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4 Sep 2024 03:19:29 EDT (-0400)
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From: scott
Subject: Re: Be afraid
Date: 12 Aug 2010 04:29:57
Message: <4c63b105$1@news.povray.org>
> I'm still trying to figure out whether there exists a geometric way to 
> construct logarithms...

Move your pen along at a speed inversely proportional to the distance from 
where you started for X seconds.  Or something like that :-)


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From: John VanSickle
Subject: Re: Be afraid
Date: 22 Aug 2010 14:38:24
Message: <4c716ea0$1@news.povray.org>
On 8/10/2010 6:32 PM, andrel wrote:
> On 10-8-2010 17:31, Darren New wrote:
>> clipka wrote:
>>> Yeah, sure. I recite that daily from memory before I go to sleep...
>>
>> This would be a better use of your time:
>>
>> http://en.wikipedia.org/wiki/Feynman_point
>>
> Kate does 116 if I have counted correctly:
> http://www.youtube.com/watch?v=kZSHr5E7fZY

How many digits of pi do you need before your calculation of the volume 
of the universe is off by no more than the average volume of a water 
molecule?

Regards,
John


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From: andrel
Subject: Re: Be afraid
Date: 22 Aug 2010 16:01:31
Message: <4C718228.2000502@gmail.com>
On 22-8-2010 20:38, John VanSickle wrote:
> On 8/10/2010 6:32 PM, andrel wrote:
>> On 10-8-2010 17:31, Darren New wrote:
>>> clipka wrote:
>>>> Yeah, sure. I recite that daily from memory before I go to sleep...
>>>
>>> This would be a better use of your time:
>>>
>>> http://en.wikipedia.org/wiki/Feynman_point
>>>
>> Kate does 116 if I have counted correctly:
>> http://www.youtube.com/watch?v=kZSHr5E7fZY
> 
> How many digits of pi do you need before your calculation of the volume 
> of the universe is off by no more than the average volume of a water 
> molecule?
> 
> Regards,
> John

one mol of water is 18 gram is 18 ml hence volume of one molecule of 
water is (18×10^-3 /(6.02214179×10^23))=
universe 3×10^80
therefore ratio of these volumes:
3×10^80/(18×10^-3 /(6.02214179×10^23))= 10^106

:(


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From: Orchid XP v8
Subject: Re: Be afraid
Date: 22 Aug 2010 16:03:34
Message: <4c718296$1@news.povray.org>
>> Kate does 116 if I have counted correctly:
>> http://www.youtube.com/watch?v=kZSHr5E7fZY
> 
> How many digits of pi do you need before your calculation of the volume 
> of the universe is off by no more than the average volume of a water 
> molecule?

50 digits allows you to compute the radius of the observable universe to 
within the diammeter of a hydrogen atom.

As for whole water molecules, and volumes rather than lengths, I can't 
say off the top of my head.

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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From: Le Forgeron
Subject: Re: Be afraid
Date: 23 Aug 2010 03:18:43
Message: <4c7220d3$1@news.povray.org>
Le 22/08/2010 22:01, andrel a écrit :
> On 22-8-2010 20:38, John VanSickle wrote:

>> How many digits of pi do you need before your calculation of the
>> volume of the universe is off by no more than the average volume of a
>> water molecule?
>>
>> Regards,
>> John
> 
> one mol of water is 18 gram is 18 ml hence volume of one molecule of
> water is (18×10^-3 /(6.02214179×10^23))=
> universe 3×10^80

How did you measure that ?
What's the speed of the expansion everyone is claiming to happen ?


> therefore ratio of these volumes:
> 3×10^80/(18×10^-3 /(6.02214179×10^23))= 10^106

So, we would be fine with integer of 353 bits, at least for volume
expressed in water molecule... what about an hydrogen atom instead ?

Could computer technology get past the wall of 384 bits for integer one
day ? (and what would they compute ?)

-- 
Real software engineers work from 9 to 5, because that is<br/>
the way the job is described in the formal spec.  Working<br/>
late would feel like using an undocumented external procedure.


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From: clipka
Subject: Re: Be afraid
Date: 23 Aug 2010 03:49:42
Message: <4c722816$1@news.povray.org>
Am 23.08.2010 09:18, schrieb Le_Forgeron:

> Could computer technology get past the wall of 384 bits for integer one
> day ?

Computer technology already does that. Typically not in hardware, but in 
software it's state of the art.

> (and what would they compute ?)

Cryptographic stuff for instance. Current encryption and digital 
signature technology typically require integer computations with 1024 
bits or more.

It's not really difficult to implement, actually. All you need to do is 
think of a processor's "native" integer types as digits. For instance, 
on an 8-bit processor you'd perform your computations in base 256.


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From: andrel
Subject: Re: Be afraid
Date: 23 Aug 2010 16:54:30
Message: <4C72E017.2070403@gmail.com>
On 23-8-2010 9:49, clipka wrote:
> Am 23.08.2010 09:18, schrieb Le_Forgeron:
> 
>> Could computer technology get past the wall of 384 bits for integer one
>> day ?
> 
> Computer technology already does that. Typically not in hardware, but in 
> software it's state of the art.

correction: it was state of the art 40 odd years ago.


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From: andrel
Subject: Re: Be afraid
Date: 23 Aug 2010 16:56:42
Message: <4C72E09B.3070607@gmail.com>
On 23-8-2010 9:18, Le_Forgeron wrote:
> Le 22/08/2010 22:01, andrel a écrit :
>> On 22-8-2010 20:38, John VanSickle wrote:
> 
>>> How many digits of pi do you need before your calculation of the
>>> volume of the universe is off by no more than the average volume of a
>>> water molecule?
>>>
>>> Regards,
>>> John
>> one mol of water is 18 gram is 18 ml hence volume of one molecule of
>> water is (18×10^-3 /(6.02214179×10^23))=
>> universe 3×10^80
> 
> How did you measure that ?

I didn't, but it is the value both wolfram and wikipedia give. I assume 
it is the best I can do for now.

> What's the speed of the expansion everyone is claiming to happen ?
> 
> 
>> therefore ratio of these volumes:
>> 3×10^80/(18×10^-3 /(6.02214179×10^23))= 10^106
> 
> So, we would be fine with integer of 353 bits, at least for volume
> expressed in water molecule... what about an hydrogen atom instead ?

That wasn't the question ;)


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From: Darren New
Subject: Re: Be afraid
Date: 23 Aug 2010 18:12:12
Message: <4c72f23c$1@news.povray.org>
andrel wrote:
> correction: it was state of the art 40 odd years ago.

"This machine is state of the art."

"But it doesn't work."

"Well, yes. That's the state of the art, I'm afraid."


-- 
Darren New, San Diego CA, USA (PST)
    Quoth the raven:
        Need S'Mores!


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