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Talk:Singular function

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This is an old revision of this page, as edited by Michael Hardy (talk | contribs) at 23:34, 7 November 2006. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

This statement about it's properties doesn't seem to make any sense to me: "there exists a set N of measure 0 such that for all x outside of N the derivative f ′(x) exists and is zero." Does this just contain grammatical errors and lack of meaningful punctuations, or am I missing something? --MattWatt 23:23, 7 November 2006 (UTC)[reply]

Seems grammatical and perfectly clear to me. And phrased just the way I would expect something like that to be phrased, quite prosaically. Specifically where do you have a problem with it? Michael Hardy 23:25, 7 November 2006 (UTC)[reply]
Let's try it more long-windedly:
There is a certain subset N of the domain of f with the following properties:
  • The measure of N is 0,
  • If x is any number in the domain of f and x is not in N, then f′(x) = 0.
Michael Hardy 23:29, 7 November 2006 (UTC)[reply]