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## #2401 2013-10-09 00:33:34

gAr
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### Re: What do you think?

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."

## #2402 2013-10-09 03:09:43

bobbym

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### Re: What do you think?

Hi; gar and anonimnystefy;

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.

## #2403 2013-10-09 05:31:10

ElainaVW
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### Re: What do you think?

Hello:

Using the principle of inclusion exclusion.

Last edited by ElainaVW (2013-10-09 05:34:34)

## #2404 2013-10-09 05:36:43

bobbym

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### Re: What do you think?

Hi EVW;

That is correct!

So everyone can do my problems so easily. Want tougher problems do ye? Hahhahahahah, your wish is my command!

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.

## #2405 2013-10-09 05:45:24

anonimnystefy
Real Member

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### Re: What do you think?

#### bobbym wrote:

Want tougher problems do ye? Hahhahahahah, your wish is my command!

Bring it on!

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

## #2406 2013-10-09 20:21:16

bobbym

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### Re: What do you think?

New problem:

3 random points are placed on the ellipse 3x^2 + 4y^2 - 12x -16y = -17. What is the expected value of the area of the triangle these three points create?

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.

## #2407 2013-10-10 07:33:40

anonimnystefy
Real Member

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### Re: What do you think?

Hi bobbym

The closest I could get to an answer:

Last edited by anonimnystefy (2013-10-10 07:42:30)

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

## #2408 2013-10-10 08:15:06

bobbym

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### Re: What do you think?

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.

## #2409 2013-10-10 08:18:10

anonimnystefy
Real Member

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### Re: What do you think?

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

## #2410 2013-10-10 08:20:00

bobbym

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### Re: What do you think?

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.

## #2411 2013-10-10 08:22:06

anonimnystefy
Real Member

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### Re: What do you think?

I will try to post mine as soon as I can.

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

## #2412 2013-10-10 08:24:30

bobbym

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### Re: What do you think?

That would be appreciated. I am half way through some geogebra code too.

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.

## #2413 2013-10-10 09:01:02

anonimnystefy
Real Member

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### Re: What do you think?

#### Code:

```pt[k_] := {x, y} /. NSolve[{3 (x - 2)^2 + 4 (y - 2)^2 == 11 && y - 2 == Tan[k] (x - 2)}, {x, y}][[RandomInteger[] + 1]];
sides[pt1_, pt2_, pt3_] := (EuclideanDistance @@ #) & /@ {{pt1, pt2}, {pt1, pt3}, {pt2, pt3}};
area[a_, b_, c_] := 1/4 Sqrt[(a + b + c) (-a + b + c) (a - b + c) (a + b - c)];
Table[area @@ (sides @@ (pt /@ RandomVariate[UniformDistribution[{0, 2 Pi}], 3])), {100000}] // Mean```

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

## #2414 2013-10-10 09:03:09

bobbym

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### Re: What do you think?

Hi;

Okay thanks. Have a chore to do and then I will look at it. See you later.

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.

## #2415 2013-10-10 09:16:11

anonimnystefy
Real Member

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### Re: What do you think?

No problem. Tell me if you see a way to improve it (and there surely is).

Also, post in the Computer Math when you get a GG solution.

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

## #2416 2013-10-10 10:24:31

bobbym

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### Re: What do you think?

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.

## #2417 2013-10-10 15:57:42

gAr
Star Member

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### Re: What do you think?

Hi,

Last edited by gAr (2013-10-10 16:06:51)

"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."

## #2418 2013-10-10 19:17:19

bobbym

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### Re: What do you think?

Hi gAr;

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.

## #2419 2013-10-10 20:08:44

gAr
Star Member

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### Re: What do you think?

Hi bobbym,

Last edited by gAr (2013-10-10 20:12:12)

"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."

## #2420 2013-10-10 20:12:52

bobbym

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### Re: What do you think?

Hi gAr;

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.

## #2421 2013-10-10 20:19:28

gAr
Star Member

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### Re: What do you think?

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."

## #2422 2013-10-10 20:25:21

bobbym

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### Re: What do you think?

Hi gAr;

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.

## #2423 2013-10-10 20:43:10

gAr
Star Member

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### Re: What do you think?

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."

## #2424 2013-10-10 20:47:55

bobbym

Offline

### Re: What do you think?

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.

## #2425 2013-10-10 22:12:39

gAr
Star Member

Offline

### Re: What do you think?

"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."