User blog:KthulhuHimself/Comparing the norminals function to other already existing ones.

In this blog post, I'm going to be comparing and explaining the norminals function to other already existing function on the wiki (as the title suggests); which will include the first few numbers I will be coining which are defined using the norminals function.

Due to the immense growth-rate of these functions, there won't be too much to compare it too; so feel free to ask me to add some additional functions for comparison below (i.e. specify which).

Rayo(n)
The first function,  N <0> (n); is defined identically to FOST(10n), making it just a tad faster-growing than the Rayo function. Of course, the reason that it's defined just the same way as  FOST(10 n ) and not  FOST(n ), is in order to have interesting results fir lower n, such as 4, 10, etc.

Because the  N <0> (n) function is defined identically to the FOST function, there is no reason to coin any specific numbers for it.

I do not think that much more can be compared, so I'll move on.

F7(n)
Another notable function that compares to the norminals function is the one devised by none other than the Japanese googologist Fish.

Now; because the Rayo hierarchy ( R a (n) ) is defined in a practically identical way to  N  (n), it's easy to see that the growth-rates of the two coincide (to a rather close degree).

Because  F 7 (n) has a growth-rate approximately equal to that of  R gamma_0 (n), and because  R gamma_0 (n) has an approximately close growth rate to that of   N  (n); it's simple to see that  F 7 (n) and  N  (n) are similar both in function and in growth-rate.

As with above, b ecause the  N  (n) function is very close to the  F <sub style="font-weight:normal;">7 (n)  function, and there already is a number coined for the  F <sub style="font-weight:normal;">7 (n) function (Fish number 7),  there is no reason to further coin any specific numbers for it.

FOOT(n)
And, of course; we reach the FOOT function. Commonly regarded as the strongest function on the wiki which isn't a naive extension; comparing it to the norminals function can most definitely be an interesting task.

Now; I have got to go for the time being, so expect an update relatively soon.