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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 147–152 (Mi fpm1505)  
This article is cited in 8 scientific papers (total in 8 papers)

Computation of the longest segment of a given direction in a simplex

M. V. Nevskii

P. G. Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (103 kB) Citations (8)
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Abstract: Let $S$ be a nondegenerate simplex in $\mathbb R^n$ and let $v$ be a nonzero $n$-dimensional vector. We give the computational formulas for the length and endpoints of the longest segment in $S$ parallel to $v$.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 851–854
DOI: https://doi.org/10.1007/s10958-014-2175-6
Bibliographic databases:
Document Type: Article
UDC: 514.17+517.51
Language: Russian
Citation: M. V. Nevskii, “Computation of the longest segment of a given direction in a simplex”, Fundam. Prikl. Mat., 18:2 (2013), 147–152; J. Math. Sci., 203:6 (2014), 851–854
Citation in format AMSBIB
\Bibitem{Nev13}
\by M.~V.~Nevskii
\paper Computation of the longest segment of a~given direction in a~simplex
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 147--152
\mathnet{http://mi.mathnet.ru/fpm1505}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431791}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 851--854
\crossref{https://doi.org/10.1007/s10958-014-2175-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922076775}
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  • https://www.mathnet.ru/eng/fpm/v18/i2/p147
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :135
    References:47
    First page:1
     
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