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


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img78.svg"
 ALT="$\displaystyle \ensuremath{\mathrm{USED}}= \ensuremath{\left[ \ensuremath{q}\tim...
...ht] } + \ensuremath{\left[ (\ensuremath{q}+1) \times \ensuremath{r} \right] }.
$">|; 

$key = q/(-1500'',2000'');MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.57ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img40.svg"
 ALT="$(-1500'',2000'')$">|; 

$key = q/0^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img42.svg"
 ALT="$0^{\circ}$">|; 

$key = q/0le{ensuremath{r}{le{ensuremath{N}{-1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.11ex; vertical-align: -0.42ex; " SRC="|."$dir".q|img77.svg"
 ALT="$0
\le \ensuremath{r}\le \ensuremath{N}-1$">|; 

$key = q/105^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img56.svg"
 ALT="$105^{\circ}$">|; 

$key = q/10^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img45.svg"
 ALT="$10^{\circ}$">|; 

$key = q/10^{circ}slashcos(mathrm{el});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img47.svg"
 ALT="$10^{\circ} / cos(\mathrm{el})$">|; 

$key = q/154^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img57.svg"
 ALT="$154^{\circ}$">|; 

$key = q/154timescos(47)simeq105;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img59.svg"
 ALT="$154 \times
cos(47) \simeq 105$">|; 

$key = q/1time1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.70ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img38.svg"
 ALT="$1 \time 1$">|; 

$key = q/2pi;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.70ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img67.svg"
 ALT="$2 \pi$">|; 

$key = q/4';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.99ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img48.svg"
 ALT="$4'$">|; 

$key = q/40^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img43.svg"
 ALT="$40^{\circ}$">|; 

$key = q/47^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img58.svg"
 ALT="$47^{\circ}$">|; 

$key = q/480''times480'';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img39.svg"
 ALT="$480''\times480''$">|; 

$key = q/80^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img44.svg"
 ALT="$80^{\circ}$">|; 

$key = q/86^{circ};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img52.svg"
 ALT="$86^{\circ}$">|; 

$key = q/A,d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img33.svg"
 ALT="$A,d$">|; 

$key = q/A_0,d_0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img32.svg"
 ALT="$A_0,d_0$">|; 

$key = q/Delta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img24.svg"
 ALT="$\Delta$">|; 

$key = q/N_{good};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img7.svg"
 ALT="$N_{good}$">|; 

$key = q/N_{set}timesN_{pix}timesN_{time};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.47ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img11.svg"
 ALT="$N_{set} \times N_{pix}
\times N_{time}$">|; 

$key = q/N_{tot};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img6.svg"
 ALT="$N_{tot}$">|; 

$key = q/N_{tot}=N_{good}+N_{bad};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img8.svg"
 ALT="$N_{tot} = N_{good} + N_{bad}$">|; 

$key = q/^3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img4.svg"
 ALT="$^3$">|; 

$key = q/^{1,2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img3.svg"
 ALT="$^{1,2}$">|; 

$key = q/^{1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img2.svg"
 ALT="$^{1}$">|; 

$key = q/backslash;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img50.svg"
 ALT="$\backslash$">|; 

$key = q/cos(86^{circ})simeq0.07;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img51.svg"
 ALT="$cos(86^{\circ}) \simeq 0.07$">|; 

$key = q/cos(elevation);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img41.svg"
 ALT="$cos(elevation)$">|; 

$key = q/cos(mathrm{el});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img49.svg"
 ALT="$cos(\mathrm{el})$">|; 

$key = q/d-d_0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img37.svg"
 ALT="$d-d_0$">|; 

$key = q/d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img36.svg"
 ALT="$d$">|; 

$key = q/displaystyle(A-A_0)timesmathrm{cos}(d),;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img29.svg"
 ALT="$\displaystyle (A-A_0) \times \mathrm{cos}(d),$">|; 

$key = q/displaystyled-d_0,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img31.svg"
 ALT="$\displaystyle d-d_0,$">|; 

$key = q/displaystylex;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img27.svg"
 ALT="$\displaystyle x$">|; 

$key = q/displaystyley;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img30.svg"
 ALT="$\displaystyle y$">|; 

$key = q/displaystyle{ensuremath{l_{S}}{={ensuremath{l_{A}}{(j)+ftimes{ensuremath{left[ensuremath{l_{A}}(j+1)-ensuremath{l_{A}}(j)right]}{,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img19.svg"
 ALT="$\displaystyle \ensuremath{l_{S}} = \ensuremath{l_{A}}(j) + f \times \ensuremath{\left[ \ensuremath{l_{A}}(j+1)-\ensuremath{l_{A}}(j) \right] },
$">|; 

$key = q/displaystyle{ensuremath{mathrm{USED}}{={ensuremath{q}{times{ensuremath{N}{+{ensuremath{r}{,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.24ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img73.svg"
 ALT="$\displaystyle \ensuremath{\mathrm{USED}}= \ensuremath{q}\times \ensuremath{N}+ \ensuremath{r},
$">|; 

$key = q/displaystyle{ensuremath{mathrm{USED}}{ge{ensuremath{N}{ge1.;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.11ex; vertical-align: -0.42ex; " SRC="|."$dir".q|img72.svg"
 ALT="$\displaystyle \ensuremath{\mathrm{USED}}\ge \ensuremath{N}\ge 1.
$">|; 

$key = q/ensuremath{N};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img71.svg"
 ALT="\ensuremath{N}">|; 

$key = q/ensuremath{W};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img70.svg"
 ALT="\ensuremath{W}">|; 

$key = q/ensuremath{ensuremath{mathrm{mjd}}_{S}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.37ex; vertical-align: -0.66ex; " SRC="|."$dir".q|img13.svg"
 ALT="\ensuremath{\ensuremath{\mathrm{mjd}}_{S}}">|; 

$key = q/ensuremath{l_{A}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.47ex; " SRC="|."$dir".q|img21.svg"
 ALT="\ensuremath{l_{A}}">|; 

$key = q/ensuremath{l_{S}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.47ex; " SRC="|."$dir".q|img20.svg"
 ALT="\ensuremath{l_{S}}">|; 

$key = q/ensuremath{mathrm{USED}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img68.svg"
 ALT="\ensuremath{\mathrm{USED}}">|; 

$key = q/ensuremath{q};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img74.svg"
 ALT="\ensuremath{q}">|; 

$key = q/ensuremath{r};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img75.svg"
 ALT="\ensuremath{r}">|; 

$key = q/f;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img17.svg"
 ALT="$f$">|; 

$key = q/i^{th};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.23ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img9.svg"
 ALT="$i^{th}$">|; 

$key = q/includegraphics[width=0.65textwidth]{iram30m-fts-20120809s101-imb-subs3.pdf};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 33.41ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img53.svg"
 ALT="\includegraphics[width=0.65\textwidth]{iram30m-fts-20120809s101-imb-subs3.pdf}">|; 

$key = q/includegraphics[width=0.65textwidth]{iram30m-wilma-20240911s192-imb-subs3.pdf};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 33.41ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img54.svg"
 ALT="\includegraphics[width=0.65\textwidth]{iram30m-wilma-20240911s192-imb-subs3.pdf}">|; 

$key = q/includegraphics[width=0.65textwidth]{iram30m-wilma-20240911s193-imb-subs3.pdf};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 33.41ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img55.svg"
 ALT="\includegraphics[width=0.65\textwidth]{iram30m-wilma-20240911s193-imb-subs3.pdf}">|; 

$key = q/includegraphics[width=0.8textwidth]{iram30m-wilma-20250724s98-imb.pdf};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 56.11ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img60.svg"
 ALT="\includegraphics[width=0.8\textwidth]{iram30m-wilma-20250724s98-imb.pdf}">|; 

$key = q/includegraphics[width=0.9textwidth]{iram30m-nbc-20220301s205-subs1-phases};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 56.90ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img61.svg"
 ALT="\includegraphics[width=0.9\textwidth]{iram30m-nbc-20220301s205-subs1-phases}">|; 

$key = q/includegraphics[width=5cm]{gildas-logo};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 20.68ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img1.svg"
 ALT="\includegraphics[width=5cm]{gildas-logo}">|; 

$key = q/includegraphics[width=textwidth]{mrtcal-continuum-drift};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 49.30ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img25.svg"
 ALT="\includegraphics[width=\textwidth]{mrtcal-continuum-drift}">|; 

$key = q/includegraphics[width=textwidth]{mrtcal-horizontal-true.pdf};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 30.80ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img46.svg"
 ALT="\includegraphics[width=\textwidth]{mrtcal-horizontal-true.pdf}">|; 

$key = q/j+1^{th};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.68ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img18.svg"
 ALT="$j+1^{th}$">|; 

$key = q/j;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.19ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img15.svg"
 ALT="$j$">|; 

$key = q/j^{th};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.68ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img10.svg"
 ALT="$j^{th}$">|; 

$key = q/langleOFFrangle;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img65.svg"
 ALT="$\langle OFF \rangle$">|; 

$key = q/langleOFFrangle=2+4;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img63.svg"
 ALT="$\langle
OFF \rangle = 2+4$">|; 

$key = q/langleONrangle-langleOFFrangle;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img66.svg"
 ALT="$\langle ON \rangle - \langle OFF \rangle$">|; 

$key = q/langleONrangle;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img64.svg"
 ALT="$\langle ON \rangle$">|; 

$key = q/langleONrangle=1+3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img62.svg"
 ALT="$\langle ON \rangle = 1+3$">|; 

$key = q/pmDelta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.99ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img23.svg"
 ALT="$\pm \Delta$">|; 

$key = q/pmDeltaslash2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img22.svg"
 ALT="$\pm \Delta/2$">|; 

$key = q/sim;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.06ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img26.svg"
 ALT="$\sim$">|; 

$key = q/textstyle=;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.06ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img28.svg"
 ALT="$\textstyle =$">|; 

$key = q/times;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.75ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img5.svg"
 ALT="$\times$">|; 

$key = q/x,y;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img34.svg"
 ALT="$x,y$">|; 

$key = q/x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img35.svg"
 ALT="$x$">|; 

$key = q/{ensuremath{ensuremath{mathrm{mjd}}_{A}}{(j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img14.svg"
 ALT="$\ensuremath{\ensuremath{\mathrm{mjd}}_{A}}(j)$">|; 

$key = q/{ensuremath{mathrm{USED}}{slash{ensuremath{N}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img76.svg"
 ALT="$\ensuremath{\mathrm{USED}}/\ensuremath{N}$">|; 

1;

