User blog comment:Simplicityaboveall/Extremely Large Numbers 4/@comment-5529393-20160801195700/@comment-25912386-20160802075251

Thanks for your comment Deedlit11 ! I do agree I have some problem in definning the R function although I know that I am going in the right direction. For ordinals greater than epsilon nought, I guess you do not agree with the " decomposition function ", through which an ordinal can be expressed in terms of w. For example, epsilon (1) is ( w ^^ w ) ^^ w which is approximately equal to w ^^ w2. There must be a way of expressing any ordinal in terms of w ! I believe that the Slow-Growing Hierarchy provides a clue to do this. By the way Deedlit11, who established the  list of comparisons between SGH and other googological notations on page "  http://googology.wikia.com/wiki/Slow-growing_hierarchy " ? Maybe you could help me with the R function yourself. This help would be greatly appreciated.