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Equipartition of a segment

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 Added by Roman Karasev
 Publication date 2020
  fields
and research's language is English




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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.



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