On the Volume of Sections of the Cube

We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate in a geometric way. We estimate the length of t...

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Bibliographic Details
Main Authors: Ivanov Grigory, Tsiutsiurupa Igor
Format: article
Language:EN
Published: De Gruyter 2021
Subjects:
Online Access:https://doaj.org/article/8b4c095f33f9465a8d086a653517305c
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