Ultimate Large Number Notation

For all your silly time-killing forum games.

Moderators: jestingrabbit, Moderators General, Prelates

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

Ultimate Large Number Notation

Postby ubersketch » Wed Jun 12, 2019 12:06 am UTC

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.

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

Re: Ultimate Large Number Notation

Postby lllllllllwith10ls » Wed Jun 12, 2019 12:12 am UTC

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

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

Re: Ultimate Large Number Notation

Postby solune » Wed Jun 12, 2019 12:16 pm UTC

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

Postby ubersketch » Wed Jun 12, 2019 5:04 pm UTC

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.

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

Re: Ultimate Large Number Notation

Postby lllllllllwith10ls » Wed Jun 12, 2019 7:34 pm UTC

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

Postby ubersketch » Fri Jun 14, 2019 4:43 pm UTC

On growth rate w (omega) already.

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

Re: Ultimate Large Number Notation

Postby phillip1882 » Wed Jun 19, 2019 5:35 pm UTC

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


Return to “Forum Games”

Who is online

Users browsing this forum: No registered users and 32 guests