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You searched IISERK - Subject: Air Pollution Prévision.
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Call Number
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511/.6
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Author
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Spencer, Joel H.
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Title
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Ten lectures on the probabilistic method [electronic resource] / Joel Spencer.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1994.
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Material Info.
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1 electronic text (vi, 88 p.) : ill., digital file.
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Series
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CBMS-NSF regional conference series in applied mathematics ; 64
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Series
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CBMS-NSF regional conference series in applied mathematics ; 64.
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Summary Note
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This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.
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Notes
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Includes bibliographical references and index.
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Notes
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The probabilistic method -- The deletion method and other refinements -- Random graphs I -- Large deviations and nonprobabilistic algorithms -- Discrepancy I -- Chaos from order -- Random graphs II -- The Lovasz local lemma -- Discrepancy II -- Six standard deviations suffice -- The Janson inequalities.
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ISBN
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9781611970074 (electronic bk.)
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Subject
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Combinatorial analysis.
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Subject
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Probabilities.
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Subject
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Probabilistic method
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Subject
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Deletion method
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Subject
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Random graphs
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Subject
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Lovász local lemma
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Subject
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Standard deviations
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Subject
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Janson inequalities
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM
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