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#226 2011-02-03 23:17:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Yes, that is correct see post #224 for the explanation.


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.

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#227 2011-02-03 23:18:36

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gar,

Yeah i did manually.. Now i tried it with wolfram alpha


I come from a civilization which has given the world the number 0..

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#228 2011-02-03 23:18:49

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

I get exactly that...


"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."

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#229 2011-02-03 23:21:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Okay, that is done! Now I go to the circle problem. I am half done with that. Thanks for looking at this problem guys.


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.

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#230 2011-02-03 23:24:31

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi Howardroark,

Ok, I suggest you to do use maxima : http://maxima.sourceforge.net/download.html
I use sagemath, but it's not available for windows.
Maxima is good.


"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."

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#231 2011-02-03 23:26:24

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gAr,

Thanks..:)


I come from a civilization which has given the world the number 0..

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#232 2011-02-03 23:28:07

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

circle's problem is easier.

Hi Howardroark,

you're welcome smile

Last edited by gAr (2011-02-03 23:29:07)


"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."

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#233 2011-02-03 23:35:29

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gar, 


I come from a civilization which has given the world the number 0..

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#234 2011-02-03 23:43:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

I use Maxima it is a great CAS!


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.

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#235 2011-02-03 23:46:09

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gAr,

Koundinya

Hi bobbym,

It was you who told me about wolfram.. Thank you.. And yeah, Geogebra too.. How do you upload images on this site?


I come from a civilization which has given the world the number 0..

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#236 2011-02-03 23:47:10

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

Can we write scripts in maxima? I mostly use sage because it allows python scripts, makes the job so easy!

Hi Howardroark,

good to know you.
You can upload images using the dropdown list under "image upload"

Last edited by gAr (2011-02-03 23:51:52)


"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."

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#237 2011-02-03 23:51:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Have not used it in awhile ( old version ). I know it uses lisp as its programming language. Stick with Sage if you already know that.


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.

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#238 2011-02-03 23:59:19

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gAr,
Where exactly..?


I come from a civilization which has given the world the number 0..

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#239 2011-02-04 00:00:20

Howardroark
Member
Registered: 2010-10-10
Posts: 382

Re: Is this cool with you?

Hi gAR, 
Sorry i saw it now.. It was too tiny.. I didn't observe it..


I come from a civilization which has given the world the number 0..

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#240 2011-02-04 00:00:32

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

Ok, we can load maxima modules from sage itself. So it does everything maxima does + more. So even if recursion, z-transform etc is not available in sage, we can load maxima and solve it.

Hi Howardroark,

Glad that you found it !

Last edited by gAr (2011-02-04 00:02:08)


"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."

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#241 2011-02-04 00:45:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Hi;

I understand you can use it as a front end for Mathematica and Maple.


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.

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#242 2011-02-04 06:45:56

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

bobbym wrote:

Hi;

4 checkers are randomly placed on a chessboard, what is the probability that no checker is in the same row or column as any other?

A) says:

B) says:

What do you like?

This is a post on first page.
(perm(8,4)^2)/perm(64,4) = 1680^2/15249024 is my answer.
When we place a checker on the board, the number of rows and columns available for the next checker decreases by 1.
So, available squares will become 7x7, 6x6 and 5x5. Hence the probability = (8*7*6*5)^2/(64*63*62*61).


"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."

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#243 2011-02-04 09:49:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

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.

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#244 2011-02-04 14:57:47

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

Yes, I saw rook polynomials.


"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."

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#245 2011-02-04 17:13:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Hi;

That is where the 117600 comes from.


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.

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#246 2011-02-14 07:32:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

A real stumper!

B throws two die. One of the die lands on an odd number, what is the probability that the two die equal 8?

A says) 2 / 9
B says) 1 / 18
C says) 2 / 27
D says) 1 / 6

What do you say?


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

#247 2011-02-14 14:54:04

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

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

#248 2011-02-14 19:52:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Hi gAr;

Yep! Very good! That one got me, I forgot about the nine cases that are impossible!


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.

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#249 2011-02-15 01:14:41

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Is this cool with you?

Hi bobbym,

Thank you!


"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."

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#250 2011-02-15 12:13:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,364

Re: Is this cool with you?

Hi gAr;

You are very welcome. Thanks for looking at the problem.


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.

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