User blog comment:B1mb0w/new Alpha Function/@comment-26428969-20150801143933/@comment-1605058-20150801150348

In my opinion, using alpha function makes working with these numbers less intuitive than working with D function itself, with the main reason being the fact that translation between D and alpha is much more complicated than rules of D function itself.

Also when it comes to comparing two numbers, especially ones not defined using D function, it's not worth the effort to compute the values of alpha close to these numbers and comparing them. If there is a good way to do this, then there is also a direct way to compare the two.