Equipartition of a Segment

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Standard

Equipartition of a Segment. / Avvakumov, Sergey; Karasev, Roman.

I: Mathematics of Operations Research, Bind 48, Nr. 1, 2023, s. 194-202.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Avvakumov, S & Karasev, R 2023, 'Equipartition of a Segment', Mathematics of Operations Research, bind 48, nr. 1, s. 194-202. https://doi.org/10.1287/moor.2022.1260

APA

Avvakumov, S., & Karasev, R. (2023). Equipartition of a Segment. Mathematics of Operations Research, 48(1), 194-202. https://doi.org/10.1287/moor.2022.1260

Vancouver

Avvakumov S, Karasev R. Equipartition of a Segment. Mathematics of Operations Research. 2023;48(1):194-202. https://doi.org/10.1287/moor.2022.1260

Author

Avvakumov, Sergey ; Karasev, Roman. / Equipartition of a Segment. I: Mathematics of Operations Research. 2023 ; Bind 48, Nr. 1. s. 194-202.

Bibtex

@article{78382969052b4d86b26420e892f3defa,
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",
note = "Publisher Copyright: Copyright: {\textcopyright} 2022 INFORMS.",
year = "2023",
doi = "10.1287/moor.2022.1260",
language = "English",
volume = "48",
pages = "194--202",
journal = "Mathematics of Operations Research",
issn = "0364-765X",
publisher = "Institute for Operations Research and the Management Sciences (I N F O R M S)",
number = "1",

}

RIS

TY - JOUR

T1 - Equipartition of a Segment

AU - Avvakumov, Sergey

AU - Karasev, Roman

N1 - Publisher Copyright: Copyright: © 2022 INFORMS.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - configuration space

KW - fair partition

U2 - 10.1287/moor.2022.1260

DO - 10.1287/moor.2022.1260

M3 - Journal article

AN - SCOPUS:85152192465

VL - 48

SP - 194

EP - 202

JO - Mathematics of Operations Research

JF - Mathematics of Operations Research

SN - 0364-765X

IS - 1

ER -

ID: 382505327