A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.
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This is a science community. We use the Dawkins definition of meme.
Analyticity means the function locally behaves like (infinite-degree) polynomial. I'd say, it's not strange that infinitely differentiable functions are not necessarily analytic - polynomials are quite restrictive, after all.
Well, over complex plane, differentiability = infinite differentiability = analyticity, so there's that.
I wonder if I kinda get it because I have some basic background in electronics, or maybe I don't get it at all but I think I do? I haven't done actual math stuff in years