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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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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 |
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Scielo Chile |
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Scielo Chile |
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English |
topic |
approximation elementary ellipse estimate Maclaurin series mathe- matical validity perimeter simple |
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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 |
work_keys_str_mv |
AT lampretvito theperimeterofaflattenedellipsecanbeestimatedaccuratelyevenfrommaclaurin8217sseries AT lampretvito perimeterofaflattenedellipsecanbeestimatedaccuratelyevenfrommaclaurin8217sseries |
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1714206803199262720 |