Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. A type of vector for which addition is defined by a formula that satisfies the axioms for a gyrogroup.
Etymologies
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Examples
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Similarly, this addition gives rise to gyrovector spaces that form the algebraic setting for the Poincaré ball model of hyperbolic geometry.
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In full analogy, Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative.
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In full analogy with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of relativistic gyrotrigonometry and gyrovector addition.
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The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami Klein ball model of the hyperbolic geometry of Bolyai and Lobachevsky.
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