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#376 2011-03-24 03:37:51

bobbym
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Re: Is this cool with you?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#377 2011-03-24 04:01:14

gAr
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Re: Is this cool with you?

Hi bobbym,

Thank you!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#378 2011-03-24 04:03:49

bobbym
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Re: Is this cool with you?

Hi gAr;

Do not mention it. I will have a much tougher one for you after you rest. Maybe we will have some math to discuss afterwards.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#379 2011-03-24 04:10:06

gAr
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Re: Is this cool with you?

Ok, I'll be online for about 45 minutes more, then it's my EOD.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#380 2011-03-24 04:16:13

bobbym
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Re: Is this cool with you?

That means you are ready? I can hold it till your tomorrow or I can start posting it now...


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#381 2011-03-24 04:20:22

gAr
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Re: Is this cool with you?

Yes, I'm always ready!
But we'll discuss it (my)tomorrow, Sometimes dreams help!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#382 2011-03-24 04:25:54

bobbym
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Re: Is this cool with you?

New Problem!

Can you find any solution of:



with a,b,c,d all positive and different and all integers.

A says) Yes, I can and without a computer again!
B says) My method is better because it only uses algebra.
C says) I did not get any answers in integers. I do not think there is one.
D says) You are right C there are no solutions. Imagine we are right and the two geniuses are wrong!

Can you find an answer? Can you find A or B's idea for full credit?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#383 2011-03-24 04:30:52

gAr
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Re: Is this cool with you?

Ah, I was thinking about the possibility when you posted the question.
I'll try again anyway.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#384 2011-03-24 04:32:24

bobbym
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Re: Is this cool with you?

This one will require a trick or two. Do not worry until yesterday I did not know how.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#385 2011-03-24 04:40:16

gAr
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Re: Is this cool with you?

Ok, I'll see where I can reach.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#386 2011-03-24 04:57:04

gAr
Star Member

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Re: Is this cool with you?

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#387 2011-03-24 05:01:57

bobbym
Administrator

Offline

Re: Is this cool with you?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#388 2011-03-24 05:07:33

gAr
Star Member

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Re: Is this cool with you?

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#389 2011-03-24 05:16:03

bobbym
Administrator

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Re: Is this cool with you?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#390 2011-03-24 05:24:31

gAr
Star Member

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Re: Is this cool with you?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#391 2011-03-24 05:29:07

bobbym
Administrator

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Re: Is this cool with you?

Hi gAr;

That is essentially what I did, have a good nights rest. See you later.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#392 2011-03-25 23:22:10

bobbym
Administrator

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Re: Is this cool with you?

New Problem!

This one actually came up in conversation. My brother overheard this one at the University. Is 3,4,5 the only positive pythagorean triplet of consecutive integers?

A says) I have marvelous proof of that but the internet is too small to contain it. It starts like this Let G be a metric and let g be the group of all possible metrics, so we

B says) Hold on A.



C says) Mine is shorter but it only works for n < 8.

D says) I have a shorter proof.

A says) I do not think so and by the way, B's proof is garbage.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#393 2011-03-25 23:58:50

gAr
Star Member

Offline

Re: Is this cool with you?

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#394 2011-03-26 00:04:41

bobbym
Administrator

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Re: Is this cool with you?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#395 2011-03-27 01:54:21

bobbym
Administrator

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Re: Is this cool with you?

New problem.

A list of numbers of length 3n is divided into 3 lists of length n. What is the probability that the 3 largest numbers are spread out as 1 in each list?

A says) I got it!
B says) Me too!
C says) Hold it, I need more time...
D says) It is (n / 3) of course.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#396 2011-03-27 14:21:04

gAr
Star Member

Offline

Re: Is this cool with you?

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#397 2011-03-27 15:57:54

bobbym
Administrator

Offline

Re: Is this cool with you?

Hi gAr;

How are you doing today?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#398 2011-03-27 16:20:16

gAr
Star Member

Offline

Re: Is this cool with you?

Hi bobbym,

I am fine.
How are you?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

#399 2011-03-27 16:23:52

bobbym
Administrator

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Re: Is this cool with you?

I am okay, thanks.

What do you get when n = 9? I am getting 81 / 325.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#400 2011-03-27 16:37:00

gAr
Star Member

Offline

Re: Is this cool with you?

I too get 81/325 for n=9.
And I get the limiting probabiity 2/9


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
 

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