# LaTeX2HTML 95 (Thu Jan 19 1995)
# Associate image original text (scrambled) with physical files.

$key = q/{}smiley{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img78.gif" HEIGHT=16 WIDTH=14>'; 
$key = q/{}IMG_inline$xymatrix@1@=0pt@!A;SPM_amp;BC;SPM_amp;D$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img66.gif" HEIGHT=38 WIDTH=35>'; 
$key = q/{displaymath}xymatrixUar@_[ddr]_yar@^[drr]^xar@.;SPM_gt;[dr]|-(x,y);SPM_amp;Xtimes_ZYar[d]^qar[r]_p;SPM_amp;Xar[d]_f;SPM_amp;Yar[r]^g;SPM_amp;Z{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img2.gif" HEIGHT=130 WIDTH=178>'; 
$key = q/{displaymath}xymatrixAar[r]^a=;SPM_quot;a;SPM_quot;;SPM_amp;Bar[r]^b=;SPM_quot;b;SPM_quot;;SPM_amp;Car@^;SPM_quot;a;SPM_quot;;;SPM_quot;b;SPM_quot;{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img69.gif" HEIGHT=24 WIDTH=132>'; 
$key = q/{displaymath}IMGDEFa#1*hboxDEFnext#1ttcodeofnext;SPM_amp;Aar#1[rr];SPM_amp;;SPM_amp;Bxymatrix@R-1.8pc@C-1pca@-;SPM_gt;a@^-;SPM_gt;a@_-;SPM_gt;a@2-;SPM_gt;a@3-;SPM_gt;{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img40.gif" HEIGHT=110 WIDTH=154>'; 
$key = q/{}IMGVersionxyversion,printdatexydate{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img1.gif" HEIGHT=15 WIDTH=222>'; 
$key = q/{_inline}$t_2${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img28.gif" HEIGHT=20 WIDTH=11>'; 
$key = q/{displaymath}xymatrixAar[d]_far[r]^f;SPM_amp;Bar[dl]|i_Bar[d]^gBar[r]_g;SPM_amp;C{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img15.gif" HEIGHT=86 WIDTH=91>'; 
$key = q/{}xyversion{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img79.gif" HEIGHT=12 WIDTH=19>'; 
$key = q/{displaymath}xymatrix1,1;SPM_amp;1,2;SPM_amp;1,3;SPM_amp;1,4;SPM_amp;1,52,1;SPM_amp;2,2;SPM_amp;2,3;SPM_amp;2,4;SPM_amp;2,5save;SPM_quot;1,2;SPM_quot;.;SPM_quot;2,4;SPM_quot;*[F.]frmar;SPM_quot;1,1;SPM_quot;ar;SPM_quot;2,1;SPM_quot;ar;SPM_quot;1,5;SPM_quot;ar;SPM_quot;2,5;SPM_quot;restore{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img70.gif" HEIGHT=85 WIDTH=304>'; 
$key = q/{_inline}$t_1${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img27.gif" HEIGHT=20 WIDTH=10>'; 
$key = q/{displaymath}xy*+[F-]txtXy-pic:GraphsandDiagramswithTeXcopyright~1991-1995KristofferH.Rosecopyright~1994-1995RossMoorehglue2.75emhglue1bpxy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img73.gif" HEIGHT=60 WIDTH=287>'; 
$key = q/{displaymath}IMGDEFcorner#1POS;SPM_quot;box;SPM_quot;+0;;SPM_quot;box;SPM_quot;+#1**@-?;SPM_gt;*@;SPM_gt;+1pc*hboxtt#1xy0.(-11,-6).(11,6)!C=;SPM_quot;box;SPM_quot;*frm.,;SPM_quot;box;SPM_quot;;;SPM_quot;box;SPM_quot;+L**@.,;SPM_quot;box;SPM_quot;+R**@.,;SPM_quot;box;SPM_quot;+D**@.,;SPM_quot;box;SPM_quot;+U**@.cornerLcornerRcornerDcornerUcornerDLcornerDRcornerULcornerURxy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img54.gif" HEIGHT=103 WIDTH=151>'; 
$key = q/{_inline}$D_x,D_y${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img53.gif" HEIGHT=23 WIDTH=47>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]|f;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img12.gif" HEIGHT=14 WIDTH=72>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]^(.3)+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img25.gif" HEIGHT=17 WIDTH=72>'; 
$key = q/{displaymath}%IMGxyr2pc:=;SPM_quot;A;SPM_quot;,+(.2,1.5)=;SPM_quot;B;SPM_quot;,;SPM_quot;A;SPM_quot;,xypolygon6~:(1,-.1):(0,.33)::~;SPM_lt;;SPM_gt;;;SPM_quot;B;SPM_quot;**@-~*xypolynodexyqquadxyr2pc:xypolygon4;SPM_quot;A;SPM_quot;~:(0,.7)::,+(.7,1.1),xypolygon4;SPM_quot;B;SPM_quot;~:(.8,0):(0,.75)::,;SPM_quot;A1;SPM_quot;;;SPM_quot;B1;SPM_quot;**@.,;SPM_quot;A2;SPM_quot;;;SPM_quot;B2;SPM_quot;**@.,;SPM_quot;A3;SPM_quot;;;SPM_quot;B3;SPM_quot;**@.,;SPM_quot;A4;SPM_quot;;;SPM_quot;B4;SPM_quot;**@.xyqquadxyr2pc:xypolygon3;SPM_quot;A;SPM_quot;~:(0,.7)::,+(.7,1.1),xypolygon3;SPM_quot;B;SPM_quot;~:(-.85,0):(-.15,.8)::,;SPM_quot;A1;SPM_quot;PATH~**@.';SPM_quot;B2;SPM_quot;';SPM_quot;A3;SPM_quot;';SPM_quot;B1;SPM_quot;';SPM_quot;A2;SPM_quot;';SPM_quot;B3;SPM_quot;';SPM_quot;A1;SPM_quot;xy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img83.gif" HEIGHT=78 WIDTH=314>'; 
$key = q/{}IMG_inline$xymatrix@1AtimesBtimesCtimesDar[r]^+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img10.gif" HEIGHT=18 WIDTH=169>'; 
$key = q/{}IMG_inline$xymatrix@1Xar[r]^a_b;SPM_amp;Y;SPM_amp;Zar[l]^A_B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img8.gif" HEIGHT=26 WIDTH=135>'; 
$key = q/{displaymath}%IMGUseComputerModernTipsxygraph!~:@-|@;SPM_gt;w(:[r]x,:[d]z:[r]y:;SPM_quot;x;SPM_quot;:@_;SPM_quot;z;SPM_quot;:@(l,d);SPM_quot;z;SPM_quot;:@_;SPM_quot;x;SPM_quot;){displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img80.gif" HEIGHT=87 WIDTH=94>'; 
$key = q/{displaymath}%IMGxy*xybox0;;SPM_lt;1.5pc,1.28mm;SPM_gt;:;SPM_lt;.41pc,1.12pc;SPM_gt;::,0,croplattice-35-55-1.34.5-3.44.4=;SPM_quot;L;SPM_quot;,;SPM_quot;L;SPM_quot;+Lar;SPM_quot;L;SPM_quot;+!R*+!Lsigma^(1),;SPM_quot;L;SPM_quot;+Dar;SPM_quot;L;SPM_quot;+!U*+!Dsigma^(2)xy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img84.gif" HEIGHT=186 WIDTH=197>'; 
$key = q/{}IMGDEFDT#1#DTx#1DEFDTx#1#2Dx#1#2;SPM_amp;xy-(4,0)*;(4,2)*+**?;SPM_gt;*@#1#2**@#1.xyDEFDx#1#2hboxDEF1#1#2enspacettcodeof1indexcode#1#2DEFDarray#1let=crtabskip=0ptplus1fil%haligntohsize;SPM_amp;hfil_inline$##$_inlinetabskip=1em;SPM_amp;_inline$##$_inlinehfiltabskip=1emplus1filcr#1crcrbigskipDarray%DT|-;SPM_amp;DT^|-;SPM_amp;DT_|-;SPM_amp;;SPM_amp;DT|=;SPM_amp;DT3|-DT*;SPM_amp;DT^`;SPM_amp;DT_`;SPM_amp;;SPM_amp;DT^';SPM_amp;DT_'%{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img42.gif" HEIGHT=75 WIDTH=342>'; 
$key = q/{}IMGxy*[F-]hboxstrut~frame~xy{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img32.gif" HEIGHT=20 WIDTH=51>'; 
$key = q/{displaymath}xymatrixcircar`r[d]^a`[rr]^b`4pt[rr]^c`[rrr]^d`_dl[drrr]^e[drrr]^f;SPM_amp;circ;SPM_amp;circ;SPM_amp;circcirc;SPM_amp;circ;SPM_amp;circ;SPM_amp;circ{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img60.gif" HEIGHT=67 WIDTH=216>'; 
$key = q/{displaymath}xymatrixAar@*composite+*times[rr]^*+txtHighlabel;SPM_amp;;SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img37.gif" HEIGHT=44 WIDTH=119>'; 
$key = q/{_inline}$<verb_mark>61<verb_mark>d_1<verb_mark>62<verb_mark>d_2<verb_mark>63<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img18.gif" HEIGHT=24 WIDTH=60>'; 
$key = q/{displaymath}xymatrixAar@;SPM_lt;1ex;SPM_gt;[dr]^a_.;SPM_amp;Bar@;SPM_lt;1ex;SPM_gt;[ul]^bar@;SPM_lt;1ex;SPM_gt;[r]^c;SPM_amp;Car@;SPM_lt;1ex;SPM_gt;[l]^d_.{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img44.gif" HEIGHT=84 WIDTH=132>'; 
$key = q/{_inline}$<verb_mark>179<verb_mark>r<verb_mark>180<verb_mark>c<verb_mark>181<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img46.gif" HEIGHT=24 WIDTH=33>'; 
$key = q/{displaymath}%IMGxy0;r5pc:*@*=;SPM_quot;p;SPM_quot;,*+!DRp;p+(.5,-.5)*@*=;SPM_quot;c;SPM_quot;,*+!ULc**@-,;SPM_quot;c;SPM_quot;,ellipse;SPM_lt;15pt;SPM_gt;_,=:a(45)=,ellipse;SPM_lt;;SPM_gt;__,=:a(30)-,ellipse(1,.4).,ellipse(1,.4)_,=:a(120)--,ellipse(,.75).,ellipse(,.75)_,^,^-xy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img85.gif" HEIGHT=128 WIDTH=189>'; 
$key = q/{}IMGDEFDT#1#DTx#1DEFDTx#1#2Dx#1#2;SPM_amp;xy-(4,0)*;(4,2)*+**?;SPM_gt;*@#1#2**@#1.xyDEFDx#1#2hboxDEF1#2enspacettcodeof1indexcode#2DEFDarray#1let=crtabskip=2emplus1fil%haligntohsize;SPM_amp;hfil_inline$##$_inlinetabskip=1em;SPM_amp;_inline$##$_inlinehfiltabskip=2emplus1filcr#1crcr%Darray%DT;SPM_lt;;SPM_amp;DT;SPM_gt;;SPM_amp;DTxDT;SPM_lt;;SPM_lt;;SPM_amp;DT;SPM_gt;;SPM_gt;;SPM_amp;DT+DT|;SPM_lt;;SPM_amp;DT;SPM_gt;|;SPM_amp;DT|DT|;SPM_lt;;SPM_lt;;SPM_amp;DT;SPM_gt;;SPM_gt;|;SPM_amp;DT||DT(;SPM_amp;DT);SPM_amp;DToDT;SPM_amp;DT{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img38.gif" HEIGHT=109 WIDTH=309>'; 
$key = q/{displaymath}xymatrixAar[r]^*+[o][F-]x;SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img36.gif" HEIGHT=28 WIDTH=85>'; 
$key = q/{displaymath}%xymatrixg1Aar[r];SPM_amp;Bar[d];SPM_amp;g2A'ar[r];SPM_amp;B'ar[d]Car[u];SPM_amp;Dar[l];SPM_amp;C'ar[u];SPM_amp;D'ar[l]ar@.;SPM_gt;;SPM_quot;g1;SPM_quot;;;SPM_quot;1,4;SPM_quot;ar@--;SPM_gt;;SPM_quot;2,1;SPM_quot;;;SPM_quot;g2;SPM_quot;{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img71.gif" HEIGHT=82 WIDTH=215>'; 
$key = q/{displaymath}xymatrixA;SPM_amp;*+[F]sum_i=n^mi^2;SPM_amp;bullet;SPM_amp;Dar[ul]{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img4.gif" HEIGHT=82 WIDTH=175>'; 
$key = q/{displaymath}xymatrixAar@^[r]ar@^@;SPM_lt;-1ex;SPM_gt;[r];SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img45.gif" HEIGHT=17 WIDTH=85>'; 
$key = q/{displaymath}xymatrixar@[dr]|=Aar[d]ar[r];SPM_amp;Bar[d]Bar[r];SPM_amp;C{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img14.gif" HEIGHT=71 WIDTH=86>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]|hole;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img13.gif" HEIGHT=12 WIDTH=72>'; 
$key = q/{displaymath}IMGDEFst#1hboxlower1exrlapkern1pc%xy*+r2ptar@#1,;SPM_lt;1pc,-1.8pc;SPM_gt;*xy|@#1|st.;SPM_gt;~st=;SPM_gt;~st--;SPM_gt;~st==;SPM_gt;~st-~st.~st=~st{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img5.gif" HEIGHT=53 WIDTH=345>'; 
$key = q/{displaymath}xymatrixAB;SPM_amp;Car@;SPM_lt;1ex;SPM_gt;[ul]ar@;SPM_lt;1ex;SPM_gt;[ul];[]{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img51.gif" HEIGHT=71 WIDTH=86>'; 
$key = q/{displaymath}xymatrix@!;SPM_amp;lambdaomegaar@-[rr]ar@-'[d][dd];SPM_amp;;SPM_amp;lambdaCar@-[dd]lambda2ar@-[ur]ar@-[rr]ar@-[dd];SPM_amp;;SPM_amp;lambdaP2ar@-[ur]ar@-[dd];SPM_amp;lambdaar@-omegaar@-'[r][rr];SPM_amp;;SPM_amp;lambdaPunderlineomegalambdatoar@-[rr]ar@-[ur];SPM_amp;;SPM_amp;lambdaPar@-[ur]{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img58.gif" HEIGHT=198 WIDTH=268>'; 
$key = q/{displaymath}newdir|;SPM_gt;!4.5pt@|*:(1,-.2)@^;SPM_gt;*:(1,+.2)@_;SPM_gt;xymatrixAar@=|;SPM_gt;[r];SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img61.gif" HEIGHT=12 WIDTH=85>'; 
$key = q/{}IMGDEFDC#1#DCx#1DEFDCx#1#2Dx#1#2;SPM_amp;xy*+;(12,4)*+**@#1#2xyDEFDx#1#2hboxDEF1#2enspacettcodeof1indexcode#2DEFDarray#1let=crtabskip=2emplus1fil%haligntohsize;SPM_amp;hfil_inline$##$_inlinetabskip=1em;SPM_amp;_inline$##$_inlinehfiltabskip=2emplus1fil#1crcrDarray%DC-;SPM_amp;DC--DC~;SPM_amp;DC~~DC.%{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img39.gif" HEIGHT=75 WIDTH=241>'; 
$key = q/{_inline}$t'${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img49.gif" HEIGHT=12 WIDTH=8>'; 
$key = q/{_inline}$<verb_mark>303<verb_mark>t_1<verb_mark>304<verb_mark>t_2<verb_mark>305<verb_mark>x<verb_mark>306<verb_mark>y<verb_mark>307<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img76.gif" HEIGHT=24 WIDTH=100>'; 
$key = q/{displaymath}entrymodifiers=++[o][F-]UseComputerModernTipsxymatrix@-1pc*txtstartar[r];SPM_amp;0ar@(r,u)[]^bar[r]_a;SPM_amp;1ar[r]^bar@(r,d)[]_a;SPM_amp;2ar[r]^bar`dr_l[l]`_ur[l]_a[l];SPM_amp;*++[o][F=]3ar`ur^l[lll]`^dr[lll]^b[lll]ar`dr_l[ll]`_ur[ll][ll]{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img68.gif" HEIGHT=75 WIDTH=219>'; 
$key = q/{_inline}$bullet${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img7.gif" HEIGHT=6 WIDTH=6>'; 
$key = q/{}IMGxy*[F.]hboxstrut~dotted~xy{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img34.gif" HEIGHT=20 WIDTH=56>'; 
$key = q/{}IMG_inline$xymatrix@1AtimesBtimesCtimesDar[r]^-+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img9.gif" HEIGHT=18 WIDTH=169>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]^;SPM_gt;;SPM_gt;+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img23.gif" HEIGHT=17 WIDTH=72>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]^;SPM_lt;(0)+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img26.gif" HEIGHT=17 WIDTH=72>'; 
$key = q/{displaymath}xymatrixcircar@|--;SPM_gt;'[dr]^a'[rr]+D*bullet^b[drrr]^c;SPM_amp;circ;SPM_amp;circ;SPM_amp;circcirc;SPM_amp;circ;SPM_amp;circ;SPM_amp;circ{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img57.gif" HEIGHT=60 WIDTH=173>'; 
$key = q/{}IMGxy*[F=]hboxstrut~double~xy{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img33.gif" HEIGHT=20 WIDTH=58>'; 
$key = q/{displaymath}xymatrix1ar[rr]^-1000000xar[dr]_(.2)2000x|![d];[rr]hole;SPM_amp;;SPM_amp;10000001000ar[r]_2xar[urr]_;SPM_gt;;SPM_gt;x^2;SPM_amp;2000{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img31.gif" HEIGHT=83 WIDTH=215>'; 
$key = q/{displaymath}xymatrixAar@-[dr];SPM_amp;save[]+;SPM_lt;3cm,0cm;SPM_gt;*txt;SPM_lt;8pc;SPM_gt;%Thisisaverybigcommentarybutitdoesnototherwiseaffectthediagram.ar[l]ar[d]restore;SPM_amp;Bar@-[r];SPM_amp;Car@-[r];SPM_amp;D{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img65.gif" HEIGHT=99 WIDTH=267>'; 
$key = q/{displaymath}IMGDEFa#1*hboxDEF1#1enspacettcodeof1indexcode#1;SPM_amp;Aar#1[r];SPM_amp;Bxymatrix@R-1.4pca@^a@_a@_1pc{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img16.gif" HEIGHT=94 WIDTH=172>'; 
$key = q/{displaymath}xymatrixAar@^@^;SPM_lt;-_;SPM_gt;[r]ar@_@*x*[r];SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img43.gif" HEIGHT=24 WIDTH=85>'; 
$key = q/{displaymath}%IMGUseComputerModernTipsvtopvboxxygraph!0;r1.5pc:,0!vover[u]!hcap[-2];SPM_lt;;SPM_lt;[d]!vover-[ruu]!hcap[2];SPM_gt;;SPM_lt;smallskiphboxqquadsmallsimplelinkhfil%vtopvboxxygraph!0;r1.5pc:[u]!vloop;SPM_lt;(-.005)khole||vcrossnegvunder-[]!ar@-@'p-(1,0)@++(-1,1)[ul]!vcap[3];SPM_gt;khole[rrr]!ar@-@'p-(0,1)@+-(1,1)smallskiphboxsmallfigure-8knotquadhfil%vtopvboxxygraph!0;r1.25pc:!P5;SPM_quot;a;SPM_quot;~;SPM_gt;!P10;SPM_quot;b;SPM_quot;~:(1.7487,0):~;SPM_gt;!P20;SPM_quot;c;SPM_quot;~=-9~:(2.2,0):~;SPM_gt;!xunderv~;SPM_quot;b3;SPM_quot;;SPM_quot;b2;SPM_quot;;SPM_quot;a2;SPM_quot;;SPM_quot;a1;SPM_quot;!xunderv~;SPM_quot;b5;SPM_quot;;SPM_quot;b4;SPM_quot;;SPM_quot;a3;SPM_quot;;SPM_quot;a2;SPM_quot;!xunderv~;SPM_quot;b7;SPM_quot;;SPM_quot;b6;SPM_quot;;SPM_quot;a4;SPM_quot;;SPM_quot;a3;SPM_quot;!xunderv~;SPM_quot;b9;SPM_quot;;SPM_quot;b8;SPM_quot;;SPM_quot;a5;SPM_quot;;SPM_quot;a4;SPM_quot;!xunderv~;SPM_quot;b1;SPM_quot;;SPM_quot;b10;SPM_quot;;SPM_quot;a1;SPM_quot;;SPM_quot;a5;SPM_quot;!vloop~;SPM_quot;c3;SPM_quot;;SPM_quot;c2;SPM_quot;;SPM_quot;b2;SPM_quot;;SPM_quot;b1;SPM_quot;;SPM_lt;;SPM_lt;!vloop~;SPM_quot;c7;SPM_quot;;SPM_quot;c6;SPM_quot;;SPM_quot;b4;SPM_quot;;SPM_quot;b3;SPM_quot;;SPM_lt;;SPM_lt;!vloop~;SPM_quot;c11;SPM_quot;;SPM_quot;c10;SPM_quot;;SPM_quot;b6;SPM_quot;;SPM_quot;b5;SPM_quot;;SPM_lt;;SPM_lt;!vloop~;SPM_quot;c15;SPM_quot;;SPM_quot;c14;SPM_quot;;SPM_quot;b8;SPM_quot;;SPM_quot;b7;SPM_quot;;SPM_lt;;SPM_lt;!vloop~;SPM_quot;c19;SPM_quot;;SPM_quot;c18;SPM_quot;;SPM_quot;b10;SPM_quot;;SPM_quot;b9;SPM_quot;;SPM_lt;;SPM_lt;smallskiphboxquadsmallcinquefoil{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img81.gif" HEIGHT=135 WIDTH=324>'; 
$key = q/{_inline}$d,t${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img59.gif" HEIGHT=11 WIDTH=16>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]^;SPM_gt;+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img22.gif" HEIGHT=17 WIDTH=72>'; 
$key = q/{displaymath}xymatrixbulletar@--[d]ar@=[dr]ar@-[r];SPM_amp;bulletar@.[d]bullet;SPM_amp;bulletar[l]{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img6.gif" HEIGHT=61 WIDTH=81>'; 
$key = q/{_inline}$t'<verb_mark>193<verb_mark>t${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img48.gif" HEIGHT=26 WIDTH=23>'; 
$key = q/{displaymath}xymatrixAar[r]^far[dr]_f;g;SPM_amp;Bar[d]^gar[dr]^g;h;SPM_amp;Car[r]_h;SPM_amp;D{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img11.gif" HEIGHT=86 WIDTH=133>'; 
$key = q/{_inline}$<verb_mark>91<verb_mark>a<verb_mark>92<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img24.gif" HEIGHT=24 WIDTH=20>'; 
$key = q/{_inline}$<verb_mark>64<verb_mark>d_2<verb_mark>65<verb_mark>d_1<verb_mark>66<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img19.gif" HEIGHT=24 WIDTH=60>'; 
$key = q/{_inline}$<verb_mark>189<verb_mark>r<verb_mark>190<verb_mark>c<verb_mark>191<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img47.gif" HEIGHT=22 WIDTH=36>'; 
$key = q/{displaymath}newdir;SPM_gt;*!-5ptdir;SPM_gt;xymatrixAar@;SPM_gt;-;SPM_gt;@;SPM_lt;2pt;SPM_gt;[r]ar@;SPM_gt;-;SPM_gt;@;SPM_lt;-2pt;SPM_gt;[r];SPM_amp;B{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img62.gif" HEIGHT=12 WIDTH=85>'; 
$key = q/{displaymath}xymatrixxar@(ul,dl)[]|idar@^[rr]|f;SPM_amp;;SPM_amp;f(x)ar@^[ll]|f^-1{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img20.gif" HEIGHT=32 WIDTH=166>'; 
$key = q/{displaymath}xy*=;SPM_lt;2pc;SPM_gt;[o][F]=;SPM_quot;c;SPM_quot;,;SPM_quot;c;SPM_quot;;(-1,-1)**,p+3pc*+|dl|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(0,-1)**,p+3pc*+|d|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(1,-1)**,p+3pc*+|dr|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(1,0)**,p+3pc*+|r|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(1,1)**,p+3pc*+|ur|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(0,1)**,p+3pc*+|u|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(-1,1)**,p+3pc*+|ul|**@-?;SPM_gt;*@;SPM_gt;,;SPM_quot;c;SPM_quot;;(-1,0)**,p+3pc*+|l|**@-?;SPM_gt;*@;SPM_gt;xy{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img17.gif" HEIGHT=123 WIDTH=121>'; 
$key = q/{_inline}$t_1<verb_mark>299<verb_mark>t_2<verb_mark>300<verb_mark>x<verb_mark>301<verb_mark>y<verb_mark>302<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img75.gif" HEIGHT=24 WIDTH=82>'; 
$key = q/{displaymath}xymatrix*txtAverylongandstupidprogramar[rr]^-txtweirdarrow;SPM_amp;;SPM_amp;*txt;SPM_lt;2pc;SPM_gt;Com-pli-catedCode{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img64.gif" HEIGHT=66 WIDTH=284>'; 
$key = q/{displaymath}IMGDEFa#1*hboxDEFnext#1ttcodeofnext;SPM_amp;Aar#1[r];SPM_amp;Bxymatrix@R-1.8pca@^(-;SPM_gt;a@|-_;SPM_gt;{displaymath}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img41.gif" HEIGHT=39 WIDTH=189>'; 
$key = q/{_inline}$<verb_mark>200<verb_mark>D_x<verb_mark>201<verb_mark>D_y<verb_mark>202<verb_mark>${_inline}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img52.gif" HEIGHT=23 WIDTH=65>'; 
$key = q/{}IMG_inline$xymatrix@1Aar[r]^;SPM_lt;+;SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img21.gif" HEIGHT=17 WIDTH=72>'; 
$key = q/{}IMG_inline$left(DEFobjectstylescriptstyleDEFlabelstylescriptstylevcenterxymatrix@-1.2pc@urAar[r]^a;SPM_amp;Bar[d]^bA'ar[u]^a';SPM_amp;B'ar[l]^b'right)$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img67.gif" HEIGHT=76 WIDTH=98>'; 
$key = q/{}IMG_inline$UseComputerModernTipsxymatrix@1Aar@-;SPM_gt;;SPM_gt;|[r];SPM_amp;B$_inline{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img63.gif" HEIGHT=12 WIDTH=72>'; 
$key = q/{}IMGxy*[F-]hboxstrut~dashed~xy{}/;
$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img35.gif" HEIGHT=20 WIDTH=60>'; 

1;

