Abstract: In this paper, the problem of automatic dance performance evaluation from human Motion Capture (MoCap) data is addressed. A novel framework is presented, using data captured by Kinect-based ...

ABSTRACT: This paper addresses a class of numerical solution problems for quaternion quadratic matrix equations arising from practical engineering applications. By transforming it into a special ...

The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally flat case of the ...

This paper presents a novel and comprehensive canonical quantization of the quaternionic scalar field within Minkowski spacetime, addressing challenges and inconsistencies observed in the quaternionic ...

Transformers power LLMs through self-attention, feed-forward networks (FFNs), and positional encodings, but their $O(n^2)$ complexity and silicon-based abstraction ...

ABSTRACT: Maxwell wrote that he wanted to “leaven” his Treatise on Electromagnetism with Quaternions. Maxwell died before doing this. Silberstein and Conway accomplished this partially. This ...

This paper introduce a fractional-fractal ψ-Fueter operator in the quaternionic context inspired in the concepts of proportional fractional derivative and Hausdorff derivative of a function with ...

THAT Prof. Tait should not be able to do justice to those who prefer to treat vectors as vectors, and quaternions as quaternions, instead of commingling their diverse natures, with the result, in the ...

Abstract: In the present paper we give an overview of recent applications of quaternionic analysis techniques to different mathematical models of electromagnetic theory. In this contribution we ...

Quaternionic quantum theory is an extension of the standard complex quantum theory. Inspired by this, we study the quaternionic quantum computation using quaternions. We first develop a theory of ...