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#226 2012-05-04 04:34:58
- bobbym
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Re: Generating Functions
That is why it should not be. They count permutations.
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.
#227 2012-05-04 04:48:39
- anonimnystefy
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Re: Generating Functions
Wait until later this evening or tomorrow,and we will discuss this properly.
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
#228 2012-05-04 04:50:08
- bobbym
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Re: Generating Functions
Now you are talking turkey. Armed with your CAS you will be 100 times stronger.
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.
#229 2012-05-04 04:53:12
- anonimnystefy
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Re: Generating Functions
Of course! I think I am starting to like Maxima.
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
#230 2012-05-04 05:58:08
- anonimnystefy
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Re: Generating Functions
Hi bobbym
I got 887/55986
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
#231 2012-05-04 06:03:10
- bobbym
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Re: Generating Functions
I am not getting that.
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.
#232 2012-05-04 06:05:18
- anonimnystefy
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Re: Generating Functions
What do you get?
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
#233 2012-05-04 06:06:16
- bobbym
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Re: Generating Functions
First put an x = 1 into your expanded answer what do you get?
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.
#234 2012-05-04 06:08:34
- anonimnystefy
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Re: Generating Functions
55986
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
#235 2012-05-04 06:13:25
- bobbym
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Re: Generating Functions
Hmmm. Since that is a probability gf and each x powers coefficient is a probability. When you put x = 1 you are summing the gf. Since that is all the possibilities what should that sum be?
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.
#236 2012-05-04 06:15:05
- anonimnystefy
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Re: Generating Functions
Hi bobbym
I didn't make a probability counting GF,but a possibility counting one.
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
#237 2012-05-04 06:16:26
- bobbym
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Re: Generating Functions
Not a good idea because you will not be able to turn that into a probability.
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.
#238 2012-05-04 06:17:35
- anonimnystefy
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Re: Generating Functions
But when I put x=1 I get all the possibilities amd the coeff of x**17 gives me the favorable cases.
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
#239 2012-05-04 06:22:42
- bobbym
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Re: Generating Functions
Maybe it does but what is a probability?
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.
#240 2012-05-04 06:23:36
- anonimnystefy
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Re: Generating Functions
P=favorable/all possible.
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
#241 2012-05-04 06:28:33
- bobbym
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Re: Generating Functions
It is a ratio. It is a fraction. Now I ask you what do you put on the bottom of your number to get that ratio?
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.
#242 2012-05-04 06:29:33
- anonimnystefy
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Re: Generating Functions
All possible outcomes?
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
#243 2012-05-04 06:30:48
- bobbym
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Re: Generating Functions
55986 / All possible outcomes
I put that into M and he just spit it out.
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.
#244 2012-05-04 06:31:52
- anonimnystefy
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Re: Generating Functions
That is the number I got too for the possible outcomes.
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
#245 2012-05-04 06:34:34
- bobbym
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Re: Generating Functions
How did you compute this?
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.
#246 2012-05-04 06:36:55
- anonimnystefy
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Re: Generating Functions
No,I got the number 55986 to be down.
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
#247 2012-05-04 06:39:14
- bobbym
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Re: Generating Functions
Then what is on top?
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.
#248 2012-05-04 06:42:32
- anonimnystefy
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Re: Generating Functions
887.
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
#249 2012-05-04 06:45:48
- bobbym
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Re: Generating Functions
That is not correct.
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.
#250 2012-05-04 06:48:30
- anonimnystefy
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Re: Generating Functions
Sorry,it's 3743.
Last edited by anonimnystefy (2012-05-04 06:49:10)
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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón