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## #601 2012-04-11 03:47:22

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

No.

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

## #602 2012-04-11 03:48:26

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

You have any new ideas on that integral?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #603 2012-04-11 03:58:06

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

No. I asked my prof if he could do it,and guess what he suggested...trig sub and then IBP. So he wasn't helpful,though I did find more ways to write that same integral.

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

## #604 2012-04-11 04:03:34

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

IBP will not get there, your professor is unaware of the complexity of the answer.

I do not have a new idea either. So, here is what I do in these spots. I shelve the problem temporarily and work on something else. There are 2 good reasons for doing this.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #605 2012-04-11 04:07:36

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

I am aware that he is not aware,but I shall not reveal that to him.

Let me guess one of the reasons-what you start doing then might help you on doing the shelved problem?

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

## #606 2012-04-11 04:10:31

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

Possibly, but there are 2 others.

1)Test gamesmanship also works in everyday matters just as well.

2) Forgetting about the problem temporarily, allows the subconscious mind ( a poor term for something else ) to solve it.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #607 2012-04-11 04:12:57

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

Yes,we learned about that second reason in Psych class. The process is called hybernation. It has 3 explanations which I will not state 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

## #608 2012-04-11 04:18:32

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

By the way, I was being funny up there. You have already seen an example of sequence acceleration. That is what the RRA is.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #609 2012-04-11 04:22:59

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

Oh,okay. So that's what you meant by that was fun. I thought it might be it,but with you I can never know.

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

## #610 2012-04-11 05:45:01

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

Want to see another one?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #611 2012-04-11 05:47:00

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

Sure! Why not?

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

## #612 2012-04-11 05:56:04

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

We are asked to get that sum to 10 correct digits. How many terms would we have to sum?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #613 2012-04-11 06:03:29

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

I'm on my laptop.

We can use Big Oh to get that easily.The exact sum is

.

Let me type the whole procedure 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

## #614 2012-04-11 06:14:19

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

Forget Big O. We are examining how to get the answers without all that. True we are using toy examples just to learn. Later on there will be examples that you will be able to do that Big O will not be able to touch.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #615 2012-04-11 06:17:33

anonimnystefy
Real Member

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### Re: Oh,Oh,Oh,merry analysis!!!

Well I thought we could get the first approximation using Big Oh and then use RRA to see how much less we can go.

Last edited by anonimnystefy (2012-04-11 06:17:47)

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

## #616 2012-04-11 06:20:17

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

Maybe we could. But we are making believe that we are stuck with just a computer to evaluate the sum the hard way. Of course we still want to do the least amount of work possible, there sequence acceleration!

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #617 2012-04-11 06:22:46

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

Hi bobbym

We use PSQL?

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

## #618 2012-04-11 06:24:57

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

No, to use a PSLQ we need a value first for the sum. This must be done by numerical means to a high accuracy.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #619 2012-04-11 06:45:14

anonimnystefy
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### Re: Oh,Oh,Oh,merry analysis!!!

Like what?

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

## #620 2012-04-11 06:46:47

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

The sum we are working is a alternating series.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #621 2012-04-11 06:50:25

anonimnystefy
Real Member

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### Re: Oh,Oh,Oh,merry analysis!!!

So?

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

## #622 2012-04-11 06:54:32

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

So we need 10 digits to put it into a PSLQ. How many terms must I sum to get those 10 digits?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #623 2012-04-11 09:11:41

anonimnystefy
Real Member

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### Re: Oh,Oh,Oh,merry analysis!!!

I don't know. You said not to use Big Oh!

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

## #624 2012-04-11 09:13:18

bobbym

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### Re: Oh,Oh,Oh,merry analysis!!!

You do not need Big O, remember the Leibniz rule for alternating series.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #625 2012-04-11 09:19:42

anonimnystefy
Real Member

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### Re: Oh,Oh,Oh,merry analysis!!!

Oh yes! Give me some time to calculate that.

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