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#26 2012-04-29 00:10:51

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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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#27 2012-04-29 00:15:01

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

Re: Generating Functions

Maybe we can use something like adjoint?


“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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#28 2012-04-29 00:20:32

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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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#29 2012-04-29 00:25:17

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

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?


“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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#30 2012-04-29 00:30:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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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#31 2012-04-29 00:32:25

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

Re: Generating Functions

Well there is no other way to represent it all.


“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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#32 2012-04-29 07:27:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

Re: Generating Functions

Not that I know of right now.


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

#33 2012-04-29 07:30:05

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

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."


“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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#34 2012-04-29 07:32:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

#35 2012-04-29 07:34:25

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

Re: Generating Functions

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


“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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#36 2012-04-29 07:36:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

#37 2012-04-29 07:40:36

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

Re: Generating Functions

Sure! I love new problems!


“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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#38 2012-04-29 07:53:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

#39 2012-04-29 07:55:11

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

Re: Generating Functions

I presume you mean the word.


“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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#40 2012-04-29 08:04:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

#41 2012-04-29 08:05:46

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

Re: Generating Functions

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


“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

Online

#42 2012-04-29 08:10:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

#43 2012-04-29 08:11:24

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

Re: Generating Functions

Is it 11!/8 ?


“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

Online

#44 2012-04-29 08:16:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

Re: Generating Functions

No, that number is too big.


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

#45 2012-04-29 08:22:54

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

Re: Generating Functions

This problem is harder than I originally thought.


“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

Online

#46 2012-04-29 08:24:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

Re: Generating Functions

That is an easy one.


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

#47 2012-04-29 08:26:56

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

Re: Generating Functions

I don't know how to solve it.


“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

Online

#48 2012-04-29 08:33:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

Re: Generating Functions


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

#49 2012-04-29 08:40:18

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

Re: Generating Functions

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


“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

Online

#50 2012-04-29 08:41:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,736

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 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

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