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#326 2012-04-13 09:17:42

bobbym
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Re: Series


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.
 

#327 2012-04-13 09:20:13

anonimnystefy
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Re: Series

Why?


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
 

#328 2012-04-13 09:27:06

bobbym
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Re: Series

The interior sum is in terms of k and so is its sum. Shouldn't the integration be in terms of k? So we are looking at dk maybe?


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.
 

#329 2012-04-13 09:30:03

anonimnystefy
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Re: Series

Well,when we made the substitution,we had a sum in terms of x.


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
 

#330 2012-04-13 09:58:32

bobbym
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Re: Series

But the sum is counting in k so...


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.
 

#331 2012-04-13 10:01:59

anonimnystefy
Real Member

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Re: Series

But x is a function of k,so there is still no problem with it. It is like saying that in a sum we have a zeta function of the counting variable we should change the counting variable to zeta.


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
 

#332 2012-04-13 10:13:21

bobbym
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Re: Series


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.
 

#333 2012-04-13 10:16:10

anonimnystefy
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Re: Series

There you go.


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
 

#334 2012-04-13 10:21:45

bobbym
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Re: Series


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.
 

#335 2012-04-13 10:25:27

anonimnystefy
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Re: Series

Didn'tI already submit it?

And why would I leave out everything after step 5?


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
 

#336 2012-04-13 10:37:24

bobbym
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Re: Series

Hi;

If it were to my professor or some other bloated topologist I would include everything and even throw in a couple of conjectures by Tarski.

But because this is to gAr who understands a CAS he would see that step 5 is easy with a CAS and even can be done by hand.


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.
 

#337 2012-04-13 10:44:22

anonimnystefy
Real Member

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Re: Series

Remind me again which is the step 5.

And what's the point of leaving it out?


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
 

#338 2012-04-13 10:58:34

bobbym
Administrator

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Re: Series


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.
 

#339 2012-04-13 11:10:38

anonimnystefy
Real Member

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Re: Series


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
 

#340 2012-04-13 11:13:04

bobbym
Administrator

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Re: Series


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.
 

#341 2012-04-13 11:16:14

anonimnystefy
Real Member

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Re: Series


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
 

#342 2012-04-13 11:19:57

bobbym
Administrator

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Re: Series


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.
 

#343 2012-04-13 11:36:19

anonimnystefy
Real Member

Offline

Re: Series


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
 

#344 2012-04-13 11:43:25

bobbym
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Re: Series

Hi anonimnystefy;


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.
 

#345 2012-04-13 11:45:51

anonimnystefy
Real Member

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Re: Series

I will keep it for the sake of completeness.


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
 

#346 2012-04-13 12:11:36

anonimnystefy
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Re: Series

Hi bobbym

Do you know how to do #4. I need a hint. I tried the differentiate and integrate method,but it doesn't give any results so far.


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
 

#347 2012-04-13 15:50:23

bobbym
Administrator

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Re: Series

Hi;

I do not think I solved that so I do not have any idea.


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.
 

#348 2012-04-13 16:01:53

anonimnystefy
Real Member

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Re: Series

Okay. Tell me if you get anything.


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
 

#349 2012-04-13 16:12:34

bobbym
Administrator

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Re: Series

Don't you have to solve them by yourself?


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.
 

#350 2012-04-13 16:15:51

anonimnystefy
Real Member

Offline

Re: Series

Yes,but I need a hint!


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
 

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