Y. Kalinovsky, J. Boyarinova, A.Turenko, Y. Khitsko
ABSTRACT
The main properties of antiquaternions as generalization of hypercomplex system of quaternions are presented in the article. Definitions and rules of performance of operations with antiquaternions, conjugate antiquaternions, their norm and zero divider are introduced and investigated, and representation of exponential function of antiquaternion variable by using the method of associated system of the linear differential equations is constructed as well. Such studies would allow one to formulate and solve new practical problems and improve the efficiency of solving the problems already discussed earlier.
KEYWORDS
quaternion, antiquaternion, hypercomplex number system, zero divisor, exponent, pseudonorm, conjugate antiquaternion.
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