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Topological Abelian Groups
This post will venture further into abstract mathematics than most of my posts. If this isn't what you're looking for, you might try browsing here for more concrete articles. Incidentally, although I'm an applied mathematician, I also appreciate pure math. I imagine most applied mathematicians do as well. But what I do not appreciate is
Logarithmic sawtooth
Here's a strange integral I ran across recently [1]. It's a little surprising that the integral even exists, and more surprising that its value has a simple expression. Here's a plot of the integrand. The plot doesn't do justice to all the activity on the left end. There are an infinite number of increasingly vertical