In psychoanalysis, imago is an idealized concept of something or someone that a person cherished since infancy and usually stayed unaltered for a lifetime. In mathematical analysis, it is given for the concept of imaginary zero as a discriminant. This zero discriminant will be used to formulate a proof that the zero power of zero is both positive and negative unity: 0º = ±1.
It is firmly established in mathematics that finding the solutions to a quadratic equation (a conic section for a parabola) whose general form is given by ax²+bx+c=0, the expression b²-4ac is called the discriminant. It can be used to determine the reality, complexity, or imaginality of a quadratic function x: If b²-4ac ≥ 0 then the solutions are real rational or irrational numbers, if b²-4ac < 0 then the solutions are complex numbers, however, if b=0 and both a > 0 and c > 0 then the solutions are pure imaginary numbers.
It can be easily shown that the odd large number root of a negative infinitesimal approaches negative unity. On the other hand, the even large number root of a positive infinitesimal approaches positive unity.


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