Minimal Sum of Powered Distances from the Sides of a Triangle
Elias Abboud
TL;DR
This paper uses KKT conditions to determine the minimal sum of powered distances from the sides of any triangle, providing a mathematical approach to a geometric optimization problem.
Contribution
It introduces a novel application of KKT conditions to solve the minimal sum of powered distances problem in triangle geometry.
Findings
Derived explicit solutions for the minimal sum of powered distances.
Extended the application of KKT conditions to geometric optimization.
Provided insights into the behavior of distances in triangle configurations.
Abstract
In this paper we apply the KKT conditions to find the minimal sum of powered distances from the sides of an arbitrary triangle.
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Taxonomy
TopicsRobotic Path Planning Algorithms · Robotic Mechanisms and Dynamics