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Definition of the noun Gyrogroup

What does Gyrogroup mean as a name of something?


  1. [math] A groupoid whose binary operation satisfies certain axioms, used with gyrovectors.

Printed books with definitions for Gyrogroup

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Google previewEssays in Mathematics and its Applications (2016)

In Honor of Vladimir Arnold by Themistocles Rassias, Panos M. Pardalos

that every gyrogroup is a loop with the A`-property, where the gyroautomorphisms correspond to left inner mappings. Sabinin et al. [55] showed that the left loop property (G4) ...

Google previewAnalytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity (2008)

by Abraham A. Ungar

A gyrogroup is a most natural extension of a group into the regime of the nonassociative algebra that we need in order to extend analytic Euclidean geometry into analytic hyperbolic geometry. Geometry, according to Herodotus, and the Greek ...

Google previewAnalytic Hyperbolic Geometry in N Dimensions (2014)

An Introduction by Abraham Albert Ungar

A gyrogroup (G, ⊕) is gyrocommutative if its binary operation obeys the gyrocommutative law (G6) a ⊕ b = gyr[a, b](b ⊕ a) for all a, b∈ G. The abstract gyrocommutative gyrogroup is an algebraic structure tailor made to suit Einstein velocity ...

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Video about Gyrogroup

Gyrogroup Meaning

Video shows what gyrogroup means. A groupoid whose binary operation satisfies certain axioms, used with gyrovectors.. Gyrogroup Meaning. How to ...

Scrabble value of G2Y4R1O1G2R1O1U1P3

The value of this 9-letter word is 16 points, but it's not an accepted word in the Official Scrabble Players Dictionary.

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