User blog comment:GamesFan2000/Powerful Array Notation (Part 1)/@comment-33713741-20181116003651/@comment-35470197-20181116024216

Also, it is good to analyse your functions in known presentations such as FGH. Usually, naive extensions of known elementary notations give functions smaller than \(f_{\omega \times \omega}\). Therefore stating "powerful" does not make much sense, because we have no reasons to expect that your notations are more powerful than \(f_{\omega \times \omega}\)-level. So if you have a result on analysis which ensures the growth rate in FGH, then more googologists will give you feedbacks.