All submissions of the EM system will be redirected to **Online Manuscript Submission System**. Authors are requested to submit articles directly to **Online Manuscript Submission System** of respective journal.

Amazing porn model Belle Delphine nudes on sexe-libre.org. Watch free video collection of Belle Delphine nede leaked

Rare Muslim porn and سكس on sexsaoy.com. Tons of Arab porn clips.

XNXX and Xvideos porn clips free on xnxxarabsex.com. Best XnXX porn tube channels, categorized sex videos, homemade and amateur porn.

Exlusive russian porn russiainporn.com. Get uniqe porn clips from Russia

Find out on sexjk.com best collection of Arabain and Hijab سكس

Eng, Dule 1641 Sandy Point Rd, Saint John Nb, Canada

- *Corresponding Author:
- Paul TE Cusack

Eng, Dule 1641 Sandy Point Rd, Saint John Nb, Canada[email protected]

E-mail:

**Received date: **10/05/2016 **Accepted date:** 24/05/2016
**Published date:** 28/05/2016

**Visit for more related articles at** Research & Reviews: Journal of Statistics and Mathematical Sciences

The Complex number, which relies on the Imaginary Number (sqrt-1), can be determined by the use of the Golden Mean Equation. Using simple algebraic manipulation, we can show that the sqrt (-1) has a real value and it the “Conjugate of the Golden Mean”, or 0.618. This paper shows how.

Imaginary number, Complex number, Golden mean.

Since we know that, on the real number line, the point where the fraction meets the multiple occurs at the real value of 1. We reason that, since there are fractions and multiples on the Complex Plane, and then the Golden Mean equation must work there too. In fact, it does. Below, I show, in simplicity, how this works out. This fact that the sqrt (-1) opens up a new vista in Complex numbers [1,2].

The Golden Mean is where the Multiple equals the Fraction, given by the famous equation:

x=1/[x-1]

Or Letting n=multiple and n=fraction denominator, we have,

Multiple = Fraction

n[1- sqrt (-1)]=[1+ sqrt (-1)]/ n

Now,

Let n=sqrt (-1)

n+n [sqrt (-1)]=[1/ sqrt (-1)] +1

Now,

Let n=1

1+ sqrt (-1)=[1/ sqrt (-1)] + 1

(sqrt(-1)=1/ sqrt(-1)

Cross Multiplying,

Cancelling the 1’s on both sides, and simplifying,

[sqrt (-1)][sqrt (-1)]=1

-1=1

Taking the square root of both sides, (top determine the value of the sqrt (-1), (as yet undetermined) :

Sqrt (-1) = sqrt(- 1)

Or, sqrt 1=1=sqrt (-1)

1 is where the fraction meets the multiple. So, the Golden Mean applies,

Using sqrt (-1)=1, then,

x=1/ (x-1)

x=1/ [x-sqrt(-1)]

1.6128=1/[1.618-1)

1.618=1/0.618

1=1 (True)

Therefore, the fraction equals the multiple in the Complex Plane as well as the Real Plane. Thus, we can use the Golden Mean Equation there too.

Now,

Let x=1+i

1+i=1/[1+i-1}

1+i=1/i

i=1/[1+i]

i=0.618

Check:

0.618=1/1.618 (True)

So i=sqrt (-1)=0.618

The Imaginary number =sqrt (-1) has a real value and it is the Conjugate of the Golden Mean, i.e., 0.618.