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#226 2012-05-04 04:34:58

bobbym

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#227 2012-05-04 04:48:39

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#229 2012-05-04 04:53:12

anonimnystefy
Real Member

Online

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
Real Member

Online

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

Online

Re: Generating Functions

I am not getting that.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#232 2012-05-04 06:05:18

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#234 2012-05-04 06:08:34

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#236 2012-05-04 06:15:05

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#238 2012-05-04 06:17:35

anonimnystefy
Real Member

Online

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

Online

Re: Generating Functions

Maybe it does but what is a probability?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#240 2012-05-04 06:23:36

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#242 2012-05-04 06:29:33

anonimnystefy
Real Member

Online

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

Online

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.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#244 2012-05-04 06:31:52

anonimnystefy
Real Member

Online

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

Online

Re: Generating Functions

How did you compute this?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#246 2012-05-04 06:36:55

anonimnystefy
Real Member

Online

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

Online

Re: Generating Functions

Then what is on top?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#248 2012-05-04 06:42:32

anonimnystefy
Real Member

Online

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

Online

Re: Generating Functions

That is not correct.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

#250 2012-05-04 06:48:30

anonimnystefy
Real Member

Online

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