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

You are not logged in.

#2401 2013-10-08 01:33:34

gAr
Member
Registered: 2011-01-09
Posts: 3,478

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."

Offline

#2402 2013-10-08 04:09:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi; gar and anonimnystefy;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2403 2013-10-08 06:31:10

ElainaVW
Member
Registered: 2013-04-29
Posts: 291

Re: What do you think?

Hello:

Using the principle of inclusion exclusion. smile

Last edited by ElainaVW (2013-10-08 06:34:34)

Offline

#2404 2013-10-08 06:36:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2405 2013-10-08 06:45:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: What do you think?

bobbym wrote:

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

Bring it on!


“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

Offline

#2406 2013-10-08 21:21:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2407 2013-10-09 08:33:40

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: What do you think?

Hi bobbym

The closest I could get to an answer:

Last edited by anonimnystefy (2013-10-09 08:42:30)


“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

Offline

#2408 2013-10-09 09:15:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2409 2013-10-09 09:18:10

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: What do you think?

Hi bobbym


“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

Offline

#2410 2013-10-09 09:20:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2411 2013-10-09 09:22:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: What do you think?

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


“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

Offline

#2412 2013-10-09 09:24:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2413 2013-10-09 10:01:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: What do you think?

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

“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

Offline

#2414 2013-10-09 10:03:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2415 2013-10-09 10:16:11

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

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.


“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

Offline

#2416 2013-10-09 11:24:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi;



In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2417 2013-10-09 16:57:42

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Hi,

Last edited by gAr (2013-10-09 17:06:51)


"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."

Offline

#2418 2013-10-09 20:17:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2419 2013-10-09 21:08:44

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Hi bobbym,

Last edited by gAr (2013-10-09 21:12:12)


"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."

Offline

#2420 2013-10-09 21:12:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2421 2013-10-09 21:19:28

gAr
Member
Registered: 2011-01-09
Posts: 3,478

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."

Offline

#2422 2013-10-09 21:25:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2423 2013-10-09 21:43:10

gAr
Member
Registered: 2011-01-09
Posts: 3,478

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."

Offline

#2424 2013-10-09 21:47:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,394

Re: What do you think?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

#2425 2013-10-09 23:12:39

gAr
Member
Registered: 2011-01-09
Posts: 3,478

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."

Offline

Board footer

Powered by FluxBB