Rules for Notation
1. It must be welldefined.
2. It must be computable.
3. It must terminate unless there is a rule that prevents nonterminating strings from appearing. (Note that stating "No nonterminating 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,b1,c),c1)
Current growth rate: w
Ultimate Large Number Notation
Moderators: jestingrabbit, Moderators General, Prelates

 Posts: 5
 Joined: Sat Aug 18, 2018 3:45 pm UTC
Ultimate Large Number Notation
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
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
§(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

 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,b1,c),c1)
x(a,1,b) = a
x(a,b,c) = x(a,x(a,b1,c),c1)
mom fapathi

 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
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Re: Ultimate Large Number Notation
#x = 2*3*5*7*11*13*17... largest prime < x
##x = #(#x^#x)
###x = #(##x^##x)
#####109
##x = #(#x^#x)
###x = #(##x^##x)
#####109
good luck have fun
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