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Googolplix

aka SomeRandomGuy

  • I live in NZ
  • I was born on January 21
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  • Googolplix

    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,) ≈ {a,a,b,3,}

    I(a,b,c,3,) ≈ {a,b,c,3,}

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

    I(a,b,c,d,) ≈ {a,b,1,d,}

    I(a,b,1,1,2,) ≈ {a,a,1,b,}

    I(a,b,c,d,e,) ≈ {a,b,c,d,e,}

    I(a,b,c,d,e,f,) ≈ {a,b,c,d,e,f,}

    I(a,b...y,z,) ≈ {a,b...y,z,}

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  • 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,) = I…

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