deletions | additions       diff --git a/newcommand_reals_mathbb_R_newcommand__.tex b/newcommand_reals_mathbb_R_newcommand__.tex  index c747d2e..8639e32 100644  --- a/newcommand_reals_mathbb_R_newcommand__.tex  +++ b/newcommand_reals_mathbb_R_newcommand__.tex 
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\end{eqnarray}  \pragraph{Example 5.} Suppose $f : \complex^n \to \complex^m$ and $x \in \intr \dom f$.  It follows that if  \begin{equation}  f(x_1,\ldots,x_n) f(x)  = \left[ \begin{array}{c}  f_1(x_1,\ldots,x_n) \\ \vdots \\ f_m(x_1,\ldots,x_n)  \end{array} \right] \nonumber  \end{equation}