# LaTeX2HTML 2023 (Released January 1, 2023)
# Associate images original text with physical files.


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.82ex; vertical-align: -1.27ex; " SRC="|."$dir".q|img121.svg"
 ALT="${\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}}^2 = {\ens...
...^2+{\ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}}^2$">|; 

$key = q/10^{-5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img141.svg"
 ALT="$10^{-5}$">|; 

$key = q/T({ensuremath{i_{ensuremath{mathrm{}}}}{);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.55ex; vertical-align: -0.70ex; " SRC="|."$dir".q|img5.svg"
 ALT="$T(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img2.svg"
 ALT="$^1$">|; 

$key = q/^{1,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img1.svg"
 ALT="$^{1,2}$">|; 

$key = q/^{ensuremath{mathrm{th}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.20ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img3.svg"
 ALT="$^\ensuremath{\mathrm{th}}$">|; 

$key = q/displaystyle{ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{>0.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.88ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img49.svg"
 ALT="$\displaystyle \ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}} &gt; 0.
$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}}{(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.07ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img114.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}(i)$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{ima,new}}^{ensuremath{mathrm{rest}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.07ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img102.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}$">|; 

$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
 STYLE="height: 2.76ex; vertical-align: -0.70ex; " SRC="|."$dir".q|img97.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathrm{rest}}}}(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.07ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img109.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}(i)$">|; 

$key = q/displaystyle{ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.07ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img100.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}$">|; 

$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
 STYLE="height: 3.07ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img91.svg"
 ALT="$\displaystyle \ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathrm{rest}}}}(\ensuremath{i_{\ensuremath{\mathrm{}}}})$">|; 

$key = q/ensuremath{,ensuremath{mathrm{kHz}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.84ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img89.svg"
 ALT="\ensuremath{  \ensuremath{\mathrm{kHz}}}">|; 

$key = q/ensuremath{,ensuremath{mathrm{km,s^{-1}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img72.svg"
 ALT="\ensuremath{  \ensuremath{\mathrm{km s^{-1}}}}">|; 

$key = q/ensuremath{,ensuremath{mathrm{mm}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.23ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img88.svg"
 ALT="\ensuremath{  \ensuremath{\mathrm{mm}}}">|; 

$key = q/ensuremath{D_{ensuremath{mathrm{1}}}()};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.55ex; vertical-align: -0.70ex; " SRC="|."$dir".q|img134.svg"
 ALT="\ensuremath{D_{\ensuremath{\mathrm{1}}}()}">|; 

$key = q/ensuremath{D_{ensuremath{mathrm{2}}}()};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.55ex; vertical-align: -0.70ex; " SRC="|."$dir".q|img137.svg"
 ALT="\ensuremath{D_{\ensuremath{\mathrm{2}}}()}">|; 

$key = q/ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.75ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img44.svg"
 ALT="\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}">|; 

$key = q/ensuremath{d_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.73ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img75.svg"
 ALT="\ensuremath{d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/ensuremath{d_{ensuremath{mathrm{}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.77ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img15.svg"
 ALT="\ensuremath{d_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.48ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img79.svg"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.83ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img45.svg"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{new}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.41ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img146.svg"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{new}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{meas}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.41ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img71.svg"
 ALT="\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/ensuremath{deltaensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.77ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img11.svg"
 ALT="\ensuremath{\delta \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
 STYLE="height: 2.41ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img73.svg"
 ALT="\ensuremath{\delta \ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{meas}}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{IFtuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.85ex; vertical-align: -0.77ex; " SRC="|."$dir".q|img36.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{IFtuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.83ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img30.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{LO}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.83ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img28.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{LO}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{RFtuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.85ex; vertical-align: -0.77ex; " SRC="|."$dir".q|img38.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{RFtuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{RF}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.83ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img29.svg"
 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
 STYLE="height: 3.00ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img145.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima,new}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{ima,tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.04ex; vertical-align: -1.09ex; " SRC="|."$dir".q|img54.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima,tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{ima}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.82ex; vertical-align: -0.74ex; " SRC="|."$dir".q|img40.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{ima}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig,new}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.00ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img144.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig,new}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig,tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.04ex; vertical-align: -1.09ex; " SRC="|."$dir".q|img53.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig,tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{sig}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.13ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img39.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{sig}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,1}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.17ex; vertical-align: -1.09ex; " SRC="|."$dir".q|img136.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,1}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,ima}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.04ex; vertical-align: -1.09ex; " SRC="|."$dir".q|img70.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,ima}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned,sig}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.04ex; vertical-align: -1.09ex; " SRC="|."$dir".q|img69.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned,sig}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.85ex; vertical-align: -0.77ex; " SRC="|."$dir".q|img9.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{tuned}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.72ex; vertical-align: -0.77ex; " SRC="|."$dir".q|img20.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{tuned}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.77ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img7.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{f_ensuremath{mathrm{}}^{ensuremath{mathrm{rest}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.64ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img14.svg"
 ALT="\ensuremath{f_\ensuremath{\mathrm{}}^{\ensuremath{\mathrm{rest}}}}">|; 

$key = q/ensuremath{i_{ensuremath{mathrm{0}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.11ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img10.svg"
 ALT="\ensuremath{i_{\ensuremath{\mathrm{0}}}}">|; 

$key = q/ensuremath{i_{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.11ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img8.svg"
 ALT="\ensuremath{i_{\ensuremath{\mathrm{}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{1}}}}}^{ensuremath{mathrm{}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.80ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img132.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{1}}}}}^{\ensuremath{\mathrm{}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{sys}}}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.66ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img80.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{ensuremath{mathrm{sys}}}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.08ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img18.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\ensuremath{\mathrm{sys}}}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{parallel}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.35ex; vertical-align: -1.27ex; " SRC="|."$dir".q|img122.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{perp}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.85ex; vertical-align: -0.77ex; " SRC="|."$dir".q|img123.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{lsr}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.08ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img152.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{lsr}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{meas}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.66ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img74.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{meas}}}}">|; 

$key = q/ensuremath{v_{ensuremath{mathrm{sys}}}^{ensuremath{mathrm{obs}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.08ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img21.svg"
 ALT="\ensuremath{v_{\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
 STYLE="height: 2.77ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img13.svg"
 ALT="\ensuremath{v_{\ensuremath{\mathrm{}}}^{\ensuremath{\mathrm{obs}}}}">|; 

$key = q/includegraphics[width=5cm]{gildas-logo};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 22.64ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img4.svg"
 ALT="\includegraphics[width=5cm]{gildas-logo}">|; 

$key = q/includegraphics[width=linewidth]{class-spectral-axis-v12-optic-vs-radio};AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 43.66ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img140.svg"
 ALT="\includegraphics[width=\linewidth]{class-spectral-axis-v12-optic-vs-radio}">|; 

$key = q/sim250{ensuremath{,ensuremath{mathrm{km,s^{-1}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img87.svg"
 ALT="$\sim250\ensuremath{  \ensuremath{\mathrm{km s^{-1}}}}$">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.08ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img92.svg"
 ALT="$\textstyle =$">|; 

$key = q/vslash{ensuremath{c}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.55ex; vertical-align: -0.70ex; " SRC="|."$dir".q|img85.svg"
 ALT="$v/\ensuremath{c}$">|; 

$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
 STYLE="height: 3.13ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img43.svg"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}} \ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}}$">|; 

$key = q/{ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}}{=+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.75ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img33.svg"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}=+1$">|; 

$key = q/{ensuremath{SB_ensuremath{mathrm{sign}}^{ensuremath{mathrm{}}}}{=-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.75ex; vertical-align: -1.05ex; " SRC="|."$dir".q|img32.svg"
 ALT="$\ensuremath{SB_\ensuremath{\mathrm{sign}}^{\ensuremath{\mathrm{}}}}=-1$">|; 

$key = q/{ensuremath{deltaensuremath{f_ensuremath{mathrm{IF}}^{ensuremath{mathrm{obs}}}}}{>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.83ex; vertical-align: -0.76ex; " SRC="|."$dir".q|img46.svg"
 ALT="$\ensuremath{\delta \ensuremath{f_\ensuremath{\mathrm{IF}}^{\ensuremath{\mathrm{obs}}}}} &gt; 0$">|; 

$key = q/{ensuremath{i_{ensuremath{mathrm{}}}}{={ensuremath{i_{ensuremath{mathrm{0}}}}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.11ex; vertical-align: -0.46ex; " SRC="|."$dir".q|img68.svg"
 ALT="$\ensuremath{i_{\ensuremath{\mathrm{}}}}= \ensuremath{i_{\ensuremath{\mathrm{0}}}}$">|; 

$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
 STYLE="height: 3.35ex; vertical-align: -1.27ex; " SRC="|."$dir".q|img124.svg"
 ALT="$\ensuremath{v_{\ensuremath{\mathrm{\parallel}}}^{\ensuremath{\mathrm{obs}}}}\gg \ensuremath{v_{\ensuremath{\mathrm{\perp}}}^{\ensuremath{\mathrm{obs}}}}$">|; 

1;

