Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Random Triangle Theory: a Computational Approach

Version 1 : Received: 4 May 2022 / Approved: 5 May 2022 / Online: 5 May 2022 (07:58:23 CEST)

How to cite: Azzini, I. Random Triangle Theory: a Computational Approach. Preprints 2022, 2022050023 (doi: 10.20944/preprints202205.0023.v1). Azzini, I. Random Triangle Theory: a Computational Approach. Preprints 2022, 2022050023 (doi: 10.20944/preprints202205.0023.v1).

Abstract

In this work we study the following problem, from a computational point of view: If three points are selected in the unit square at random, what is the probability that the triangle obtained is obtuse, acute or right? We provide two convergent strategies: the frst derived from the ideas introduced in [2] and the second built on the combinatorics theory. The combined use of these two methods allows us to address the random triangle theory from a new perspective and, we hope, to work out a general method of dealing with some classes of computational problems.

Keywords

Random Triangle; Quasiorthogonal Dimension; Combinatorics; Computational Problems

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

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