Random Variable Functions From 'Matinga Noise Floor'

Chaos Law

1. The arithmetic 2 ^ 32 expression sequence of simple harmonic oscillations is Matinga Noise Floor.

   
   

2. The variable can be extended further by adding any sequential harmonics of the original expression to the orginal expression.

Matinga Noise Floor - In Chaos Law

Real numbers proceed to expand or evolve at maximum clock speed for a duration of time.

'x' is the displacement or path length, while ω is the angular velocity, multiplied by time, 't' to evolve 'x' or the equivalent, 'θ'. The time-cyclical, basic, sine equation produces a returning variable. The arithmetic sequence of the sin ( x

) expression will produce progressively more randomness in the amplitude. It will be pseudorandom with the randomness at its maximum, for m = 1, n = 2 ^ 32. That describes Matinga Noise Floor. It is the inherent, fundamnental quantum and electric noise in all materials.

Independent Variable, A = θ, x

Trigonometric Solution

(1) f ( x ), A = ∑ i = m, i = n ( 1/i ) * sin ( x /( n - i ) + h ),

Circular Function Solution

(2) f ( x ), A = ∑ i = m, i = n ( 1/i ) * ( 1 - ( x /( n - i ) ) ^ 2 ) ^ ( 1/2 )

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