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arXiv:2009.09862 [math.MG]AbstractReferencesReviewsResources

Equipartition of a segment

Sergey Avvakumov, Roman Karasev

Published 2020-09-18Version 1

We prove that, for any positive integer $m$, a segment may be partitioned into $m$ possibly degenerate or empty segments with equal values of a continuous function $f$ of a segment, assuming that $f$ may take positive and negative values, but its value on degenerate or empty segments is zero.

Comments: arXiv admin note: substantial text overlap with arXiv:1804.03057
Categories: math.MG, math.AT, math.CO
Subjects: 51F99, 52C35, 55M20, 55M35
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