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

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revolution
When all else fails, read the source


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revolution
asmhack wrote:
privalov what is the y for BB(x) ?? just courius.. Confused
BB(x) by itself is normally taken to mean for a two symbol Turing Machine, so y=2.
Post 06 Mar 2008, 18:54
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revolution
When all else fails, read the source


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revolution
Artlav wrote:
revolution wrote:
Alright, I may have misunderstood, but it seems you are trying to say that what ever number I can write there is always a larger number. Is that correct?
Yes, in quantification notation
n: ∀k n>k
means "Number n: for any number k n>k."
Okay, so the inverted A is not ASCII and of course it is not a specific number either. Not accept.
Post 06 Mar 2008, 18:56
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bitRAKE



Joined: 21 Jul 2003
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bitRAKE
epsilon-0

epsilon-Z$

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Post 06 Mar 2008, 19:01
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revolution
When all else fails, read the source


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revolution
bitRAKE wrote:
epsilon-0
epsilon-0 == Aleph-0
bitRAKE wrote:
epsilon-Z$
10 Characters!
Post 06 Mar 2008, 19:07
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bitRAKE



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bitRAKE
revolution wrote:
bitRAKE wrote:
epsilon-0
epsilon-0 == Aleph-0
How so?

epsilon-Z, then

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Post 06 Mar 2008, 19:11
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revolution
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revolution
bitRAKE wrote:
revolution wrote:
bitRAKE wrote:
epsilon-0
epsilon-0 == Aleph-0
How so?
http://en.wikipedia.org/wiki/Ordinal_number#Initial_ordinal_of_a_cardinal
Post 06 Mar 2008, 19:14
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revolution
When all else fails, read the source


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revolution
bitRAKE wrote:
epsilon-Z
Accept.

New list:
Code:
Purely mathematical:
5.    epsilon-Z       bitRAKE
4.   Aleph-9$$       Tomasz Grysztar
3.   Aleph-F$$       MHajduk
2.   Aleph-Z$$       MHajduk
1.   Beth-Z$$$       bitRAKE    
Post 06 Mar 2008, 19:16
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Tomasz Grysztar



Joined: 16 Jun 2003
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Tomasz Grysztar
asmhack wrote:
it is just set of numbers..
how a number can include other numbers.. ?

When you use the set theory to define numbers, even the natural numbers are the sets where each number contains all the numbers that are smaller than it.

The definition goes this way:
0={} (empty set)
1={0}={{}}
2={0,1}={{},{{}}}
3={0,1,2}=...
and so on.

The problem here is that revolution didn't say what kind of numbers are allowed.

And this is a more serious problem that you may think, because there are some kinds of numbers that are not comparable with natural number, have no linear order at all, etc.

For example if I chose to mention here some infinite 2-adic number, you wouldn't be able to tell whether this number is bigger or smaller than any of the already mentioned, because p-adic numbers have no such order structure that would allow that.

Even allowing both ordinal numbers and cardinal numbers here is already an abuse, because there are usually many ordinal numbers which have the same cardinality, but which are smaller or larger compared to each other.
Post 06 Mar 2008, 20:17
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r22



Joined: 27 Dec 2004
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r22
Code:
do{X+=9;}
    

I'm sure some compiler would accept that and initialize X as a variable for me.
Post 06 Mar 2008, 20:59
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tom tobias



Joined: 09 Sep 2003
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tom tobias
tomasz wrote:

revolution didn't say what kind of numbers are allowed.

revolution wrote:

1. Beth-Z$$$ bitRAKE

(2^c)!^c!
where "Beth two" i.e. second letter in hebrew alphabet, corresponds to 2^c
http://en.wikipedia.org/wiki/Beth_number
I foolishly assume that "c" here corresponds to the constant for the speed of light in a vacuum.
I have no idea why one employs hebrew characters for anything, but I would prefer any other culture's alphabet to appear on the FASM forum. I still have no idea why one confounds ascii characters with numeric representations.
Confused
Post 06 Mar 2008, 21:02
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r22



Joined: 27 Dec 2004
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r22
Code:
LEN(PI)
    


The length of an irrational number FTW and only 7 ascii characters.
Post 06 Mar 2008, 21:16
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edfed



Joined: 20 Feb 2006
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edfed
if you want the bigger number, the ultime, the enormous, the king...
it is 1/0
because 1 is only one, like one tomato, but it is ONE something.. it can be google, or 10^10000000000000000000000000, as you want and zero is the +0, the one defined by thegreybeast before. and then, it is the bigger irrational nuber of the world, of the creation, of the universe.

1/0 is more than infinite. Laughing
Post 06 Mar 2008, 23:02
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bitRAKE



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bitRAKE
tom tobias wrote:
I foolishly assume that "c" here corresponds to the constant for the speed of light in a vacuum.
it is http://en.wikipedia.org/wiki/Cardinality_of_the_continuum (not that I have a clue - much of this math is beyond my study)

w_1^CK

Maybe I should just jump to |w_Z^CK|$ as the superfactorial of the size of the Zth "smallest ordinal which cannot in any way be represented by a computable function". It's way short of infinity, lol.

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Post 06 Mar 2008, 23:38
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asmhack



Joined: 01 Feb 2008
Posts: 431
asmhack
Tomasz Grysztar wrote:
asmhack wrote:
it is just set of numbers..
how a number can include other numbers.. ?

When you use the set theory to define numbers, even the natural numbers are the sets where each number contains all the numbers that are smaller than it.

The definition goes this way:
0={} (empty set)
1={0}={{}}
2={0,1}={{},{{}}}
3={0,1,2}=...
and so on.


Confused

you can't just say that Image for example is a number..
it is just the set of natural numbers.. [1,2,3,...)
N* = [1,2,3,...) wrong
N* ∈ [1,2,3,...) correct
Post 07 Mar 2008, 01:03
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bitRAKE



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bitRAKE
Beth-Z$^Z

Z$^Beth-Z

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Post 07 Mar 2008, 01:11
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revolution
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revolution
Okay folks, you now have two of the three concepts needed and half of the third concept. And you have now 8/9 of the ASCII needed.

I have also made a new number for the new second part of the non-Aleph section. MUCH bigger than the current leader in that section.

All of the tries posted above do not make it into the top5. You all seem to be trying smaller numbers! Confused
Post 07 Mar 2008, 02:54
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r22



Joined: 27 Dec 2004
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r22
SUM[n>0]n

Summation of n for all values of n greater than 0.
Post 07 Mar 2008, 03:25
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revolution
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revolution
r22 wrote:
SUM[n>0]n
And the value would be ∞? I think sums of infinite sequences give infinite results, and ∞ is not a number.
Post 07 Mar 2008, 03:52
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revolution
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revolution
bitRAKE wrote:
Beth-Z$^Z
Oops, I missed this one earlier, a new number 5.
Post 07 Mar 2008, 03:53
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revolution
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revolution
edfed wrote:
1/0 is more than infinite.
You seem to have a fascination with undefined values. 1/0 is not defined, get over it.
Post 07 Mar 2008, 03:56
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