Archive for the 'Math and Physics' Category
UW Challenge June 10
Tuesday, June 17th, 2008This weeks problem: Determine A2008 if A0 = A and
An+1 = An / (1 + n An), for n = 0, 1, 2, …
Solution: A2008 = A / (1 + 2 015 028 A )
See my full solution PDF (With Mathematica and by-hand solutions).
UW Challenge April 28 2008
Monday, April 28th, 2008This week’s problem: Andrew has n3 white cubes of the size 1 x 1 x 1. He wants to construct an n x n x n cube with all its faces being completely white. Find the minimal number of the faces of small cubes that Basil must paint black in order to prevent Andrew from […]
UW Challenge April 21 2008
Sunday, April 20th, 2008This week’s problem: Find the minimum number of squares that are required to draw a complete n x n grid. For example, when n = 2, the answer is 3, as three squares suffice: a 2×2 and two 1×1 squares (draw a picture!); moreover it is easy to see it can’t be […]
UW Math Challenge of the Week Winner
Saturday, April 19th, 2008The UW Math Department offers a weekly challenge, with a small prize picked each week. A couple weeks ago, they picked me, much to my surprise :-).
While I only do these for fun, and the intent is for the prize to go to Undergrads, then Grad students, and finally Faculty, it was nice to be […]
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