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## #201 2012-05-03 08:40:53

anonimnystefy
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### Re: Generating Functions

Wow,they totally missed it!

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

## #202 2012-05-03 08:42:33

bobbym

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### Re: Generating Functions

Missed what?

I will post another problem in 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.

## #203 2012-05-03 08:43:40

anonimnystefy
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### Re: Generating Functions

They missed your post.

I am looking forward to 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

## #204 2012-05-04 00:38:40

anonimnystefy
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### Re: Generating Functions

When can I expect 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

## #205 2012-05-04 02:42:44

bobbym

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### Re: Generating Functions

A game is played. You roll a red die and then roll as many green die as the number on the red die. What is the probability of the sum of the green die equalling 17?

Is this a generating function problem?

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.

## #206 2012-05-04 02:44:35

anonimnystefy
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### Re: Generating Functions

My first guess would be a no,but I will have to look at it a little.

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

## #207 2012-05-04 03:19:01

anonimnystefy
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### Re: Generating Functions

Maybe the coeff of x**17 in ((x+x**2+x**3+x**4+x**5+x**6)+ (x+x**2+x**3+x**4+x**5+x**6)**2+(x+x**2+x**3+x**4+x**5+x**6)**3+ (x+x**2+x**3+x**4+x**5+x**6)**4+(x+x**2+x**3+x**4+x**5+x**6)**5+ (x+x**2+x**3+x**4+x**5+x**6)**6)/6?

Last edited by anonimnystefy (2012-05-04 03:22:15)

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

## #208 2012-05-04 03:26:29

bobbym

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### Re: Generating Functions

That is almost correct except there is an error. Do you see it?

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.

## #209 2012-05-04 03:30:17

anonimnystefy
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### Re: Generating Functions

Oh,yeah,I wasn't really sure about that division by six. Thinking about it again it seems logical not to include it.

Last edited by anonimnystefy (2012-05-04 03:30:40)

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

## #210 2012-05-04 03:32:29

bobbym

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### Re: Generating Functions

Without that 6 down there we would have a combinatorics problem but this is a probability problem.

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.

## #211 2012-05-04 03:33:42

anonimnystefy
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### Re: Generating Functions

Well,I need to divide by what we get when we sub x=1.

Last edited by anonimnystefy (2012-05-04 03:34:09)

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

## #212 2012-05-04 03:36:18

bobbym

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### Re: Generating Functions

But as it stands with or without that 6 the answer is not correct.

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.

## #213 2012-05-04 03:37:18

anonimnystefy
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### Re: Generating Functions

Is the GF okay?

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

## #214 2012-05-04 03:38:28

bobbym

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### Re: Generating Functions

We have not even established the need for one but that one is not right.

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.

## #215 2012-05-04 03:40:05

anonimnystefy
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### Re: Generating Functions

Why is it not correct?

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

## #216 2012-05-04 03:42:14

bobbym

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### Re: Generating Functions

It needs some work done on it.

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.

## #217 2012-05-04 03:43:46

anonimnystefy
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### Re: Generating Functions

Anything besides mulirplying by a constant?

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

## #218 2012-05-04 03:45:16

bobbym

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### Re: Generating Functions

I would think that multiplying by any constant would not fix it. But that is another question.

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.

## #219 2012-05-04 03:47:41

anonimnystefy
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### Re: Generating Functions

Couod you tell me where the problem 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

## #220 2012-05-04 03:48:18

bobbym

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### Re: Generating Functions

Do you have access to a CAS right 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.

## #221 2012-05-04 03:50:11

anonimnystefy
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### Re: Generating Functions

Not right now. Phone.

Maybe I could try getting on my laptop,but that doesn't seem probable. At least not till 10.

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

## #222 2012-05-04 04:01:51

bobbym

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### Re: Generating Functions

Remember any answer is not any good unless it is arrived at in two different ways. Two different directions, then you have some certainty.

I know of a forum filled with olympiad hopefuls. They try to solve combinatoric problems. They post the wrong answer, why? Because they did not check it to see if it was possibly correct. Computers and combinatorics are married. When you use them together you will be more accurate than those who do not.

I think if you would have expanded that gf you would have seen that it can not be right. We would not be going back  and forth right now. In short, we would be going faster.

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.

## #223 2012-05-04 04:10:00

anonimnystefy
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### Re: Generating Functions

I just had an idea! Should those be EGFs instead of OGFs?

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

## #224 2012-05-04 04:10:53

bobbym

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### Re: Generating Functions

Does order count? Is 5 + 3 + 2 different than 3 + 5 + 2?

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.

## #225 2012-05-04 04:32:55

anonimnystefy
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### Re: Generating Functions

Nope. Isn't that why it should be an EGF?

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