Mathematics Interdisciplinary Research

Abraham A. Ungar's Autobiography

Pages 1-3

Abraham A. Ungar

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The Intrinsic Beauty, Harmony and Interdisciplinarity in Einstein Velocity Addition Law: Gyrogroups and Gyrovector Spaces

Pages 5-51

Abraham A. Ungar

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Special Subgroups of Gyrogroups: Commutators, Nuclei and Radical

Pages 53-68

Teerapong Suksumran

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Gyroharmonic Analysis on Relativistic Gyrogroups

Pages 69-109

Milton Ferreira

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Bi-Gyrogroup: The Group-Like Structure Induced by Bi-Decomposition of Groups

Pages 111-142

Teerapong Suksumran, Abraham A. Ungar

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Normed Gyrolinear Spaces: A Generalization of Normed Spaces Based on Gyrocommutative Gyrogroups

Pages 143-172

Toshikazu Abe

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Gyrovector Spaces on the Open Convex Cone of Positive Definite Matrices

Pages 173-185

Sejong Kim

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An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach

Pages 187-198

Mahfouz Rostamzadeh, Sayed-Ghahreman Taherian

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The Principle of Relativity: From Ungar’s Gyrolanguage for Physics to Weaving Computation in Mathematics

Pages 199-228

Françoise Chatelin

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From the Lorentz Transformation Group in Pseudo-Euclidean Spaces to Bi-gyrogroups

Pages 229-272

Abraham A. Ungar

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Completed Issue 2016-1

Pages 1-272

• Editorial
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