Andersons theorem mathematics real (2 résultats)

Taschenbuch. Etat : 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. …

Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…