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## #301 2012-05-04 07:22:10

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Hmmmm. So I guess the rocket will only get 1 / 5 of the way to the moon?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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## #302 2012-05-04 07:23:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Good enough.

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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## #303 2012-05-04 07:34:18

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

If that is all you can get.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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## #304 2012-11-02 09:02:52

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

With a better machine this Maxima code:

``````gf1(x):=ratexpand(ratsimp((gf(x))^1000));
sum(prime(i)*coeff(gf1(x),x^i),i,1,6000);``````

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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## #305 2012-11-02 09:36:43

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Hi;

So what is the answer? Those men have been stuck in space for a long time.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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## #306 2012-11-02 09:57:21

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

It doesn't have enough memory to evaluate the sum...

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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## #307 2012-11-02 10:00:43

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Do you have any other ideas that might help?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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## #308 2012-11-02 10:05:52

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Not really... Have you solved it?

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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## #309 2012-11-02 10:10:11

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

I was thinking about a method you might try.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

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## #310 2012-11-02 10:13:07

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Which one?

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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## #311 2012-11-02 10:17:19

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

You know that the lowest power in the expansion is 1000. The lowest prime in the expansion is 1009. What is the highest exponent in the expansion?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #312 2012-11-02 10:22:38

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

6000. 5987 is the largest prime below 6000.

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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## #313 2012-11-02 10:32:02

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Does maxima have a Coefficients command?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #314 2012-11-02 10:36:01

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Didn't you see it get used in the code above. It's the coeff() function.

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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## #315 2012-11-02 10:48:09

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

It is a different command in geogebra!

Taking a little eating break.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #316 2012-11-02 10:59:53

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Geogebra?

Okay, see you later...

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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## #317 2012-11-02 11:59:41

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Geogebra has maxima inside it!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #318 2012-11-02 12:05:10

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

I know that. But, why did you mention a function for coefficients?

Last edited by anonimnystefy (2012-11-02 12:05:42)

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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## #319 2012-11-02 12:07:31

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

It is one of the ways you can get an answer. In geogebra it is Coefficients[poly,variable], notice I cannot pick out anyone I want without further processing.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #320 2012-11-02 12:09:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

But it would have to sum all coefficients of prime-numbered powers if x, which is a lot of computing.

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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## #321 2012-11-02 12:14:04

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

Yes, it is a tough problem. Ever heard of Doc Thorne?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #322 2012-11-02 12:17:06

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Yes. And only that-heard.

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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## #323 2012-11-02 12:24:02

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

You have heard of him?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline

## #324 2012-11-02 12:37:43

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,015

### Re: Generating Functions

Yes

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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## #325 2012-11-02 12:39:11

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 104,183

### Re: Generating Functions

That is why I posed this problem.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
A number by itself is useful, but it is far more useful to know how accurate or certain that number is.

Offline