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#226 2012-05-03 06:34:58

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#227 2012-05-03 06:48:39

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Wait until later this evening or tomorrow,and we will discuss this properly.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#228 2012-05-03 06:50:08

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#229 2012-05-03 06:53:12

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Of course! I think I am starting to like Maxima.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#230 2012-05-03 07:58:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Hi bobbym

I got 887/55986


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#231 2012-05-03 08:03:10

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

I am not getting that.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#232 2012-05-03 08:05:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

What do you get?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#233 2012-05-03 08:06:16

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#234 2012-05-03 08:08:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

55986


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#235 2012-05-03 08:13:25

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#236 2012-05-03 08:15:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Hi bobbym

I didn't make a probability counting GF,but a possibility counting one.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#237 2012-05-03 08:16:26

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#238 2012-05-03 08:17:35

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#239 2012-05-03 08:22:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Maybe it does but what is a probability?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#240 2012-05-03 08:23:36

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

P=favorable/all possible.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#241 2012-05-03 08:28:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#242 2012-05-03 08:29:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

All possible outcomes?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#243 2012-05-03 08:30:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#244 2012-05-03 08:31:52

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

That is the number I got too for the possible outcomes.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#245 2012-05-03 08:34:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

How did you compute this?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#246 2012-05-03 08:36:55

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

No,I got the number 55986 to be down.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#247 2012-05-03 08:39:14

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Then what is on top?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#248 2012-05-03 08:42:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

887.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#249 2012-05-03 08:45:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

That is not correct.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#250 2012-05-03 08:48:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Sorry,it's 3743.

Last edited by anonimnystefy (2012-05-03 08:49:10)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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