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On the volume of non-central sections of a cube Rudelson, Mark
Description
Let $Q_n$ be the $n$-dimensional cube of side length one centered at the origin, and let $F$ be an affine $(n-d)$-dimensional subspace having distance to the origin less than or equal to $1/2$.
We show that the $(n-d)$-dimensional volume of the section $Q_n$ by $F$ is bounded below by a value $c(d)$ depending only on the codimension $d$ but not on the ambient dimension $n$ or a particular subspace $F$.
Joint work with Hermann Koenig.
Item Metadata
| Title |
On the volume of non-central sections of a cube
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-02-10T10:42
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| Description |
Let $Q_n$ be the $n$-dimensional cube of side length one centered at the origin, and let $F$ be an affine $(n-d)$-dimensional subspace having distance to the origin less than or equal to $1/2$.
We show that the $(n-d)$-dimensional volume of the section $Q_n$ by $F$ is bounded below by a value $c(d)$ depending only on the codimension $d$ but not on the ambient dimension $n$ or a particular subspace $F$.
Joint work with Hermann Koenig.
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| Extent |
31.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Michigan, Ann Arbor
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| Series | |
| Date Available |
2020-08-09
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0392666
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International