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#26 2012-04-29 22:10:51

bobbym
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Re: Generating Functions

Yes, that is going to be a 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.
 

#27 2012-04-29 22:15:01

anonimnystefy
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Re: Generating Functions

Maybe we can use something like adjoint?


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
 

#28 2012-04-29 22:20:32

bobbym
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Re: Generating Functions

I forget that one every once in a while. Like a permanent but aren't they hard to compute?


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.
 

#29 2012-04-29 22:25:17

anonimnystefy
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Re: Generating Functions

Whoops that is not what I meant. I have a little problem with tachnical matrix terms.

Couldn't we just add another column at each iteration?


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
 

#30 2012-04-29 22:30:18

bobbym
Administrator

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Re: Generating Functions

It is getting too unwieldy. If we needed the 1000th level that matrix would be huge.


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.
 

#31 2012-04-29 22:32:25

anonimnystefy
Real Member

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Re: Generating Functions

Well there is no other way to represent it all.


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
 

#32 2012-04-30 05:27:05

bobbym
Administrator

Online

Re: Generating Functions

Not that I know of 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.
 

#33 2012-04-30 05:30:05

anonimnystefy
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Re: Generating Functions

I meant with a matrix.

Here's another topic:"Do you know any uses of exponental GFs in math problems? Show  example."


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
 

#34 2012-04-30 05:32:02

bobbym
Administrator

Online

Re: Generating Functions

Have you seen the problems gAr and I first worked on?


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.
 

#35 2012-04-30 05:34:25

anonimnystefy
Real Member

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Re: Generating Functions

No. I wasn't around at the time. Can you send me a link of one of those problems?


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
 

#36 2012-04-30 05:36:38

bobbym
Administrator

Online

Re: Generating Functions

How about you work on one I give you and see if you can solve 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.
 

#37 2012-04-30 05:40:36

anonimnystefy
Real Member

Offline

Re: Generating Functions

Sure! I love new problems!


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
 

#38 2012-04-30 05:53:38

bobbym
Administrator

Online

Re: Generating Functions

How many arrangements of 6 letters can be made from numismatics?


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.
 

#39 2012-04-30 05:55:11

anonimnystefy
Real Member

Offline

Re: Generating Functions

I presume you mean the word.


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
 

#40 2012-04-30 06:04:45

bobbym
Administrator

Online

Re: Generating Functions

Yes, they are always structured liked that. Numismatics how many arrangements of 6 letters?


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.
 

#41 2012-04-30 06:05:46

anonimnystefy
Real Member

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Re: Generating Functions

What do you mean by arrangement? Can I use double letters twice?


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
 

#42 2012-04-30 06:10:53

bobbym
Administrator

Online

Re: Generating Functions

Yes, only the amounts you have there. Here is a 6 letter word MMIISS


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.
 

#43 2012-04-30 06:11:24

anonimnystefy
Real Member

Offline

Re: Generating Functions

Is it 11!/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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
 

#44 2012-04-30 06:16:19

bobbym
Administrator

Online

Re: Generating Functions

No, that number is too big.


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.
 

#45 2012-04-30 06:22:54

anonimnystefy
Real Member

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Re: Generating Functions

This problem is harder than I originally thought.


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
 

#46 2012-04-30 06:24:22

bobbym
Administrator

Online

Re: Generating Functions

That is an easy one.


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.
 

#47 2012-04-30 06:26:56

anonimnystefy
Real Member

Offline

Re: Generating Functions

I don't know how to solve 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
 

#48 2012-04-30 06:33:39

bobbym
Administrator

Online

Re: Generating Functions


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.
 

#49 2012-04-30 06:40:18

anonimnystefy
Real Member

Offline

Re: Generating Functions

So that's the GF! I couldn't think of a way to get that.


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
 

#50 2012-04-30 06:41:23

bobbym
Administrator

Online

Re: Generating Functions

Then try another one! 8 letter words from Mississippi.


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.
 

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