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## #501 2012-05-19 08:15:25

bobbym

Online

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #502 2012-05-19 15:21:07

gAr
Star Member

Offline

### Re: Bafflers?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

## #503 2012-05-19 18:35:19

bobbym

Online

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #504 2012-05-19 20:50:01

gAr
Star Member

Offline

### Re: Bafflers?

Hi,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

## #505 2012-05-19 22:05:05

bobbym

Online

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #506 2012-05-19 23:36:01

bobbym

Online

### Re: Bafflers?

Find the equation of the line that intersects x^2 - 4x - 6 at two points A and B, has a slope of 5 and the distance between A and B is exactly 10.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #507 2012-05-21 00:03:45

gAr
Star Member

Offline

### Re: Bafflers?

Hi bobbym,

The composition of g.f's is something that I didn't know.
Woo hoo, that's amazing!
What other problems can it solve?

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

## #508 2012-05-21 00:18:27

bobbym

Online

### Re: Bafflers?

Hi gAr;

Anytime something depends on how many of the other. Basically it is for this type of problem. I do not remember whether Conroy does one but I know that Tucker showed me how. This is the standard book problem.

I have 2 die. I throw one and then throw the other as many times as the number that comes up on the first die.What are the probabilities for each possible sum?

So we use the composition of functions to do this:

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #509 2012-05-21 00:35:21

gAr
Star Member

Offline

### Re: Bafflers?

Hi,

Okay, thanks for the problem, and the nice solution.

Find the equation of the line that intersects x^2 - 4x - 6 at two points A and B, has a slope of 5 and the distance between A and B is exactly 10.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

## #510 2012-05-21 00:59:30

bobbym

Online

### Re: Bafflers?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #511 2012-05-21 01:02:09

gAr
Star Member

Offline

### Re: Bafflers?

Thanks!
I'll take a break, see you later...

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

## #512 2012-05-21 01:05:25

bobbym

Online

### Re: Bafflers?

Okay, thanks for coming in and working on the problems.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #513 2012-05-21 01:26:24

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Hi bobbym

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

## #514 2012-05-21 03:42:34

bobbym

Online

### Re: Bafflers?

Hi;

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #515 2012-05-21 04:04:44

anonimnystefy
Real Member

Offline

### Re: Bafflers?

And what is the correct one.

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

## #516 2012-05-21 04:06:45

bobbym

Online

### Re: Bafflers?

Hmmmm. I feel a rant coming on...

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #517 2012-05-21 04:25:45

anonimnystefy
Real Member

Offline

### Re: Bafflers?

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

## #518 2012-05-21 04:35:03

bobbym

Online

### Re: Bafflers?

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #519 2012-05-21 04:39:12

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Last edited by anonimnystefy (2012-05-21 04:44:48)

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

## #520 2012-05-21 04:57:13

bobbym

Online

### Re: Bafflers?

#### anonimnystefy wrote:

What is the point of simplifying?

Also,you are really starting to get on my nerves a little (not really,but I am lacking the right expression).When I simplify you say don't.When I don't you say simplify.I can't keep up with you.

I am not trying to get on your nerves. These threads demand a little bit more accuracy. We get that accuracy by correcting each other. I realize that is hard to do without offending someone. But I hope you will understand that someone who corrects you is at that moment your best friend, if he is right of course.

Would you leave an answer as 2 / 4 or 32 / 64 or 50 / 100? For one thing you might confuse the person who is marking your paper. 2630 / 104 does not immediately look like 1315 / 52.

I never say in an answer not to simplify except in some rare cases. We can talk about them if you like. Sometimes when working on a problem it is advantageous to not simplify until the end. Those cases are rare.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #521 2012-05-21 05:22:51

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Hi bobbym

I am not trying to offend you.I noted that I was lacking the right expression.

Well,I usually cancel,but a person marking my paper should be an expert on the subject capable on recognizing different forms of an answer.

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

## #522 2012-05-21 06:31:58

bobbym

Online

### Re: Bafflers?

I am not offended. You should not be trying to keep up with me. Never compete with an old man. There are two possibilities:

1)You beat him but you get no credit because everyone thinks you just beat a has been, a spent force long past his prime.

2) He uses his tremendous experience to beat you and you look doubly ridiculous having just lost to Grandpa.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #523 2012-05-21 06:52:14

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Who is trying to keep up with 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

## #524 2012-05-21 06:53:03

bobbym

Online

### Re: Bafflers?

That is what you said in your quote.

In mathematics, you don't understand things. You just get used to them.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #525 2012-05-21 07:09:07

anonimnystefy
Real Member

Offline

### Re: Bafflers?

Oh,that! That was not the same meaning you used.

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