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#376 2013-12-13 16:39:53

anonimnystefy
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Re: Generating Functions

I have no idea.


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
 

#377 2013-12-13 21:12:09

bobbym
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Re: Generating Functions


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.
 

#378 2013-12-14 01:53:17

anonimnystefy
Real Member

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Re: Generating Functions

Hm? I just expanded the GF.


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
 

#379 2013-12-14 03:09:41

bobbym
Administrator

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Re: Generating Functions

And the method to get the prime coefficients?


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.
 

#380 2013-12-14 03:19:01

anonimnystefy
Real Member

Offline

Re: Generating Functions

Code:

gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
  Table[1 + Prime[i], {i, 169, 783}]]] // Total

That's my code for the problem.


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
 

#381 2013-12-14 03:25:41

bobbym
Administrator

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Re: Generating Functions

That does not get the right answer?!


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.
 

#382 2013-12-14 03:43:39

anonimnystefy
Real Member

Offline

Re: Generating Functions

Subtract that from 1.


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
 

#383 2013-12-14 03:44:47

bobbym
Administrator

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Re: Generating Functions

Are you sure?


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.
 

#384 2013-12-14 03:47:43

anonimnystefy
Real Member

Offline

Re: Generating Functions

Yes, I am.


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
 

#385 2013-12-14 03:55:59

bobbym
Administrator

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Re: Generating Functions

Hi;


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.
 

#386 2013-12-14 04:15:16

anonimnystefy
Real Member

Offline

Re: Generating Functions

That is not what I am getting.


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
 

#387 2013-12-14 04:20:25

bobbym
Administrator

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Re: Generating Functions

Code:

gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
1 - CoefficientList[gf[x], x][[
   Table[1 + Prime[i], {i, 169, 783}]]] // Total

You are running 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.
 

#388 2013-12-14 04:54:45

anonimnystefy
Real Member

Offline

Re: Generating Functions

No.

Code:

gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
  Table[1 + Prime[i], {i, 169, 783}]]] // Total

Last edited by anonimnystefy (2013-12-14 04:55:00)


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
 

#389 2013-12-14 04:57:58

bobbym
Administrator

Offline

Re: Generating Functions

Okay, then you subtract from 1. I see.


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.
 

#390 2013-12-14 05:22:08

anonimnystefy
Real Member

Offline

Re: Generating Functions

Yes.


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
 

#391 2013-12-14 05:24:06

bobbym
Administrator

Offline

Re: Generating Functions

Now do you see if there is any value to the question?


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.
 

#392 2013-12-14 05:28:12

anonimnystefy
Real Member

Offline

Re: Generating Functions

Because it cannot be solved by hand?


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
 

#393 2013-12-14 05:29:52

bobbym
Administrator

Offline

Re: Generating Functions

Yes, so it is a good exercise for using M.


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.
 

#394 2013-12-14 05:35:33

anonimnystefy
Real Member

Offline

Re: Generating Functions

Okay, that much I got. is there any other way other than just brute force expanding, eg., an asymptotic form or something?

8...


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
 

#395 2013-12-14 05:37:24

bobbym
Administrator

Offline

Re: Generating Functions

Yes, there are many ways.


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.
 

#396 2013-12-14 05:46:11

anonimnystefy
Real Member

Offline

Re: Generating Functions

Like what?

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
 

#397 2013-12-14 05:49:54

bobbym
Administrator

Offline

Re: Generating Functions

They are all computationally intensive but an asymptotic form is possible. Also, there is my paper on this problem except much, much larger.


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.
 

#398 2013-12-14 09:37:38

anonimnystefy
Real Member

Offline

Re: Generating Functions

Can you post the link?

4...

Last edited by anonimnystefy (2013-12-14 09:38:18)


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
 

#399 2013-12-14 10:07:09

bobbym
Administrator

Offline

Re: Generating Functions

I do not have a link but I have notes on it.


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.
 

#400 2013-12-14 10:10:32

anonimnystefy
Real Member

Offline

Re: Generating Functions

Can you post them somehow?


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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