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Math and Computer Science Problems

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Math and Computer Science Problems

Challenging problems, brain teasers, just for fun.

Members: 37
Latest Activity: Sep 30, 2012

Discussion Forum

Fun fact about bathtubs: the Coriolis effect

Started by Vincent Granville. Last reply by Amanda Shankle-Knowlton Jul 18, 2011. 1 Reply

If you empty a bathtub one yard north of the equator, the whirlpool is spinning clockwise. One yard south of the equator, it is spinning anti-clockwise. There's even a tourist attraction in Kenya…Continue

Interesting combinatorial problem

Started by Vincent Granville Jun 25, 2011. 0 Replies

Let t(n) be the number of subsets of {1,2,...,n} such that, when the elements of the subset are listed in increasing order, the first is odd, the second is even, the third is odd and so forth. We…Continue

ACM PDS on HTML5 on May 15

Started by Vera Klimkovsky Apr 10, 2011. 0 Replies

An Introduction to HTML5 on May 14Professional Development SeminarPresented…Continue

Prime number theorem

Started by Vincent Granville Feb 26, 2011. 0 Replies

FrameworkI came up with a very simple function to generate all prime numbers, but I'm not sure it is of any use: h(x) = Product{ f(x-kl) }, where the product is taken over all integers k, l greater…Continue

What is the maximum return a trader can consistently make, in a 12 month time period, without being sued?

Started by Vincent Granville. Last reply by Ralph Winters Nov 30, 2010. 1 Reply

Let's assume that we have N traders, trading randomly using market-neutral strategies (or trading randomly in a neutral market, as the one we have now).Each day, each trader re-invests all her gains.…Continue

Text mining computer science problem (computational complexity)

Started by Vincent Granville Jul 20, 2010. 0 Replies

You have to compute a list of multi-token keywords that contain specific one-token keywords such as car, insurance, degree, etc. You have a 10MM multi-token keyword list, and a 5,000 list of…Continue

A question for physicists

Started by Mirko Krivanek. Last reply by Vincent Granville Jun 13, 2010. 2 Replies

Assuming that the Universe is compact and expanding at a constant rate in all directions, and using a model of the Universe that seems reasonable:1) Can we measure the minimum speed v at which a…Continue

Testing if a distribution is bimodal

Started by Vincent Granville May 12, 2010. 0 Replies

A data set comes from a mixture of 2 independent one-dimensional normal distributions with same variance. How do we test whether both means are identical? What about using the average distance D…Continue

Wine tasting analytics

Started by Vincent Granville. Last reply by Vincent Granville Mar 11, 2010. 1 Reply

In a contest, 20 participants are asked to sample 12 wines: 6 wines are in the $15-25/bottle price range, and 6 ones are in the $80-150/bottle price range. For each of the 12 wines, participants are…Continue

Math problem for those interested in astronomy

Started by Vincent Granville. Last reply by Dylan Thein Feb 10, 2010. 1 Reply

If we were living near the center of our galaxy (the Milky Way) instead of in a remote suburb, would the night sky (illuminated by stars) be as bright as the day sky (illuminated by our sun)?The…Continue

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Comment by Steffen Springer on February 11, 2010 at 1:02pm
Found recently: http://projecteuler.net/

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