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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1312–1333
DOI: https://doi.org/10.33048/semi.2019.16.091
(Mi semr1132)
 

This article is cited in 1 scientific paper (total in 1 paper)

Geometry and topology

On the affine measurement of arcs of a moment curve

I. V. Polikanova

Altai State Pedagogical University, 6(1), Soviet str., Barnaul, 656002, Russia
Full-text PDF (229 kB) Citations (1)
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Abstract: The arc length, defined in affine space as an invariant of a unimodular transformation group, in the case of moment curve coincides with the result of the measurement process by successively putting off the unit of measure.
Keywords: moment curve, enica, parabola, affine center of arc on enica, affine-equal arcs, affine length of arc.
Received March 31, 2019, published September 27, 2019
Bibliographic databases:
Document Type: Article
UDC: 514.754.24
MSC: 53A15
Language: Russian
Citation: I. V. Polikanova, “On the affine measurement of arcs of a moment curve”, Sib. Èlektron. Mat. Izv., 16 (2019), 1312–1333
Citation in format AMSBIB
\Bibitem{Pol19}
\by I.~V.~Polikanova
\paper On the affine measurement of arcs of a moment curve
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1312--1333
\mathnet{http://mi.mathnet.ru/semr1132}
\crossref{https://doi.org/10.33048/semi.2019.16.091}
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  • https://www.mathnet.ru/eng/semr1132
  • https://www.mathnet.ru/eng/semr/v16/p1312
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :105
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