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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal>I want combine diagram of mappings with some notes in one equations. The code<o:p></o:p></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\[<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\begin{matrix}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\xymatrix<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>{<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\ShowSymbol{affine space, division ring}:<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>D\ar[r]|{*}^{f_{1,2}}&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\Vector V\ar[r]|{*}^{f_{2,3}}&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\Vcirc<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\begin{array}{r@{\,}l}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>f_{1,2}(d):&\Vector v\rightarrow d\ \Vector v<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\\<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>f_{2,3}(\Vector v):&A\rightarrow A+\Vector v<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\end{array}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\end{matrix}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\]<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'><o:p> </o:p></span></p><p class=MsoNormal>creates very good image. However code<o:p></o:p></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\[<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\begin{matrix}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\xymatrix<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>{<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>D\ar[r]|(.4){*}^{f_{1,2}}&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>A\ar[r]|{*}^{f_{2,3}}&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>A<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\\<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>&&D\ar[u]|{*}_{f_{1,2}}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>&<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\begin{array}{r@{\,}l}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>f_{1,2}(d):&v\rightarrow d\,v<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\\<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>f_{2,3}(v):&w\rightarrow g(v, w)<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\\<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>g&\in\mathcal L(A^2;A)<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\end{array}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\end{matrix}<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'>\]<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:Consolas'><o:p> </o:p></span></p><p class=MsoNormal>has extra line before diagram. The picture looks little shifted. I will appreciate any idea to improve image.<o:p></o:p></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:Consolas;color:#1F497D'>Aleks Kleyn<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:Consolas;color:#1F497D'><a href="http://sites.google.com/site/alekskleyn/"><span style='color:blue'>http://sites.google.com/site/AleksKleyn/</span></a> <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:Consolas;color:#1F497D'><a href="http://arxiv.org/a/kleyn_a_1"><span style='color:blue'>http://arxiv.org/a/kleyn_a_1</span></a> <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:10.5pt;font-family:Consolas;color:#1F497D'><a href="http://AleksKleyn.blogspot.com/"><span style='color:blue'>http://AleksKleyn.blogspot.com/</span></a></span><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>