The chord length distribution function for regular polygons-Reference-Cited by-同舟云学术

The chord length distribution function for regular polygons

Published:2009-06 Issue:2 Volume:41 Page:358-366
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Harutyunyan H. S.,Ohanyan V. K.

Abstract

In this paper we obtain an elementary expression for the chord length distribution function of a regular polygon. The formula is derived using δ-formalism in Pleijel identity. In the particular cases of a regular triangle, a square, a regular pentagon, and a regular hexagon, our formula coincides with the results of Sulanke (1961), Gille (1988), Aharonyan and Ohanyan (2005), and Harutyunyan (2007), respectively.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference13 articles.

1. Chord length distribution of pentagonal and hexagonal rods: relation to small-angle scattering

2. Some properties of chord length distributions

3. Chord length distribution functions for polygons;Aharonyan;J. Contemp. Math. Anal.,2005

4. Recognition of triangles and quadrilaterals by chord length distribution

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