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Category Archives: Uncategorized
Floatingpoint agreement between MATLAB and C++
Introduction A common development approach in MATLAB is to: Write MATLAB code until it’s unacceptably slow. Replace the slowest code with a C++ implementation called via MATLAB’s MEX interface. Goto step 1. Regression testing the faster MEX implementation against the … Continue reading
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What is (1&3)?
This is just nostalgic amusement. I recently encountered the following while poking around in some code that I had written a disturbingly long time ago: What does this code do? This is interesting because the switch expression is a constant … Continue reading
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The following are equivalent
I have been reviewing Rosen’s Discrete Mathematics and Its Applications textbook for a course this fall, and I noticed an interesting potential pitfall for students in the first chapter on logic and proofs. Many theorems in mathematics are of the … Continue reading
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Dice puzzle
I recently encountered the following interesting problem: Suppose that I put 6 identical dice in a cup, and roll them simultaneously (as in Farkle, for example). Then you take those same 6 dice, and roll them all again. What is … Continue reading
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A number concatenation problem
Introduction Consider the following problem: given a finite set of positive integers, arrange them so that the concatenation of their decimal representations is as small as possible. For example, given the numbers {1, 10, 12}, the arrangement (10, 1, 12) … Continue reading
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Cutting crown molding
This post captures my notes on how to determine the miter and bevel angles for cutting crown molding with a compound miter saw. There are plenty of web sites with tables of these angles, and even formulas for calculating them, but … Continue reading
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Iterative Poohsticks
The game of Poohsticks was invented by Milne and appears in one of his books, where Pooh and Christopher Robin each simultaneously drop a stick into a river from the upstream side of a bridge. The winner is the one … Continue reading
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