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# Googolplix

## aka SomeRandomGuy

• I live in NZ
• I was born on January 21
• I am Male
• ## Comparing lIAN with BEAF

December 17, 2016 by Googolplix

I(a,b,) = {a,b,}

I(a,b,c,) = {a,b,c+1,}

I(a,b,1,2,) = {a,a,b+1,}

I(a,b,2,2,) > {a,b,1,2,}

I(a,b,c,2,) > {a,b,c-1,2,}

I(a,b,1,3,) â‰ˆ {a,a,b,3,}

I(a,b,c,3,) â‰ˆ {a,b,c,3,}

I(a,b,1,c,) < {a,b,1,c,}

I(a,b,c,d,) â‰ˆ {a,b,1,d,}

I(a,b,1,1,2,) â‰ˆ {a,a,1,b,}

I(a,b,c,d,e,) â‰ˆ {a,b,c,d,e,}

I(a,b,c,d,e,f,) â‰ˆ {a,b,c,d,e,f,}

I(a,b...y,z,) â‰ˆ {a,b...y,z,}

• ## Linear Iterating array notation

December 17, 2016 by Googolplix

The Linear Iterating Array Notation (lIAN) is the first part of my Iterating Array Notation (IAN)

Rules of lIAN:

2 entry IAN (1 rule):

- I(a,b,) = a^b

3 entry IAN (1 rule):

- I(a,b,c,) = I^b(a,a,c-1,)

Iteration IAN (2 rules):

- I^n+1(a,b,#) = I(a,I^n(a,b,#),#)

- I^1(#) = I(#)

lIAN (3 rules):

- I(#,1,) = I(#)

- I(a,b,#,1,c+1,#) = I(a,a,#,b,c,#)

- I(a,1,#) = a

Examples:

I(3,2,2,) = I^2(3,3,1,) = I(3,I(3,3,)) = I(3,27,) = 7625597484987 > {3,2,2,}

I(3,3,2,2,) = I^3(3,3,1,2,) = I(3,I(3,I(3,3,1,2,),1,2,),1,2,) = I(3,I(3,I(3,3,3,),1,2,),1,2,) = I(3,I(3,I^3(3,3,2,),1,2,),1,2,)

I(3,I(3,I(3,I(3,I(3,3,2,),2,),2,),1,2,),1,2,) = I(3,I(3,I(3,I(3,I^3(3,3,),2,),2,),1,2,),1,2,) = I(3,I(3,I(3,I(3,I(3,3^^2,),2,),2,),1,2,),1,2,) = I(3,I(3,I(3,I(3,3^^3,2,),2,),1,2,),1,2,) = Iâ€¦