Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #51 2012-04-30 06:53:02

anonimnystefy
Real Member

Online

### Re: Generating Functions

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #52 2012-04-30 06:58:11

bobbym

Offline

### Re: Generating Functions

Better but not right.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #53 2012-04-30 07:01:29

anonimnystefy
Real Member

Online

### Re: Generating Functions

Oh,I think I get it. We divide by the factorial of the exponent because that is a case when we take "the exponent" number of that letter so we need to divide by "the exponent" factorial.

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #54 2012-04-30 07:05:18

bobbym

Offline

### Re: Generating Functions

Try this one then:

"Murmur", 5 letters.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #55 2012-04-30 07:08:35

anonimnystefy
Real Member

Online

### Re: Generating Functions

Hi bobbym

The number of letters really doesn't matter when we are looking for a GF.

Last edited by anonimnystefy (2012-04-30 07:09:14)

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #56 2012-04-30 07:14:16

bobbym

Offline

### Re: Generating Functions

Are you sure?

"MURMURING", create a generating function that counts all possible arrangements of n letters.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #57 2012-04-30 07:16:11

anonimnystefy
Real Member

Online

### Re: Generating Functions

Hi bobbym

Last edited by anonimnystefy (2012-04-30 07:16:41)

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #58 2012-04-30 07:18:51

bobbym

Offline

### Re: Generating Functions

That is very good!

Now how do we get the number of ways for 8 letters out of that?

Taking a break.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #59 2012-04-30 07:23:19

anonimnystefy
Real Member

Online

### Re: Generating Functions

We take the coefficient with x^8.

Ok,see you later!

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #60 2012-04-30 08:51:37

bobbym

Offline

### Re: Generating Functions

Which is what?

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #61 2012-04-30 08:56:09

anonimnystefy
Real Member

Online

### Re: Generating Functions

Me getz 9/8. I actually think that it maybe has to be multiplied by 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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #62 2012-04-30 08:59:45

bobbym

Offline

### Re: Generating Functions

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #63 2012-04-30 09:02:28

anonimnystefy
Real Member

Online

### Re: Generating Functions

I am not sure if it is 9 or 9!/8 or neither.

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #64 2012-04-30 09:05:28

bobbym

Offline

### Re: Generating Functions

The coefficient of x^8 is then multiplied by 8!.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #65 2012-04-30 09:09:53

anonimnystefy
Real Member

Online

### Re: Generating Functions

So 9!/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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #66 2012-04-30 09:25:24

bobbym

Offline

### Re: Generating Functions

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #67 2012-04-30 09:30:56

anonimnystefy
Real Member

Online

### Re: Generating Functions

Well that is what I said,isn't it?

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #68 2012-04-30 09:36:29

bobbym

Offline

### Re: Generating Functions

Hi;

You gave a couple of answers. The closest had a maybe in it. You have to post your answer and stand by it.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #69 2012-04-30 09:46:22

anonimnystefy
Real Member

Online

### Re: Generating Functions

#### anonimnystefy wrote:

So 9!/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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #70 2012-04-30 09:47:38

bobbym

Offline

### Re: Generating Functions

Check that again.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #71 2012-04-30 09:48:38

anonimnystefy
Real Member

Online

### Re: Generating Functions

Why?

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #72 2012-04-30 09:49:25

bobbym

Offline

### Re: Generating Functions

Hmmmm? Because it is incorrect.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #73 2012-04-30 09:56:39

anonimnystefy
Real Member

Online

### Re: Generating Functions

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #74 2012-04-30 14:40:28

bobbym

Offline

### Re: Generating Functions

anonimnystefy wrote:

So 9!/8.

I thought you were saying that was the coefficient of x^8. Please be a bit more explanatory in your answers. That will prevent misunderstandings. Had you labelled that the final answer or the no of ways then it would have been clear to me.

In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #75 2012-04-30 14:51:41

anonimnystefy
Real Member

Online

### Re: Generating Functions

Ok sorry. So it is correct.

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
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón