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Mathematical Principles of Drone Technology, All-Terrain Scooters, and Urban Combat for National Defense and Homeland Security (#2127)

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Date of Conference

July 16-18, 2025

Published In

"Engineering, Artificial Intelligence, and Sustainable Technologies in service of society"

Location of Conference

Mexico

Authors

Hercilla Hereda, Luis Guillermo

Abstract

In this article the author explores the application of differential equations and mathematical algorithms in the use of drones as high-precision artillery weapons, comparable to modern missiles in cost and effectiveness. The Kalman filter is employed to estimate the target's position and velocity by combining measurements with a motion model. Additionally, the mathematical impact of all-terrain electric scooters on infantry effectiveness is analyzed, adapting Lanchester’s combat models. Finally, the 1:5 ratio in urban combat is derived, demonstrating how its application enables the neutralization of occupying forces attempting to seize a city.

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