Timeline for Nonexistence of boundary between convergent and divergent series?
Current License: CC BY-SA 3.0
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| Nov 11, 2019 at 21:38 | comment | added | David Spector | I find this very satisfying, implying that the gap between convergence and divergence is not really so subtle as it might at first seem: it is actually infinitely wide in some sense, although not calculably so (reminding me of the Halting Problem, which is also not calculable). I wonder whether this "slowest rate of decay" concept can also be applied in some way to the boundary of the Mandelbrot set and other such infinitely and not trivially self-similar shapes: that is, that it is not possible to calculate what such a set will look like except to approximately construct it. | |
| Jun 3, 2013 at 21:59 | history | answered | Mustafa Said | CC BY-SA 3.0 |