Geometric Algebra (GA) has emerged as a transformative framework in power systems analysis, offering a unified mathematical language that extends classical vector and complex number techniques. By ...

金谷 健一『幾何学と代数系 Geometric Algebra -ハミルトン,グラスマン,クリフォード』のレビュー アメリカの物理学者ヘステネスを中心に提唱された「幾何学的代数」(geometric algebra) に関する教科書。例を3次元に限定し，その応用に重点を置いている。 もくじ ...

This repository contains package files and example notebooks for using several types of projective geometric algebra in Mathematica. Packages are provided for both rigid and conformal geometric ...

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close ...

Abstract: Geometric algebra possesses many advantages and mathematical simplifications in electromagnetics. One of these advantages is the simple way that reflections and rotations can be depicted.

This work investigated Projective Geometric Algebra (PGA) for 3D object classification using deep learning. We focused on classifying complex 3D geometries, specifically vascular structures. A key ...

In this paper, the electromagnetic field strength and the Lorentz force in Geometric Algebra Cl 3,0 will be calculated, and their equivalent in the tensor covariant formalism will be compared, ...