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Anderson's Theorem: Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable - Softcover
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Anderson''s theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease if K is translated inwards towards the origin. This is a natural statement, since the graph of f can be thought of as a hill with a single peak over the origin; however, for n ≥ 2, the proof is not entirely obvious, as there may be points x of the body K where the value f(x) is larger than at the corresponding translate of x. Anderson''s theorem also has an interesting application to probability theory.
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Anderson''s theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease if K is translated inwards towards the origin. This is a natural statement, since the graph of f can be thought of as a hill with a single peak over the origin; however, for n ≥ 2, the proof is not entirely obvious, as there may be points x of the body K where the value f(x) is larger than at the corresponding translate of x. Anderson''s theorem also has an interesting application to probability theory.
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Anderson's Theorem
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Anderson's Theorem | Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable
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Taschenbuch. Condition: Neu. Anderson's Theorem | Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786132700773 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 134668627
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Anderson's Theorem
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsAnderson's theorem is a result in real analysis and geometry which saysthat the integral of an integrable, symmetric, unimodal, non-negativefunction f over an n-dimensional convex body K does not decrease if K istranslated inwards towards the origin. This is a natural statementsince the graph of f can be thought of as a hill with a single peak overthe origin; however, for n ¿ 2, the proof is not entirely obvious, asthere may be points x of the body K where the value f(x) is larger thanat the corresponding translate of x. Anderson's theorem also has aninteresting application to probability theory.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 80 pp. Englisch. Seller Inventory # 9786132700773