### Description

I have worked as a math professor, programmer, consultant, manager, and statistician. I enjoy combining these skills and experiences to solve problems and see the solutions carried out.

### The Endeavour's Latest Posts

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I’ve been doing some work with Focused Objective lately, and today the following question came up in our discussion. If you’re sampling from a uniform distribution, how many samples do you need before your sample range has an even chance of covering 90% of the population range? This is a variation on a problem I’ve […]

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Here’s a clever example from Paul Nahin’s new book Inside Interesting Integrals. Suppose you want to evaluate Since the range of integration is symmetric around zero, you might think to see whether the integrand is an odd function, in which case the integral would be zero. (More on such symmetry tricks here.) Unfortunately, the integrand […]

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Working with professionals can be a joy. Not only can they solve your problem, they may help you see what problem you should solve. I’ve had several instances lately when I hired a pro to do something I’d attempted myself. In each case I was very pleased and wondered why I hadn’t done this sooner. […]

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You can’t subtract 4 from 3 (and stay inside the natural numbers, but you can inside the integers). You can’t divide 3 by 4 (inside the ring of integers, but you can inside the rational numbers). You can’t take the square root of a negative number (in the real numbers, but in the complex numbers […]

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Here’s an internal dialog I’ve had several times. “What will happen when you’re done with this project?” “I don’t know. Maybe not much. Maybe great things.” “How great? What’s the best outcome you could reasonably expect?” “Hmm … Not that great. Maybe I should be doing something else.” It’s a little paradoxical to think that […]

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