We discuss the applications of Gauge Theory Gravity (GTG) within the language of geometric algebra to the Dirac equation in the de Sitter and Rindler metrics as well as to the Unruh effect. We ...

This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022, held in Denver, CO, USA, during ...

Abstract: Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion ...

Abstract: Adaptive filters based on geometric algebra have demonstrated remarkable success in various applications, such as computer vision, data fusion, and linear prediction, particularly when ...

A unified mathematical framework for geometric computation, providing elegant tools for working with geometric algebra, manifolds, and their applications across mathematics and physics. The name ...

Recent RNN models deal with various dimensions of MTS as independent channels, which may lead to the loss of dependencies between different dimensions or the loss of associated information between ...

ABSTRACT: This paper provides an implementation of a novel signal processing co-processor using a Geometric Algebra technique tailored for fast and complex geometric calculations in multiple ...

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with ...

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