Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences. Interesting phenomena are often connected with geometric singularities, for instance, in mechanics. Elliptic operators in corresponding models are then sin gular or degenerate in a typical way. The necessary structures for constructing solutions belong to a particularly beautiful and ambitious part of the analysis. Cracks in a medium are described by hypersurfaces with a boundary. Config urations of that kind belong to the category of spaces (manifolds) with geometric singularities, here with edges. In recent years the analysis on such (in general, stratified) spaces has become a mathematical structure theory with many deep relations with geometry, topology, and mathematical physics. Key words in this connection are operator algebras, index theory, quantisation, and asymptotic analysis. Motivated by Lame's system with two-sided boundary conditions on a crack we ask the structure of solutions in weighted edge Sobolov spaces and subspaces with discrete and continuous asymptotics. Answers are given for elliptic sys tems in general. We construct parametrices of corresponding edge boundary value problems and obtain elliptic regularity in the respective scales of weighted spaces. The original elliptic operators as well as their parametrices belong to a block matrix algebra of pseudo-differential edge problems with boundary and edge conditions, satisfying analogues of the Shapiro-Lopatinskij condition from standard boundary value problems. Operators are controlled by a hierarchy of principal symbols with interior, boundary, and edge components.
Mixed, transmission, or crack problems belong to the analysis of boundary value problems on manifolds with singularities. The Zaremba problem with a jump between Dirichlet and Neumann conditions along an interface on the boundary is a classical example. The central theme of this book is to study mixed problems in standard Sobolev spaces as well as in weighted edge spaces where the interfaces are interpreted as edges. Parametrices and regularity of solutions are obtained within a systematic calculus of boundary value problems on manifolds with conical or edge singularities. This calculus allows singularities on the interface and homotopies between mixed and crack problems. Additional edge conditions are computed in terms of relative index results. In a detailed final chapter, the intuitive ideas of the approach are illustrated, and there is a discussion of future challenges. A special feature of the text is the inclusion of many worked-out examples which help the reader to appreciate the scope of the theory and to treat new cases of practical interest. This book is addressed to mathematicians and physicists interested in models with singularities, associated boundary value problems, and their solvability strategies based on pseudo-differential operators. The material is also useful for students in higher semesters and young researchers, as well as for experienced specialists working in analysis on manifolds with geometric singularities, the applications of index theory and spectral theory, operator algebras with symbolic structures, quantisation, and asymptotic analysis.
This book grew out of lecture notes based on the DMV seminar "Pseudo- Differential Operators, Singularities, Applications" held by the authors in Reisenburg-Günzburg, 12–19 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudo-differential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities.
Who actually invented picnics: the English or the French? Neither of them, because the "ancient" Greeks already knew about picnics. The first descriptions of picnics were in the "Homer's Odyssey", about 800 years before Christ. Later, the Romans also adopted this leisure culture. The second great picnic boom actually took place about 200 years ago, during the reign of Queen Victoria of England, and also at almost the same time in France. The content: What is special about picnics, as compared to many other leisure activities, such as barbecues, travel breaks or a short camping trip? How does picnicking function? What kind of equipment and information is needed? Why is it so much fun to share games and delicious food in a group outdoors, and how can how can this be improved for a more enjoyable experience?
To the untrained eye, all reed warblers may look alike. Anyone who takes a closer look will quickly realize that there is in fact an amazing spectrum of different ecological and adaptive strategies across the world ́s 53 species. Members of the reed warbler family have been models for this diversity in a large number of biological studies of avian lifestyles. Many of these have resulted in outstanding findings and set new standards in behavioural and evolutionary ecology. The authors rise to the challenge of determining how the members of the family have diversified by comparing their relationships and ecologies. This comparative approach runs like a thread throughout this book and touches on almost all biological aspects, ranging from habitat use, competition and communication to reproduction and brood parasitism, mating systems, migration, population dynamics, island life and convergent evolution. The life strategies of these ‘little brown jobs’ exemplify some of the key topics in 21st century ornithology. • Winner of the BB/BTO Best Bird Book of the Year 2012 award • the members of the reed warbler family display an astonishing diversity in ecology and life strategies, and have been used extensively as models in research • this integrative overview combines published and unpublished information and is richly illustrated with large numbers of photographs, drawings and maps • a fascinating read for bird watchers and bird researchers alike In cooperation with Max Planck Institute for Ornithology.
In his long-awaited new novel, renowned German author Ingo Schulze provides a rich and nuanced panorama of a world in transition. East Germany, January 1990. Enrico Türmer–man of the theater, aspiring novelist–has turned his back on the art world and joined a startup newspaper. Before long, the former aesthete and rebel becomes obsessed with personal gain, and in a series of letters to his sister, a friend, and a would-be lover, Enrico vividly muses on his capitalist ventures and latent worldly ambitions. As Schulze peels away the layers of Enrico’s previous existence, his antihero’s reinvention comes to embody all the questionable aspects not only of life in the old Germany, but of life in the Germany just taking form.
Mies van der Rohe: A Critical Biography is a major rewriting and expansion of Franz Schulze's acclaimed 1985 biography, the first full treatment of the master German-American modern architect. Co-authored with architect Edward Windhorst, this thoroughly revised edition features new and extensive original research and commentary and draws on the best recent work of American and German scholars and critics. Schulze and Windhorst trace Mies's European career in its progression to avant-garde modernism-where his work was materially rich but of modest scale-to his second m ...
ColdBrew, what is it? Unlike the normal coffee preparation with hot water, for this brewing method cold water is used. This is the cognac-coloured liquid that the Dutch merchants had already discovered in the 17th century. ColdBrew originated as a coffee extract that can be diluted with water as a basis for mixed drinks or cocktails. The aromatic substances released in the cold water have a truly distinctive and indeed much richer taste than cooled, originally hot-brewed coffee. It is possible to brew both green tea and cascara (the dried pulp of the coffee fruit) cold, as well as exquisite cacao nibs. This makes very delicious basis for summer cocktails, both with and without alcohol. With this book, we would like to introduce you to 50 of the best and most tempting, easy to prepare, summer drinks. In addition, we provide a lot of useful information about the pleasures of drinking, ice-cube creations, drinking rituals and the appropriate types of drinking glasses. Experience an extraordinary and creative taste sensation!
In The Sonic Persona, Holger Schulze undertakes a critical study of some of the most influential studies in sound since the 19th century in the natural sciences, the engineering sciences, and in media theory, confronting them with contemporary artistic practices, with experimental critique, and with disturbing sonic experiences. From Hermann von Helmholtz to Miley Cyrus, from FLUXUS to the Arab Spring, from Wavefield Synthesis to otoacoustic emissions, from premillennial clubculture to postdemocratic authoritarianism, from signal processing to human echolocation: This book presents a fundamental critique concerning recent sound theories and their anthropological concepts – and proposes an alternate, a more plastic, a visceral framework for research in the field of a cultural anthropology of sounding and listening. This anthropology of sound takes its readers and listeners on a research expedition to the multitude of alien humanoids and their surprising sonic personae: in dynamic and generative tension between predetermined auditory dispositives, miniscule and not seldomly ignored sound practices, and idiosyncratic sensory corpuses: a critique of the senses. I'm going to prove the impossible really exists.
ECG imaging was performed in humans to reconstruct ventricular activation patterns and localize their excitation origins. The precision of the non-invasive reconstructions was evaluated against invasive measurements and found to be in line with the state-of-the-art literature. Statistics were produced for various excitation origins and reveal the beat-to-beat robustness of the imaging method.
This book provides the first comprehensive overview of theoretical issues, historical developments and current trends in ICALL (Intelligent Computer-Assisted Language Learning). It assumes a basic familiarity with Second Language Acquisition (SLA) theory and teaching, CALL and linguistics. It is of interest to upper undergraduate and/or graduate students who study CALL, SLA, language pedagogy, applied linguistics, computational linguistics or artificial intelligence as well as researchers with a background in any of these fields.
The Draft Common Frame of Reference (DCFR) is just published. Now the creation of the final Common Frame of Reference (CFR) is one of the most important issues in the field of European Private Law. The volume discusses the key question as to what extent the CFR can and should reflect existing EC Contract Law, and to what extent the DCFR has already incorporated the acquis communautaire. The contributions to this volume try to provide answers to this question by analyzing different controversial areas such as the conclusion and content of the contract (pre-contractual duties, non-discrimination or withdrawal), non-performance, remedies, damages and the relation to International Private Law.
Features the Illinois Institute of Technology (IIT), located in Chicago. Offers information on research activities, academic programs, admissions, student services and organizations, library services, and more.
DIVDIVFor the first time, four German WWII pilots share their side of the story./divDIV/divDIVFew perspectives epitomize the sheer drama and sacrifice of combat more perfectly than those of the fighter pilots of World War II. As romanticized as any soldier in history, the WWII fighter pilot was viewed as larger than life: a dashing soul waging war amongst the clouds. In the sixty-five-plus years since the Allied victory, stories of these pilots’ heroics have never been in short supply. But what about their adversaries—the highly skilled German aviators who pushed the Allies to the very brink of defeat?/divDIV/divDIVOf all of the Luftwaffe’s fighter aces, the stories of Walter Krupinski, Adolf Galland, Eduard Neumann, and Wolfgang Falck shine particularly bright. In The German Aces Speak, for the first time in any book, these four prominent and influential Luftwaffe fighter pilots reminisce candidly about their service in World War II. Personally interviewed by author and military historian Colin Heaton, they bring the past to life as they tell their stories about the war, their battles, their lives, and, perhaps most importantly, how they felt about serving under the Nazi leadership of Hermann Göring and Adolf Hitler. From thrilling air battles to conflicts on the ground with their own commanders, the aces’ memories disclose a side of World War II that has gone largely unseen by the American public: the experience of the German pilot./div/div
This magnificent volume marks the fiftieth anniversary of this museum and art school housed in buildings designed by world-renowned architects Eliel Saarinen, I.M. Pei, and Richard Meier. Illustrated essays cover the history of the Center and its distinguished architecture. Colorplates and commentary present more than 100 masterpieces of 20th-century art and tribal arts.
Space has to be discussed once one focuses on the commons, the natural and cultural resources securing the well-being of a community. The question of availability of these resources includes asking for the place where they are accessible or where they are made accessible and thus always the question of the spatial organization of this society. This publication wants to provide a first overview about historical types of commons, about contemporary theories on urban commons, and speculate about possible forms of future commoning. Die Beschäftigung mit den Gemeingütern, den elementaren natürlichen und kulturellen Ressourcen, die dem Wohle der Gemeinschaft dienen, fordert auch eine Auseinandersetzung mit Räumen. Denn die Frage nach der Verfügbarkeit von Ressourcen schließt die Frage nach dem Ort, an dem diese für die Gemeinschaft zugänglich sind oder zugänglich gemacht werden, und damit immer auch die Frage nach der räumlichen Organisation dieser Gemeinschaft, ein. Diese Publikation gibt einen ersten Überblick über historische Typen von Allmenden, über die aktuelle Theoriebildung zum Thema des urbanen Gemeingutes und spekuliert über mögliche Formen von zukünftigem Commoning.
This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.
The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.
At first, Don Schulze wasn’t sure he was really hearing from God . . . because what he was hearing didn’t make sense. Could God really be calling him to leave a good career and a stable life to take his family on a journey of ministry across the country and around the world? And could Don trust God to take care of his loved ones on that journey? Would they trust and understand God’s call as well? With a deep breath and a lot of faith, Don and his family took the leap and said yes—stepping forward into what would become a lifelong quest to follow God’s calling. In A Life of Miracles, you’ll travel with this ordinary family across the years as you witness inspiring encounters with God—dramatic rescues, just-in-time provisions, amazing miracles of healing, and God’s surprising answers to “everyday” prayers. As you read, you’ll see evidence of just how closely God sticks by us, even in our most uncomfortable moments. This modern-day spiritual odyssey takes you on a heartwarming, soul-stirring exploration of faith. Join Don and his family on their unexpected adventures . . . and discover how your own daily walk with God can add up to a life of miracles.
Vituperation, disparagement, and debasement seem to have become part of the mainstream discourse in contemporary US-American media culture. Zooming in on a distinct televisual comedy genre, Katja Schulze explores the formal principles, media-specific realizations, and the cultural work of disparagement in contemporary female-led situation comedies. Subsequently, larger patterns of (gender-based) invective strategies and conventions that define the dynamism of this comedic genre come into view. Her study outlines case studies of popular sitcoms, like Parks and Recreation, Mike & Molly, and the revival of hit-sitcom Roseanne, thereby unearthing how the shows are able to stage humor as mass-mediated deprecation - a signifying practice with its own poetics and politics.
Authenticity is one of the major values of our time. It is visible everywhere, from clothing to food to self-help books. While it is such a prevalent phenomenon, it is also very evasive. This study analyses the 'culture of authenticity' as it relates to theatre and establishes a theoretical framework for analysis. Daniel Schulz argues that authenticity is sought out and marked by the individual and springs from a culture that is perceived as inherently fake and lacking depth. The study examines three types of performances that exemplify this structure of feeling: intimate theatre seen in Forced Entertainment productions such as Quizoola! (1996, 2015), as well as one-on-one performances, such as Oentroerend Goed's Internal (2009); immersive theatres as illustrated by Punchdrunk's shows The Masque of the Red Death (2007) and The Drowned Man (2013) which provide a visceral, sensate understanding for audiences; finally, the study scrutinises the popular category of documentary theatre through various examples such as Robin Soan's Talking to Terrorists (2005), David Hare's Stuff Happens (2004), Edmund Burke's Black Watch (2007) and Dennis Kelly's pseudo-documentary play Taking Care of Baby (2007). It is specifically the value of the document that lends such performances their truth-value and consequently their authenticity. The study analyses how the success of these disparate categories of performance can be explained through a common concern with notions of truth and authenticity. It argues that this hunger for authentic, unmediated experience is characteristic of a structure of feeling that has superseded postmodernism and that actively seeks to resignify artistic and cultural practices of the everyday.
What is sound design? What is its function in the early 21st century and into the future? Sound Works examines these questions in four parts: Part 1, "Why This Sound?", presents an overview of the modern history of sound design. Part 2 is highly visual and provides a glance onto a sound designer's workbench and the current state of "Sonic Labor." Part 3 uses cultural analysis to explore our contemporary "Living with Sounds." The final and fourth part then proposes a series of anthropological and political interpretations of how Sound Works today. This book is not a manual on sound design; it instead argues for a cultural theory of sound design for sound designers and sound artists, for clients who commission a sound design and for researchers in the fields of sound studies, design research, and cultural studies
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