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A generalization of complex, dual and hyperbolic quaternions: Hybrid quaternions

A generalization of complex, dual and hyperbolic quaternions: Hybrid quaternions

Hybrid numbers are a new non-commutative number system which is a generalization of the complex (i2 = ?1), dual (?2 = 0), and hyperbolic numbers (h2 = 1). In this article, firstly we define a new quaternion system called hybrid quaternions by taking the coefficients of real quaternions as hybrid …