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## #101 2013-04-18 03:08:45

anonimnystefy
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### Re: Julianthemath's number 3

Can you please compute asymptotic_a[n]-a[n] for a few n and post it 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

## #102 2013-04-18 03:14:44

bobbym

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### Re: Julianthemath's number 3

Can you please compute asymptotic_a[n]-a[n] for a few n and post it here?

I do not understand that. What is a[n]-a[n]?

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.

## #103 2013-04-18 03:17:23

anonimnystefy
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### Re: Julianthemath's number 3

The first one is asymptotic_a[n], not just a[n].

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

## #104 2013-04-18 03:20:43

bobbym

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### Re: Julianthemath's number 3

Isn't that what the those fractions are in post #98 and 100?

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.

## #105 2013-04-18 03:22:39

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

It is not. Or at least it is not supposed to be. That should be a[n]/asymptotic_a[n].

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

## #106 2013-04-18 03:24:31

bobbym

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### Re: Julianthemath's number 3

Yes, you know what I mean. Okay, I will give the differences.

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.

## #107 2013-04-18 03:27:48

anonimnystefy
Real Member

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### Re: Julianthemath's number 3

Hm, and what do you get for Floor[asymptotic_a[n]] for different n?

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

## #108 2013-04-18 03:32:25

bobbym

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### Re: Julianthemath's number 3

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.

## #109 2013-04-18 03:39:53

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

Aren't those the sequuence numbers?

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

## #110 2013-04-18 03:41:48

bobbym

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### Re: Julianthemath's number 3

Yes, they are.

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.

## #111 2013-04-18 03:44:46

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

So, we have found a simpler exact form?

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

## #112 2013-04-18 03:46:41

bobbym

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### Re: Julianthemath's number 3

Yes but with one problem.

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.

## #113 2013-04-18 03:47:28

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

Which?

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

## #114 2013-04-18 03:48:55

bobbym

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### Re: Julianthemath's number 3

The floor function is a stepwise function, it is more difficult to work with.

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.

## #115 2013-04-18 03:51:26

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

Yes, but at least it is a bit simpler.

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

## #116 2013-04-18 03:55:18

bobbym

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### Re: Julianthemath's number 3

Some analytical techniques have problems with anything other than a mathematicians dream like smooth functions. To use them you will have to split the recurrence into 4 of them.

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.

## #117 2013-04-18 03:58:38

anonimnystefy
Real Member

Online

### Re: Julianthemath's number 3

Which analitycal techniques?

Last edited by anonimnystefy (2013-04-18 03:59:02)

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

## #118 2013-04-18 04:04:23

bobbym

Offline

### Re: Julianthemath's number 3

Almost any of them also some M techniques too.

For instance take a try to find the series coefficient with M, with and without the floor function.
One will fail the other will not.

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.