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#76 2012-03-05 01:14:05

bobbym
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Re: Bafflers?

You were there when I answered John Franklin's question. It was so easy he picked up on it right away. Do you need more than that?


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.
 

#77 2012-03-05 01:24:49

anonimnystefy
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Re: Bafflers?

Ok, I get that one, but look at this problem;

You have ten pigeons and you have to arrange them into three cages so that in every cage the is at least 1 pigeon.You can assume the pigeons to be all the same.the same goes for the cages.In how many ways can you arrange the pigeons into cages under the given conditions?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#78 2012-03-05 01:33:05

bobbym
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Re: Bafflers?

Hi;

There are 36 ways.


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.
 

#79 2012-03-05 01:35:20

anonimnystefy
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Re: Bafflers?

How did you get that?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#80 2012-03-05 01:38:49

bobbym
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Re: Bafflers?

You are trying to solve the diophantine equation

a+b+c=10 with 0<a,b,c<11


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.
 

#81 2012-03-05 01:42:13

anonimnystefy
Real Member

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Re: Bafflers?

That's pretty much it.But how do you arrive at the answer with GF's?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#82 2012-03-05 01:46:08

bobbym
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Re: Bafflers?



Now check the coefficient of x^10.


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.
 

#83 2012-03-05 02:04:52

anonimnystefy
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Re: Bafflers?

But what about the condition that there of at least one pigeon on each cage?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#84 2012-03-05 02:06:20

bobbym
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Re: Bafflers?

Hi;

Took a while to edit post #82. The polynomial takes that into account automatically.


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.
 

#85 2012-03-05 02:11:47

anonimnystefy
Real Member

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Re: Bafflers?

So we just take out the 1.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#86 2012-03-05 02:14:38

bobbym
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Re: Bafflers?

Yes. The 1 represents x^0. There is no 0 choice because there must be at least one pigeon per box.


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.
 

#87 2012-03-05 19:42:19

anonimnystefy
Real Member

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Re: Bafflers?

Hi bobbym

Then I'm clear on that part.Just have one question.For the x^10 we use asymptotic analysis on the forum right? But, when I do these problems when I'm not allowed to use Wolfram and that stuff, how do I then get the Laurent series?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#88 2012-03-05 22:07:57

bobbym
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Re: Bafflers?

You do not need a Laurent series here. There are ways that help you get the coefficients we need. But they are rather limited. There are limits to what can be done by hand.


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.
 

#89 2012-03-05 22:50:45

anonimnystefy
Real Member

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Re: Bafflers?

And what's that way? And what if I wanted the answer in binomial form?

Btw, do you know what Eurovision is?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#90 2012-03-05 22:57:27

bobbym
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Re: Bafflers?

Hi;

The other method would be to use series methods on



it does not look very promising though.

I have not heard of Eurovision.


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.
 

#91 2012-03-05 23:10:40

anonimnystefy
Real Member

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Re: Bafflers?

Ok, but if I wanted it in the binomial form?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#92 2012-03-05 23:12:32

bobbym
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Re: Bafflers?

Then you would have to solve the diophantine equation using the formula.


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.
 

#93 2012-03-05 23:23:34

anonimnystefy
Real Member

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Re: Bafflers?

But is there a way to get it directly out of the GF?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#94 2012-03-05 23:25:37

bobbym
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Re: Bafflers?

In this case you could play spot the pattern with the generating function. Other methods do not look promising.


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.
 

#95 2012-03-05 23:36:20

anonimnystefy
Real Member

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Re: Bafflers?

Ok, then.When can we expect more problems?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#96 2012-03-05 23:39:12

bobbym
Administrator

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Re: Bafflers?

As soon as I get back here.


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.
 

#97 2012-03-05 23:54:24

anonimnystefy
Real Member

Offline

Re: Bafflers?

Back where?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#98 2012-03-06 02:25:15

bobbym
Administrator

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Re: Bafflers?

Back in the forum. I have some work to do.


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.
 

#99 2012-03-06 06:17:03

anonimnystefy
Real Member

Offline

Re: Bafflers?

So where's the problem?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#100 2012-03-06 07:58:33

bobbym
Administrator

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Re: Bafflers?

Baffler #2

A ship is sailing on a course from the origin. It follows the path y= 3.14 x. It has a speed of 1 / 3 units per second. A submarine is located at (5,0). The sub knows the ship is oblivious to its existence. The sub would like to torpedo the warship. Torpedoes travel at 1 / 2 units per second and travel in straight lines. The sub commander's hobby is mathematics. He fires and sinks the ship! What is the equation of the torpedoes flight?

A says) Too easy, here is the answer!

B says) I am astounded, you got the right answer!

C says) A is my hero.

D says) Hip hip hooray!

E says) Even a blind squirrel finds an acorn now and then.

B says) How true.

Find that equation. If A got it then so should you!


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.
 

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