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

 
9786132700773: Anderson's Theorem: Mathematics, Real analysis, Geometry, Integral, Convex body, Graph of a function, Probability theory, Random variable
Couverture souple
ISBN 10 : 6132700773 ISBN 13 : 9786132700773
Editeur : Alphascript Publishing, 2010

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.

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Éditeur
Alphascript Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
6132700773
ISBN 13 
9786132700773
Reliure
Broché
Nombre de pages
80
Éditeur
Miller Frederic P., Vandome Agnes F., McBrewster John
Coordonnées du fabricant
non disponible
Personne responsable
non disponible