Partial Proof Of Centralized Knotting Equation

To Prove:  (-i)! = (i/PI) & (i)! = i*PI;

Proof:  If (-i)! = (i/PI), Then, (i/i)*(i/PI) = (-1)/(i*PI) = (-i)!;

If (-i)! = (-1)/(i*PI), &, (i)! = i*PI; then, -- ((-i)!)/(i*PI) = -1 & ((i)!/(i*PI) = 1;

If e^(i*PI) = e^((i)!) = (((i)!)/(i*PI))*(((-i)!)/(i*PI)) = 1*(-1) = -1;

Consequently, -- ((-i)!/(i*PI) MUST = -1 & ((i)!/(i*PI) = 1;

So -- If ((-i)! = ((-1)/(i*PI), Then,

((-i)!/(i*PI)) = (((-1/(i*PI)/(i*PI) = (-i*PI)/(i*PI) = -1; & ;

(((i)!/(i*PI)) = ((i*PI)/(i*PI)) = 1.

Therefore, -- (-i)! = (i/(PI)), &, (i)! = i*PI.

To Be Continued!  Sincerely, Samuel David Roach.