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Monthly Archives: February 2013
Bounded Variation
It is natural to ask whether we can characterize those functions from interval to that can be written as a difference of two increasing functions. One such characterization involves studying variation of function across the subintervals of . Here are … Continue reading
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Euler Summation Formula
I was recently asked to prove Euler Summation Formula in an analysis homework. I guess the goal of the exercise was to get familiar with manipulating integrals. It turns out that Euler Summation Formula has an application in analytic number … Continue reading