The Equation for Contentment Function

I suddenly came across this enlightening moment. May be I am out of mind or perhaps I am overworked and need some sleep. Nevertheless, I think it is worth mentioning. I have discovered equation for contentment function of life !
Contentment in life is a function of following factors:
1. Imaginary part -- expectations, desires, wishlist etc etc
2. Phase of life (will explain it later)
3. Progression of Life

These factors are related through Euler's formula as:

Progression of Life = e^iθ

e^iθ = cosθ + i sinθ -- (Euler's Forumla)

Here, i = sqrt(-1) -- imaginary number.

Plot of this function looks as follows:


θ, is the most significant determinant of the outcome. θ, is the phase difference w.r.t benchmark criterion in life. Benchmark criterion is individual specific, and in most common ways defined by peers of the individual.

Real part of this function is Contentment.

Imaginary part is expectations, wishelist etc.


Few important corollaries:

1. Expectation and reality always differ in phase. (sin θ and cos θ differ by 90 deg)

2. Your life will always revolve around center point in real and imaginary domain.

3. Radius of circle will always be one.

4. Your satisfaction levels will depend upon your confirmity with your benchamark criterion.