High Quality Content by WIKIPEDIA articles! 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.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.