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Author: Constantine Stephanidis Publisher: Springer ISBN: 9783030922566 Category : Computers Languages : en Pages :
Book Description
This set of 45 volumes constitutes the proceedings of all of the conferences affiliated with HCI International 2021, which was held during July 24-29, 2021. The total of 1276 papers and 241 posters were carefully reviewed and selected from 6326 submissions. The respective focus of the 2 thematic areas and 19 affiliated conferences is as follows: Human-Computer Interaction; Human Interface and the Management of Information; Engineering Psychology and Cognitive Ergonomics; Universal Access in Human-Computer Interaction; Virtual, Augmented and Mixed Reality; Cross-Cultural Design; Social Computing and Social Media; Augmented Cognition; Digital Human Modeling and Applications in Health, Safety, Ergonomics and Risk Management; Design, User Experience, and Usability; Distributed, Ambient and Pervasive Interactions; HCI in Business, Government and Organizations; Learning and Collaboration Technologies; Human Aspects of IT for the Aged Population; HCI for Cybersecurity, Privacy and Trust; HCI in Games, HCI in Mobility, Transport and Automotive Systems; Adaptive Instructional Systems; Culture and Computing; Design, Operation and Evaluation of Mobile Communications; and Artificial Intelligence in HCI. The set therefore provides readers with a comprehensive overview of ongoing research and development within the broad field of Human-Computer Interaction.
Author: Constantine Stephanidis Publisher: Springer ISBN: 9783030922566 Category : Computers Languages : en Pages :
Book Description
This set of 45 volumes constitutes the proceedings of all of the conferences affiliated with HCI International 2021, which was held during July 24-29, 2021. The total of 1276 papers and 241 posters were carefully reviewed and selected from 6326 submissions. The respective focus of the 2 thematic areas and 19 affiliated conferences is as follows: Human-Computer Interaction; Human Interface and the Management of Information; Engineering Psychology and Cognitive Ergonomics; Universal Access in Human-Computer Interaction; Virtual, Augmented and Mixed Reality; Cross-Cultural Design; Social Computing and Social Media; Augmented Cognition; Digital Human Modeling and Applications in Health, Safety, Ergonomics and Risk Management; Design, User Experience, and Usability; Distributed, Ambient and Pervasive Interactions; HCI in Business, Government and Organizations; Learning and Collaboration Technologies; Human Aspects of IT for the Aged Population; HCI for Cybersecurity, Privacy and Trust; HCI in Games, HCI in Mobility, Transport and Automotive Systems; Adaptive Instructional Systems; Culture and Computing; Design, Operation and Evaluation of Mobile Communications; and Artificial Intelligence in HCI. The set therefore provides readers with a comprehensive overview of ongoing research and development within the broad field of Human-Computer Interaction.
Author: Erich Novak Publisher: European Mathematical Society ISBN: 9783037190265 Category : Mathematics Languages : en Pages : 402
Book Description
Multivariate problems occur in many applications. These problems are defined on spaces of $d$-variate functions and $d$ can be huge--in the hundreds or even in the thousands. Some high-dimensional problems can be solved efficiently to within $\varepsilon$, i.e., the cost increases polynomially in $\varepsilon^{-1}$ and $d$. However, there are many multivariate problems for which even the minimal cost increases exponentially in $d$. This exponential dependence on $d$ is called intractability or the curse of dimensionality. This is the first volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. It is devoted to tractability in the case of algorithms using linear information and develops the theory for multivariate problems in various settings: worst case, average case, randomized and probabilistic. A problem is tractable if its minimal cost is not exponential in $\varepsilon^{-1}$ and $d$. There are various notions of tractability, depending on how we measure the lack of exponential dependence. For example, a problem is polynomially tractable if its minimal cost is polynomial in $\varepsilon^{-1}$ and $d$. The study of tractability was initiated about 15 years ago. This is the first and only research monograph on this subject. Many multivariate problems suffer from the curse of dimensionality when they are defined over classical (unweighted) spaces. In this case, all variables and groups of variables play the same role, which causes the minimal cost to be exponential in $d$. But many practically important problems are solved today for huge $d$ in a reasonable time. One of the most intriguing challenges of the theory is to understand why this is possible. Multivariate problems may become weakly tractable, polynomially tractable or even strongly polynomially tractable if they are defined over weighted spaces with properly decaying weights. One of the main purposes of this book is to study weighted spaces and obtain necessary and sufficient conditions on weights for various notions of tractability. The book is of interest for researchers working in computational mathematics, especially in approximation of high-dimensional problems. It may be also suitable for graduate courses and seminars. The text concludes with a list of thirty open problems that can be good candidates for future tractability research.
Author: Publisher: European Mathematical Society ISBN: 9783037190821 Category : Mathematics Languages : en Pages : 256
Book Description
The Geometrisation Conjecture was proposed by William Thurston in the mid 1970s in order to classify compact 3-manifolds by means of a canonical decomposition along essential, embedded surfaces into pieces that possess geometric structures. It contains the famous Poincaré Conjecture as a special case. In 2002, Grigory Perelman announced a proof of the Geometrisation Conjecture based on Richard Hamilton’s Ricci flow approach, and presented it in a series of three celebrated arXiv preprints. Since then there has been an ongoing effort to understand Perelman’s work by giving more detailed and accessible presentations of his ideas or alternative arguments for various parts of the proof. This book is a contribution to this endeavour. Its two main innovations are first a simplified version of Perelman’s Ricci flow with surgery, which is called Ricci flow with bubbling-off, and secondly a completely different and original approach to the last step of the proof. In addition, special effort has been made to simplify and streamline the overall structure of the argument, and make the various parts independent of one another. A complete proof of the Geometrisation Conjecture is given, modulo pre-Perelman results on Ricci flow, Perelman’s results on the ℒ-functional and κ-solutions, as well as the Colding–Minicozzi extinction paper. The book can be read by anyone already familiar with these results, or willing to accept them as black boxes. The structure of the proof is presented in a lengthy introduction, which does not require knowledge of geometric analysis. The bulk of the proof is the existence theorem for Ricci flow with bubbling-off, which is treated in parts I and II. Part III deals with the long time behaviour of Ricci flow with bubbling-off. Part IV finishes the proof of the Geometrisation Conjecture.
Author: Vladimir G. Turaev Publisher: European Mathematical Society ISBN: 9783037190869 Category : Mathematics Languages : en Pages : 300
Book Description
Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.
Author: Jessica K. Sklar Publisher: McFarland ISBN: 0786489944 Category : Social Science Languages : en Pages : 355
Book Description
Mathematics has maintained a surprising presence in popular media for over a century. In recent years, the movies Good Will Hunting, A Beautiful Mind, and Stand and Deliver, the stage plays Breaking the Code and Proof, the novella Flatland and the hugely successful television crime series NUMB3RS all weave mathematics prominently into their storylines. Less obvious but pivotal references to the subject appear in the blockbuster TV show Lost, the cult movie The Princess Bride, and even Tolstoy's War and Peace. In this collection of new essays, contributors consider the role of math in everything from films, baseball, crossword puzzles, fantasy role-playing games, and television shows to science fiction tales, award-winning plays and classic works of literature. Revealing the broad range of intersections between mathematics and mainstream culture, this collection demonstrates that even "mass entertainment" can have a hidden depth.
Author: Anders Björn Publisher: European Mathematical Society ISBN: 9783037190999 Category : Mathematics Languages : en Pages : 422
Book Description
The $p$-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory, and image processing. Its solutions, called p-harmonic functions, have been studied in various contexts since the 1960s, first on Euclidean spaces and later on Riemannian manifolds, graphs, and Heisenberg groups. Nonlinear potential theory of p-harmonic functions on metric spaces has been developing since the 1990s and generalizes and unites these earlier theories. This monograph gives a unified treatment of the subject and covers most of the available results in the field, so far scattered over a large number of research papers. The aim is to serve both as an introduction to the area for interested readers and as a reference text for active researchers. The presentation is rather self contained, but it is assumed that readers know measure theory and functional analysis. The first half of the book deals with Sobolev type spaces, so-called Newtonian spaces, based on upper gradients on general metric spaces. In the second half, these spaces are used to study p-harmonic functions on metric spaces, and a nonlinear potential theory is developed under some additional, but natural, assumptions on the underlying metric space. Each chapter contains historical notes with relevant references, and an extensive index is provided at the end of the book.
Author: Alexander Masters Publisher: Delacorte Press ISBN: 034553221X Category : Biography & Autobiography Languages : en Pages : 375
Book Description
Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
Author: Philip J. Davis Publisher: Courier Corporation ISBN: 0486442527 Category : Mathematics Languages : en Pages : 354
Book Description
These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.
Author: Marek Jarnicki Publisher: JP Medical Ltd ISBN: 9783037190982 Category : Mathematics Languages : en Pages : 316
Book Description
The story of separately holomorphic functions began about 100 years ago. During the second half of the 19th century, it became known that a separately continuous function is not necessarily continuous as a function of all variables. At the beginning of the 20th century, the study of separately holomorphic functions started due to the fundamental work of Osgood and Hartogs. This book provides the first self-contained and complete presentation of the study of separately holomorphic functions, from its beginnings to current research. Most of the results presented have never been published before in book form. The text is divided into two parts. The first part deals with separately holomorphic functions, ``without singularities''. The second part addresses the situation of existing singularities. A discussion of the classical results related to separately holomorphic functions leads to the most fundamental result, the classical cross theorem as well as various extensions and generalizations, to more complicated ``crosses''. Additionally, several applications for other classes of ``separately regular'' functions are given. A solid background in basic complex analysis is a prerequisite. To make the book self contained, all the results are collected in special introductory chapters and referred to at the beginning of each section. This book is addressed to students and researchers in several complex variables as well as mathematicians and theoretical physicists interested in this area of mathematics.
Author: Constantine Stephanidis
Author: Constantine Stephanidis
Author: Erich Novak
Author: 
Author: Vladimir G. Turaev
Author: Jessica K. Sklar
Author: Anders Björn
Author: Avner Ash
Author: Alexander Masters
Author: Philip J. Davis
Author: Marek Jarnicki