I would bet a lot that if you take all the zeroes out of 2^(1/2) in base ten, you get a transcendental number. Do you have some reason to expect otherwise? In general, I'd expect the results of global digit-editing on an irrational number to be transcendental, with a very few special-case exceptions. For instance, express phi in binary and then retain only the even-indexed bits; change every 1 to a 6 in the base-5 expansion of Conway's "audioactive" constant; aso. asf. On Wed, Dec 5, 2018 at 12:10 PM Mike Speciner <ms@alum.mit.edu> wrote:
If you remove all occurrences of some finite sequence of digits from a transcendental number it may or may not still be transcendental. But can you turn an algebraic number into a transcendental by removing all occurrences of some finite sequence of digits?
On 05-Dec-18 11:56, James Propp wrote:
Well, inasmuch as my use of the term "dorks" applies not just to all humans but also to the advanced space-faring extraterrestrials the humans in "Contact" encounter, I don't think anyone reading my email should take offense. :-)
Jim Propp
On Wed, Dec 5, 2018 at 10:47 AM Tom Duff <td@pixar.com> wrote:
On Wed, Dec 5, 2018 at 6:10 AM James Propp <jamespropp@gmail.com> wrote:
I like Keith’s idea of a God whose messages are the strings of digits that DON’T appear in pi. That way the messages would only be read by really smart beings and not by dorks with big computers.
Smile when you say that. I'm pretty sure there are at least a few math-fun subscribers who could self-describe as "dorks with big computers". _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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