Methods of determining the remnants of numbers in a complex numerical domain
DOI:
https://doi.org/10.30837/rt.2017.4.191.12Abstract
The main methods for determining the residues of integer data presented in the residual class system (SOK) in a complex number area are considered. Three methods for determining the deductions of integer data are presented. Method for determining the complex residue of an integer complex number with respect to a complex modulus, the method for determining the smallest complex residue of an integer complex number with respect to a complex module, and the method for determining the real residue of an integer complex number with respect to a complex module. The third method is based on the results of the first fundamental theorem of Gauss. Many concrete examples of the determination of integers of integer data in a complex number domain are given. The results of the investigations should be used when processing complex numbers in SOK.References
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