# LaTeX2HTML 2012 (1.2)
# Associate images original text with physical files.


$key = q/ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/{ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}} &gt; 0$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,sig}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,sig}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/{displaymath}{ensuremath{lambda_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{}}}^{ensuremath{mathrm{obs}}}}}{ensuremath{c}}right)}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="175" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="\begin{displaymath}
\ensuremath{\lambda_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...el}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}} \right) }.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{RFtuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{RFtuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{lsr}}}}{({ensm{sys}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="272" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{l...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}},
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,1}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,1}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/10^{-5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="$10^{-5}$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{RF}}^{ensuremath{mathrm{obs}}}}{({e{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="391" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{RF}}^{\ensuremath{\mathrm...
...math{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{v_{ensuremath{mathrm{new}}}^{ensuremathuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="141" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm{new}}...
..._\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/^{1,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$^{1,2}$">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$\textstyle =$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}ensuremath{mathrm{new}}}^{ensuremath{mathrm{meas}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="377" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\m...
...{d_{\ensuremath{\mathrm{new}}}^{\ensuremath{\mathrm{meas}}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}{({ensys}}}}}^{ensuremath{mathrm{obs}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="553" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{r...
...thrm{sys}}}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{ima}}^{ensuremath{mathrm{obs}}}}{({nsuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="570" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathr...
..._\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\mathrm{obs}}}}.
\end{displaymath}">|; 

$key = q/{ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}}{=+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}=+1$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{={ens}}}^{ensuremath{mathrm{obs}}}}}{ensuremath{c}}right)}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="175" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}} \right) }.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{ima,tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima,tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}$">|; 

$key = q/{displaymath}{ensuremath{v_{ensuremath{mathrm{opt}}}^{ensuremath{mathrm{obs}}}}{nsuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="413" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="\begin{displaymath}
\ensuremath{v_{\ensuremath{\mathrm{opt}}}^{\ensuremath{\mat...
...da_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{SB_{ensuremath{mathrm{sep}}}^{ensuremath{mathrm{obs}}}}nsuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="179" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="\begin{displaymath}
\ensuremath{SB_{\ensuremath{\mathrm{sep}}}^{\ensuremath{\ma...
...{f_\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\mathrm{obs}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{sys}}}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}remath{mathrm{sys,new}}}^{ensuremath{mathrm{lsr}}}}{)},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="486" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\m...
...\ensuremath{\mathrm{sys,new}}}^{\ensuremath{\mathrm{lsr}}}})},
\end{displaymath}">|; 

$key = q/ensuremath{,ensuremath{mathrm{km,s^{-1}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="\ensuremath{  \ensuremath{\mathrm{km s^{-1}}}}">|; 

$key = q/ensuremath{,ensuremath{mathrm{kHz}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="\ensuremath{  \ensuremath{\mathrm{kHz}}}">|; 

$key = q/{ensuremath{left[ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}},{mathrm{sys}}}^{ensuremath{mathrm{lsr}}}})slashensuremath{c}right]}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="199" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$\ensuremath{\left[ \ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\math...
...nsuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}})/\ensuremath{c} \right] }$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{new}}^{ensuremath{mathrm{rest}}}}{=ensuremath{mathrm{new}}}^{ensuremath{mathrm{meas}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="157" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathr...
...{d_{\ensuremath{\mathrm{new}}}^{\ensuremath{\mathrm{meas}}}}}.
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{obsm{sys}}}^{ensuremath{mathrm{obs}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="277" HEIGHT="48" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremat...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{new}}^{ensuremath{m_ensuremath{mathrm{old}}^{ensuremath{mathrm{meas}}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="349" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^...
...th{f_\ensuremath{\mathrm{old}}^{\ensuremath{\mathrm{meas}}}}}.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig}}^{ensuremath{mathrm{rest}}}}{({ensuremath{i_{ensuremath{mathrm{}}}}{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathrm{rest}}}}(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/{displaymath}{ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}}{({ensuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="389" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="\begin{displaymath}
\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm...
...{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{={ens}}}^{ensuremath{mathrm{lsr}}}}}{ensuremath{c}}right)}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="399" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...ys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}} \right) }.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathsuremath{mathrm{sys}}}}}^{ensuremath{mathrm{meas}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="131" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\e...
...m{\ensuremath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{meas}}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{ima,tuned}}^{ensuremath{mathrm{restmath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}}right]}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="289" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{ima,tuned}}^{\ensuremat...
...remath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}} \right] }}.
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremath{mathrmensuremath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}}{{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^{\ensur...
...{d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}{}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{lsr}}}}{={ensm{sys}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="206" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{l...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}{({enremath{mathrm{apparent}}^{ensuremath{mathrm{rest}}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="270" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{r...
...\ensuremath{\mathrm{apparent}}^{\ensuremath{\mathrm{rest}}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{ima}}^{ensuremath{mathrm{rest}}}}{(h{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathr...
...emath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{SB_{ensuremath{mathrm{sep}}}^{ensuremath{mathrm{rest}}}mathrm{ima,tuned}}^{ensuremath{mathrm{rest}}}}right]}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="277" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="\begin{displaymath}
\ensuremath{SB_{\ensuremath{\mathrm{sep}}}^{\ensuremath{\ma...
...h{\mathrm{ima,tuned}}^{\ensuremath{\mathrm{rest}}}} \right] }.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{SB_{ensuremath{mathrm{sep}}}^{ensuremath{mathrm{obs}}}}emath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}}right]}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="\begin{displaymath}
\ensuremath{SB_{\ensuremath{\mathrm{sep}}}^{\ensuremath{\ma...
...uremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}} \right] },
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}$">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{perp}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}}{(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}(i)$">|; 

$key = q/{ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}}{,{ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}} \ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}}$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{i_{ensuremath{mathrm{0,new}}}}{={ensuremath{i_{ensuremamath{mathrm{old}}}^{ensuremath{mathrm{meas}}}}right]}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="49" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="\begin{displaymath}
\ensuremath{i_{\ensuremath{\mathrm{0,new}}}} = \ensuremath{...
...remath{\mathrm{old}}}^{\ensuremath{\mathrm{meas}}}} \right] },
\end{displaymath}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$^1$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{deltaensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{sig}}^{ensuremath{mathrm{obs}}}}{({nsuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="560" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathr...
..._\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\mathrm{obs}}}},
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremath{mathrm{lsr}m{sys}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="301" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^{\ensuremath{...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{({ensuremath{i_{en-{ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{obs}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}}(\ensuremath{i...
...rm{}}}})-\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{obs}}}}$">|; 

$key = q/{ensuremath{i_{ensuremath{mathrm{}}}}{={ensuremath{i_{ensuremath{mathrm{0}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\ensuremath{i_{\ensuremath{\mathrm{}}}}= \ensuremath{i_{\ensuremath{\mathrm{0}}}}$">|; 

$key = q/ensuremath{i_{ensuremath{mathrm{0}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="\ensuremath{i_{\ensuremath{\mathrm{0}}}}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}eltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="195" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{...
...ath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},$">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{LO}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{LO}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{>0.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}} &gt; 0.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{left[ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremnsuremath{d_{ensuremath{mathrm{new}}}^{ensuremath{mathrm{meas}}}}{}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="286" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$\displaystyle \ensuremath{\left[ \ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^...
...}}}{1+\ensuremath{d_{\ensuremath{\mathrm{new}}}^{\ensuremath{\mathrm{meas}}}}}.$">|; 

$key = q/^{ensuremath{mathrm{th}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$^\ensuremath{\mathrm{th}}$">|; 

$key = q/ensuremath{,ensuremath{mathrm{mm}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="\ensuremath{  \ensuremath{\mathrm{mm}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}obs}}}}{){ensuremath{equiv}{{ensuremath{mathrm{cste}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="291" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\m...
...athrm{obs}}}})
\ensuremath{\equiv}\ensuremath{\mathrm{cste}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{lambda_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{emath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}}{}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="161" HEIGHT="66" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="\begin{displaymath}
\ensuremath{\lambda_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...nsuremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}}}.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima}}^{ensuremath{mathrm{rest}}}}{({ensuremath{i_{ensuremath{mathrm{}}}}{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathrm{rest}}}}(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{apparent}}^{ensuremath{mathrm{rest}m{ensuremath{mathrm{1}}}}}^{ensuremath{mathrm{}}}})}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="429" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{apparent}}^{\ensuremath{\...
...athrm{\ensuremath{\mathrm{1}}}}}^{\ensuremath{\mathrm{}}}})}}.
\end{displaymath}">|; 

$key = q/T({ensuremath{i_{ensuremath{mathrm{}}}}{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$T(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{={ensemath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}}{}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="161" HEIGHT="66" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...uremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{D_{ensuremath{mathrm{2}}}()};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="\ensuremath{D_{\ensuremath{\mathrm{2}}}()}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{=fracllel}}}^{ensuremath{mathrm{obs}}}}{}{{ensuremath{c}{}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...\parallel}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}}.
\end{displaymath}">|; 

$key = q/{displaymath}frac{D_{ensuremath{mathrm{relat}}{({ensuremath{v_{ensuremath{mathrmremath{mathrm{sys,new}}}^{ensuremath{mathrm{lsr}}}}{)}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="236" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="\begin{displaymath}
\frac{D_\ensuremath{\mathrm{relat}}(\ensuremath{v_{\ensurem...
...\ensuremath{\mathrm{sys,new}}}^{\ensuremath{\mathrm{lsr}}}})}.
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{thrm{}}}^{ensuremath{mathrm{obs}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="268" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...ath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{d_{ensuremath{mathrm{old}}}^{ensuremath{mathrm{meas}}}}s,new}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="417" HEIGHT="44" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="\begin{displaymath}
\ensuremath{d_{\ensuremath{\mathrm{old}}}^{\ensuremath{\mat...
...hrm{sys,new}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{ensuremath{v_{ensuremath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}}{gg{ensuremath{v_{ensuremath{mathrm{perp}}}^{ensuremath{mathrm{obs}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$\ensuremath{v_{\ensuremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}\gg \ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}$">|; 

$key = q/{displaymath}{ensuremath{i_{ensuremath{mathrm{0,new}}}}{={ensuremath{i_{ensuremaath{mathrm{sys}}}}}^{ensuremath{mathrm{meas}}}}right)}{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="312" HEIGHT="48" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="\begin{displaymath}
\ensuremath{i_{\ensuremath{\mathrm{0,new}}}}
= \ensuremath...
...emath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{meas}}}} \right) }
\end{displaymath}">|; 

$key = q/vslash{ensuremath{c}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$v/\ensuremath{c}$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,tuned,new}}^{ensuremath{mathrm{rtaensuremath{f_ensuremath{mathrm{new}}^{ensuremath{mathrm{rest}}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="231" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,tuned,new}}^{\ensuremath{\m...
...h{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathrm{rest}}}}}$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}suremath{mathrm{ima,old}}^{ensuremath{mathrm{rest}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\m...
...f_\ensuremath{\mathrm{ima,old}}^{\ensuremath{\mathrm{rest}}}}.
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{deltaensuremath{v_{ensuremath{mathrm{}}}^{ensuremaensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}sim10^{-4}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm...
...}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}} \sim 10^{-4}.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/sim250{ensuremath{,ensuremath{mathrm{km,s^{-1}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$\sim250\ensuremath{  \ensuremath{\mathrm{km s^{-1}}}}$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{ma_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="171" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm{}}}^{...
...th{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{new}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/{displaymath}D_{ensuremath{mathrm{opt}}{({ensuremath{v_{ensuremath{mathrm{opt}}}hrm{opt}}}^{ensuremath{mathrm{}}}}{}{{ensuremath{c}{}}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="153" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="\begin{displaymath}
D_\ensuremath{\mathrm{opt}}(\ensuremath{v_{\ensuremath{\mat...
...th{\mathrm{opt}}}^{\ensuremath{\mathrm{}}}}}{\ensuremath{c}}}.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,old}}^{ensuremath{mathrm{rest}}}eltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="223" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,old}}^{\ensuremath{\mathrm{...
...ath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}}.$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}(i)$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}eltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="200" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{...
...ath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},$">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}{=fra{d_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{r...
...math{d_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}}.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremath{mathrm{rest}taensuremath{f_ensuremath{mathrm{new}}^{ensuremath{mathrm{rest}}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="200" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^{\ensuremath{\mathr...
...h{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathrm{rest}}}}}$">|; 

$key = q/{displaymath}{ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{lsr}}}}{({ensuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="371" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="\begin{displaymath}
\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm...
...{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,old}}^{ensuremath{mathrm{rest}}}eltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,old}}^{\ensuremath{\mathrm{...
...ath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},$">|; 

$key = q/ensuremath{d_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="\ensuremath{d_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}frac{{ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}h{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="221" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\...
...emath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{meas}}}}{=(1+f_ensuremath{mathrm{new}}^{ensuremath{mathrm{rest}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="304" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{m...
...ath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathrm{rest}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}remath{mathrm{sys,new}}}^{ensuremath{mathrm{obs}}}}{)},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="492" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\m...
...\ensuremath{\mathrm{sys,new}}}^{\ensuremath{\mathrm{obs}}}})},
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{suremath{i_{ensuremath{mathrm{}}}}{)}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="340" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...}}}(\ensuremath{i_{\ensuremath{\mathrm{}}}})}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}}{=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}=-1$">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{lsr}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{new}}^{ensuremath{muremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="429" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^...
..._\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{ima}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/{displaymath}{ensuremath{d_{ensuremath{mathrm{old}}}^{ensuremath{mathrm{meas}}}},new}}}^{ensuremath{mathrm{meas}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="305" HEIGHT="42" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="\begin{displaymath}
\ensuremath{d_{\ensuremath{\mathrm{old}}}^{\ensuremath{\mat...
...hrm{sys,new}}}^{\ensuremath{\mathrm{meas}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{SB_{ensuremath{mathrm{sep}}}^{ensuremath{mathrm{obs}}}}{mathrm{ima,tuned}}^{ensuremath{mathrm{obs}}}}right]}{.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="275" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\begin{displaymath}
\ensuremath{SB_{\ensuremath{\mathrm{sep}}}^{\ensuremath{\ma...
...th{\mathrm{ima,tuned}}^{\ensuremath{\mathrm{obs}}}} \right] }.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{({ensth{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...math{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}}},
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{left[ensuremath{f_ensuremath{mathrm{ima,tuned,old}}^{ensnsuremath{d_{ensuremath{mathrm{new}}}^{ensuremath{mathrm{meas}}}}{}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="312" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$\displaystyle \ensuremath{\left[ \ensuremath{f_\ensuremath{\mathrm{ima,tuned,ol...
...}}}{1+\ensuremath{d_{\ensuremath{\mathrm{new}}}^{\ensuremath{\mathrm{meas}}}}}.$">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathys}}}}}^{ensuremath{mathrm{meas}}}}{}{{ensuremath{c}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\e...
...athrm{sys}}}}}^{\ensuremath{\mathrm{meas}}}}}{\ensuremath{c}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{maththrm{}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="453" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\e...
...ath{\mathrm{}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathsys}}}}}^{ensuremath{mathrm{obs}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="271" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\e...
...athrm{sys}}}}}^{\ensuremath{\mathrm{obs}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{sig}}^{ensuremath{mathrm{rest}}}}{(h{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathr...
...emath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}{({esuremath{mathrm{LO}}^{ensuremath{mathrm{obs}}}}right]}{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="226" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm...
...ensuremath{\mathrm{LO}}^{\ensuremath{\mathrm{obs}}}} \right] }
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{tuned,conv1}}^{ensuremath{mathrm{obrm{ensuremath{mathrm{1}}}}}^{ensuremath{mathrm{}}}})}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{tuned,conv1}}^{\ensuremat...
...mathrm{\ensuremath{\mathrm{1}}}}}^{\ensuremath{\mathrm{}}}})},
\end{displaymath}">|; 

$key = q/{displaymath}frac{{ensuremath{deltaensuremath{v_{ensuremath{mathrm{}}}^{ensuremansuremath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}}{}-1.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="286" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="\begin{displaymath}
\frac{\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm...
...d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}}-1.
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{meas}}}}{({nsuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="429" HEIGHT="44" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="\begin{displaymath}
\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm...
...{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}}.
\end{displaymath}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{RF}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{RF}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,old}}^{ensuremath{mathrm{rest}}}eltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}}}{,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="185" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,old}}^{\ensuremath{\mathrm{...
...ath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}},$">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,ima}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,ima}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}{({e{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="234" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm...
...th{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}},
\end{displaymath}">|; 

$key = q/{{ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}}{}^2={{ensurematsuremath{v_{ensuremath{mathrm{perp}}}^{ensuremath{mathrm{obs}}}}{}^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="${\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}}^2 = {\ens...
...^2+{\ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}}^2$">|; 

$key = q/ensuremath{i_{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\ensuremath{i_{\ensuremath{\mathrm{}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{1}}}}}^{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{1}}}}}^{\ensuremath{\mathrm{}}}}">|; 

$key = q/{displaymath}{ensuremath{d_{ensuremath{mathrm{new}}}^{ensuremath{mathrm{meas}}}}s,new}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="237" HEIGHT="44" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="\begin{displaymath}
\ensuremath{d_{\ensuremath{\mathrm{new}}}^{\ensuremath{\mat...
...hrm{sys,new}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/ensuremath{d_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\ensuremath{d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}{={ensremath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="62" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{o...
...suremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}},
\end{displaymath}">|; 

$key = q/{displaymath}{ensuremath{deltaensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mansuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}}{},{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="200" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="\begin{displaymath}
\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm{}}}^{...
...{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}},
\end{displaymath}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{sys}}}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/{displaymath}{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{lsr}}}}{({ensm{sys}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="\begin{displaymath}
\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{l...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/{displaymath}Delta{ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{lsr}}}}{m{sys}}}^{ensuremath{mathrm{lsr}}}}{}{{ensuremath{c}{}.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="251" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="\begin{displaymath}
\Delta\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\ma...
...{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}}{\ensuremath{c}}.
\end{displaymath}">|; 

$key = q/ensuremath{D_{ensuremath{mathrm{1}}}()};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="\ensuremath{D_{\ensuremath{\mathrm{1}}}()}">|; 

1;

