Based on high quality surgery and scientific data, scientists and surgeons are committed to
protecting patients as well as healthcare staff and hereby provide this Guidance to address …

This paper presents a novel approach for estimating the motion parameters of
noncooperative, free-floating space debris objects by assessing data from a multiple-input …

Involutions and anti-involutions are self-inverse linear mappings. In three-dimensional
Euclidean space R^ 3 R 3, a reflection of a vector in a plane can be represented by an …

Innovative dual complex structure-preserving algorithms are introduced to develop efficient
and resilient algorithms for singular value decomposition of dual quaternion matrices. Under …

Kompleks sayların genellestirilmesi düsüncesiyle 1843 yılında William Rowan Hamilton
tarafından tanımlanan kuaterniyonlar, son yüzyılda özellikle üç boyutlu dönmelerin …

An involution of a real commutative algebra $ A $ is a real-linear homomorphism $ f:
A\rightarrow A $ such that $ f^ 2=\mathrm {Id} $. We show that there are six involutions of the …

The shape operator is one of the most important research tools in differential geometry of
surfaces. It uses the tangent vectors on the surface, extensively the tangent vectors of the …

In this paper, semi-quaternions are studied with their basic properties. Unit tangent bundle of
R^ 2 R 2 is also obtained by using unit semi-quaternions and it is shown that the set TR^ 2 …

The aim of this paper is to study the algebra of split semi-quaternions with their basic
properties. Also, the results of the Euclidean planar motion given by Blaschke and Grünwald …

A map is an involution (resp, anti‐involution) if it is a self‐inverse homomorphism (resp,
antihomomorphism) of a field algebra. The main purpose of this paper is to show how split …