Anderson's Theorem | Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable

Frederic P. Miller (u. a.)

ISBN 10: 6132700773 / ISBN 13: 9786132700773

Published by OmniScriptum, 2026

About this Item

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

Bibliographic Details

• Title: Anderson's Theorem | Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable
• Publisher: OmniScriptum
• Publication Date: 2026
• Language: English
• ISBN 10: 6132700773
• ISBN 13: 9786132700773
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 137 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.