Forum: Science, Math, and Philosophy
12-01-2007, 08:43 PM
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Replies: 8
Views: 847
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Forum: Science, Math, and Philosophy
12-01-2007, 07:32 PM
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Replies: 10
Views: 1,658
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Forum: Science, Math, and Philosophy
12-01-2007, 06:08 PM
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Replies: 77
Views: 8,744
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Forum: Science, Math, and Philosophy
12-01-2007, 01:27 AM
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Replies: 77
Views: 8,744
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Forum: Science, Math, and Philosophy
12-01-2007, 01:22 AM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
[ QUOTE ]
you may find the discussion here interesting
http://www.artofproblemsolving.com/Forum/viewtopic.php?search_id=1693682000&t=40150
[/ QUOTE ]
link didn't work
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Forum: Science, Math, and Philosophy
12-01-2007, 12:57 AM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
To the original poster: Was this a homework problem in a combinatorics class? Just curious.
[/ QUOTE ]
I made it up, but I'm sure this exact problem has been `made up' many times...
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Forum: Science, Math, and Philosophy
11-30-2007, 07:46 PM
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Replies: 99
Views: 6,332
Re: Case in Point...
One problem is that a lot of oil is in majority muslim countries, hence a blind eye is turned to such attrocities.
Another problem (and religious extremists and political correctophiles are two...
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Forum: Science, Math, and Philosophy
11-30-2007, 01:38 AM
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Replies: 13
Views: 682
Re: Hypothetical CS type question...
[ QUOTE ]
[ QUOTE ]
*For the sake of the post, we can give 'meaningful' the definition of 'anything you can reasonably see someone wishing to program' So, obviously a very wide range of possible...
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Forum: Science, Math, and Philosophy
11-29-2007, 11:33 PM
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Replies: 30
Views: 2,742
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Forum: Science, Math, and Philosophy
11-29-2007, 06:51 PM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
you may find the discussion here interesting
http://www.artofproblemsolving.com/Forum/viewtopic.php?search_id=1693682000&t=40150
[/ QUOTE ]
link didn't work
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Forum: Science, Math, and Philosophy
11-29-2007, 04:41 PM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
Has anyone thought of a combinatorial solution to this ?
I have tried and failed .
We wish to prove :
2nCn + 2c1*(2n-2)C(n-1) + 4c2*(2n-4)C(n-2) + ...+ 2nCn = 4^n
[/ QUOTE ]
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Forum: MTT Community
11-29-2007, 04:14 PM
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Replies: 2
Views: 392
Re: PCA tickets converted to APPT tickets
[ QUOTE ]
Okay, so it seems PokerStars is starting to get somewhere. The first method of redeeming your expired PCA tickets seems to be through special APPT Sydney satellites. Under the APPT tab...
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Forum: Science, Math, and Philosophy
11-29-2007, 04:12 PM
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Replies: 7
Views: 521
Re: An original math problem
[ QUOTE ]
It was your post on SMP that inspired me to post this
problem; it's helpful for part 3).
[/ QUOTE ]
I see. Nice.
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Forum: Science, Math, and Philosophy
11-29-2007, 10:25 AM
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Replies: 39
Views: 2,441
Re: Averaging Grades
[ QUOTE ]
My fiancee is a T.A. in a music class and she has to figure out grades for the kids in the class. There are five things the kids are graded on and they all are weighted differently:
...
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Forum: Science, Math, and Philosophy
11-28-2007, 07:29 PM
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Replies: 7
Views: 521
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Forum: MTT Community
11-28-2007, 06:26 PM
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Replies: 12
Views: 950
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Forum: MTT Community
11-28-2007, 04:24 PM
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Replies: 12
Views: 950
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Forum: MTT Community
11-28-2007, 02:47 AM
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Replies: 2
Views: 317
Re: PCA Steps
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I emailed support and they said that they're going to announce what we can use the tickets for shortly. They said that most likely they will be transferrable to APPT and EPT Steps.
[/...
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Forum: MTT Community
11-28-2007, 01:38 AM
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Replies: 2
Views: 317
PCA Steps
What happens to my unused tickets. I was expecting to have until late December to qualify, but the sats suddenly cut off. I haven't heard anything from PS.
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Forum: Science, Math, and Philosophy
11-27-2007, 11:53 PM
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Replies: 24
Views: 1,513
Re: Maths problem
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I left out the signs because they become +1 in the end. The (-1)^n from the -4 and the (-1)^n from the -1/2 join forces to become (-1)^2n = +1.
So there really aren't any sign errors,...
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Forum: Science, Math, and Philosophy
11-27-2007, 11:13 PM
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Replies: 2
Views: 309
Re: A Olympiad problem (original creation)
[ QUOTE ]
LHS = nC0*ncn + nC1*nC(n-1) + nC2*nC(n-2) +...+nCn*nC0
Suppose you have n girls and n boys to choose from to make a sports team but you must select n players . The total number of...
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Forum: Science, Math, and Philosophy
11-27-2007, 09:41 PM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
Ok, so to hell with real work: the nth coeffcient is
4^n(1/2 choose n) = (4^n/2^n) ((1*3*5*...*2n-1)/n!)=
=2^n*((2n!)/((2n)*(2n-2)*...*(4)*(2)*n!)=(2^n/2^n)(2n!/(n!n!))=
= 2n...
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Forum: Science, Math, and Philosophy
11-26-2007, 08:10 PM
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Replies: 24
Views: 1,513
Re: Maths problem
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I'm assuming using the Online Encyclopedia of Integer Sequences would be cheating?
[/ QUOTE ]
I've never looked at this or thought about it. How would you use it?
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Forum: Science, Math, and Philosophy
11-26-2007, 08:07 PM
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Replies: 24
Views: 1,513
Re: Maths problem
[ QUOTE ]
For the RHS of the recurrence is 4^n, the solution is
combinatorial. Are you suggesting techniques or methods
that are useful in the general case: where the RHS = g(n)
(even simply...
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