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#51 2012-04-30 06:53:02
- anonimnystefy
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Re: Generating Functions
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#52 2012-04-30 06:58:11
- bobbym
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Re: Generating Functions
Better but not right.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#53 2012-04-30 07:01:29
- anonimnystefy
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Re: Generating Functions
Oh,I think I get it. We divide by the factorial of the exponent because that is a case when we take "the exponent" number of that letter so we need to divide by "the exponent" factorial.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#54 2012-04-30 07:05:18
- bobbym
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Re: Generating Functions
Try this one then:
"Murmur", 5 letters.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#55 2012-04-30 07:08:35
- anonimnystefy
- Real Member
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Re: Generating Functions
Hi bobbym
The number of letters really doesn't matter when we are looking for a GF.
Last edited by anonimnystefy (2012-04-30 07:09:14)
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#56 2012-04-30 07:14:16
- bobbym
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Re: Generating Functions
Are you sure?
"MURMURING", create a generating function that counts all possible arrangements of n letters.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#57 2012-04-30 07:16:11
- anonimnystefy
- Real Member
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Re: Generating Functions
Hi bobbym
Last edited by anonimnystefy (2012-04-30 07:16:41)
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#58 2012-04-30 07:18:51
- bobbym
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Re: Generating Functions
That is very good!
Now how do we get the number of ways for 8 letters out of that?
Taking a break.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#59 2012-04-30 07:23:19
- anonimnystefy
- Real Member
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Re: Generating Functions
We take the coefficient with x^8.
Ok,see you later!
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#60 2012-04-30 08:51:37
- bobbym
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Re: Generating Functions
Which is what?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#61 2012-04-30 08:56:09
- anonimnystefy
- Real Member
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Re: Generating Functions
Me getz 9/8. I actually think that it maybe has to be multiplied by 8!
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#62 2012-04-30 08:59:45
- bobbym
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Re: Generating Functions
So what is your answer?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#63 2012-04-30 09:02:28
- anonimnystefy
- Real Member
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Re: Generating Functions
I am not sure if it is 9 or 9!/8 or neither. 
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#64 2012-04-30 09:05:28
- bobbym
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Re: Generating Functions
The coefficient of x^8 is then multiplied by 8!.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#65 2012-04-30 09:09:53
- anonimnystefy
- Real Member
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Re: Generating Functions
So 9!/8.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#66 2012-04-30 09:25:24
- bobbym
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Re: Generating Functions
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#67 2012-04-30 09:30:56
- anonimnystefy
- Real Member
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Re: Generating Functions
Well that is what I said,isn't 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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#68 2012-04-30 09:36:29
- bobbym
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Re: Generating Functions
Hi;
You gave a couple of answers. The closest had a maybe in it. You have to post your answer and stand by it.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#69 2012-04-30 09:46:22
- anonimnystefy
- Real Member
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Re: Generating Functions
anonimnystefy wrote:
So 9!/8.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#70 2012-04-30 09:47:38
- bobbym
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Re: Generating Functions
Check that again.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#71 2012-04-30 09:48:38
- anonimnystefy
- Real Member
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Re: Generating Functions
Why?
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#72 2012-04-30 09:49:25
- bobbym
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Re: Generating Functions
Hmmmm? Because it is incorrect.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#73 2012-04-30 09:56:39
- anonimnystefy
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Re: Generating Functions
It is absolutely the same as your answer in #66.
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#74 2012-04-30 14:40:28
- bobbym
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Re: Generating Functions
anonimnystefy wrote:
So 9!/8.
I thought you were saying that was the coefficient of x^8. Please be a bit more explanatory in your answers. That will prevent misunderstandings. Had you labelled that the final answer or the no of ways then it would have been clear to me.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#75 2012-04-30 14:51:41
- anonimnystefy
- Real Member
Online
Re: Generating Functions
Ok sorry. So it is 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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón