 Non-arithmetical analysis - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: Non-arithmetical analysis (/showthread.php?tid=1167) Non-arithmetical analysis - Xorter - 04/27/2017 Hello, Everybody! This is the 800th post in this topic. Well, what if I define non-arithmetical operational derivatives and integrals on the following way. But before it, I would like to say about that we have 9 so-called ancient methods (operations) from arithmetical addition through functional multiplication to logical nand. Here is just a few example for the non-arithmetical derivation: https://www.dropbox.com/s/ayks4ffedzb4sos/NAD.jpg?dl=0 (N = 1) It can be iterated or extended to other ancient methods and to integrals (non-arithmetical anti-derivatives). And yes, as you can see, there is a derivative derivation, too ... interesting, is not it? My question is how to calculate of these iterated ancient methods? For example what is f^↑infinity?