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## #1951 2013-10-02 16:13:30

anonimnystefy
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### Re: Is this cool with you?

How did you get 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

## #1952 2013-10-02 16:37:26

bobbym

Online

### Re: Is this cool with you?

http://mathworld.wolfram.com/RiemannZetaFunction.html

Formula 19 - 20

But the important thing is why is it better?

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.

## #1953 2013-10-03 03:57:12

anonimnystefy
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### Re: Is this cool with you?

Because it's alternating, of course. RRA is not working too fast, though. I cannot evaluate it quickly...

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

## #1954 2013-10-03 07:35:33

bobbym

Online

### Re: Is this cool with you?

Alternating series can be hard to accelerate too! Heard of the converger?

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.

## #1955 2013-10-03 14:32:36

anonimnystefy
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### Re: Is this cool with you?

No. What is 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

## #1956 2013-10-03 17:11:27

bobbym

Online

### Re: Is this cool with you?

#### Code:

```acc[n_]:=Module[{d,b,c,s},
d=(3+Sqrt[8])^n;
d=(d+1/d)/2;
b=-1;
c=-d;
s=0;
Table[c=b-c;s=s+c*a[k];b=(k+n)(k-n) b/((k+1/2)(k+1)),{k,0,n-1}];
s/d]```

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.

## #1957 2013-10-03 23:20:23

anonimnystefy
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### Re: Is this cool with you?

How does it work?

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

## #1958 2013-10-04 00:21:58

bobbym

Online

### Re: Is this cool with you?

I knew you were going to say 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.

## #1959 2013-10-04 00:29:26

anonimnystefy
Real Member

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### Re: Is this cool with you?

And you do not 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

## #1960 2013-10-04 00:34:26

bobbym

Online

### Re: Is this cool with you?

I knew you were going to ask that.

First, it is for alternating series only. So enter

a[k_]:=1 / ( k + 1 ) then

N[acc[250],200]

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.

## #1961 2013-10-04 00:48:43

anonimnystefy
Real Member

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### Re: Is this cool with you?

Hi

I am getting 0.69314718055994530941723212145817656807550013436025525412068000949339362196969471560586332699641868754200148102057068573368552023575813055703267075163507596193072757082837143519030703862389167347122161...

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

## #1962 2013-10-04 00:50:10

bobbym

Online

### Re: Is this cool with you?

Now enter:

N[Log[2],200]

what do you notice?

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.

## #1963 2013-10-04 00:53:48

anonimnystefy
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### Re: Is this cool with you?

Wow, 196 digits!

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

## #1964 2013-10-04 00:56:09

bobbym

Online

### Re: Is this cool with you?

No what series you just did?

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.

## #1965 2013-10-04 01:04:46

anonimnystefy
Real Member

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### Re: Is this cool with you?

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

## #1966 2013-10-04 01:06:25

bobbym

Online

### Re: Is this cool with you?

The converger always starts at 0.

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.

## #1967 2013-10-04 01:22:02

anonimnystefy
Real Member

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### Re: Is this cool with you?

Same 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

## #1968 2013-10-04 01:24:22

bobbym

Online

### Re: Is this cool with you?

Yes, but it will affect what you enter into a[k_]

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.

## #1969 2013-10-04 01:58:23

anonimnystefy
Real Member

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### Re: Is this cool with you?

That is true, but you asked what the series was.

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

## #1970 2013-10-04 02:04:05

bobbym

Online

### Re: Is this cool with you?

Yes, but I meant in the form that the converger can use.

1) The series must be alternating.

2) It must start at 0.

The function acc has an input and a global variable a. These must be in the precise form required. That is why I did the transformation on the zeta series.

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.

## #1971 2013-10-04 21:35:20

anonimnystefy
Real Member

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### Re: Is this cool with you?

No, no, I got that it must start at 0. I was just saying that what I wrote and what you wrote are the same series.

So, you've got no idea how and why it works?

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

## #1972 2013-10-04 23:41:09

bobbym

Online

### Re: Is this cool with you?

None at all. Did you see how it works on zeta(3)?

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.

## #1973 2013-10-04 23:52:50

anonimnystefy
Real Member

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### Re: Is this cool with you?

Haven't tried. I will do it tomorrow.

What is tthe algorithm based on?

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

## #1974 2013-10-04 23:58:51

bobbym

Online

### Re: Is this cool with you?

The converger? I do not know,

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.

anonimnystefy
Real Member

Offline