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#201 2012-02-21 04:41:52

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Hi,

But the Cassini's identity is

Making use of this may be difficult here.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#202 2012-02-21 05:13:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Hi anonimnystefy;

gAr is right. I did not get around to helping you with yours but that identity you chose is not true.


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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#203 2012-02-21 05:23:26

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,847

Re: Series

hi guys

i don't know how i got to it then.


“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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#204 2012-02-21 06:00:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Hi anonimnystefy;

That is okay. As long as you saw the method we used.


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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#205 2012-02-21 07:24:13

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,847

Re: Series

hi bobbym

if i'm not mistaken this kind of computing is called telescoping.


“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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#206 2012-02-21 07:38:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Yes, that is correct. The whole idea has been expanded into what has been called "Creative Telescoping."


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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#207 2012-02-21 08:43:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,847

Re: Series

nice.i would just like the rest of the sums to be solved so that gAr could give out some slightly easier sums.not too easy.just slightly easier.


“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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#208 2012-02-21 10:11:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Hi anonimnystefy;

Slightly easier sums?

Hi gAr;


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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#209 2012-02-21 22:39:53

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Hi anonimnystefy,

We feel the problem's easy after we solve it!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#210 2012-02-21 22:46:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Hi gAr;


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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#211 2012-02-21 22:49:47

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Hi bobbym,

Okay!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#212 2012-02-21 22:51:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Did you publish what you wanted?


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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#213 2012-02-21 23:00:34

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Yes.
Also submitted a few generating functions...


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#214 2012-02-21 23:01:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Very good! Can I see?


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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#215 2012-02-21 23:09:53

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Yeah, sure! You want the link?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#216 2012-02-21 23:12:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Yes, then you can delete it for privacy.


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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#217 2012-02-21 23:19:55

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Okay.

[link deleted by moderator for privacy]

You may edit the link yourself after you read.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#218 2012-02-21 23:24:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Congratulations and many more!


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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#219 2012-02-21 23:27:55

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Thanks!
Other g.f's I submitted were relatively easy ones.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#220 2012-02-21 23:33:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

I will look for them.


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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#221 2012-02-21 23:36:28

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

I hope to find some more in the future.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#222 2012-02-21 23:37:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

I found them. Of course you will.


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.

Offline

#223 2012-02-21 23:44:57

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

But not for now, again a bit busy!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#224 2012-02-21 23:47:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,748

Re: Series

Schoolwork?


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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#225 2012-02-21 23:48:20

gAr
Member
Registered: 2011-01-09
Posts: 3,462

Re: Series

Yes.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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