The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
This guide provides an overview of the thematic areas, analytical aspects, and avenues of research which, together, form a broader conversation around doing spatial history. Spatial history is not a field with clearly delineated boundaries. For the most part, it lacks a distinct, unambiguous scholarly identity. It can only be thought of in relation to other, typically more established fields. Indeed, one of the most valuable utilities of spatial history is its capacity to facilitate conversations across those fields. Consequently, it must be discussed in relation to a variety of historiographical contexts. Each of these have their own intellectual genealogies, institutional settings, and conceptual path dependencies. With this in mind, this guide surveys the following areas: territoriality, infrastructure, and borders; nature, environment, and landscape; city and home; social space and political protest; spaces of knowledge; spatial imaginaries; cartographic representations; and historical GIS research.
A revised view of the Pentateuch with consequences for the broader literary history of the Bible This collection of thirty-one studies on the Pentateuch represents more than twenty years of Konrad Schmid’s research and publications advocating for a new view of the Pentateuch’s formation. Schmid’s essays present the case for a Persian period Priestly document that provided a basic narrative thread to the Torah, which included separate, pre-Priestly components of narratives in Genesis and the Moses story. Schmid’s open discussion includes evidence from various fields, such as literary history, comparative cultural history, historical linguistics, epigraphy, and archaeology. The essays are divided into eight sections usefully structured around the themes of the Pentateuch in the Enneateuch, the history of scholarship, the formation of the Torah, Genesis, the Moses story, the Priestly document, legal texts, and the Pentateuch in the history of ancient Israel’s religion.
Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers" as well as the foundations of mathematics. In what might be termed a sampler of the discipline, Konrad Jacobs discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. Using Euclidean geometry and algebra to introduce the mathematical mode of thought, the author then turns to recent developments. In the process he offers what he calls a "Smithsonian of mathematical showpieces": the five Platonic Solids, the Mbius Strip, the Cantor Discontinuum, the Peano Curve, Reidemeister's Knot Table, the plane ornaments, Alexander's Horned Sphere, and Antoine's Necklace. The treatments of geometry and algebra are followed by a chapter on induction and one on optimization, game theory, and mathematical economics. The chapter on topology includes a discussion of topological spaces and continuous mappings, curves and knots, Euler's polyhedral formula for surfaces, and the fundamental group. The last chapter deals with dynamics and contains material on the Game of Life, circle rotation, Smale's "horseshoe," and stability and instability, among other topics.
In this meticulously researched study, Konrad Schmid offers a historical clarification of the concept of “theology.” He then examines the theologies of the three constituent parts of the Hebrew Bible—the Torah, the Prophets, and the Writings— before tracing how these theological concepts developed throughout the history of ancient Israel and early Judaism. Schmid not only explores the theology of the biblical books in isolation, but he also offers unifying principles and links between the distinct units that make up the Hebrew Bible. By focusing on both the theology of the whole Hebrew Bible as well as its individual pieces, A Historical Theology of the Hebrew Bible provides a comprehensive discussion of theological work within the Hebrew Bible.
The book sketches a systematics of non-verbal communication. It contains the following separate chapters: movement potential and expression repertoire; clinical literature on the eye’s movement potential; eye movement viewed from the perspective of communicative action; eye communication as part of non-verbal communication; detailed analysis of deliberate avoiding the addressee’s eye focus.
A number of apparently unrelated phenomena in biological systems (e.g., biopolymer aggregation, cell-cell interactions, ion transport across membranes) arise from the special properties of charged surfaces. A sym posium entitled "Electrical Double Layers in Biology", which took place at the Toronto meeting of the Electrochemical Society, 12-17 May 1985, focused on the common features of these phenomena. The papers presented at that symposium are collected here and they illustrate ways in which an under standing of electrical double layers can elucidate a problem in Biology. An example of this approach can be seen from the paper I presented on ion transport and excitation, where the "unusual" ion flows during nerve excitation are actually expected if one includes the effects of electrical double layers at membrane surfaces. Furthermore, the selectivity of the ion channels in these membranes can be better understood on this basis. Other presentations account for such observations as the changes in spacing between muscle proteins during contraction, the interactions of red cells to form rouleaux, the electrical properties of algal cell membranes, electrokinetic potentials during blood flow in arteries, etc. I trust that these papers will indicate the value of electrochemistry in the study of biological systems, an area of research usually called Bioelectrochemistry, and will encourage biologists to use these ideas when approaching related problems.
This simple and manageable guide to user interface design is written for the professional in industry working on product development and the decision process. It is directed not only to the human factors specialists, but also to technicians, designers, marketing and product managers and students. The book presents guidelines for user interface d
Hidden Hunger is an increasing problem even in developed countries, whose potential negative consequences on long-term health are often overlooked and underestimated. Chronic malnutrition is at the core of the global hunger challenge facing science, politics, and economics. In plain language and with moving examples, Hans K. Biesalski describes how hidden hunger affects human health long before malnutrition becomes obvious. Worldwide, over one third of deaths among children under 5 years of age is associated with malnutrition. As poverty is the main reason for hidden hunger, addressing this dire challenge requires long-term policies. Land grabbing and climate change seriously counteract a lot of efforts to overcome hidden hunger. This book is a highly impressive call to action. Investment in agriculture and in particular in small-scale farmers to improve subsistence farming are among the approaches suggested to reach a sustainable solution. The author is head of the department of biochemistry and nutrition and managing director of the Food Security Center at the University of Hohenheim, Germany. He is a member of numerous advisory and expert groups for the World Health Organization (WHO), the Food and Agriculture Organization (FAO) and the Global Forum on Food Security and Nutrition.
Das Schütz-Jahrbuch 2017 enthält in seinem Hauptteil die Texte der Referate des Internationalen Heinrich-Schütz-Festes Den Haag 2016, die sich in das Themenfeld "Explicatio Textus - Heinrich Schütz, Max Reger, Siegfried Reda" einordnen. Helmut Lauterwasser und Stefan Steinemann stellen ein musikalisches Stammbuch im Umfeld des Geistlichen Ministeriums zu Braunschweig aus dem 17. Jahrhundert vor, Matteo Messori und Anna Katarzyna Zareba berichten über neue biographische und musikalische Funde zu Vincenzo Albrici (1631-1687), und Bernd Koska diskutiert ein Schmalkalder Noteninventar im Blick auf das geistliche Vokalwerk Georg Ludwig Agricolas. Weitere Beiträge von Aagje Pabbruwe, Roman Summereder und Pieter Dirksen bereichern den Band.
Child and Cross from the beginning puts children in the center, listening to how they perceive the man on the cross. Three initial chapters trace the life of this Jesus bar Abbas according to highly respected sources, in a very human, down-to-earth way from mother's womb to rebels' cross. How the picture of the rabbi's deadly torture became the obsessive icon of the West and in an "automatic and preconscious" way (Melvin Lerner) continues working as the learning tool for Jew-hate is explained thanks to the sensitivity of psychologists like Søren Kierkegaard, Jean Piaget and Helena Antipoff, exposed in 73 pictures. The return of Passion details in Christian views of Jews, the reenactment of those scaring details in thousand years of "just punishment", racism as product of inquisition, the still solid cross taboo in Germany, the complex of cross and Zionism and the kafkaesque cross judgement of the European Court for Human Rights in Strasbourg are examined while the human obsession with sacrifice itself gets analyzed in "The Lamb on Cross" whose pegged legs shaped western use of animals more than this Nazarene who in his last action fought precisely animal sacrifice. The final exam "Why Johanna fed him vanilla cake and other child's play questions" intends to sensitize the reader once again concerning the child & cross issue, well in accordance with the Galilean who "called a child and set him in their midst ..." Thus Child and Cross is mainly a) an exemplary study about the power of visual images and for respecting children's empathic ways of viewing this world; b) a consistent, comprising and explaining analysis of anti-Judaism by taking serious those human beings that academic research of "anti-Semitism" deems too small and childish to deal with; c) a contribution to Christian-Muslim-Jewish dialogue by detailed elaboration of not only the Christian symbol's role in the anti-Judaism that led to Zionism and thus to Gaza, but also of the connecting potential of this man from Galilee whom Matthew (27:16-17 in original Greek wording) calls Jesus bar Abbas; and d) a human rehabilitation of this Bar Abbas ("Son of Father") and his relatives, especially his brother Judas.
A sweeping history of twentieth-century Europe that examines its unprecedented destruction—and abiding promise A sweeping history of twentieth-century Europe, Out of Ashes tells the story of an era of unparalleled violence and barbarity yet also of humanity, prosperity, and promise. Konrad Jarausch describes how the European nations emerged from the nineteenth century with high hopes for continued material progress and proud of their imperial command over the globe, only to become embroiled in the bloodshed of World War I, which brought an end to their optimism and gave rise to competing democratic, communist, and fascist ideologies. He shows how the 1920s witnessed renewed hope and a flourishing of modernist art and literature, but how the decade ended in economic collapse and gave rise to a second, more devastating world war and genocide on an unprecedented scale. Jarausch further explores how Western Europe surprisingly recovered due to American help and political integration. Finally, he examines how the Cold War pushed the divided continent to the brink of nuclear annihilation, and how the unforeseen triumph of liberal capitalism came to be threatened by Islamic fundamentalism, global economic crisis, and an uncertain future. A gripping narrative, Out of Ashes explores the paradox of the European encounter with modernity in the twentieth century, shedding new light on why it led to cataclysm, inhumanity, and self-destruction, but also social justice, democracy, and peace.
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