I was looking recently at the Python module toolz, a collection of convenience functions. A lot of these functions don’t…

Continue Reading# coefficients

## Unexpected square wave

Last night a friend from Vanderbilt, Father John Rickert, sent me a curious math problem. (John was a PhD student…

Continue Reading## Binomial coefficients mod primes

Imagine seeing the following calculation: The correct result is and so the first calculation is off by 25 orders of…

Continue Reading## Square 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 Reading## Maximum 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 Reading## Predicting 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 Reading## Small 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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