Equipartition of a Segment

Sergey Avvakumov () and Roman Karasev ()
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Sergey Avvakumov: Department of Mathematical Sciences, University of Copenhagen, Copenhagen 2100, Denmark
Roman Karasev: Institute for Information Transmission Problems RAS, Moscow 127994, Russia; Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia

Mathematics of Operations Research, 2023, vol. 48, issue 1, 194-202

Abstract: 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 evaluated on segments, assuming that f may take positive and negative values, but its value on degenerate or empty segments is zero.

Keywords: Primary: 91B32; secondary: 55M20; 55M35; fair partition; configuration space (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormoor:v:48:y:2023:i:1:p:194-202

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