May 13--May 19 2008
This week's problem:
Show that on every great circle around the Earth, there are two antipodal points that have the same temperature. (Assume that the temperature on Earth is a continuous function.)
Solution to last week's problem:
Correct solutions:
Jacob Lewis, Dustin Moody (graduate); Konrad Schroder (staff); Stefan Sharkansky, Lloyd Sakazaki (outside).
Konrad Schroder wins the prize!
I've just found out that all our emails before the 8th of May disappeared; if you sent in a solution for last week's problem and didn't get a reply, apologies. If you send it again, I'll grade your solution and add your name to the list if your answer is right. (I'm out of town today, but I'll get a chance to look at solutions tomorrow.)
Prize: The winner of this week's Challenge Problem receives a gift certificate for Ben and Jerry's Ice Cream!
Rules: The Mathematical Sciences Challenge Problem is posted every Tuesday Morning. Solutions can be submitted until noon of the next Monday. Everyone can participate. The winner is drawn from the pool of correct solutions, with preference given to solutions that are better than others (for instance, an exact result over a floating point result, etc.) and to undergraduate students over graduate students over faculty.
For questions, comments, or suggestions for future challenge problems, or to be added/removed from the email list: please email challenge[at]math.washington.edu. The challenge problem is maintained by Jonathan Cross (math), David Lovit (amath), Robert Bradshaw (math), Alex Lenkoski (stat) and Chris Curtis (amath).
