I was looking recently at the Python module toolz, a collection of convenience functions. A lot of these functions don’t…
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Unexpected square wave
Last night a friend from Vanderbilt, Father John Rickert, sent me a curious math problem. (John was a PhD student…
Continue ReadingBinomial coefficients mod primes
Imagine seeing the following calculation: The correct result is and so the first calculation is off by 25 orders of…
Continue ReadingSquare wave, triangle wave, and rate of convergence
There are only a few examples of Fourier series that are relatively easy to compute by hand, and so these…
Continue ReadingMaximum gap between binomial coefficients
I recently stumbled on a formula for the largest gap between consecutive items in a row of Pascal’s triangle. For…
Continue ReadingPredicting in Small Steps
These results would not be suitable for any engineering task and are suboptimal.Now let’s look at the results of the…
Continue ReadingSmall Steps: A Experimental Case for Compound Prediction
These results would not be suitable for any engineering task and are suboptimal.Now let’s look at the results of the…
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