The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series

ABSTRACT For the perimeter P(a, b) of an ellipse with the semi-axes a ≥ b ≥ 0 a sequence Q n (a, b) is constructed such that the relative error of the approximation P(a, b) ≈ Q n (a, b) satisfies the following inequalities true for

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Autor principal: Lampret,Vito
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200051
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spelling oai:scielo:S0719-064620190002000512019-10-11The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s seriesLampret,Vito approximation elementary ellipse estimate Maclaurin series mathe- matical validity perimeter simple ABSTRACT For the perimeter P(a, b) of an ellipse with the semi-axes a ≥ b ≥ 0 a sequence Q n (a, b) is constructed such that the relative error of the approximation P(a, b) ≈ Q n (a, b) satisfies the following inequalities true for info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.2 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200051en10.4067/S0719-06462019000200051
institution Scielo Chile
collection Scielo Chile
language English
topic approximation
elementary
ellipse
estimate
Maclaurin series
mathe- matical validity
perimeter
simple
spellingShingle approximation
elementary
ellipse
estimate
Maclaurin series
mathe- matical validity
perimeter
simple
Lampret,Vito
The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
description ABSTRACT For the perimeter P(a, b) of an ellipse with the semi-axes a ≥ b ≥ 0 a sequence Q n (a, b) is constructed such that the relative error of the approximation P(a, b) ≈ Q n (a, b) satisfies the following inequalities true for
author Lampret,Vito
author_facet Lampret,Vito
author_sort Lampret,Vito
title The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
title_short The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
title_full The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
title_fullStr The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
title_full_unstemmed The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
title_sort perimeter of a flattened ellipse can be estimated accurately even from maclaurin’s series
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200051
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