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A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling.
Jewish Girls Coming of Age in America, 1860—1920 draws on a wealth of archival material, much of which has never been published—or even read—to illuminate the ways in which Jewish girls’ adolescent experiences reflected larger issues relating to gender, ethnicity, religion, and education. Klapper explores the dual roles girls played as agents of acculturation and guardians of tradition. Their search for an identity as American girls that would not require the abandonment of Jewish tradition and culture mirrored the struggle of their families and communities for integration into American society. While focusing on their lives as girls, not the adults they would later become, Klapper d...
Constraint programming aims at supporting a wide range of complex applications, which are often modeled naturally in terms of constraints. Early work, in the 1960s and 1970s, made use of constraints in computer graphics, user interfaces, and artificial intelligence. Such work introduced a declarative component in otherwise-procedural systems to reduce the development effort.
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The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence ...
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This book constitutes the strictly refereed post-proceedings of the 5th International Hybrid Systems Workshop held in Notre Dame, Indiana, USA in September 1998. The 23 revised full papers presented in the book have gone through two rounds of thorough reviewing and revision. The volume presents state-of-the-art research results and particularly addresses such areas as program verification, concurrent and distributed processes, logic programming, logics of programs, discrete event simulation, calculus of variations, optimization, differential geometry, Lie algebras, automata theory, dynamical systems, etc.
Explore what it means to be Jewish in contemporary America with a collection of columns by Professor Martin S. Jaffee, which first appeared in Seattle's JTNews: The Voice of Jewish Washington. From his early days as a boy in suburban Long Island, Jaffee's Jewish radar has served him faithfully. He's always been able to spot a fellow Jew from a mile away, and his faith has helped him through many tough times. It's time to laugh along with the professor as he makes humorous observations and also considers more serious issues such as faith, tradition and family. In this volume you'll read essays about: ● Jewish radar in the post-ethnic Twilight Zone; ● Groucho's paradox; ● Experiments in popular Jewish mythology; ● The hardest Jewish conversation; ● And much more! Jaffee's column "A View From the U," is a fan favorite for Jews throughout the Pacific Northwest and was recognized in 2007 by the Jewish Press Association of America with the Simon Rockower Award for Excellence in Journalism. Now, everyone can experience his wit and insights in The End of Jewish Radar.