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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.
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.
 

#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.
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.
 

#105 2013-04-18 03:22:39

anonimnystefy
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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.
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.
 

#107 2013-04-18 03:27:48

anonimnystefy
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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
Administrator

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Re: Julianthemath's number 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.
 

#109 2013-04-18 03:39:53

anonimnystefy
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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
Administrator

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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.
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.
 

#111 2013-04-18 03:44:46

anonimnystefy
Real Member

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Re: Julianthemath's number 3

So, we have found a simpler exact form? big_smile


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
Administrator

Online

Re: Julianthemath's number 3

Yes but with one problem.


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.
 

#113 2013-04-18 03:47:28

anonimnystefy
Real Member

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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
Administrator

Online

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.
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.
 

#115 2013-04-18 03:51:26

anonimnystefy
Real Member

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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
Administrator

Online

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.
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.
 

#117 2013-04-18 03:58:38

anonimnystefy
Real Member

Offline

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
Administrator

Online

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.
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.
 

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