Re: Geometry problem
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I have seen this problem before (it certainly is well known enough to be considered part of mathematical folklore).
One of the nicer ways is to integrate exp(2 \pi i (x+y)) over R (which is of course the same as integrating exp(2\pi i (x+y)) over the union of all of the rectangles ...)
there is another solution involving checkerboards but I am an analyst by heart and by training and so I stick to my most familiar tools [img]/images/graemlins/smile.gif[/img]
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I thought there was a rule against problems where the easiest solution involves calculus. Right? Does this mean there is an even easier solution than this?
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