User blog:Boboris02/Boris´s sezration notation

BORIS´S SEZRATION NOTATION

Hello,my name is Boris and I´ve allways been facinated by large numbers. So I decided to write this article to show you my own invention,that I like to call "Boris´s sezration notation" because I think the name is cool and I like having my name in something.

Let´s start with the simplest form of it:A two-chain

Sopose you have two whole possitive integers (a and b). The simplest sezration you can do with it is this: [a,b] and that is equal to (in chained arrow notation) a→a→a→....→a and the number of a´s is b

Simple,but effective!

Now,let´s spice things up a bit with a three-chain!

[a,b,c]=c→c→c→....→c And there´s [a,b] many c´s. In other words [a,b,c]=[c,[a,b]]

Okay,but what about a four-chain?

[a,b,c,d]=[d,[a,b,c]]=d→d→d→d→...→d once again there´s [a,b,c] many d´s!!!

EXAMPLES:

[3,2]=3→3=27

[3,3]=3→3→3=3↑↑↑3=tritri

[3,4]=3→3→3→3 ~ G(G(27)) (using Graham`s number)

[3,7]=3→3→3→3→3→3→3 [3,7,5]=5→5→5→5→...→5→5([3,7] many fives)

[2,9,3,6]=6→6→6...→6→6 ([2,9,3] many sixes)

THE EXTENDED SEZRATION!

If what we did previously wasn`t crazy enuff,I have something new for you!

[a|b|a]=[a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a,a...a,a](where there are b many a`s)

EXAMPLES:

[3|4|3]=[3,3,3,3]=[3,[3,[3,[3]]]=[3,[3,[3↑↑↑3]]]=[3,[3→3→3→...(3↑↑↑3)....→3→3]] WOW!!!

We can also extend the extention!

[4|[5|10|5]|4]=[4|[5,5,5,5,5,5,5,5,5,5]|4]=[4,4,4,4,4,4,.....,4,4] and there are [5,5,5,5,5,5,5,5,5,5] many 4`s!