Quaternions are more usable than three Euler angles in the three dimensional Euclidean
space. Thus, many laws in different fields can be given by the quaternions. In this study, we …

The paper explains how a unit generalized quaternion is used to represent a rotation of a
vector in 3-dimensional E3 αβ space. We review of some algebraic properties of generalized …

ON THE PROPERTIES OF QUASI-QUATERNION ALGEBRA 1. Introduction Quaternions are an
effi cient way understanding many aspects of ph Page 1 Commun.Fac.Sci.Univ.Ank.Series A1 …

In this study, we obtain the 4 x 4 elliptic matrix representations of elliptic biquaternions with
theaid of the left and right Hamilton operators. Afterwards, we show that the space of 4 x 4 …

In this paper, a matrix which is similar to Hamilton operators has been presented to
bicomplex numbers in four dimensional Euclidean space E 4. We show that if the matrix is …

In this paper, a matrix which is similar to Hamilton operators has been developed for Cayley
numbers in eight dimensional Euclidean space E8 and a new motion has been defined by …

Geometric algebra is a useful tool to overcome some problems in kinematics. Thus, the
geometric algebra has attracted the attention of many researchers. In this paper, quaternion …

MATRIX THEORY OVER THE SPLIT QUATERNIONS Page 1 INTERNATIONAL JOURNAL OF
GEOMETRY Vol. 3 (2014), No. 2, 57 # 69 MATRIX THEORY OVER THE SPLIT QUATERNIONS …

The aim of this paper is to study the complex quaternions and their basic properties. We
express the De Moivre's and Euler's formulas for complex quaternions and by using these …

Bu çalışmada, dual dönüşüm yardımıyla E_1^ n deki homotetik hareketlerden E^ n de
homotetik hareketler elde ettik. Ayrıca, Öklidyen şemsiye matrisleri ile Lorentzian şemsiye …