Forum: Science, Math, and Philosophy
12-02-2007, 02:32 AM
|
|
Replies: 299
Views: 2,261
|
|
Forum: Science, Math, and Philosophy
11-28-2007, 11:24 AM
|
|
Replies: 299
Views: 2,261
|
|
Forum: Science, Math, and Philosophy
11-26-2007, 04:49 PM
|
|
Replies: 2
Views: 118
A Olympiad problem (original creation)
I have created many Olympiad problems, most of them for regional, state and National (Mexico) contests. This is not the one I'm proud the most, just one I find interesting and with a short solution....
|
|
Forum: Science, Math, and Philosophy
11-26-2007, 04:34 PM
|
|
Replies: 131
Views: 1,545
|
|
Forum: Sporting Events
11-19-2007, 12:05 AM
|
|
Replies: 560
Views: 3,249
|
|
Forum: Science, Math, and Philosophy
11-09-2007, 08:41 PM
|
|
Replies: 86
Views: 421
Re: Why I Am A Semi-Sociopath
[ QUOTE ]
I think most of us will agree with you. I don't think this is sociopathic at all. I do believe in universal compassion, but I don't believe in equal compassion.
[/ QUOTE ]
QFT
|
|
Forum: Science, Math, and Philosophy
11-08-2007, 02:29 PM
|
|
Replies: 7
Views: 62
|
|
Forum: Science, Math, and Philosophy
11-08-2007, 11:45 AM
|
|
Replies: 7
Views: 62
|
|
Forum: Science, Math, and Philosophy
11-04-2007, 04:15 AM
|
|
Replies: 11
Views: 81
Solution Russia National Contest Pr 1998-7
The digits are all distinct, so you need to use all of them for the 10 digit numbers.
Now 0+1+2+...+9 = 45, so all the numbers are multiples of 9, since 11111 is not, then the numbers must be...
|
|
Forum: Science, Math, and Philosophy
11-04-2007, 03:53 AM
|
|
Replies: 11
Views: 81
|
|
Forum: Science, Math, and Philosophy
11-03-2007, 10:51 PM
|
|
Replies: 11
Views: 81
|
|
Forum: Sports Betting
11-03-2007, 09:06 AM
|
|
Replies: 7
Views: 68
|
|
Forum: Sports Betting
11-03-2007, 07:20 AM
|
|
Replies: 7
Views: 68
Do public money really overcome sharp money?
Obviously there are too many people in between, but just for the sake of the argument lets divide the betting population in sharps and squares.
Does the fact that there are way too many squares...
|
|
Forum: Science, Math, and Philosophy
11-03-2007, 03:00 AM
|
|
Replies: 113
Views: 570
Re: Religion DOES Do More Good Than Harm
[ QUOTE ]
I agree there is no harm in leaving someone to their delusions if that's what it takes to give their life a sense of purpose and makes them feel happy and secure.
[/ QUOTE ]
...
|
|
Forum: Science, Math, and Philosophy
11-03-2007, 02:39 AM
|
|
Replies: 113
Views: 570
Re: Religion DOES Do More Good Than Harm
[ QUOTE ]
I'm reading things to suit myself? Since when is taking a man at his word "reading things to suit myself?"
[/ QUOTE ]
Come on Kurto, you really think the Iraq war was started...
|
|
Forum: Science, Math, and Philosophy
11-03-2007, 02:21 AM
|
|
Replies: 11
Views: 81
Re: Russia National Contest Pr 1998-7
[ QUOTE ]
unless im doing something wrong it seems the answer is 10 nPr 10, or 3628800
[/ QUOTE ]
You're counting a lot of numbers not in the solution. Remember, they need to be a multiple...
|
|
Forum: Science, Math, and Philosophy
11-02-2007, 04:44 AM
|
|
Replies: 113
Views: 570
Re: Religion DOES Do More Good Than Harm
[ QUOTE ]
How do we reconcile the numbers that seem contrary to this - divorce rates, crime rates, etc
[/ QUOTE ]
LOL, people divorce because it's pretty hard to live with the same human...
|
|
Forum: Science, Math, and Philosophy
11-02-2007, 04:38 AM
|
|
Replies: 113
Views: 570
Re: Religion DOES Do More Good Than Harm
David,
I think what you said it's definitely true, and to be honest, I don't know how anybody can argue otherwise. It's enough to know people and this world where we live in; but I understand that...
|
|
Forum: Science, Math, and Philosophy
11-02-2007, 04:25 AM
|
|
Replies: 113
Views: 570
Re: Religion DOES Do More Good Than Harm
[ QUOTE ]
Then there's the obvious argument that most wars are caused by religion, coupled with all the intolerance, hate, and bigotry, etc.
[/ QUOTE ]
How exactly a war like Iraq's was...
|
|
Forum: Science, Math, and Philosophy
11-02-2007, 01:44 AM
|
|
Replies: 11
Views: 81
|
|
Forum: Science, Math, and Philosophy
11-02-2007, 01:43 AM
|
|
Replies: 8
Views: 65
Re: IMO LL Inequality problem
[ QUOTE ]
Jensen's inequality is rarely used in IMO problems and is more reserved for Putnam problems
[/ QUOTE ]
I'd say it would be pretty rare if a IMO participant didn't know Jensen's. I...
|
|
Forum: Science, Math, and Philosophy
10-31-2007, 09:10 PM
|
|
Replies: 11
Views: 81
Russia National Contest Pr 1998-7
A 10-digit number is said to be "interesting" if its digits are all distinct and it's a multiple of 11111. How many "interesting" integers are there?
|
|
Forum: Science, Math, and Philosophy
10-31-2007, 08:47 PM
|
|
Replies: 8
Views: 65
Re: IMO LL Inequality problem
Sum (S/S-a_i) = Sum (1 + a_i/S-a_i) = n + Sum (a_i/S-a_i)
Now the harmonic mean <= arithmetic mean, then:
[ n / Sum (1/(1/S-a_i))] <= [Sum (1/S-a_i)]/n
therefore n^2/Sum(S-a_i) <= Sum...
|
|
Forum: Science, Math, and Philosophy
10-31-2007, 04:52 PM
|
|
Replies: 8
Views: 65
Re: IMO LL Inequality problem
[ QUOTE ]
The left inequality has nothing to do with the n-gon condition
[/ QUOTE ]
Ya, I noticed when I solved it. I have a solution for the LHS without Jensen's, just using the harmonic...
|
|
Forum: Science, Math, and Philosophy
10-30-2007, 09:42 PM
|
|
Replies: 8
Views: 65
IMO LL Inequality problem
This was proposed by USA for IMO 1979, it did not make the short list (LL stands for long list), but I think it's a good inequalities problem.
If a_1,a_2,...,a_n denote the length of the sides of...
|
