Anderson's theorem
id:
anderson-s-theorem-309-2118535
title:
Anderson's theorem
text:
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) i
brand slug:
wiki
category slug:
encyclopedia
description:
On when a function on convex body K does not decrease if K is translated inwards
original url:
https://en.wikipedia.org/wiki/Anderson%27s_theorem
date created:
date modified:
2023-01-22T18:22:26Z
main entity:
{"identifier":"Q4753992","url":"https://www.wikidata.org/entity/Q4753992"}
image:
fields total:
13
integrity:
14