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#51 2013-04-17 03:45:00

anonimnystefy
Real Member

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Re: Julianthemath's number 3

Have you checked if 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
 

#52 2013-04-17 03:47:52

bobbym
Administrator

Online

Re: Julianthemath's number 3

Hohohohohohoooo, that is a good one. I needed that.

Yes, I did and it seems to work.


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.
 

#53 2013-04-17 03:59:37

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Okay. Good. Like you said, you can never trust a CAS.


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
 

#54 2013-04-17 04:03:34

bobbym
Administrator

Online

Re: Julianthemath's number 3

What now?


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.
 

#55 2013-04-17 04:08:45

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Can you run a_n/(1/5*(-2)^n+2^(n-1)) for n=1,2,3,... for me and tell me the results?


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
 

#56 2013-04-17 04:10:47

bobbym
Administrator

Online

Re: Julianthemath's number 3

Hi;

Yes, but what is the LHS and the initial value?


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.
 

#57 2013-04-17 04:12:04

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

No, I just need the value of that expression for n=1,2,3,... a_n is the sequence we were just working 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
 

#58 2013-04-17 04:14:46

bobbym
Administrator

Online

Re: Julianthemath's number 3

The best I can do is divide each term of that sequence by the denominator you are providing in #55


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.
 

#59 2013-04-17 04:16:32

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

That is exactly what I want you to do.


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
 

#60 2013-04-17 04:38:40

bobbym
Administrator

Online

Re: Julianthemath's number 3

Hi;

Sorry, got delayed.


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.
 

#61 2013-04-17 04:42:36

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Are sure you used the denominator I gave 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
 

#62 2013-04-17 04:44:15

bobbym
Administrator

Online

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.
 

#63 2013-04-17 04:51:57

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Ah, sorry. And what about when the denominator is 2^n-(-2)^(n+1)/5.


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
 

#64 2013-04-17 04:55:31

bobbym
Administrator

Online

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.
 

#65 2013-04-17 04:59:22

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

Hm, so it is good as an asymptotic 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
 

#66 2013-04-17 05:04:41

bobbym
Administrator

Online

Re: Julianthemath's number 3

Yes, it looks like that. You might play with it a little more for a closed form.


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.
 

#67 2013-04-17 05:32:08

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

I wonder if there is an application of xor in combinatorics.


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
 

#68 2013-04-17 14:17:58

bobbym
Administrator

Online

Re: Julianthemath's number 3

How did you do with getting a closed form?


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.
 

#69 2013-04-17 18:16:05

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

I got nowhere.


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
 

#70 2013-04-17 18:59:42

bobbym
Administrator

Online

Re: Julianthemath's number 3

Okay, how did you get the asymptotic form?


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.
 

#71 2013-04-17 19:28:06

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

I just reduced the exact form, thinking that it might be easier to work with if we wanted to get anything more about the sequence.


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
 

#72 2013-04-17 19:30:33

bobbym
Administrator

Online

Re: Julianthemath's number 3

I do not understand, "reduced the exact form?" You have the exact form?


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.
 

#73 2013-04-17 19:31:49

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

I used the one you got!


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
 

#74 2013-04-17 19:37:45

bobbym
Administrator

Online

Re: Julianthemath's number 3

I got? Which, what and where?


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.
 

#75 2013-04-18 00:30:08

anonimnystefy
Real Member

Online

Re: Julianthemath's number 3

bobbym wrote:

That was the second thing I did.



In chained notation:

M = Newton -> Euler -> Fermat


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
 

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