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For Borel probability measures on metric spaces, this text studies the interplay between isoperimetric and Sobolev-type inequalities. In particular the question of finding optimal constants via isoperimetric quantities is explored. Also given are necessary and sufficient conditions for the equivalence between the extremality of some sets in the isoperimetric problem and the validity of some analytic inequalities. The book devotes much attention to: the probability distributions on the real line; the normalized Lebesgue measure on the Euclidean sheres; and the canonical Gaussian measure on the Euclidean space.
In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo
Now available in paperback, this book provides a comprehensive account of survey sampling theory and methodology suitable for students and researchers across a variety of disciplines. It shows how statistical modeling is a vital component of the sampling process and in the choice of estimation technique. The first textbook that systematically extends traditional sampling theory with the aid of a modern model assisted outlook. Covers classical topics as well as areas where significant new developments have taken place.
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A gripping love story, in which the classic love triangle takes a very untraditional form. The plot is centered on an Estonian university student who falls in love with a young Baltic German woman. The Baltic Germans had lost their aristocratic position since Estonia declared its independence. The young German earns her keep as a tutor for an Estonian family, and is not well-off. The young man, Oskar, starts courting the girl frivolously, but then falls head-over-heels for her. Before long, the prejudice that an Estonian and a Baltic German are of unequal standing stalks the couple. When Oskar goes to ask Erika's grandfather - a former manor lord - for the girl's hand, the meeting leaves a deep impression on him. Oskar finds himself wondering if he doesn't love the woman in Erika, but rather her grandfather; meaning, her noble descent. Does love depend solely upon the emotions of two young individuals, or are their origins, their social and cultural background actually the deciding factor?
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The Invisible Actor presents the captivating and unique methods of the distinguished Japanese actor and director, Yoshi Oida. While a member of Peter Brook's theatre company in Paris, Yoshi Oida developed a masterful approach to acting that combined the oriental tradition of supreme and studied control with the Western performer's need to characterise and expose depths of emotion. Written with Lorna Marshall, Yoshi Oida explains that once the audience becomes openly aware of the actor's method and becomes too conscious of the actor's artistry, the wonder of performance dies. The audience must never see the actor but only his or her performance. Throughout Lorna Marshall provides contextual commentary on Yoshi Oida's work and methods. In a new foreword to accompany the Bloomsbury Revelations edition, Yoshi Oida revisits the questions that have informed his career as an actor and explores how his skilful approach to acting has shaped the wider contours of his life.