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Archive for November, 2009

Analyticity Matters

Ever since KVM posted his dissection of Rubel’s UDE paper, I’ve been wanting to address this issue he raised:
I’m still amazed and can’t quite fully digest the fact that a perfectly smooth function can be non-analytic. I mean, consider the exp(-1/x) function. If you stand at the origin, you have no clue what happens as [...]