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:Yes, that seems reasonable. A formal proof wouldn't be too long so I'd say feel free to go ahead. [[User:Olaf Davis|Olaf Davis]] ([[User talk:Olaf Davis|talk]]) 17:17, 7 October 2009 (UTC)
A more formal proof of continuity on the irrational numbers, would be essential for the article to be considered quality. Possible sources:
See the last few pages of [http://faculty.uml.edu/jpropp/305/10.30.doc Excellent proof] for proofs of continuity on the irrationals and discontinuity on the rational numbers.
[http://www.math.washington.edu/~morrow/334_10/thomae.pdf Proof with a Mistake] is easier to follow
but needs to be rearranged. It defines m, then later assumes a property about m.
A better ordering starts,
:Let epsilon > 0, Let m be an integer such that, 1/m < epsilon.
The next step would be to investigate copyright issues for these proofs. Or possibly rewrite them to avoid copyright issues.
--[[User:Nickalh50|Nickalh50]] ([[User talk:Nickalh50|talk]]) 19:41, 14 March 2011 (UTC)
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