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

You are not logged in.

## #201 2012-05-03 08:40:53

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Wow,they totally missed 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

## #202 2012-05-03 08:42:33

bobbym

Online

### Re: Generating Functions

Missed what?

I will post another problem in here.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #203 2012-05-03 08:43:40

anonimnystefy
Real Member

Offline

### Re: Generating Functions

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

## #204 2012-05-04 00:38:40

anonimnystefy
Real Member

Offline

### Re: Generating Functions

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

## #205 2012-05-04 02:42:44

bobbym

Online

### Re: Generating Functions

A game is played. You roll a red die and then roll as many green die as the number on the red die. What is the probability of the sum of the green die equalling 17?

Is this a generating function problem?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #206 2012-05-04 02:44:35

anonimnystefy
Real Member

Offline

### Re: Generating Functions

My first guess would be a no,but I will have to look at it a little.

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

## #207 2012-05-04 03:19:01

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Maybe the coeff of x**17 in ((x+x**2+x**3+x**4+x**5+x**6)+ (x+x**2+x**3+x**4+x**5+x**6)**2+(x+x**2+x**3+x**4+x**5+x**6)**3+ (x+x**2+x**3+x**4+x**5+x**6)**4+(x+x**2+x**3+x**4+x**5+x**6)**5+ (x+x**2+x**3+x**4+x**5+x**6)**6)/6?

Last edited by anonimnystefy (2012-05-04 03:22:15)

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

## #208 2012-05-04 03:26:29

bobbym

Online

### Re: Generating Functions

That is almost correct except there is an error. Do you see it?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #209 2012-05-04 03:30:17

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Oh,yeah,I wasn't really sure about that division by six. Thinking about it again it seems logical not to include it.

Last edited by anonimnystefy (2012-05-04 03:30:40)

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

## #210 2012-05-04 03:32:29

bobbym

Online

### Re: Generating Functions

Without that 6 down there we would have a combinatorics problem but this is a probability problem.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #211 2012-05-04 03:33:42

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Well,I need to divide by what we get when we sub x=1.

Last edited by anonimnystefy (2012-05-04 03:34:09)

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

## #212 2012-05-04 03:36:18

bobbym

Online

### Re: Generating Functions

But as it stands with or without that 6 the answer is not correct.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #213 2012-05-04 03:37:18

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Is the GF okay?

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

## #214 2012-05-04 03:38:28

bobbym

Online

### Re: Generating Functions

We have not even established the need for one but that one is not right.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #215 2012-05-04 03:40:05

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Why is it not 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

## #216 2012-05-04 03:42:14

bobbym

Online

### Re: Generating Functions

It needs some work done on it.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #217 2012-05-04 03:43:46

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Anything besides mulirplying by a constant?

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

## #218 2012-05-04 03:45:16

bobbym

Online

### Re: Generating Functions

I would think that multiplying by any constant would not fix it. But that is another question.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #219 2012-05-04 03:47:41

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Couod you tell me where the problem is?

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

## #220 2012-05-04 03:48:18

bobbym

Online

### Re: Generating Functions

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #221 2012-05-04 03:50:11

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Not right now. Phone.

Maybe I could try getting on my laptop,but that doesn't seem probable. At least not till 10.

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

## #222 2012-05-04 04:01:51

bobbym

Online

### Re: Generating Functions

Remember any answer is not any good unless it is arrived at in two different ways. Two different directions, then you have some certainty.

I know of a forum filled with olympiad hopefuls. They try to solve combinatoric problems. They post the wrong answer, why? Because they did not check it to see if it was possibly correct. Computers and combinatorics are married. When you use them together you will be more accurate than those who do not.

I think if you would have expanded that gf you would have seen that it can not be right. We would not be going back  and forth right now. In short, we would be going faster.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #223 2012-05-04 04:10:00

anonimnystefy
Real Member

Offline

### Re: Generating Functions

I just had an idea! Should those be EGFs instead of OGFs?

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

## #224 2012-05-04 04:10:53

bobbym

Online

### Re: Generating Functions

Does order count? Is 5 + 3 + 2 different than 3 + 5 + 2?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #225 2012-05-04 04:32:55

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Nope. Isn't that why it should be an EGF?

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