Natural Science, Mathematics, 2025
CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWORANDOM POINTS IN A CONVEX DOMAIN IN R2
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Submitted: 2025-01-29; Published: 2025-01-29
© 2025 by author(s) and The Gufo Inc.
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(CC BY-NC 4.0).
Abstract
In this article we define two new integral geometric concepts: conditional moments of the chord length distribution of a convex domain and conditional moments of the distance distribution of two independent uniformly distributed points in a convex domain. We also found a relation between these two concepts.