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arxiv: math/0611387 · v2 · submitted 2006-11-13 · 🧮 math.CO · math.AT

Equipartitions of a Mass in Boxes

classification 🧮 math.CO math.AT
keywords equipartitionshyperplanesmassresultsadmitboxescollectioncondition
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The aim of this paper is to provide the sufficient condition for a mass distribution in R^d to admit an equipartition with a collection of hyperplanes some of which are parallel. The results extend the previously obtained results for the equipartitions with non-parallel hyperplanes.

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