User blog:B1mb0w/Alpha Function

Alpha Function

The Alpha Function is a relatively simple function with only one parameter:

Alpha(r)   where r is any real number

Alpha(r) is derived from the DNA function which itself is derived from the Modified Ackermann function with a Parameter Array or MA(PA[x])) where x is similar to Int(r), the integer part of r. See for the definition of these.

I have included Visual Basic code at the end of this blog to define the Alpha function exactly.

Alpha Function Definition

The following is VBA visual basic code and will run as a macro in Microsoft Excel. The function creates a string literal of what the DNA function created by Alpha. The function does not attempt to evaluate the DNA function and the run time is therefore very fast.