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#51 2011-08-01 19:00:53

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi bobbym,

Okay.
Yes, they are all awesome!


"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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#52 2011-08-02 00:02:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#53 2011-08-02 00:26:47

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi bobbym,


"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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#54 2011-08-02 00:32:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#55 2011-08-02 00:47:28

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi,

The integral which I made use of :

Last edited by gAr (2011-08-02 00:48:16)


"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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#56 2011-08-02 00:52:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;

What was your method?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#57 2011-08-02 00:54:18

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

I used only one variable.
From the partial fractions, I wrote the two series and added them.


"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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#58 2011-08-02 01:01:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;

How did you get that to work? Can I see your solution?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#59 2011-08-02 01:07:34

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi bobbym,

Like the one I solved here:http://www.mathisfunforum.com/viewtopic.php?id=12022


"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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#60 2011-08-02 01:17:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Oh yes, I remember your solution now. Do you know that was the first tough problem I worked on when I first joined. I was very tentative back then and when I solved that problem without Jane or mathsyperson finding an obvious error I began to gain confidence in the way I did things.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#61 2011-08-02 01:21:24

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Oh, I see.
Tough questions are fun!


"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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#62 2011-08-02 01:23:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Sometimes! The ones that you solve in a day or two are fun. But there are those that last for years. Nothing you try works, I have a number of those.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#63 2011-08-02 01:31:23

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Yes, that's true.

I forgot to add - tough questions which we can solve are fun!


"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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#64 2011-08-02 01:33:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

True!

Nothing is better than a problem that falls apart to a method only you know!

I am going to take a little break, see you then.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#65 2011-08-02 01:38:22

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Okay, see you later.


"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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#66 2011-08-04 02:08:43

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

6)

Find


"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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#67 2011-08-04 05:45:56

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

7)

Find


"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

#68 2011-08-04 17:20:29

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

8)


Find


"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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#69 2011-08-04 17:31:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;

Mamma Mia! I am still working on 6.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#70 2011-08-04 17:46:16

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi bobbym,

Okay, take your time.
I'll post the questions as I remember or encounter it, otherwise I may forget later!


"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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#71 2011-08-04 19:54:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Series

Hi gAr;

I know, I am just kidding. Somebody might see one they can do.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#72 2011-08-04 20:42:57

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi bobbym,

Okay.
Are you really working on 6?
I feel 6 and 8 are the easier ones, relatively.


"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

#73 2011-08-04 23:37:31

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

9)

Evaluate


"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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#74 2011-08-04 23:47:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Series

hi gAr

Last edited by anonimnystefy (2011-08-04 23:51:52)


“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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#75 2011-08-04 23:52:52

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Series

Hi anonimnystefy,


"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

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