GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE

N.G. Aharonyan; H.O. Harutyunyan

doi:10.46991/PYSU:A/2017.51.3.211

GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE

Authors

N.G. Aharonyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia
H.O. Harutyunyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.3.211

Keywords:

covariogram, kinematic measure, orientation-dependent chord length distribution, convex body, triangle

Abstract

In the paper, using a relationship between probability $P(L(\omega)\subset \mathbf {D}) $ that a random segment of length $l$ in $R^{n}$ having a common point with body $D$ entirely lying in $D$ and the covariogram of $D$, we obtain the explicit form of $P(L(\omega)\subset \mathbf {D}) $ for any triangle on the plane.

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Published

2017-12-15

How to Cite

Aharonyan, N., & Harutyunyan, H. (2017). GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(3 (244), 211–216. https://doi.org/10.46991/PYSU:A/2017.51.3.211