User blog comment:B1mb0w/Strong D Function/@comment-5529393-20150805054856/@comment-10262436-20150805072842

Thanks for this review. I am intentionally focusing on n=3 as I build up my knowledge and skills in applying these functions. This has been a useful approach for me. I think it is also interesting to find where the Strong D function meets major milestones in the ordinal hierarchy up to epsilon nought and with n= (always) 3. After all each of these 'milestones' are finite so the Strong D Function will reach them eventually. However, I struggle with understanding or agreeing with Hyp Cos's analysis. I am working on some proofs on another blog that contradict these results. But for now. I will just call out that D(m.n.n) is way way bigger than f_{omega+m}(n) for any interesting value of n up to graham's number and probably beyond. Given the start of this reply regarding n=3, it should be trivial to show this is true for n=4,5,6,...,grahams number,etc. I will reply again with references to my proofs. Thanks again.