Real Enumerator

Real Enumeration (n>0)

The real enumerator is synchronous to phenomena of the natural world, capable of generating real numbers in correspondence to observed patterns of the Fibonnaci sequence (φ) in nature.

For all real numbers (n>0):

Complex Enumeration (n<0)

The complex enumerator is a manifold derivative correlate to phenomena of the natural world. Complex enumeration adapts the complex set of numbers n<0 to real multiplets of n so that xn=yxn.

For all real numbers (n<0):

The real enumerator yields a whole number exactly equal to the sum of the two previous numbers Xn=[(x-1)+(x-2)].

The complex enumerator yields an oscillating whole number pattern (-1, 1, -1 ,1, -1, ...) generative of a continuously alternating transcription of the Fibonnaci sequence in nature.