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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#331 2012-04-13 10:01:59
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#337 2012-04-13 10:44:22
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#338 2012-04-13 10:58:34
- bobbym
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Re: Series
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#339 2012-04-13 11:10:38
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#340 2012-04-13 11:13:04
- bobbym
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Re: Series
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#341 2012-04-13 11:16:14
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#342 2012-04-13 11:19:57
- bobbym
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Re: Series
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#343 2012-04-13 11:36:19
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#345 2012-04-13 11:45:51
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#347 2012-04-13 15:50:23
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#348 2012-04-13 16:01:53
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#349 2012-04-13 16:12:34
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#350 2012-04-13 16:15:51
- anonimnystefy
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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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón