flat assembler
Message board for the users of flat assembler.

flat assembler > Heap > What is the best pie you can get with 9 digits?

Goto page Previous  1, 2, 3, ... 27, 28, 29  Next
Author
Thread Post new topic Reply to topic
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
DOS386 wrote:
ro90("8")
What is that?

Oh, do you mean rotate "8" 90 degrees?
Post 06 Mar 2008, 06:33
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
revolution wrote:
But it doesn't matter really, because, so far, no one has come even close to putting a REALLY big number.

OK, going further. Wink

BB(BB(9))

(BB^9)(9)

I use BB to denote the busy beaver function, though there are various notations - here we really may get a notation problem.
Post 06 Mar 2008, 06:41
View user's profile Send private message Visit poster's website Reply with quote
DOS386



Joined: 08 Dec 2006
Posts: 1904
> Oh, do you mean rotate "8" 90 degrees?

YES.
Post 06 Mar 2008, 06:47
View user's profile Send private message Reply with quote
bitRAKE



Joined: 21 Jul 2003
Posts: 2653
Location: dank orb
revolution wrote:
But it doesn't matter really, because, so far, no one has come even close to putting a REALLY big number.
When I first replied there was the thought that you had already composed a number of significant size, and this comment follows in that direction - as if thus far we have missed an operation.

_________________
utf8everywhere.org


Last edited by bitRAKE on 06 Mar 2008, 07:01; edited 1 time in total
Post 06 Mar 2008, 07:00
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
Tomasz Grysztar wrote:
BB(BB(9))
Accept, now we are getting close.

Tomasz Grysztar wrote:
(BB^9)(9)
Hmm, I need to think about that one. BB^9 is what - maybe BB(BB(BB(BB(BB(BB(BB(BB(BB(9)))))))))???
Post 06 Mar 2008, 07:00
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
revolution wrote:
Tomasz Grysztar wrote:
(BB^9)(9)
Hmm, I need to think about that one. BB^9 is what - maybe BB(BB(BB(BB(BB(BB(BB(BB(BB(9)))))))))???

Yes, (BB^9)(9)=BB(BB(BB(BB(BB(BB(BB(BB(BB(9))))))))).
Post 06 Mar 2008, 07:11
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
Tomasz Grysztar wrote:
revolution wrote:
Tomasz Grysztar wrote:
(BB^9)(9)
Hmm, I need to think about that one. BB^9 is what - maybe BB(BB(BB(BB(BB(BB(BB(BB(BB(9)))))))))???

Yes, (BB^9)(9)=BB(BB(BB(BB(BB(BB(BB(BB(BB(9))))))))).
I can't find any supporting evidence, all I have seen use a subscript notation for the iterated BB function. Kind of like this:

BB9(9)

But of course it can't be done in normal ASCII so like I have written would not be accepted.
Post 06 Mar 2008, 07:16
View user's profile Send private message Visit poster's website Reply with quote
MHajduk



Joined: 30 Mar 2006
Posts: 5977
Location: Poland
revolution wrote:
You are allowed a maximum of nine ASCII characters (0x20-0x7e) only, this includes spaces and brackets etc., to write a representation of a number.

All standard mathematical symbols and functions etc. are allowed.

So I will start the ball rolling with:

"9+9+9+9+9"

But I'm sure you can do better.
Nobody said that we have to think only about integer or real numbers. I want to use here cardinal number. Every number given before we can treat as a size of finite set of elements (if given number x is real we can obtain natural taking E(|x|), where |x| is absolute value of x, E(z) - entier from z, in other words [z] or int(z)), i.e. finite cardinal number.

Here is my proposition:
Image
Code:
Aleph-0    
i.e. size of set of natural numbers, which is greater from any finite cardinal number.

Aleph-0
Aleph number
Post 06 Mar 2008, 08:48
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
Aleph-9$$
Very Happy

However it could be a little more interesting it you chose to go into ordinal numbers instead of cardinal numbers. Wink


Last edited by Tomasz Grysztar on 06 Mar 2008, 08:55; edited 2 times in total
Post 06 Mar 2008, 08:53
View user's profile Send private message Visit poster's website Reply with quote
MHajduk



Joined: 30 Mar 2006
Posts: 5977
Location: Poland
I supposed that you write something like that... Laughing
Post 06 Mar 2008, 08:55
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
MHajduk wrote:
Aleph-0
Accept, getting warmer.
Post 06 Mar 2008, 09:04
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
Tomasz Grysztar wrote:
Aleph-9$$
Accept.

Can anybody do better?
Post 06 Mar 2008, 09:07
View user's profile Send private message Visit poster's website Reply with quote
edfed



Joined: 20 Feb 2006
Posts: 4160
Location: 2018
oo^oo^1/0
Post 06 Mar 2008, 09:28
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
edfed wrote:
oo^oo^1/0
Reject, I think you know why.
Post 06 Mar 2008, 09:48
View user's profile Send private message Visit poster's website Reply with quote
MHajduk



Joined: 30 Mar 2006
Posts: 5977
Location: Poland
revolution wrote:
Tomasz Grysztar wrote:
Aleph-9$$
Accept.

Can anybody do better?
Hehe, of course we can... Very Happy Because we can use non-decimal numeral systems then we can use our beloved Wink hexadecimal system and write
Code:
Aleph-F$$    
which is greater than Aleph-9$$ (9 < F=15).

Some programmers even go far and extend this notation to numeral system with base 36 (digits 0, 1, ..., 9 and all English letters A, B, ..., Z). Then in such system we can write
Code:
Aleph-Z$$    
Very Happy
Post 06 Mar 2008, 09:49
View user's profile Send private message Visit poster's website Reply with quote
revolution
When all else fails, read the source


Joined: 24 Aug 2004
Posts: 15972
Location: Qo'noS
MHajduk wrote:
... we can use non-decimal numeral systems then we can use our beloved Wink hexadecimal system and write
Code:
Aleph-F$$    
which is greater than Aleph-9$$ (9 < F=15).
I hadn't thought of that, but looks like fun so I accept.
MHajduk wrote:
Some programmers even go far and extend this notation to numeral system with base 36 (digits 0, 1, ..., 9 and all English letters A, B, ..., Z). Then in such system we can write
Code:
Aleph-Z$$    
Very Happy
Okay, why not, I accept base 36.

Can anyone do any better? We're still not there yet.
Post 06 Mar 2008, 10:10
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
The next step is aleph_w Smile

It really should be written like this:
Image
but I've found the "aleph_w" writing quite usual in emails etc.
Post 06 Mar 2008, 10:12
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
And kudos to anyone who is able to describe some totally indescribable cardinal in the 9 characters. Wink Very Happy
Post 06 Mar 2008, 10:14
View user's profile Send private message Visit poster's website Reply with quote
MHajduk



Joined: 30 Mar 2006
Posts: 5977
Location: Poland
Tomasz Grysztar wrote:
The next step is aleph_w Smile

It really should be written like this:
Image
but I've found the "aleph_w" writing quite usual in emails etc.
You mean "aleph-omega" of course. Smile
Post 06 Mar 2008, 10:29
View user's profile Send private message Visit poster's website Reply with quote
Tomasz Grysztar
Assembly Artist


Joined: 16 Jun 2003
Posts: 6927
Location: Kraków, Poland
The other name, right. :>
Post 06 Mar 2008, 10:40
View user's profile Send private message Visit poster's website Reply with quote
Display posts from previous:
Post new topic Reply to topic

Jump to:  
Goto page Previous  1, 2, 3, ... 27, 28, 29  Next

< Last Thread | Next Thread >
Forum Rules:
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
You can attach files in this forum
You can download files in this forum


Copyright © 1999-2018, Tomasz Grysztar.

Powered by rwasa.