{"title":"GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE","authors":"N. Aharonyan, H. O. Harutyunyan","doi":"10.46991/pysu:a/2017.51.3.211","DOIUrl":null,"url":null,"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.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2017-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the YSU A: Physical and Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46991/pysu:a/2017.51.3.211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
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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