Equipartition of a Segment

Sergey Avvakumov; Roman Karasev

doi:10.1287/moor.2022.1260

Equipartition of a Segment

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	194-202
Number of pages	9
Journal	Mathematics of Operations Research
Volume	48
Issue number	1
DOIs	https://doi.org/10.1287/moor.2022.1260
State	Published - Feb 2023
Externally published	Yes

Keywords

configuration space
fair partition

All Science Journal Classification (ASJC) codes

General Mathematics
Computer Science Applications
Management Science and Operations Research

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10.1287/moor.2022.1260

Cite this

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title = "Equipartition of a Segment",

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 = "configuration space, fair partition",

author = "Sergey Avvakumov and Roman Karasev",

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year = "2023",

month = feb,

doi = "10.1287/moor.2022.1260",

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DO - 10.1287/moor.2022.1260

M3 - مقالة

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SP - 194

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JO - Mathematics of Operations Research

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Equipartition of a Segment

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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