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 Operational iteration Xorter Fellow Posts: 93 Threads: 30 Joined: Aug 2016 07/03/2017, 07:47 PM In my view, the composition and iteration are in very friendly relationship... why? Because Let O be an iteratable operator, let y be a constant and x be a variable. Thus y O y O ... O y = (y O x)^o(x-1) o N = y O^It x If O is addition, O^It is multiplication and so on. But what is N? Well, N is the so-called Neutral number for the operator O, which can be 0 for addition, 1 for multiplication and its iterateds, x for composition, 1 for functional power and its iterateds etc... So it can be a formula for iteration, but how to repeat ("iterate")? It is iterated iteration...   or the correct expression: repeated iteration. I am interested in this equation: ( (y O x)^o(x-1) o N )^z = y O^(Iterated z times) x How can we use it? And am I right with these expressions? Xorter Unizo « Next Oldest | Next Newest »

 Messages In This Thread Operational iteration - by Xorter - 07/01/2017, 12:31 PM RE: Operational iteration - by Xorter - 07/03/2017, 07:47 PM RE: Operational iteration - by tommy1729 - 07/27/2017, 12:24 AM

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