MathParadise

Given 12 coins, one of which is false with a different weight. Determine in the minimum number of weighings which one is false and whether it’s lighter or heavier than the rest.

There are 20 people in a room. What is the probability that two of them will have the same birthday?

It is often overlooked how much math there is in programming and computer science. For example, my newest site http://www.mmlol.com uses a dynamic sorting and ranking algorithm to determine the most relevant funny links.

mmlol is a collection of user submitted links which must be stored in a database and then ranked by users. The trickiest part is the suggestion algorithm, which I have yet to create.

1) A man was to be sentenced, and the judge told him, “You may make a statement. If it is true, I’ll sentence you to four years in prison. If it is false, I’ll sentence you to six years in prison.” After the man made his statement, the judge decided to let him go free. What did the man say?

2) I can run, but never walk,
Often a murmur, never talk, I have a bed but never sleep, I have a mouth but never eat. What am I?

3)  What has three feet but cannot walk?

4)  You have a barrel of oil, and you need to measure out just one gallon. How do you do this if you only have a three-gallon container and a five-gallon container?

5)  The Pope has it but he does not use it. Your father has it but your mother uses it. Nuns do not need it. Your lady friend’s husband has it and she uses it. What is it?

http://www.youtube.com/watch?v=lCJ3Oz5JVKs

Optical illusions are back with a huge batch!

http://www.ritsumei.ac.jp/~akitaoka/rotate-e.html

http://www.gocomics.com/foxtrot/2009/02/08/

http://www.boston.com/bostonglobe/ideas/articles/2009/02/08/a_talk_with_mario_livio/?page=2

1) What is the limit of xe^(-x) as x approaches infinity?

2)What is the limit of (x^2) e^(-x) as x approaches infinity?

3) Is there a value of n where the limit of (x^n)e^(-x) as x approaches infinity is not zero?