Number Theory

    

Redefining Imaginary and Complex Numbers, Defining Imaginary and Complex Objects

Authors: Huseyin Ozel

The existing definition of imaginary numbers is solely based on the fact that certain mathematical operation, square operation, would not yield certain type of outcome, negative numbers; hence such operational outcome could only be imagined to exist. Although complex numbers actually form the largest set of numbers, it appears that almost no thought has been given until now into the full extent of all possible types of imaginary numbers. A close look into what further non-existing numbers could be imagined help reveal that we could actually expand the set of imaginary numbers, redefine complex numbers, as well as define imaginary and complex mathematical objects other than merely numbers.

Comments: 44 Pages.

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Submission history

[v1] 2018-03-16 05:37:57

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