Homothetic Cayley Formula and its Applications

Ünal, Doğan; Güngör, Mehmet Ali̇; Tosun, Murat

doi:10.1007/s00006-015-0631-0

Adv. Appl. Clifford Algebras

2015

DOI: 10.1007/s00006-015-0631-0

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Homothetic Cayley Formula and its Applications

Doğan Ünal

Mehmet Ali̇ Güngör

Murat Tosun

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2019

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Kuaterniyon Bakış Açısı ile Doğru ve Hiperdüzlem Boyunca Yansımalar

Erdoğdu

2019

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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In this study, the reflections in and are investigated by unit quaternions. Firstly, a linear transformation is defined to describe reflections in with respect to the plane passing through the origin and orthogonal to the quaternion. Then some examples are given to discuss obtained results. Similarly, two linear transformations are stated which correspond to the reflection in with respect to the hyperplane passing through the origin and a reflection with respect to the line in the direction of the quaternion. Finally, the matrix representaions of these reflections are found and the eigenvalues, eigenvectors of them are given to analyse the geometric meaning in terms of the components of the quaternion for each case.

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Kuaterniyon Bakış Açısı ile Doğru ve Hiperdüzlem Boyunca Yansımalar

Erdoğdu

2019

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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show abstract

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Homothetic Cayley Formula and its Applications

Cited by 1 publication

References 3 publications

Kuaterniyon Bakış Açısı ile Doğru ve Hiperdüzlem Boyunca Yansımalar

Kuaterniyon Bakış Açısı ile Doğru ve Hiperdüzlem Boyunca Yansımalar

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