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#126 2011-08-11 18:56:55
- gAr
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Re: Series
Hi bobbym,
Yes, it's from that page.
"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."
#127 2011-08-11 19:02:04
- bobbym
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Re: Series
Hi gAr;
Cool, I will copy it.
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.
#128 2011-08-11 19:05:23
- gAr
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Re: Series
I already have, with a dark ink!
I'm searching for more g.f's to experiment with.
"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."
#129 2011-08-11 19:06:28
- bobbym
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Re: Series
Hi;
I finished one but it wiil take time to write it up.
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.
#130 2011-08-11 19:11:10
- gAr
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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."
#131 2011-08-15 02:42:13
- gAr
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Re: Series
14)
First question submitted by Ramanujan to the journal of the indian mathematical society
"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."
#132 2011-08-15 03:43:32
- anonimnystefy
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Re: Series
hi gAr
is that log a natural logarithm or the common logarithm?
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
#133 2011-08-15 03:58:11
- gAr
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Re: Series
Hi,
It's a natural logarithm
"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."
#134 2011-08-16 23:54:05
- gAr
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Re: Series
15)
Last edited by gAr (2011-08-16 23:55:33)
"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."
#135 2011-08-17 00:05:01
- bobbym
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Re: Series
Hiyo Silver!
I am zeroing in on that Ramanujan sum!
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.
#136 2011-08-17 00:10:54
- gAr
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Re: Series
That's good!
"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."
#137 2011-08-17 07:05:14
- bobbym
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Re: Series
Hi gAr;
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.
#138 2011-08-17 09:39:26
- anonimnystefy
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Re: Series
gAr wrote:
14)
i think i saw calculus.
yes i did see calculus.
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
#139 2011-08-17 13:27:46
- bobbym
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Re: Series
Hi gAr;
anonimnystefy might be right. That might be calculus. I am not sure? Is integration calculus? I really do not know. Okay, it is calculus. But it is interesting anyway. I will keep looking for something else.
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.
#140 2011-08-17 13:30:07
- 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."
#141 2011-08-17 13:41:10
- bobbym
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Re: Series
Hi gAr;
Yes, I know I was just kidding 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.
#142 2011-08-17 13:47:16
- gAr
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Re: Series
Hi bobbym,
Okay!
I was typing when you posted there. I read your post after replying.
"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."
#143 2011-08-17 13:50:12
- bobbym
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Re: Series
Hi gAr;
That is okay. I was working on the bounding of the sum. Thought it was a long shot. When I found that identity I forgot the conditions of the question.
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.
#144 2011-08-17 14:00:56
- gAr
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Re: Series
Hi,
Okay.
Manipulating the sum was tricky from the solution I saw.
So I expanded it to a few terms to see what it actually looked like. Then I could understand.
Of course, the first step is partial fractions!
"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."
#145 2011-08-17 23:39:45
- gAr
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Re: Series
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."
#146 2011-08-18 03:36:23
- bobbym
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Re: Series
Hi gAr;
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.
#147 2011-08-18 03:50:56
- 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."
#148 2011-08-18 03:53:41
- bobbym
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Re: Series
Hi gAr;
I am not following you. The series is to infinity and the terms perfectly interleave so it is exactly the log(2) series. What did you do here?
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.
#149 2011-08-18 04:05:46
- gAr
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Re: Series
Hi,
Roughly, I meant to say they travel unequal "distances" , that term 1/2k is a slowpoke!
"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."
#150 2011-08-18 04:08:59
- bobbym
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Re: Series
So how do you combine them up?
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.