File:Conditional expectation commutative diagram.png

A commutative diagram for David Benbennick made the diagram today, February 4, 2005. To make this image, I started with the following TeX file, diag.tex:

%&latex \documentclass{article} \usepackage[matrix,arrow,ps]{xy} \UsePSspecials{dvips} \pagestyle{empty} \begin{document} \[ \xymatrix{ & \mathbf{R} \\ \Omega \ar@{->}[ur]^X \ar@{->}[r]_Y & U \ar@{-->}[u]_{\mathrm{E}(X\mid Y)} } \] \end{document}

I ran the commands tex diag dvips -mode ljfzzz -D 1200 diag -o convert -density 1200 -chop 4502x2515 -chop 99999x99999+1177+799 diag.ps diag.png pngcrush -reduce -brute -l 9 diag.png diag.crush.png The final output file was diag.crush.png.