Category Archives: Cool Ideas

Changing the Limits of Integration

It is possible to change the limits of a definite integral to any limits you want by using a linear u-substitution.  To go from the integral from a to b to the integral from a’ to b’, use a u-substitution of u = mx + … Continue reading

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Machine Learning – So, Explain Yourself

We humans are not giving up without a fight. Though computers are clearly outthinking us, see AlphaGo for example, we aren’t listening.  Cynthia Rudin, my latest hero, describes the issue in this video. Humans need reasons. In the paper, A … Continue reading

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An Optimization Excursion

A student, Emily Wimmer, walked into my office.  She was trying to make sense of an optimization algorithm.  We worked it out and off she went to write a MATLAB program to test the algorithm on a well-behaved function. Of … Continue reading

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Creativity May Run Out of Resources

I am at a Creativity conference here in Ashland, Oregon.  In the first talk, Giovanni Corazza discussed the Dynamic Universal Creativity Process (DUCP).  He argued that evolution (creation) was growing super-exponentially and made a call for more creators and more … Continue reading

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Graphing Sampling Error for Ordinal Data

In previous posts I have been discussing how to treat rubric data as sample data.  The next post along these lines is intended to show how to apply various Bayesian methods to such data.  My plan was to contrast these methods … Continue reading

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Derooting with Radicals

My students were working in pairs on this problem, One group, looking for perfect square factors, had gotten this far, One person asked the other, “Now what?”  The other replied, “Just deroot the x to the eight and the y to the … Continue reading

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Chasing Infinity – 3D Version

The frequency of my blog posts have been diminishing more and more, or should I say, the wave length has been getting longer.  I attribute this mostly to my accession as math department chair.  I just haven’t had the time … Continue reading

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