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 …

Prologue. It is evident from the title that this is a philosophical discussion. I shall not
apologize for the philosophy, though I am well aware that most scientists, engineers, and …

In this article, we present a powerful unifying framework for widely linear (WL) adaptive filters
building on the concept of geometric algebra (GA), including recently proposed complex …

This paper discusses a formation control problem in which a target formation is defined with
both distance and signed area constraints. The control objective is to drive spatially …

This article addresses the presupposition that mathematics is as effective as claimed and
thus remove the quandary of Wigner's" miracle," leading to a non-Platonist viewpoint. Also …

Traditional electrical power theories and one of their most important concepts—apparent
power—are still a source of debate, because they present several flaws that misinterpret the …

Several of the most fundamental transformations widely used by the power engineering
community are strongly based on geometrical considerations. Clifford's geometric algebra …

The calculation of power flow in power systems with the presence of harmonics has been
properly studied in the scientific literature. However, power flow calculation considering …

In this paper, power flows in electrical circuits are modelled in a mixed time-frequency
domain by using geometric algebra and the Hilbert transform for the first time. The use of this …

There are a wide variety of different vector formalisms currently utilized in engineering and
physics. For example, Gibbs' three-vectors, Minkowski four-vectors, complex spinors in …