# LaTeX2HTML 98.1p1 release (March 2nd, 1998)
# Associate images original text with physical files.


$key = q/{inline}(alpha,beta,gamma){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|15#15|; 

$key = q/{accent_inline}{helvboABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|127#127|; 

$key = q/{accent_inline}{timebiTimes-BoldItalic}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|114#114|; 

$key = q/{inline}{x_i}_0^n{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|44#44|; 

$key = q/{accent_inline}{courboCourier-BoldOblique}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|138#138|; 

$key = q/{inline}igeq0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|38#38|; 

$key = q/{inline}jgeq0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|39#39|; 

$key = q/{inline}f_alpha,gamma{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|72#72|; 

$key = q/{figure}centerlinepsfigfigure=psslashcontcolor.ps,height=110pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|25#25|; 

$key = q/{accent_inline}{courboabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|140#140|; 

$key = q/{inline}(alpha_0,beta_0,gamma_0){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|16#16|; 

$key = q/{inline}f:real^n+krightarrowreal^n{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|53#53|; 

$key = q/{inline}[-pi,pi]{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|85#85|; 

$key = q/{accent_inline}{courCourier}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|129#129|; 

$key = q/{figure}centerlinepsfigfigure=psslashccode.ps,height=200pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|6#6|; 

$key = q/{figure}centerlinepsfigfigure=psslashorbits.ps,height=185pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|33#33|; 

$key = q/{figure}centerlinepsfigfigure=psslashthreeD.ps,height=107pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|27#27|; 

$key = q/{inline}f:realtoreal{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|22#22|; 

$key = q/{accent_inline}{timebiABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|115#115|; 

$key = q/{accent_inline}{courbabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|137#137|; 

$key = q/{accent_inline}{timeTimes-Roman}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|105#105|; 

$key = q/{accent_inline}{helvoABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|121#121|; 

$key = q/{inline}alpha>0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|74#74|; 

$key = q/{figure}centerlinepsfigfigure=psslashcmd.ps,height=47pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|4#4|; 

$key = q/{inline}(delta_0,gamma_0,omega_0)=(0.25,0.4,1.0){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|91#91|; 

$key = q/{inline}calO(h){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|41#41|; 

$key = q/{figure}centerlinepsfigfigure=psslashprint.ps,height=240pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|20#20|; 

$key = q/{inline}det(Df_x)=0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|55#55|; 

$key = q/{figure}centerlinepsfigfigure=psslashsave.ps,height=143pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|7#7|; 

$key = q/{inline}[0,2pi]{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|80#80|; 

$key = q/{accent_inline}{timebabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|113#113|; 

$key = q/{displaymath}H(u,v)=fracv^22-fracu^22+fracu^44{displaymath}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|88#88|; 

$key = q/{inline}psi=omegatheta{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|98#98|; 

$key = q/{accent_inline}{timeiABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|109#109|; 

$key = q/{accent_inline}{courabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|131#131|; 

$key = q/{figure}vbox{include{index}}{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|141#141|; 

$key = q/{accent_inline}{couroCourier-Oblique}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|132#132|; 

$key = q/{accent_inline}{helvboabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|128#128|; 

$key = q/{inline}0leqkleq2{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|11#11|; 

$key = q/{figure}centerlinepsfigfigure=psslashselected.ps,height=120pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|29#29|; 

$key = q/{accent_inline}{courbCourier-Bold}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|135#135|; 

$key = q/{array}rclphi_j-1&=&phi_j-frac1alpha(gammacosphi_j+v_j),v_j-1&=&frac1alpha(gammacosphi_j+v_j).{array}AAT;/;
$cached_env_img{$key} = q|75#75|; 

$key = q/{inline}3leqkleq5{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|12#12|; 

$key = q/{figure}centerlinepsfigfigure=psslashcontstate.ps,height=76pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|56#56|; 

$key = q/{inline}{x_i}{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|43#43|; 

$key = q/{inline}(u,v,theta)inreal^2timesS^1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|96#96|; 

$key = q/{inline}6leqkleq8{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|13#13|; 

$key = q/{accent_inline}{timeABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|106#106|; 

$key = q/{inline}sin(wt+t_0)=0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|90#90|; 

$key = q/{inline}0leqkleq11{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|10#10|; 

$key = q/{inline}mboxmathbf{circ}{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|34#34|; 

$key = q/{accent_inline}{helvbABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|124#124|; 

$key = q/{inline}4leNle13{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|61#61|; 

$key = q/{inline}phitophi+2npi{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|78#78|; 

$key = q/{figure}centerlinepsfigfigure=psslashprop-vf.ps,height=83pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|35#35|; 

$key = q/{accent_inline}{timebiabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|116#116|; 

$key = q/{inline}0leqkleqN{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|9#9|; 

$key = q/{array}rclphi_j+1&=&phi_j+v_j,v_j+1&=&alphav_j-gammacos(phi_j+v_j).{array}AAT;/;
$cached_env_img{$key} = q|63#63|; 

$key = q/{accent_inline}{helvoabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|122#122|; 

$key = q/{inline}(u,v,psi)inreal^2timesS^1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|100#100|; 

$key = q/{figure}centerlinepsfigfigure=psslashfilesl.ps,height=191pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|19#19|; 

$key = q/{inline}(phi_0,v_0){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|81#81|; 

$key = q/{acknowledgements}WewouldliketothankSwanKimforwritingkaos,theprecursortoDsTool,atthehelpofNicolasVeraandHinkeOsingaattheGeometryCenter.par{acknowledgements}AAT;/;
$cached_env_img{$key} = q|104#104|; 

$key = q/{inline}xinreal^l+1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|52#52|; 

$key = q/{inline}pi{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|83#83|; 

$key = q/{figure}centerlinepsfigfigure=psslashanimation.ps,height=73pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|28#28|; 

$key = q/{accent_inline}{helvoHelvetica-Oblique}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|120#120|; 

$key = q/{figure}centerlinepsfigfigure=psslashfunction.ps,height=65pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|30#30|; 

$key = q/{accent_inline}{helvbHelvetica-Bold}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|123#123|; 

$key = q/{accent_inline}{helvboHelvetica-BoldOblique}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|126#126|; 

$key = q/{inline}sinomegat{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|92#92|; 

$key = q/{accent_inline}{timeiabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|110#110|; 

$key = q/{figure}centerlinepsfigfigure=psslashload.ps,height=154pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|8#8|; 

$key = q/{figure}centerlinepsfigfigure=psslashbuttons.ps,height=58pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|3#3|; 

$key = q/{array}rcldotu&=&v,dotv&=&u-u^3-deltav-gammacosomegatheta,dottheta&=&1,{array}AAT;/;
$cached_env_img{$key} = q|95#95|; 

$key = q/{inline}theta{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|94#94|; 

$key = q/{figure}centerlinepsfigfigure=psslashfixedpoints.ps,height=240pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|46#46|; 

$key = q/{inline}kgeq1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|37#37|; 

$key = q/{figure}centerlinepsfigfigure=psslashoneD.ps,height=359pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|21#21|; 

$key = q/{inline}|rmBezout|=0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|50#50|; 

$key = q/{inline}f=f_alpha,gamma{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|62#62|; 

$key = q/{accent_inline}{timeabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|107#107|; 

$key = q/{accent_inline}{helvbabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|125#125|; 

$key = q/{inline}ldots{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|70#70|; 

$key = q/{inline}psi{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|101#101|; 

$key = q/{inline}2pislashomega{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|89#89|; 

$key = q/{array}rcldotu&=&v,dotv&=&u-u^3-deltav-gammacosomegat.{array}AAT;/;
$cached_env_img{$key} = q|86#86|; 

$key = q/{inline}gamma>0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|67#67|; 

$key = q/{accent_inline}{timebTimes-Bold}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|111#111|; 

$key = q/{figure}centerlinepsfigfigure=psslashprop-map.ps,height=124pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|36#36|; 

$key = q/{accent_inline}{couroABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|133#133|; 

$key = q/{array}rclphi_j-1&=&phi_j-frac1alphav_j,v_j-1&=&frac1alphav_j.{array}AAT;/;
$cached_env_img{$key} = q|77#77|; 

$key = q/{inline}Df_alpha,gamma{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|73#73|; 

$key = q/{figure}centerlinepsfigfigure=psslashporbit.ps,height=137pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|47#47|; 

$key = q/{accent_inline}{helvABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|118#118|; 

$key = q/{inline}phi{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|64#64|; 

$key = q/{inline}l+1subsetreal^n+k{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|54#54|; 

$key = q/{inline}0<alphaleq1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|66#66|; 

$key = q/{inline}theta_0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|103#103|; 

$key = q/{inline}alpha{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|40#40|; 

$key = q/{inline}ninzed{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|79#79|; 

$key = q/{figure}centerlinepsfigfigure=psslashdefaults.ps,height=237pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|31#31|; 

$key = q/{displaymath}left(arrayccpartialf_1slashpartialphi_j&partialf_1slashpartialv_jpaammasin(phi_j+v_j)&alpha+gammasin(phi_j+v_j)arrayright){displaymath}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|71#71|; 

$key = q/{figure}centerlinepsfigfigure=psslashmultiple.ps,height=203pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|45#45|; 

$key = q/{accent_inline}{helvHelvetica}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|117#117|; 

$key = q/{accent_inline}{courboABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|139#139|; 

$key = q/{figure}centerlinepsfigfigure=psslashsnapshot.ps,height=123pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|26#26|; 

$key = q/{inline}hat{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|60#60|; 

$key = q/{figure}centerlinepsfigfigure=psslashparser.ps,height=228pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|5#5|; 

$key = q/{figure}centerlinepsfigfigure=psslashcolor.ps,height=29pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|24#24|; 

$key = q/{inline}G:real^l+1rightarrowreal^l{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|51#51|; 

$key = q/{inline}T^2=real^2slashzed^2{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|59#59|; 

$key = q/{inline}phi_j+1{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|69#69|; 

$key = q/{inline}(alpha_0,beta_0,0.01){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|18#18|; 

$key = q/{inline}phi_j{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|68#68|; 

$key = q/{accent_inline}{courbABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|136#136|; 

$key = q/{figure}centerlinepsfigfigure=psslashmodelhelp.ps,height=177pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|57#57|; 

$key = q/{array}rcldotu&=&v,dotv&=&u-u^3-deltav-gammacospsi,dotpsi&=&omega,{array}AAT;/;
$cached_env_img{$key} = q|99#99|; 

$key = q/{inline}[0,2pislashomega){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|97#97|; 

$key = q/{accent_inline}{timeiTimes-Italic}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|108#108|; 

$key = q/{inline}^mboxtinycopyright{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|2#2|; 

$key = q/{figure}centerlinepsfigfigure=psslashtwoD.ps,height=365pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|23#23|; 

$key = q/{array}rclphi_j+1&=&phi_j+v_j,v_j+1&=&alphav_j,{array}AAT;/;
$cached_env_img{$key} = q|76#76|; 

$key = q/{inline}(alpha,gamma)=(0.8,10){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|84#84|; 

$key = q/{inline}delta=0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|87#87|; 

$key = q/{inline}theta=theta_0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|102#102|; 

$key = q/{accent_inline}{couroabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|134#134|; 

$key = q/{figure}centerlinepsfigfigure=psslashbrowser.ps,height=178pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|32#32|; 

$key = q/{figure}centerlinepsfigfigure=psslashversionhelp.ps,height=132pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|58#58|; 

$key = q/{inline}det()=0{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|49#49|; 

$key = q/{inline}mboxbullet{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|1#1|; 

$key = q/{accent_inline}{helvabcdefghijklmnopqrstuvwxyz}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|119#119|; 

$key = q/{accent_inline}{timebABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|112#112|; 

$key = q/{inline}cosomegat{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|93#93|; 

$key = q/{figure}centerlinepsfigfigure=psslashcontinuation.ps,height=200pt{figure}FSF=1.6;AAT;/;
$cached_env_img{$key} = q|48#48|; 

$key = q/{inline}gamma{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|17#17|; 

$key = q/{inline}calO(h^2){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|42#42|; 

$key = q/{inline}9leqkleq11{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|14#14|; 

$key = q/{accent_inline}{courABCDEFGHIJKLMNOPQRSTUVWXYZ}{accent_inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|130#130|; 

$key = q/{inline}2pi{inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|82#82|; 

$key = q/{inline}[0,2pi){inline}MSF=1.6;AAT;/;
$cached_env_img{$key} = q|65#65|; 

1;