Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the cumulative distribution function (CDF), probability density function (PDF), and moments of distance between a given vertex and a uniformly distributed random point within a triangle in this work.
Based on a computational technique that helps us provide unified formulae of the CDF and PDF for this random distance then we compute its moments of arbitrary orders, based on which the variance and standard deviation can be easily derived.
We conduct Monte Carlo simulations under various conditions to check the validity of our theoretical derivations.
Our method can be adapted to study the random distances sampled from arbitrary polygons by decomposing them into triangles.
American Psychological Association (APA)
Li, Hongjun& Qiu, Xing. 2016. Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112695
Modern Language Association (MLA)
Li, Hongjun& Qiu, Xing. Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112695
American Medical Association (AMA)
Li, Hongjun& Qiu, Xing. Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112695
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112695