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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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

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

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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

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

Hi gAr,

Thanks..:)

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

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

Hi bobbym,

circle's problem is easier.

Hi Howardroark,

you're welcome

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

Hi gar,

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

I use Maxima it is a great CAS!

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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

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

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)*

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

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

Hi gAr,

Where exactly..?

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

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

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

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)*

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

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

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).

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

Hi gAr;

**In mathematics, you don't understand things. You just get used to them.**

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

Hi bobbym,

Yes, I saw rook polynomials.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

Hi;

That is where the 117600 comes from.

**In mathematics, you don't understand things. You just get used to them.**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

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

Hi bobbym,

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

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

Hi bobbym,

Thank you!

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,880

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.**

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