multilinear algebra and algebraic geometry to numerical analysis, algebraic statistics, quantum physics, signal processing, artificial intelligence, etc. The starting point behind the study of a decomposition relies on the idea that knowledge of elementary components of a tensor is fundamental to implement procedures that are able to understand and efficiently handle the information that a tensor encodes. Recent advances were obtained with a systematic application of geometric methods: secant varieties, symmetries of special decompositions, and an analysis of the geometry of finite sets. Thanks to new applications of theoretic results, criteria for understanding when a given decomposition is minimal or unique have been introduced or significantly improved. New types of decompositions, whose elementary blocks can be chosen in a range of different possible models (e.g., Chow decompositions or mixed decompositions), are now systematically studied and produce deeper insights into this topic. The aim of this Special Issue is to collect papers that illustrate some directions in which recent researches move, as well as to provide a wide overview of several new approaches to the problem of tensor decomposition.

Political Discourses at the Extremes

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Book Series: Stockholm Studies in Romance Languages ISBN: 9789176350928 9789176350959 9789176350935 9789176350942 Year: Pages: 356 DOI: 10.16993/bax Language: English
Publisher: Stockholm University Press
Subject: Political Science --- Media and communication --- Social Sciences --- Linguistics
Added to DOAB on : 2019-05-14 11:21:04
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"The authors of this edited volume focus on the emergence of populist discourses, coming from movements or parties from Romance-speaking countries in Europe and in Latin America. By combining linguistics, social and political sciences in a discourse analytical approach, the sixteen papers enlighten the mechanisms behind populist discourses yielding from different socio-cultural and political contexts. The common denominator of the studies is the focus on the discursive and rhetorical characteristics of recently emerged movements of populism in both continents. Investigating expressions of these political movements is highly relevant in today’s society, where the growing number of populist discourses has become a pre-eminent issue, alongside people’s increasing insecurity regarding future political and environmental challenges. The primary audience of this volume are researchers working in the fields of political discourse analysis; however, this book may benefit anybody with interest in language in politics. ******* ‘This volume will be a valuable contribution to the study of populist discourse at the political extremes. It hardly needs to be mentioned that this is one of the most topical issues in political discourse throughout the world today. The specifics of populist discourse are often misunderstood, so I have found this volume enlightening and helpful to increasing my own understanding.’ — Rodney Williamson, University of Ottawa ‘The anthology provides indeed a fine analysis of discourses connected to different socio-cultural and political contexts […] Since it brings together researchers specialized in media and political discourse analysis, it contributes to a large extent to promote a deeper understanding of current political discourses and extremist ideologies.’ — Ana Pano Alamán, University of Bologna"

Hardy Inequalities on Homogeneous Groups

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Book Series: Progress in Mathematics ISBN: 9783030028954 Year: Pages: 571 DOI: 10.1007/978-3-030-02895-4 Language: English
Publisher: Springer Nature
Subject: Mathematics
Added to DOAB on : 2020-02-04 11:21:19
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This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Drug Repositioning: Current Advances and Future Perspectives

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Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889456963 Year: Pages: 153 DOI: 10.3389/978-2-88945-696-3 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Therapeutics
Added to DOAB on : 2019-01-23 14:53:43
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Drug repositioning is the process of identifying new indications for existing drugs. At present, the conventional de novo drug discovery process requires an average of about 14 years and US$2.5 billion to approve and launch a drug. Drug repositioning can reduce the time and cost of this process because it takes advantage of drugs already in clinical use for other indications or drugs that have cleared phase I safety trials but have failed to show efficacy in the intended diseases. Historically, drug repositioning has been realized through serendipitous clinical observations or improved understanding of disease mechanisms. However, recent technological advances have enabled a more systematic approach to drug repositioning. This eBook collects 16 articles from 112 authors, providing readers with current advances and future perspectives of drug repositioning.

Modeling and Computer Simulation

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ISBN: 9781789857955 9781789857962 Year: Pages: 86 DOI: 10.5772/intechopen.73381 Language: English
Publisher: IntechOpen
Subject: Computer Science
Added to DOAB on : 2019-10-03 07:51:53

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Computer simulation or a computer model has the task of simulating the behaviour of an abstract model of a particular system. Computer simulations have become a useful part of mathematical modeling of many natural systems in physics, quantum mechanics, chemistry, biology, economic systems, psychology, and social sciences, as well as in the engineering process of new technologies. The authors of the five chapters have presented various applications of computer simulations as well as their advantages and disadvantages. They describe the process of modeling and its simulation of heat recovery steam generators, the chronometer detent escapement mechanism, relevant sociotechnical processes with regard to new housing and building law and regional management trends in the European Union, and the agent-based model for biological systems.

Introduction and Implementations of the Kalman Filter

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ISBN: 9781838805364 9781838805371 9781838807399 Year: Pages: 128 DOI: 10.5772/intechopen.75731 Language: English
Publisher: IntechOpen
Subject: Computer Science
Added to DOAB on : 2019-10-03 07:51:53

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Sensor data fusion is the process of combining error-prone, heterogeneous, incomplete, and ambiguous data to gather a higher level of situational awareness. In principle, all living creatures are fusing information from their complementary senses to coordinate their actions and to detect and localize danger. In sensor data fusion, this process is transferred to electronic systems, which rely on some ""awareness"" of what is happening in certain areas of interest. By means of probability theory and statistics, it is possible to model the relationship between the state space and the sensor data. The number of ingredients of the resulting Kalman filter is limited, but its applications are not.

Chapter 13 Doing Versus Assessing Interactional Competence (Book chapter)

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ISBN: 9781138038998 9781315177021 Year: Pages: 41 Language: English
Publisher: Taylor & Francis
Subject: Linguistics
Added to DOAB on : 2019-12-17 11:21:02
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This volume features the latest research findings on L2 interactional competence to demonstrate the potential for developing and implementing research-based pedagogy that targets interactional competence (IC) in early instruction in a variety of L2 learning and teaching contexts. Incorporating contributions from both leading and emerging researchers in the area, the book is organized into four sections to provide a systematic account of interactional competence, defined as a set of skills required to co-construct an effective interaction with a variety of interlocutors in a variety of settings, and advocates for IC to be part of a well-rounded curriculum of L2 instruction. The volume provides a comprehensive overview of the different theoretical perspectives on IC within Conversation Analysis, and moves into a discussion of conversation-analytic research findings from a variety of contexts and of their pedagogical implications.The book then presents examples of pedagogy in practice and also illustrates the potential for implementing IC in testing settings. This volume makes a valuable contribution to the growing literature on interactional competence and will be of particular interest to graduate students and researchers in applied linguistics, SLA, language education, curriculum and instruction studies, and educational linguistics.

Phase-Contrast and Dark-Field Imaging

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ISBN: 9783038972846 9783038972853 Year: Pages: 146 DOI: 10.3390/books978-3-03897-285-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Mathematics
Added to DOAB on : 2019-01-08 11:33:34
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The intent of this Special Issue is to provide a framework with which scientists in several different disciplines, related to phase-contrast and dark-field imaging, can illustrate their ideas and results. The articles are reviews or very recent scientific reports; they address newcomers in the field, as well as experts and professors in fields of X-ray physics, electron, and phase-contrast X-ray imaging.

Rietveld Refinement in the Characterization of Crystalline Materials

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ISBN: 9783038975274 9783038975281 Year: Pages: 88 DOI: 10.3390/books978-3-03897-528-1 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Chemistry (General) --- Analytical Chemistry
Added to DOAB on : 2019-01-28 10:16:11
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This Special Issue serves as a crystallographic forum covering various aspects of material science that have in common the use of the powerful Rietveld method in the analysis of the powder XRD patterns of investigated compounds.

Advanced Problems in Mathematics: Preparing for University

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Book Series: OBP Series in Mathematics ISSN: 2397-1126 / 2397-1134 ISBN: 9781783747764 9781783747771 Pages: 186 DOI: 10.11647/OBP.0181 Language: English
Publisher: Open Book Publishers
Subject: Mathematics
Added to DOAB on : 2019-10-29 12:26:38
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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

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