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


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.62ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img92.svg"
 ALT="$\displaystyle V(u,v) = \ensuremath{\displaystyle\left\{ \mbox{FT}(B_\ensuremath...
...m{primary}}) \star \mbox{FT}(I_\ensuremath{\mathrm{source}}) \right\}}(u,v)+N.
$">|; 

$key = q/(1slashsigma^2);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.72ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img24.svg"
 ALT="$(1/\sigma^2)$">|; 

$key = q/(V_{ij}V_{kl})slash(V_{ik}V_{jl});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.65ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img116.svg"
 ALT="$(V_{ij} V_{kl}) / (V_{ik}
V_{jl})$">|; 

$key = q/(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img70.svg"
 ALT="$(\alpha,\beta)$">|; 

$key = q/(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img63.svg"
 ALT="$(\alpha,\delta)$">|; 

$key = q/(i,j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img100.svg"
 ALT="$(i,j)$">|; 

$key = q/(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img4.svg"
 ALT="$(u,v)$">|; 

$key = q/+infty;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.75ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img37.svg"
 ALT="$+ \infty$">|; 

$key = q/-1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.90ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img36.svg"
 ALT="$-1$">|; 

$key = q/-2^{15};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.33ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img3.svg"
 ALT="$-2^{15}$">|; 

$key = q/0.8sigma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.70ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img44.svg"
 ALT="$0.8\sigma$">|; 

$key = q/0<gamma<2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.15ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img48.svg"
 ALT="$0 &lt; \gamma &lt; 2$">|; 

$key = q/2^k3^p5^q;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.23ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img42.svg"
 ALT="$2^k 3^p 5^q$">|; 

$key = q/2^{n}3^{p}5^{q};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.78ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img39.svg"
 ALT="$2^{n}3^{p} 5^{q}$">|; 

$key = q/2times22'';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img54.svg"
 ALT="$2\times22''$">|; 

$key = q/2times55'';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.18ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img53.svg"
 ALT="$2\times55''$">|; 

$key = q/45-120;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.90ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img119.svg"
 ALT="$45-120$">|; 

$key = q/6-60;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.90ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img118.svg"
 ALT="$6-60$">|; 

$key = q/<40;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.20ex; " SRC="|."$dir".q|img121.svg"
 ALT="$&lt; 40$">|; 

$key = q/=;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.06ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img117.svg"
 ALT="$=$">|; 

$key = q/>0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.20ex; " SRC="|."$dir".q|img35.svg"
 ALT="$&gt; 0$">|; 

$key = q/B_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img64.svg"
 ALT="$B_i$">|; 

$key = q/B_{{ensuremath{mathrm{clean}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.48ex; " SRC="|."$dir".q|img85.svg"
 ALT="$B_{\ensuremath{\mathrm{clean}}}$">|; 

$key = q/B_{{ensuremath{mathrm{dirty}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img26.svg"
 ALT="$B_{\ensuremath{\mathrm{dirty}}}$">|; 

$key = q/B_{{ensuremath{mathrm{dirty}}{}=mbox{FT}^{-1}{ensuremath{displaystyleleft{Sright}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.92ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img17.svg"
 ALT="$B_{\ensuremath{\mathrm{dirty}}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ S \right\}}$">|; 

$key = q/B_{{ensuremath{mathrm{primary}}{}.I_{{ensuremath{mathrm{source}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.47ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img83.svg"
 ALT="$B_{\ensuremath{\mathrm{primary}}}.I_{\ensuremath{\mathrm{source}}}$">|; 

$key = q/B_{{ensuremath{mathrm{primary}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.47ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img9.svg"
 ALT="$B_{\ensuremath{\mathrm{primary}}}$">|; 

$key = q/B_{{ensuremath{mathrm{sd}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.48ex; " SRC="|."$dir".q|img80.svg"
 ALT="$B_{\ensuremath{\mathrm{sd}}}$">|; 

$key = q/D=d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img93.svg"
 ALT="$D = d$">|; 

$key = q/F(0)=int_{-infty}^{+infty}f(x)dx;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.19ex; vertical-align: -0.99ex; " SRC="|."$dir".q|img137.svg"
 ALT="$F(0) = \int_{-\infty}^{+\infty} f(x) dx$">|; 

$key = q/F(X);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img123.svg"
 ALT="$F(X)$">|; 

$key = q/F(X)=int_{-infty}^{+infty}f(x)e^{-2ipixX}dx;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.19ex; vertical-align: -0.99ex; " SRC="|."$dir".q|img124.svg"
 ALT="$F(X) = \int_{-\infty}^{+\infty} f(x) e^{-2i\pi x X} dx$">|; 

$key = q/F;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img7.svg"
 ALT="$F$">|; 

$key = q/F_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img66.svg"
 ALT="$F_i$">|; 

$key = q/G(i)G^{{star}}(j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img113.svg"
 ALT="$G(i) G^{{\star}}(j)$">|; 

$key = q/G(i,t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img98.svg"
 ALT="$G(i,t)$">|; 

$key = q/H(X)=F(X)G((X);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img139.svg"
 ALT="$H(X) = F(X) G((X)$">|; 

$key = q/H(X)=F(X-X_0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img130.svg"
 ALT="$H(X) = F(X-X_0)$">|; 

$key = q/H(X)=aF(X)+bG(X);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img126.svg"
 ALT="$H(X) = a F(X) + b G(X)$">|; 

$key = q/H(X)=bar{F}(-X);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.69ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img135.svg"
 ALT="$H(X) = \bar{F}(-X)$">|; 

$key = q/H(X)=e^{-2ipix_0X}F(X);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.79ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img128.svg"
 ALT="$H(X) = e^{-2i\pi x_0 X} F(X)$">|; 

$key = q/H(X)=frac{1}{|a|}F(frac{X}{a});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.52ex; vertical-align: -1.35ex; " SRC="|."$dir".q|img132.svg"
 ALT="$H(X) = \frac{1}{\vert a\vert}F(\frac{X}{a})$">|; 

$key = q/I_{{ensuremath{mathrm{clean}}{}^{{ensuremath{mathrm{id}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.90ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img88.svg"
 ALT="$I_{\ensuremath{\mathrm{clean}}}^{\ensuremath{\mathrm{id}}}$">|; 

$key = q/I_{{ensuremath{mathrm{dirty}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img27.svg"
 ALT="$I_{\ensuremath{\mathrm{dirty}}}$">|; 

$key = q/I_{{ensuremath{mathrm{dirty}}{}=B_{{ensuremath{mathrm{dirty}}{}.I_{{ensuremath{mathrm{point}}{}=B_{{ensuremath{mathrm{dirty}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img22.svg"
 ALT="$I_{\ensuremath{\mathrm{dirty}}} =
B_{\ensuremath{\mathrm{dirty}}}.I_{\ensuremath{\mathrm{point}}} = B_{\ensuremath{\mathrm{dirty}}}$">|; 

$key = q/I_{{ensuremath{mathrm{meas}}{}^{{ensuremath{mathrm{id}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.80ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img82.svg"
 ALT="$I_{\ensuremath{\mathrm{meas}}}^{\ensuremath{\mathrm{id}}}$">|; 

$key = q/I_{{ensuremath{mathrm{meas}}{}^{{ensuremath{mathrm{sd}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.80ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img79.svg"
 ALT="$I_{\ensuremath{\mathrm{meas}}}^{\ensuremath{\mathrm{sd}}}$">|; 

$key = q/I_{{ensuremath{mathrm{point}}{}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.47ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img23.svg"
 ALT="$I_{\ensuremath{\mathrm{point}}} = 1$">|; 

$key = q/I_{{ensuremath{mathrm{sky}}{}^{{ensuremath{mathrm{id}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.23ex; vertical-align: -1.11ex; " SRC="|."$dir".q|img89.svg"
 ALT="$I_{\ensuremath{\mathrm{sky}}}^{\ensuremath{\mathrm{id}}}$">|; 

$key = q/I_{{ensuremath{mathrm{source}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.14ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img8.svg"
 ALT="$I_{\ensuremath{\mathrm{source}}}$">|; 

$key = q/M(alpha,beta)slashsigma(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img73.svg"
 ALT="$M(\alpha,\beta)/\sigma(\alpha,\beta)$">|; 

$key = q/M(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img62.svg"
 ALT="$M(\alpha,\delta)$">|; 

$key = q/N';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.99ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img86.svg"
 ALT="$N'$">|; 

$key = q/N(N-1)slash2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img94.svg"
 ALT="$N (N-1) /2$">|; 

$key = q/N(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img68.svg"
 ALT="$N(\alpha,\delta)$">|; 

$key = q/N-1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.99ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img95.svg"
 ALT="$N-1$">|; 

$key = q/N;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img10.svg"
 ALT="$N$">|; 

$key = q/S(u,v)=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img16.svg"
 ALT="$S(u,v) = 0$">|; 

$key = q/S(u,v)=1slashsigma^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.72ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img14.svg"
 ALT="$S(u,v) = 1/\sigma^2$">|; 

$key = q/S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img13.svg"
 ALT="$S$">|; 

$key = q/V(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img11.svg"
 ALT="$V(u,v)$">|; 

$key = q/V(u=0,v=0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img60.svg"
 ALT="$V(u=0,v=0)$">|; 

$key = q/V=mbox{FT}{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.62ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img12.svg"
 ALT="$V = \mbox{FT}\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}$">|; 

$key = q/V_{ij}V_{jk}V_{ki};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.50ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img115.svg"
 ALT="$V_{ij} V_{jk} V_{ki}$">|; 

$key = q/V_{mod}(i,j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img101.svg"
 ALT="$V_{mod}(i,j)$">|; 

$key = q/V_{mod};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.48ex; " SRC="|."$dir".q|img112.svg"
 ALT="$V_{mod}$">|; 

$key = q/V_{obs}(k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img108.svg"
 ALT="$V_{obs}(k)$">|; 

$key = q/V_{obs}slashV_{{rm{mod};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img111.svg"
 ALT="$V_{obs}/V_{\rm mod}$">|; 

$key = q/V_{{rm{mod(i,j)}=(1.0,0.0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.84ex; vertical-align: -1.00ex; " SRC="|."$dir".q|img103.svg"
 ALT="$V_{\rm mod(i,j)} = (1.0,0.0)$">|; 

$key = q/V_{{rm{mod}(k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img109.svg"
 ALT="$V_{\rm mod}(k)$">|; 

$key = q/V_{{rm{mod};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.48ex; " SRC="|."$dir".q|img104.svg"
 ALT="$V_{\rm mod}$">|; 

$key = q/V_{{rm{obs(k=0)}=V_{{rm{obs};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.69ex; vertical-align: -1.00ex; " SRC="|."$dir".q|img107.svg"
 ALT="$V_{\rm obs(k=0)} = V_{\rm obs} $">|; 

$key = q/V_{{rm{obs}(k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img105.svg"
 ALT="$V_{\rm obs}(k)$">|; 

$key = q/V_{{rm{obs};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.17ex; vertical-align: -0.48ex; " SRC="|."$dir".q|img114.svg"
 ALT="$V_{\rm obs}$">|; 

$key = q/V_{{rm{true}(i,j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img99.svg"
 ALT="$V_{\rm true}(i,j)$">|; 

$key = q/W(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img25.svg"
 ALT="$W(u,v)$">|; 

$key = q/W.S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img31.svg"
 ALT="$W.S$">|; 

$key = q/W;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img30.svg"
 ALT="$W$">|; 

$key = q/W=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img32.svg"
 ALT="$W = 1$">|; 

$key = q/X;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img141.svg"
 ALT="$X$">|; 

$key = q/X=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img136.svg"
 ALT="$X=0$">|; 

$key = q/a=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.70ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img133.svg"
 ALT="$a=1$">|; 

$key = q/ast;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.29ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img20.svg"
 ALT="$\ast$">|; 

$key = q/d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img74.svg"
 ALT="$d$">|; 

$key = q/displaystyleB_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{W.Sright}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.96ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img28.svg"
 ALT="$\displaystyle B_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ W.S \right\}}
$">|; 

$key = q/displaystyleI_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{S.Vright}}{.;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.96ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img18.svg"
 ALT="$\displaystyle I_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ S.V \right\}}.
$">|; 

$key = q/displaystyleI_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{W.S.Vright}}{.;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.96ex; vertical-align: -0.81ex; " SRC="|."$dir".q|img29.svg"
 ALT="$\displaystyle I_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ W.S.V \right\}}.
$">|; 

$key = q/displaystyleI_{ensuremath{mathrm{meas}}{^{ensuremath{mathrm{sd}}{=B_{ensuremath{mathrm{sd}}{starI_{ensuremath{mathrm{source}}{+N,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.91ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img78.svg"
 ALT="$\displaystyle I_\ensuremath{\mathrm{meas}}^\ensuremath{\mathrm{sd}} = B_\ensuremath{\mathrm{sd}} \star I_\ensuremath{\mathrm{source}} + N,
$">|; 

$key = q/displaystyleI_{ensuremath{mathrm{sky}}{^{ensuremath{mathrm{id}}{=B_{ensuremath{mathrm{clean}}{starI_{ensuremath{mathrm{source}}{+N',;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.24ex; vertical-align: -1.01ex; " SRC="|."$dir".q|img84.svg"
 ALT="$\displaystyle I_\ensuremath{\mathrm{sky}}^\ensuremath{\mathrm{id}} = B_\ensuremath{\mathrm{clean}} \star I_\ensuremath{\mathrm{source}} + N',
$">|; 

$key = q/displaystyleV(u,v)=mbox{FT}{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{(u,v)+N;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.62ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img55.svg"
 ALT="$\displaystyle V(u,v) = \mbox{FT}\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}(u,v)+N
$">|; 

$key = q/displaystyleV_{{rm{obs}(i,j,t)=G(i,t)G^{{star}}(j,t)V_{{rm{true}(i,j)+Noise;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img97.svg"
 ALT="$\displaystyle V_{\rm obs}(i,j,t) = G(i,t) G^{{\star}}(j,t) V_{\rm true}(i,j) + Noise
$">|; 

$key = q/displaystyleV_{{rm{obs}(k+1)=frac{V_{obs}(k)}{(G_iG^{{star}}_j)};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 6.09ex; vertical-align: -2.69ex; " SRC="|."$dir".q|img110.svg"
 ALT="$\displaystyle V_{\rm obs}(k+1) = \frac {V_{obs}(k)}{(G_i G^{{\star}}_j)}
$">|; 

$key = q/displaystyleW=exp{ensuremath{displaystyleleft{-frac{ensuremath{displaystyleleft(u^2+v^2right)}}{t^2}right}}{,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 8.12ex; vertical-align: -3.34ex; " SRC="|."$dir".q|img33.svg"
 ALT="$\displaystyle W = \exp\ensuremath{\displaystyle\left\{ -\frac{\ensuremath{\displaystyle\left( u^2+v^2 \right) }}{t^2} \right\}},
$">|; 

$key = q/displaystylefrac{V_{{rm{obs}(i,j,t)}{V_{{rm{mod}(i,j)}=G(i,t)G^{{star}}(j,t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.68ex; vertical-align: -2.28ex; " SRC="|."$dir".q|img102.svg"
 ALT="$\displaystyle \frac{V_{\rm obs}(i,j,t)}{V_{\rm mod}(i,j)} = G(i,t) G^{{\star}}(j,t)
$">|; 

$key = q/displaystylembox{V(u,v)=mbox{FT}{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{(u,v)+N};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.62ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img5.svg"
 ALT="$\displaystyle \mbox{
V(u,v) = \mbox{FT}\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}(u,v)+N
}
$">|; 

$key = q/f(uv);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img91.svg"
 ALT="$f(uv)$">|; 

$key = q/f(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img122.svg"
 ALT="$f(x)$">|; 

$key = q/f;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img57.svg"
 ALT="$f$">|; 

$key = q/gamma.{ensuremath{mathrm{max}}{({ensuremath{left|I_ensuremath{mathrm{res}}right|}{);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img46.svg"
 ALT="$\gamma.\ensuremath{\mathrm{max}}(\ensuremath{\left\vert I_\ensuremath{\mathrm{res}} \right\vert})$">|; 

$key = q/gamma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img47.svg"
 ALT="$\gamma$">|; 

$key = q/gamma=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.15ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img49.svg"
 ALT="$\gamma =1$">|; 

$key = q/gammasimeq0.1-0.2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.15ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img52.svg"
 ALT="$\gamma \simeq 0.1 - 0.2$">|; 

$key = q/ge;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.00ex; vertical-align: -0.42ex; " SRC="|."$dir".q|img77.svg"
 ALT="$\ge$">|; 

$key = q/h(x)=af(x)+bg(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img125.svg"
 ALT="$h(x) = a f(x) + b g(x)$">|; 

$key = q/h(x)=bar{f}(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.71ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img134.svg"
 ALT="$h(x) = \bar{f}(x)$">|; 

$key = q/h(x)=e^{2ipixX_0}f(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.79ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img129.svg"
 ALT="$h(x) = e^{2i\pi x X_0} f(x)$">|; 

$key = q/h(x)=f(ax);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img131.svg"
 ALT="$h(x) = f(ax)$">|; 

$key = q/h(x)=f(x)*g(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img138.svg"
 ALT="$h(x)= f(x) * g(x)$">|; 

$key = q/h(x)=f(x-x_0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img127.svg"
 ALT="$h(x) = f(x-x_0)$">|; 

$key = q/i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.74ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img65.svg"
 ALT="$i$">|; 

$key = q/j;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.19ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img96.svg"
 ALT="$j$">|; 

$key = q/k;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img106.svg"
 ALT="$k$">|; 

$key = q/lambdaslashB;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img120.svg"
 ALT="$\lambda/B$">|; 

$key = q/mbox{FT}{ensuremath{displaystyleleft{Fright}}{(f);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img56.svg"
 ALT="$\mbox{FT}\ensuremath{\displaystyle\left\{ F \right\}}(f)$">|; 

$key = q/mbox{FT}{ensuremath{displaystyleleft{Fright}}{(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img6.svg"
 ALT="$\mbox{FT}\ensuremath{\displaystyle\left\{ F \right\}}(u,v)$">|; 

$key = q/n_{mathrm{comp}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.88ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img51.svg"
 ALT="$n_{\mathrm{comp}}$">|; 

$key = q/p;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img40.svg"
 ALT="$p$">|; 

$key = q/propto(1-gamma)^{n_{{mathrm{comp}}}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img50.svg"
 ALT="$\propto
(1-\gamma)^{n_{{\mathrm{comp}}}}$">|; 

$key = q/q;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img41.svg"
 ALT="$q$">|; 

$key = q/sigma(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img69.svg"
 ALT="$\sigma(\alpha,\beta)$">|; 

$key = q/sigma_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.56ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img67.svg"
 ALT="$\sigma_i$">|; 

$key = q/sigma{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img15.svg"
 ALT="$\sigma{}$">|; 

$key = q/simD;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.79ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img76.svg"
 ALT="$\sim D$">|; 

$key = q/simd;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.82ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img75.svg"
 ALT="$\sim d$">|; 

$key = q/t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.64ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img34.svg"
 ALT="$t$">|; 

$key = q/times;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.75ex; vertical-align: -0.30ex; " SRC="|."$dir".q|img2.svg"
 ALT="$\times$">|; 

$key = q/u,v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.66ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img58.svg"
 ALT="$u,v$">|; 

$key = q/uv;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img43.svg"
 ALT="$uv$">|; 

$key = q/x,X;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.24ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img142.svg"
 ALT="$x,X$">|; 

$key = q/x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.21ex; vertical-align: -0.11ex; " SRC="|."$dir".q|img140.svg"
 ALT="$x$">|; 

$key = q/{deg};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.27ex; vertical-align: -0.56ex; " SRC="|."$dir".q|img38.svg"
 ALT="${\deg}$">|; 

$key = q/{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{=I_{{ensuremath{mathrm{point}}{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.62ex; vertical-align: -0.78ex; " SRC="|."$dir".q|img21.svg"
 ALT="$\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}} =
I_{\ensuremath{\mathrm{point}}}$">|; 

$key = q/{ensuremath{mathrm{max}}{({ensuremath{left|I_ensuremath{mathrm{res}}right|}{);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img45.svg"
 ALT="$\ensuremath{\mathrm{max}}(\ensuremath{\left\vert I_\ensuremath{\mathrm{res}} \right\vert})$">|; 

$key = q/|;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.69ex; " SRC="|."$dir".q|img1.svg"
 ALT="$\vert$">|; 

1;

