GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE
DOI:
https://doi.org/10.46991/PYSU:A/2017.51.3.211Keywords:
covariogram, kinematic measure, orientation-dependent chord length distribution, convex body, triangleAbstract
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.
Downloads
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
Issue
Section
Mathematics
License
Copyright (c) 2017 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.