Equipartition of two measures by a 4-fan (Q1597674)
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scientific article; zbMATH DE number 1747944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equipartition of two measures by a 4-fan |
scientific article; zbMATH DE number 1747944 |
Statements
Equipartition of two measures by a 4-fan (English)
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30 May 2002
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It is shown that given two probability measures on the plane, each absolutely continuous with respect to the Lebesgue measure, there is a point in the plane and four rays emerging for it so that each of the four generated sectors has measure \(1/4\) with respect to each of the two measures.
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