Geodesic
Chord length distribution function for lens
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 17-22.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper a formula for the chord length distribution function of a lens is obtained. In the special case of a regular lens the table of values of the chord length distribution function is given.
Keywords: chord length distribution function, regular lens. 
@article{UZERU_2011_3_a2,
     author = {H. S. Harutyunyan},
     title = {Chord length distribution function for lens},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {17--22},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2011_3_a2/}
}
TY  - JOUR
AU  - H. S. Harutyunyan
TI  - Chord length distribution function for lens
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2011
SP  - 17
EP  - 22
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2011_3_a2/
LA  - en
ID  - UZERU_2011_3_a2
ER  - 
%0 Journal Article
%A H. S. Harutyunyan
%T Chord length distribution function for lens
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2011
%P 17-22
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2011_3_a2/
%G en
%F UZERU_2011_3_a2
H. S. Harutyunyan. Chord length distribution function for lens. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 17-22. http://geodesic.mathdoc.fr/item/UZERU_2011_3_a2/

[1] R.V. Ambartzumian, Combinatorial Integral Geometry with Applications to Mathematical Stereology, John Wiley and Sons, Chichester, 1982 | MR | Zbl

[2] R. Schneider, W. Weil, Stochastic and Integral Geometry, Springer–Verlag, Berlin, 2008 | MR | Zbl

[3] R.V. Ambartzumian, Factorization Calculus and Geometric Probability, Cambridge University Press, Cambridge, 1990 | MR | Zbl

[4] W. Gille, “The chord length distribution of parallelepipeds with their limiting cases”, Exp. Tech. Phys., 36 (1988), 197–208

[5] H.S. Harutyunyan, V.K. Ohanyan, “The chord length distribution function for regular polygons”, Advances in Applied Probability (SGSA), 41:2 (2009), 358–366, University of Sheffield | DOI | MR

[6] N.G.Aharonyan , V.K. Ohanyan, “Chord length distribution functions for polygons”, Journal of Contemporary Mathematical Analysis NAS RA, 40:4 (2005), 43–56 | MR | Zbl

[7] H.S. Harutyunyan, “Chord length distribution function for a regular hexagon”, Proceedings of the YSU, 2007, no. 1, 17–24 (in Russian)