Triangles and variance of the distance to the boundary

We consider the variance of the distance to the boundary for planar triangles. Our main result is that if g is a line segment joining a vertex of a triangle to a point on the opposite side, then the variance restricted to g is a convex function.

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Publication Details

Journal
Mathematics Exchange
Published
2025-03-28
DOI
https://doi.org/10.33043/ydyzb82y
Citations
1
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
Field-Weighted Citation Impact
0.67
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article

Triangles and variance of the distance to the boundary

Alastair Fletcher, K. Fletcher, Joseph Wasiqi
1 citations
Mathematics Exchange
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
0.67
article

Triangles and variance of the distance to the boundary

Alastair Fletcher, K. Fletcher, Joseph Wasiqi
article en
1 citations

Abstract

We consider the variance of the distance to the boundary for planar triangles. Our main result is that if g is a line segment joining a vertex of a triangle to a point on the opposite side, then the variance restricted to g is a convex function.

Mathematics ExchangeVol. 18(1)
Northern Illinois University (US)
Openalex Percentile: Top 33%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
0.67
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Triangles and variance of the distance to the boundary — Alastair Fletcher, K. Fletcher, et al. · Mathematics Exchange (2025) | TGRS Research Map | TGRS