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## #151 2011-08-18 04:12:44

bob bundy
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### Re: Series

hi gAr and bobbym,

Sorry to butt in but I'm having real trouble understanding what I'm meant to be helping this OP to do.  Would you mind putting your brains to work, not to do the problem,  but just to help me understand what the problem is?

http://www.mathisfunforum.com/viewtopic.php?id=16175

Thanks guys,

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #152 2011-08-18 04:19:59

gAr
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### Re: Series

Hi bobbym,

Hi Bob,

Okay, will try.

"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."

## #153 2011-08-18 04:24:11

bobbym

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### Re: Series

Hi gAr;

That is the one I saw in the Berndt book. It is one of Ramanujans notebooks. I did not understand it so I could not use it. I will ask you more questions about it tomorrow.

Hi Bob;

He is asking too many questions at once. He moves to a different question before you can finish the last 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.

## #154 2011-08-18 04:27:07

gAr
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### Re: Series

Hi,

Okay, we'll discuss later.
See you.

"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."

## #155 2011-08-18 04:28:43

bob bundy
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### Re: Series

Thanks.   But I don't even know what the question is.  After 37 years of trying to work out what certain pupils were trying to say, I can usually see through the fog and get to the meat.  (Apologies for the mixed metaphore).  But this one has got me beat.

I'm not sure he is changing the question;  just re-phrasing it;  that's how confused I've got.

Anyway, any thoughts, however bizarre, greatfully received.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #156 2011-08-18 04:32:49

bobbym

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### Re: Series

I have found the toughest questioners are programmers. They are taught to think in code. That means they work by arbitrarily changing code as they go along. They try this and then they try that. Nothing wrong with that but math types will find that somewhat dizzying.

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.

## #157 2011-08-18 14:21:21

gAr
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### Re: Series

Hi bobbym,

Last edited by gAr (2011-08-18 15:07:55)

"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."

## #158 2011-08-18 14:35:51

bobbym

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### Re: Series

Hello gAr;

That is a nice one and I figured out this afternoon why my method got the wrong answer.

I have the notebooks but have only gone through the first one. Also the Berndt book on continued fractions and the Chrystal book on Algebra do not do the problem. Where did you find the solution?

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.

## #159 2011-08-18 14:58:47

gAr
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### Re: Series

Hi bobbym,

I think I did a sign mistake inside the summations, I'll rectify it.

The question in there wanted to prove

I couldn't understand how the sum was manipulated there, so tried to do it myself.

"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."

## #160 2011-08-18 20:25:54

bobbym

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### Re: Series

Hi gAr;

Okay, thanks for showing what you did. I enjoyed working on the 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.

## #161 2011-08-18 20:29:09

gAr
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### Re: Series

Hi,

You're welcome!

"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."

## #162 2011-08-19 00:25:32

gAr
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### Re: Series

17)

"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."

## #163 2011-08-19 02:19:08

gAr
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### Re: Series

18)

"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."

## #164 2011-08-19 15:22:25

gAr
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### Re: Series

19)

"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."

## #165 2011-08-20 19:38:58

gAr
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### Re: Series

20)

Problème des partis

Players A and B play a series of games.
The condition is that A wins if he wins 'a' games before B wins 'b' games.
The probability of A winning a game is 'p' and that of B is 'q' ( = 1 - p ).
What is the probability of A winning the series?

"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."

## #166 2011-08-20 20:03:18

bobbym

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### 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.

## #167 2011-08-20 20:17:44

gAr
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### Re: Series

"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."

## #168 2011-08-20 20:31:18

bobbym

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### 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.

## #169 2011-08-20 20:33:21

gAr
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### Re: Series

Hi,

Okay!
You're welcome.

"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."

## #170 2011-08-20 21:07:08

bobbym

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### 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.

## #171 2011-08-20 21:14:47

gAr
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### 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."

## #172 2011-08-20 21:30:36

bobbym

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### Re: Series

Hi gAr;

Thanks for the 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.

## #173 2011-08-20 21:40:48

gAr
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### Re: Series

Hi,

You're welcome!

"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."

## #174 2011-08-21 18:03:01

gAr
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### Re: Series

21)

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."

## #175 2011-09-16 07:13:17

anonimnystefy
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### Re: Series

anyone know how to do these?

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