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#101 2013-04-17 05:08:45

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

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


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#102 2013-04-17 05:14:44

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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#103 2013-04-17 05:17:23

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

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


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#104 2013-04-17 05:20:43

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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#105 2013-04-17 05:22:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

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].


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#106 2013-04-17 05:24:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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#107 2013-04-17 05:27:48

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

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


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#108 2013-04-17 05:32:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

Re: Julianthemath's number 3


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#109 2013-04-17 05:39:53

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

Aren't those the sequuence numbers?


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#110 2013-04-17 05:41:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

Re: Julianthemath's number 3

Yes, they are.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#111 2013-04-17 05:44:46

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

So, we have found a simpler exact form? big_smile


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#112 2013-04-17 05:46:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

Re: Julianthemath's number 3

Yes but with one problem.


In mathematics, you don't understand things. You just get used to them.

If it ain't broke, fix it until it is.

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#113 2013-04-17 05:47:28

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

Which?


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#114 2013-04-17 05:48:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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#115 2013-04-17 05:51:26

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

Yes, but at least it is a bit simpler.


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#116 2013-04-17 05:55:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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#117 2013-04-17 05:58:38

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 15,937

Re: Julianthemath's number 3

Which analitycal techniques?

Last edited by anonimnystefy (2013-04-17 05:59:02)


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

#118 2013-04-17 06:04:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,590

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.

If it ain't broke, fix it until it is.

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