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is it a way to make a function smooth?

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1 
 Can you be a bit more specific? Without a bit more context the average MO user won't even understand the question? – Robin Chapman May 29 2010 at 11:30
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 Meaningless without context. Perhaps it means refining the scale $x^a$ into the finer scale $x^a (\log x)^b$ . – Gerald Edgar May 29 2010 at 11:59
Closed. The comments above should explain why. – Harald Hanche-Olsen May 29 2010 at 13:56
Based on the tags, I'll bet this is referring to logarithmic corrections in the renormalization group in physics. If that's so, the answer to the question in the "body" of the question is no, the logarithmic corrections are also singular, and I refer you to any modern book on renormalization or QFT (e.g. Cardy or Peskin and Schroeder) for more details. – jc May 29 2010 at 17:09
That said, I wholeheartedly agree with Robin Chapman and Gerald Edgar above and encourage charles49 to edit the question for clarity and background. Please read mathoverflow.net/howtoask – jc May 29 2010 at 17:16

closed as not a real question by Robin Chapman, Gerald Edgar, José Figueroa-O'Farrill, François G. Dorais♦, Harald Hanche-Olsen May 29 2010 at 13:55

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