Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

Login

Username

Password

Not registered yet?

#26 2012-04-11 22:31:05

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#27 2012-04-11 22:33:03

bobbym
Administrator

Online

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.
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.

#28 2012-04-11 22:35:57

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#29 2012-04-11 22:38:20

bobbym
Administrator

Online

Re: The RRA


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.

#30 2012-04-11 22:45:03

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#31 2012-04-11 22:49:43

bobbym
Administrator

Online

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.
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.

#32 2012-04-11 22:54:43

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#33 2012-04-11 22:56:29

bobbym
Administrator

Online

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.
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.

#34 2012-04-11 22:58:21

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#35 2012-04-11 23:03:25

bobbym
Administrator

Online

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.
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.

#36 2012-04-11 23:09:49

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#37 2012-04-11 23:22:16

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#38 2012-04-11 23:24:40

bobbym
Administrator

Online

Re: The RRA

It is what I expected to happen.


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.

#39 2012-04-11 23:26:46

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#40 2012-04-11 23:27:55

bobbym
Administrator

Online

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.
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.

#41 2012-04-11 23:30:40

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#42 2012-04-11 23:41:38

bobbym
Administrator

Online

Re: The RRA



10 digits of accuracy required.


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.

#43 2012-04-11 23:58:04

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#44 2012-04-12 00:04:33

bobbym
Administrator

Online

Re: The RRA

That is too many.


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.

#45 2012-04-12 00:05:46

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#46 2012-04-12 00:19:08

bobbym
Administrator

Online

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.
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.

#47 2012-04-12 00:24:44

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#48 2012-04-12 00:27:13

bobbym
Administrator

Online

Re: The RRA

First, you solved for the original equation wrong.


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.

#49 2012-04-12 00:32:22

anonimnystefy
Real Member

Offline

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
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#50 2012-04-12 00:41:24

bobbym
Administrator

Online

Re: The RRA


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.

Board footer

Powered by FluxBB