The aim of this work is to show that the currently widely accepted geometrical model of space and time based on the works of Einstein and Minkowski is not unique. The work presents an alternative ...

Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has been ...

This unique and richly illustrated book explores barycentric calculus, a geometric method grounded in the concept of the center of gravity. Used to elegantly determine triangle centers through ...

Abstract: This article proposes a dynamic obstacle avoidance framework for autonomous mobile robots (AMRs), which employs the extended Euclidean distance (EE) method in both the global path search and ...

The provided program implements a k-nearest neighbors (k-NN) algorithm for predicting the Corruption Perception Index (CPI) of countries based on macro-economic and social features. The program allows ...

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

Abstract: Large language models (LLMs) have revolutionized natural language processing (NLP), enabling machines to process, understand and generate human-like text with high accuracy. However, the ...