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I'm looking for the lowercase script r shown below (used here to denote the rank of a matrix). Does anyone know how to reproduce it?

enter image description here

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is there a reason that the r in the \sigma_{r+1} in line 5 is an ordinary italic r, and doesn't match the script r earlier in the equation? as outlandish as it may seem, this sample appears to have been created by tex -- the shapes of the sigmas and deltas are a giveaway. that leaves open the possibility of asking the author where the script r came from. –  barbara beeton Jul 10 '11 at 13:32

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up vote 4 down vote accepted

\mathscr{r} would be a quick way. To find a script r, which matches your sample best, have a look at these sources regarding script fonts:

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