04/27/2017, 08:57 PM

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?

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?