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

 
9786132700773: Anderson's Theorem: Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable
Softcover
ISBN 10: 6132700773 ISBN 13: 9786132700773
Verlag: OmniScriptum, 2010

Inhaltsangabe

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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Reseña del editor

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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Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6132700773
ISBN 13 
9786132700773
Einband
Tapa blanda
Anzahl der Seiten
80
Herausgeber
Miller Frederic P., Vandome Agnes F., McBrewster John
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar