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 [...]
November 2, 2009
• Tags: analytic, balki, complex, contour, differential, equation, integral, math, power series, rubel • Posted in: Dileep's • One Comment
Quine’s letter
Willard Van Orman Quine was a mathematician and philosopher at Harvard known, apparently, for his wit, charm, and openness of mind. In Quine’s obituary, Morton White (a Professor Emeritus at the Institute of Advanced Study, Princeton) tells of the time when he (White) moved from Cambridge to Princeton, and his son Steve was missing multiplication [...]