User blog:Swooped me in one hit/Improved version of swoops notation.

 Improved version of swoops notation

This is the improved version of my 1st notation mainly n-p-o-(x)-(y)

For this improved version we start like this (n) this means that you take (n) and make a power tower of (n) height.

so if n=2 then you get 2^2^2 although this looks like a tower of 3 2's the base ie the 1st 2 doesn't count.

(n)-(p) means that you repeat the  (n) operation) (n) times you then repeat that  another  (n) times then repeat that another (n) times so in total you repeat this process (n) times.

by repeat I mean that you literally copy and past that tower you got from your starting number n and copy that power tower that many times. so for you would copy and paste 2^2^2  2^2^2 times you repeat the process that many times.

(n)-(p)-(o) means take what you did for (n)-(p) and repeat it (n)-(p)^(n)-(p)... times where the number of (n)-(p)'s is equal

(n)-(p)^(n)-(p)

The next stage is to place the ((x)) in the notation what this does is that it repeats what you did in the previous stage and raises it to a power tower of itself, itself many times.

For example so suppose you have a tower with a height 6*10^180 you repeat the process of what I called extending and repeat it that many times and do that many cycles of repeats.

now for the final part of the notation the ((y)) raises the number you got previously to the power of itself that many times and you repeat it that many times for that many cycles you then repeat this processthat many times and so and so and so forth until you have repeated the process that many times.

Once you've done that you're finnished.

