User blog comment:Denis Maksudov/M-notation (new version)/@comment-24920136-20160623045529

 There are several problems with your "check" logic

 You believe a few incorrect things:

 1, that f_1 which took you from x to x+ ω, actually took you from x to x2

 2, that   f_2  which took you from x  to x* ω, actually takes you from  x to  x^2

 3, that f_3 which took you from x to  x^ ω, actually took you to x^x