Date: 2013-02-05 01:08 am (UTC)From: [personal profile] winterkoninkje
winterkoninkje: shadowcrane (clean) (Default)
I'm not sure that discontinuity at zero (or infinity, or whatever limit) is something that shouldn't be alarming. Ruling out such discontinuities is a common requirement for various things I've seen. But even if we allow it, that doesn't really answer my quandary. I'm not (at the moment) worried about how to define integration; I'm worried about why we even need the notion at all. What is it that forces us away from just doing a simple summation?
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