## Ultimate Large Number Notation

For all your silly time-killing forum games.

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ubersketch
Posts: 5
Joined: Sat Aug 18, 2018 3:45 pm UTC

### Ultimate Large Number Notation

Rules for Notation
1. It must be well-defined.
2. It must be computable.
3. It must terminate unless there is a rule that prevents non-terminating strings from appearing. (Note that stating "No non-terminating strings" invokes halting problem, breaking rule 2)

You may make, replace, or remove any amount of rules for each post. I will judge them after.

Rules:

1. §(x): write the number x in all words. Then replace each letter by its equivalent number (a=1, z=26) and assemble the resulting digits to make a new number.
2. x(a,b) = a^b
3. x(a,b,1) = x(a,b)
4. x(a,1,b) = a
5. x(a,b,c) = x(a,x(a,b-1,c),c-1)

Current growth rate: w
Last edited by ubersketch on Thu Jun 13, 2019 7:03 pm UTC, edited 3 times in total.

lllllllllwith10ls
Posts: 15
Joined: Thu Mar 07, 2019 2:52 am UTC

### Re: Ultimate Large Number Notation

x(a,b) = a^b
mom fapathi

solune
Posts: 114
Joined: Thu Jul 21, 2011 12:58 pm UTC

### Re: Ultimate Large Number Notation

So we can define any rule we want ?

§(x): write the number x in all words. Then replace each letter by its equivalent number (a=1, z=26) and assemble the resulting digits to make a new number.

ex: §(1) -> one -> 15, 14, 5 -> 15145

ubersketch
Posts: 5
Joined: Sat Aug 18, 2018 3:45 pm UTC

### Re: Ultimate Large Number Notation

You can define whatever rule you want, but it might not contribute to the growth of the function and might be entirely disjoint from anything else in the notation. I don't recommend you do anything like this.

lllllllllwith10ls
Posts: 15
Joined: Thu Mar 07, 2019 2:52 am UTC

### Re: Ultimate Large Number Notation

x(a,b,1) = x(a,b)
x(a,1,b) = a
x(a,b,c) = x(a,x(a,b-1,c),c-1)
mom fapathi

ubersketch
Posts: 5
Joined: Sat Aug 18, 2018 3:45 pm UTC

### Re: Ultimate Large Number Notation

On growth rate w (omega) already.

phillip1882
Posts: 145
Joined: Fri Jun 14, 2013 9:11 pm UTC
Location: geogia
Contact:

### Re: Ultimate Large Number Notation

#x = 2*3*5*7*11*13*17... largest prime < x
##x = #(#x^#x)
###x = #(##x^##x)
#####109
good luck have fun

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