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#26 2012-04-11 22:31:05
- anonimnystefy
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Re: The RRA
What strange things? What condition can be broken here?
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
#27 2012-04-11 22:33:03
- bobbym
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Re: The RRA
Apparently the RRA works by using 1/2 of the original series. This series already decreases by a factor of 1/2.
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.
#28 2012-04-11 22:35:57
- anonimnystefy
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Re: The RRA
How do you mean 1/2 of the original 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
#29 2012-04-11 22:38:20
- bobbym
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Re: The RRA
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.
#30 2012-04-11 22:45:03
- anonimnystefy
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Re: The RRA
Oh that! Yes,I understand that now.
Just one question.Why do you use a minus after the ellipsis?
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
#31 2012-04-11 22:49:43
- bobbym
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Re: The RRA
That is to show that a positive term is followed by a negative one.
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.
#32 2012-04-11 22:54:43
- anonimnystefy
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Re: The RRA
That is an unusual notation.Or maybe I just haven't seen it before.
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
#33 2012-04-11 22:56:29
- bobbym
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Re: The RRA
I see it for alternating series. It is better in my opinion than +...
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.
#34 2012-04-11 22:58:21
- anonimnystefy
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Re: The RRA
But it doesn't make any sense if you show it to somebody who has never seen that notation before and doesn't use it.
Back to the matter at hand...Any other series?Or do you still want to discuss this one?
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
#35 2012-04-11 23:03:25
- bobbym
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Re: The RRA
How many terms are required for 15 digit accuracy and can you reduce that?
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.
#36 2012-04-11 23:09:49
- anonimnystefy
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Re: The RRA
Hi bobbym
The first approximation is 31 terms.Let me do RRA on it.
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
#37 2012-04-11 23:22:16
- anonimnystefy
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Re: The RRA
hi bobbym
With RRA we get a bigger approximation.Is that supposed to happen? Is that why you gave me this one?
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
#38 2012-04-11 23:24:40
- bobbym
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Re: The RRA
It is what I expected to happen.
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.
#39 2012-04-11 23:26:46
- anonimnystefy
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Re: The RRA
Whew! Btw I just got the results.It's 32 or 33 terms.Something like that.
Can you now explain what happened there?
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
#40 2012-04-11 23:27:55
- bobbym
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Re: The RRA
The series is decreasing by a power of 3, the acceleration is a power of 2 so it is naturally slower.
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.
#41 2012-04-11 23:30:40
- anonimnystefy
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Re: The RRA
Oooh...So that's what you said to be careful about.
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
#42 2012-04-11 23:41:38
- bobbym
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Re: The RRA
10 digits of accuracy required.
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.
#43 2012-04-11 23:58:04
- anonimnystefy
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Re: The RRA
Hi bobbym
First approximation is 3684 terms.I will try applying RRA now.
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
#44 2012-04-12 00:04:33
- bobbym
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Re: The RRA
That is too many.
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.
#45 2012-04-12 00:05:46
- anonimnystefy
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Re: The RRA
Hi bobbym
Either way,using RRA I got 621.
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
#46 2012-04-12 00:19:08
- bobbym
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Re: The RRA
Hi;
Your estimates are too high I am getting 400 with the first RRA.
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.
#47 2012-04-12 00:24:44
- anonimnystefy
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Re: The RRA
hi bobbym
Could you tell me what is wrong?
Wolfram Input
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
#48 2012-04-12 00:27:13
- bobbym
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Re: The RRA
First, you solved for the original equation wrong.
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.
#49 2012-04-12 00:32:22
- anonimnystefy
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Re: The RRA
hi bobbym
Wolfram Input(2)
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
#50 2012-04-12 00:41:24
- bobbym
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Re: The RRA
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.