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Hi, your work is very much appreciated! Thanks very much!
May I give some hints? You can use tex macros via \def or \newcommand. Hence a prelininary entry $\def\Pf{\mathrm{Pf}\;}$ will allow you to write $\Pf$ instead of $\mathrm{Pf}\;}$ through the rest of the file, saving you some further typing. Also, if a wedge is used as a binary operator, \wedge is prefered over \bigwedge, so that the two displayed formulas would look like $\def\Pf{\mathrm{Pf}\;}$ $$u = \sum_{i < j} x_{ij} e_i \wedge e_j \in \bigwedge^2 A,$$ and $$\bigwedge^n u =n! (\Pf X) e_1 \wedge \ldots \wedge e_{2n}.$$ I know that the "original" png formulas look different, but the style above is more standard.--Ulf Rehmann 18:08, 25 January 2012 (CET)

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Pfaffian. Encyclopedia of Mathematics. URL: