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

  • 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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