APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS

APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS

In this paper, we proposes an algorithm to approximate the Euclidean distance between points of plane, by doing a search of geodesic that depart from the point and arrive to a neighborhood of the point . This search is done through the numerical solution of initial value problems associated with the...

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Main Author: Franco Rubio López
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2015-12-01
Series:Selecciones Matemáticas
Subjects:
euclidean distance
intrinsec distance
geodesic distance
geodesics
initial value problem
approximation
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1241/1139
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spelling doaj-bf6299f6fa8c4b7e8f667f4b472eed762020-11-25T03:16:24ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832015-12-01202819110.17268/sel.mat.2015.02.08APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICSFranco Rubio López0https://orcid.org/0000-0002-0168-3806Departamento de Matemáticas, Universidad Nacional de Trujillo, Peru.In this paper, we proposes an algorithm to approximate the Euclidean distance between points of plane, by doing a search of geodesic that depart from the point and arrive to a neighborhood of the point . This search is done through the numerical solution of initial value problems associated with the system of ordinary differential equations of the geodesics; for this is choose a set of directions in the plane.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1241/1139euclidean distanceintrinsec distancegeodesic distancegeodesicsinitial value problemapproximation
collection DOAJ
language Spanish
format Article
sources DOAJ
author Franco Rubio López
spellingShingle Franco Rubio López
APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
Selecciones Matemáticas
euclidean distance
intrinsec distance
geodesic distance
geodesics
initial value problem
approximation
author_facet Franco Rubio López
author_sort Franco Rubio López
title APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
title_short APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
title_full APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
title_fullStr APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
title_full_unstemmed APPROXIMATION OF THE DISTANCE IN THE PLANE THROUGH THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS ASSOCIATED TO GEODESICS
title_sort approximation of the distance in the plane through the numerical solution of initial value problems associated to geodesics
publisher Universidad Nacional de Trujillo
series Selecciones Matemáticas
issn 2411-1783
2411-1783
publishDate 2015-12-01
description In this paper, we proposes an algorithm to approximate the Euclidean distance between points of plane, by doing a search of geodesic that depart from the point and arrive to a neighborhood of the point . This search is done through the numerical solution of initial value problems associated with the system of ordinary differential equations of the geodesics; for this is choose a set of directions in the plane.
topic euclidean distance
intrinsec distance
geodesic distance
geodesics
initial value problem
approximation
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1241/1139
work_keys_str_mv AT francorubiolopez approximationofthedistanceintheplanethroughthenumericalsolutionofinitialvalueproblemsassociatedtogeodesics
_version_ 1724636391637254144

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