The contribution of instructional communication research to teaching–learning beyond the classroom

LaBelle, Sara; Capra, Johnny; Hellem, Amy; Kuchenbecker, Cailin; Hodges, Arielle Leonard; Murphy, Madison

doi:10.1080/03634523.2022.2137216

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Cited by 4 publications

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“…Thanks to André Labelle [7], retired professor from the mathematics department of Montmorency College (Québec) Canada, for making me aware of Lemoine's result [12] concerning the probability that a rod cut randomly into three pieces gives rise to an acute triangle (see Corollary 2.5). In fact, this result was the initial motivation for me to produce this paper.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Probability distributions arising from isoperimetric random triangles

Labelle

2024

Maple Trans.

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We analyze the family of triangles whose sides come from a random subdivision of a given line segment into three segments. The usual geometric measurements on these random triangles (heights, bisectors, medians, angles, area, radii of the incircle, excircles, circumcircle) become random variables for which we determine the distribution function, the probability density, the expectation, the variance and higher order moments. This work can serve as a basis for activities at the college or university level. It is located at the crossroads between probability, geometry, integral calculus, special functions and computer algebra.

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Section: Acknowledgmentsmentioning

confidence: 99%