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


$key = q/T_{bg};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$ T_{bg}$">|; 

$key = q/displaystyleK_cleft(T_{sky}+T_{spill}+T_{rec}+T_aright);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="223" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img201.png"
 ALT="$\displaystyle K_c \left(T_{sky}+T_{spill}+T_{rec} + T_a \right)$">|; 

$key = q/T_{atm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$ T_{atm}$">|; 

$key = q/displaystyledeltaxfrac{xi}{f}left(1-frac{1}{sqrt{frac{r^2}{f^2}+left(1-frac{r^2}{4f^2}right)^2}}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="245" HEIGHT="100" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.png"
 ALT="$\displaystyle \delta x\frac{\xi}{f}\left(1-\frac{1}{\sqrt{\frac{r^2}{f^2}
+\left(1-\frac{r^2}{4f^2}\right)^2}}\right)$">|; 

$key = q/nu_3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img229.png"
 ALT="$ \nu_3$">|; 

$key = q/displaystylephi_3(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="$\displaystyle \phi_3 (\xi,\eta)$">|; 

$key = q/T_{sky};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$ T_{sky}$">|; 

$key = q/(1+g_{im});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$ (1+g_{im})$">|; 

$key = q/sigma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$ \sigma $">|; 

$key = q/T_{sys};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$ T_{sys}$">|; 

$key = q/displaystyleK_pleft(T_{hot}+T_{rec}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img195.png"
 ALT="$\displaystyle K_p \left(T_{hot}+T_{rec}\right)$">|; 

$key = q/deltat;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$ \delta t$">|; 

$key = q/displaystylephi_5(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="$\displaystyle \phi_5 (\xi,\eta)$">|; 

$key = q/displaystyleT_a^*=frac{eta_aA}{2k}S_{nu}=frac{1}{J}S_{nu};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$\displaystyle T_a^*=\frac{\eta_a A}{2k}S_{\nu} =\frac{1}{J} S_{\nu}$">|; 

$key = q/deltay;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.png"
 ALT="$ \delta y$">|; 

$key = q/{bfs}=(coshcosdelta,-sinhcosdelta,sindelta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="258" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="$ {\bf s}=(\cos h \cos
\delta, -\sin h\cos\delta,\sin\delta)$">|; 

$key = q/|;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="$ \vert$">|; 

$key = q/displaystyleF_{IF}(j,k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img175.png"
 ALT="$\displaystyle F_{IF}(j,k)$">|; 

$key = q/f;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="$ f$">|; 

$key = q/frac{pi}{2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$ \frac{\pi}{2}$">|; 

$key = q/displaystyleeta_f(1-e^{-tau_{atm}})T_{atm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="148" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$\displaystyle \eta_f (1-e^{-\tau_{atm}})T_{atm}$">|; 

$key = q/displaystylevarphi_{ij}+varphi_{jk}-varphi_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\displaystyle \varphi_{ij} + \varphi_{jk} - \varphi_{ik}$">|; 

$key = q/T_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img222.png"
 ALT="$ T_{ijk}$">|; 

$key = q/displaystyleT_{sky}+T_{spill}=(1-eta_f)left(frac{T_{emi,s}^{atm}+g_{im}T_{emi,i}^{atm}}{1+g_{im}}right)+eta_fT_{ground};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="439" HEIGHT="69" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img220.png"
 ALT="$\displaystyle T_{sky}+T_{spill} = (1-\eta_f) \left(\frac{T_{emi,s}^{atm}+g_{im}T_{emi,i}^{atm}}{1+g_{im}} \right)+\eta_f T_{ground}$">|; 

$key = q/displaystyle=;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$\displaystyle =$">|; 

$key = q/A_{ij}(t)slashsqrt{J_i*J_j};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$ A_{ij}(t)/ \sqrt{J_i*J_j}$">|; 

$key = q/displaystyleleft(k-i_{rest}(j)right)*deltaF_{rest}+F_{rest}^0(j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="241" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img178.png"
 ALT="$\displaystyle \left(k-i_{rest}(j)\right)*\delta F_{rest}+F_{rest}^0(j)$">|; 

$key = q/Deltatau;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="$ \Delta \tau$">|; 

$key = q/eta_p;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$ \eta_p$">|; 

$key = q/displaystyleP_{cold};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img196.png"
 ALT="$\displaystyle P_{cold}$">|; 

$key = q/(channel,sideband,baseline);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="226" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$ (channel,sideband,baseline)$">|; 

$key = q/displaystylephi_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="$\displaystyle \phi_{ijk}$">|; 

$key = q/displaystyleT_{emi}=frac{T_{sky}}{eta_f};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img210.png"
 ALT="$\displaystyle T_{emi} = \frac{T_{sky}}{\eta_f}$">|; 

$key = q/I_{nu};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$ I_{\nu}$">|; 

$key = q/{bfb}=(X_{ij},Y_{ij},Z_{ij});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$ {\bf b} = (X_{ij},Y_{ij},Z_{ij})$">|; 

$key = q/eta_I;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img152.png"
 ALT="$ \eta_I$">|; 

$key = q/T_{noise};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$ T_{noise}$">|; 

$key = q/left(xi,etaright);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="$ \left(\xi,\eta\right)$">|; 

$key = q/displaystyleF_{rest}(j,k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img177.png"
 ALT="$\displaystyle F_{rest}(j,k)$">|; 

$key = q/T_{emi};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img209.png"
 ALT="$ T_{emi}$">|; 

$key = q/b;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="$ b$">|; 

$key = q/A_{ij}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$ A_{ij}(t)$">|; 

$key = q/backslash;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="$ \backslash$">|; 

$key = q/u_k(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$ u_k(t)$">|; 

$key = q/displaystylefrac{1}{c}left(X_{ij}coshcosdelta-Y_{ij}sinhcosdelta+Z_{ij}sindeltaright);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="334" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img163.png"
 ALT="$\displaystyle \frac{1}{c}\left(X_{ij}\cos h\cos\delta - Y_{ij}\sin h\cos \delta
+Z_{ij}\sin \delta\right)$">|; 

$key = q/displaystyleT_{sky}=left(T_{hot}+T_{rec}right)frac{P_{sky}}{P_{hot}}-T_{rec}-T_{spill};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="303" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img208.png"
 ALT="$\displaystyle T_{sky} = \left(T_{hot}+T_{rec}\right)\frac{P_{sky}}{P_{hot}}-T_{rec}-T_{spill}$">|; 

$key = q/displaystylefrac{2pi}{lambda}{bfb_{cdot}s};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="$\displaystyle \frac{2\pi}{\lambda}{\bf b_{\cdot}s}$">|; 

$key = q/T_{sys,s};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img216.png"
 ALT="$ T_{sys,s}$">|; 

$key = q/b_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$ b_{ik}$">|; 

$key = q/F_{IF}^0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img183.png"
 ALT="$ F_{IF}^0$">|; 

$key = q/displaystyleK_cT_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img203.png"
 ALT="$\displaystyle K_c T_a$">|; 

$key = q/T_{hot};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$ T_{hot}$">|; 

$key = q/channel;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$ channel$">|; 

$key = q/(spectralwindow,sideband,baseline);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="286" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$ (spectral window, sideband,
baseline)$">|; 

$key = q/P_{hot};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="$ P_{hot}$">|; 

$key = q/^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$ ^2$">|; 

$key = q/a_{+};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img146.png"
 ALT="$ a_{+}$">|; 

$key = q/u,v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$ u,v$">|; 

$key = q/I,Q,U,V;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="$ I,Q,U,V$">|; 

$key = q/T_{cal};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img225.png"
 ALT="$ T_{cal}$">|; 

$key = q/eta_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$ \eta_a$">|; 

$key = q/1slashS;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$ 1/S$">|; 

$key = q/displaystyleK_pleft(T_{sky}+T_{spill}+T_{rec}+T_aright);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="224" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img199.png"
 ALT="$\displaystyle K_p \left(T_{sky}+T_{spill}+T_{rec} + T_a \right)$">|; 

$key = q/deltaF_{rest};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img186.png"
 ALT="$ \delta F_{rest}$">|; 

$key = q/displaystylewidetilde{varphi}_{ij}=phi_j-phi_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$\displaystyle \widetilde{\varphi}_{ij} = \phi_j - \phi_i$">|; 

$key = q/eta_q;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$ \eta_q$">|; 

$key = q/displaystylebxi;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="$\displaystyle b\xi$">|; 

$key = q/P;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img187.png"
 ALT="$ P$">|; 

$key = q/displaystyledeltayfrac{eta}{f}left(1-frac{1}{sqrt{frac{r^2}{f^2}+left(1-frac{r^2}{4f^2}right)^2}}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="244" HEIGHT="100" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="$\displaystyle \delta y\frac{\eta}{f}\left(1-\frac{1}{\sqrt{\frac{r^2}{f^2}
+\left(1-\frac{r^2}{4f^2}\right)^2}}\right)$">|; 

$key = q/displaystyleeta_I;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img155.png"
 ALT="$\displaystyle \eta_I$">|; 

$key = q/K_{p};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img189.png"
 ALT="$ K_{p}$">|; 

$key = q/displaystyleT_{triple}=frac{1-left(frac{nu_1}{nu_2}right)^2}{1-left(frac{nu_2}{night)^2right)-left(T_1-T_2left(frac{nu_1}{nu_2}right)^2right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="456" HEIGHT="90" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img231.png"
 ALT="$\displaystyle T_{triple} = \frac{1-\left(\frac{\nu_1}{\nu_2}\right)^2}{1-\left(...
...}{\nu_3}\right)^2\right)-\left(T_1-T_2\left(\frac{\nu_1}{\nu_2}\right)^2\right)$">|; 

$key = q/tau_{atm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$ \tau_{atm}$">|; 

$key = q/displaystyletau_g;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img161.png"
 ALT="$\displaystyle \tau_g$">|; 

$key = q/F_{IF}^{ref};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img166.png"
 ALT="$ F_{IF}^{ref}$">|; 

$key = q/displaystylea_{+}frac{xi^2-eta^2}{2f^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="$\displaystyle a_{+}\frac{\xi^2-\eta^2}{2f^2}$">|; 

$key = q/W_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$ W_{ij}$">|; 

$key = q/i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$ i$">|; 

$key = q/displaystylea;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$\displaystyle a$">|; 

$key = q/displaystylepsi_a=frac{arctan{(a_{times},a_{+})}}{2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.png"
 ALT="$\displaystyle \psi_a = \frac{\arctan{(a_{\times},a_{+})}}{2}$">|; 

$key = q/T_{rec};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$ T_{rec}$">|; 

$key = q/g_i(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$ g_i(t)$">|; 

$key = q/S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$ S$">|; 

$key = q/chi;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="$ \chi$">|; 

$key = q/v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img165.png"
 ALT="$ v$">|; 

$key = q/C_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img221.png"
 ALT="$ C_{ijk}$">|; 

$key = q/displaystyleP_a=kT_adeltanu;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$\displaystyle P_a = k T_a \delta\nu$">|; 

$key = q/eta_A;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img151.png"
 ALT="$ \eta_A$">|; 

$key = q/delta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img170.png"
 ALT="$ \delta$">|; 

$key = q/displaystyleK_pleft(T_{cold}+T_{rec}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img197.png"
 ALT="$\displaystyle K_p \left(T_{cold}+T_{rec}\right)$">|; 

$key = q/displaystylewidetilde{a}_{ij}=a_{i}{cdot}a_jcdotS;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$\displaystyle \widetilde{a}_{ij} = a_{i} {\cdot} a_j \cdot S$">|; 

$key = q/^circ;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img148.png"
 ALT="$ ^\circ$">|; 

$key = q/displaystyle|C_{ij}|;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img202.png"
 ALT="$\displaystyle \vert C_{ij}\vert$">|; 

$key = q/G_{ij}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$ G_{ij}(t)$">|; 

$key = q/~130;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$&nbsp;130$">|; 

$key = q/>2d^2slashlambda;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$ &gt; 2d^2/\lambda$">|; 

$key = q/displaystylefrac{lvertint_AA(xi,eta)exp(iphi(xi,eta))dxidetarvert^2}{pir^2int_AA(xi,eta)^2dxideta};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="234" HEIGHT="64" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img154.png"
 ALT="$\displaystyle \frac{\lvert \int_A A(\xi,\eta)\exp(i \phi (\xi,\eta))d\xi d\eta
\rvert^2}{\pi r^2\int_A A(\xi,\eta)^2d\xi d\eta}$">|; 

$key = q/|C_{ij}|;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img204.png"
 ALT="$ \vert C_{ij}\vert$">|; 

$key = q/T_{sky}+T_{spill}+T_{rec};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img206.png"
 ALT="$ T_{sky}+T_{spill}+T_{rec}$">|; 

$key = q/a_{times};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img147.png"
 ALT="$ a_{\times}$">|; 

$key = q/A;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$ A$">|; 

$key = q/displaystyleF_{LO1}=F_{rest}^{ref}left(1+delta-frac{v}{c}right)mpF_{IF}^{ref};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="255" HEIGHT="49" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img173.png"
 ALT="$\displaystyle F_{LO1} = F_{rest}^{ref}\left(1+\delta-\frac{v}{c}\right)\mp F_{IF}^{ref}$">|; 

$key = q/displaystyleT_{sky};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$\displaystyle T_{sky}$">|; 

$key = q/J_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$ J_i$">|; 

$key = q/displaystyleT_b=frac{c^2}{2knu^2}I_{nu};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$\displaystyle T_b = \frac{c^2}{2 k\nu^2} I_{\nu}$">|; 

$key = q/nu^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img230.png"
 ALT="$ \nu^2$">|; 

$key = q/e^{-tau_{atm}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="22" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$ e^{-\tau_{atm}}$">|; 

$key = q/T;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img188.png"
 ALT="$ T$">|; 

$key = q/deltax;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img143.png"
 ALT="$ \delta x$">|; 

$key = q/deltaz;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img145.png"
 ALT="$ \delta z$">|; 

$key = q/g_{im};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$ g_{im}$">|; 

$key = q/e^{-phi^2slash2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="$ e^{-\phi^2/2}$">|; 

$key = q/displaystyleV_{ij}(t)=a_{ij}(t)e^{ivarphi_{ij}(t)};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$\displaystyle V_{ij}(t) = a_{ij} (t) e^{i\varphi_{ij}(t)}$">|; 

$key = q/displaystylefrac{a_{ij}a_{kl}}{a_{ik}a_{jl}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="49" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$\displaystyle \frac{a_{ij}a_{kl}}{a_{ik}a_{jl}}$">|; 

$key = q/B_{ijk}=b_{ik}b_{jk}^*;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$ B_{ijk} = b_{ik}b_{jk}^*$">|; 

$key = q/g_{i}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="$ g_{i}(t)$">|; 

$key = q/nu_1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img227.png"
 ALT="$ \nu_1$">|; 

$key = q/J=frac{2k}{eta_aA};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$ J = \frac{2k}{\eta_a A}$">|; 

$key = q/c;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="$ c$">|; 

$key = q/F_{IF}=pm(F_{topo}-F_{LO1});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="181" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.png"
 ALT="$ F_{IF} = \pm(F_{topo}-F_{LO1})$">|; 

$key = q/T_{emi,i}^{atm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img212.png"
 ALT="$ T_{emi,i}^{atm}$">|; 

$key = q/r=sqrt{xi^2+eta^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="45" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="$ r=\sqrt{\xi^2+\eta^2}$">|; 

$key = q/displaystylephi_8(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="$\displaystyle \phi_8 (\xi,\eta)$">|; 

$key = q/T_a^*;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$ T_a^*$">|; 

$key = q/T_{sys,i};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img217.png"
 ALT="$ T_{sys,i}$">|; 

$key = q/cos(El);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$ \cos(El)$">|; 

$key = q/F_{rest}^0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img185.png"
 ALT="$ F_{rest}^0$">|; 

$key = q/displaystylewidetilde{A_{ij}}=K_pT_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img192.png"
 ALT="$\displaystyle \widetilde{A_{ij}} = K_p T_{ij}$">|; 

$key = q/tau_{atm,i};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img214.png"
 ALT="$ \tau_{atm,i}$">|; 

$key = q/displaystyleleft(k-i_{IF}(j)right)*deltaF_{topo}+F_{IF}^0(j);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img176.png"
 ALT="$\displaystyle \left(k-i_{IF}(j)\right)*\delta F_{topo}+F_{IF}^0(j)$">|; 

$key = q/displaystyleP_{hot};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img194.png"
 ALT="$\displaystyle P_{hot}$">|; 

$key = q/C_{ii};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img205.png"
 ALT="$ C_{ii}$">|; 

$key = q/displaystyleeta_A;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img153.png"
 ALT="$\displaystyle \eta_A$">|; 

$key = q/F_{rest};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img167.png"
 ALT="$ F_{rest}$">|; 

$key = q/F_{LO1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img174.png"
 ALT="$ F_{LO1}$">|; 

$key = q/psi_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img149.png"
 ALT="$ \psi_a$">|; 

$key = q/T_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img226.png"
 ALT="$ T_i$">|; 

$key = q/alpha;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="$ \alpha$">|; 

$key = q/10^6;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$ 10^6$">|; 

$key = q/displaystyleC_{ii};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img200.png"
 ALT="$\displaystyle C_{ii}$">|; 

$key = q/T_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$ T_a$">|; 

$key = q/v_k(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$ v_k(t)$">|; 

$key = q/displaystyleT_{rec}=frac{P_{cold}T_{hot}-P_{hot}{T_{cold}}}{P_{hot}-P_{cold}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="214" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img207.png"
 ALT="$\displaystyle T_{rec} = \frac{P_{cold}T_{hot}-P_{hot}{T_{cold}}}{P_{hot}-P_{cold}}$">|; 

$key = q/eta_f;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$ \eta_f$">|; 

$key = q/F_{rest}^{ref};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img164.png"
 ALT="$ F_{rest}^{ref}$">|; 

$key = q/F_{topo};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img168.png"
 ALT="$ F_{topo}$">|; 

$key = q/displaystylesigma=frac{1}{eta_qeta_p}frac{sqrt{2}k}{eta_aA}frac{T_{sys}}{sqrt{deltanudeltat}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="162" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$\displaystyle \sigma= \frac{1}{\eta_q\eta_p}\frac{\sqrt{2}k}{\eta_a A}\frac{T_{sys}}{\sqrt{\delta\nu\delta t}}$">|; 

$key = q/n;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$ n$">|; 

$key = q/k;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$ k$">|; 

$key = q/tau_{atm,s};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img213.png"
 ALT="$ \tau_{atm,s}$">|; 

$key = q/displaystyleF_{IF}=pmleft(F_{rest}left(1+delta-frac{v}{c}right)-F_{LO1}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="286" HEIGHT="49" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img172.png"
 ALT="$\displaystyle F_{IF} = \pm \left(F_{rest} \left(1+\delta-\frac{v}{c}\right) - F_{LO1}\right)$">|; 

$key = q/V_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$ V_{ij}$">|; 

$key = q/b_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$ b_{ijk}(t)$">|; 

$key = q/displaystyleF_{topo}=F_{rest}left(1+delta-frac{v}{c}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="197" HEIGHT="49" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img169.png"
 ALT="$\displaystyle F_{topo} = F_{rest} \left(1+\delta-\frac{v}{c} \right)$">|; 

$key = q/B,_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="$ B,_{ijk}$">|; 

$key = q/T_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img193.png"
 ALT="$ T_{ij}$">|; 

$key = q/displaystyledeltap=deltaphitimesfrac{lambda}{4pi}timessqrt{1+frac{r^2}{4f^2}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="207" HEIGHT="74" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img158.png"
 ALT="$\displaystyle \delta p = \delta \phi \times \frac{\lambda}{4\pi}\times\sqrt{1+\frac{r^2} {4f^2}}$">|; 

$key = q/deltanu;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$ \delta\nu$">|; 

$key = q/displaystyleT_{spill};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$\displaystyle T_{spill}$">|; 

$key = q/i_{IF};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img182.png"
 ALT="$ i_{IF}$">|; 

$key = q/displaystylewidetilde{V}_{ijk}=g_i(t)g_j^*(t)b_{ijk}(t)V_{ij}(u_k(t),v_k(t))+noiseterm;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="391" HEIGHT="43" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle \widetilde{V}_{ijk} = g_i(t) g_j^*(t) b_{ijk}(t) V_{ij}(u_k(t),v_k(t)) + noise term$">|; 

$key = q/10^{-3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="$ 10^{-3}$">|; 

$key = q/displaystylefrac{2pi}{lambda_k}left(X_{ij}coshcosdelta-Y_{ij}sinhcosdelta+Z_{ij}sindeltaright);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="345" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="$\displaystyle \frac{2\pi}{\lambda_k}\left( X_{ij} \cos h\cos \delta -
Y_{ij}\sin h\cos\delta + Z_{ij}\sin\delta\right)$">|; 

$key = q/pm;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$ \pm$">|; 

$key = q/displaystyleceta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="$\displaystyle c\eta$">|; 

$key = q/displaystyleT_{sys,i}=frac{e^{tau_i}left(T_{hot}-T_{sky}-T_{spill}right)(1+frac{1}{g_{im}})}{eta_f}frac{P_{sky}}{P_{hot}-P_{sky}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="410" HEIGHT="72" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img219.png"
 ALT="$\displaystyle T_{sys,i} = \frac{e^{\tau_i}\left(T_{hot}-T_{sky}-T_{spill}\right)(1+\frac{1}{g_{im}})}{\eta_f}\frac{P_{sky}}{P_{hot}-P_{sky}}$">|; 

$key = q/displaystyle2pitau_gnu_{RF};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="$\displaystyle 2\pi \tau_g \nu_{RF}$">|; 

$key = q/displaystylefrac{widetilde{a}_{ij}widetilde{a}_{kl}}{widetilde{a}_{ik}widetilde{a}_{jl}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$\displaystyle \frac{\widetilde{a}_{ij}\widetilde{a}_{kl}}
{\widetilde{a}_{ik}\widetilde{a}_{jl}}$">|; 

$key = q/T_b;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$ T_b$">|; 

$key = q/G_{ij}(t)=g_i(t)g_j^*(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$ G_{ij}(t)=
g_i(t)g_j^*(t)$">|; 

$key = q/a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="$ a$">|; 

$key = q/T_{emi,s}^{atm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img211.png"
 ALT="$ T_{emi,s}^{atm}$">|; 

$key = q/displaystylephi_1(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="$\displaystyle \phi_1 (\xi,\eta)$">|; 

$key = q/n_{ch};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img181.png"
 ALT="$ n_{ch}$">|; 

$key = q/displaystylephi_7(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="$\displaystyle \phi_7 (\xi,\eta)$">|; 

$key = q/S_{nu};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$ S_{\nu}$">|; 

$key = q/displaystylesigma=frac{1}{eta_qeta_p}frac{2k}{eta_aA}frac{T_{sys}}{sqrt{n(n-1)deltanudeltat}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="226" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$\displaystyle \sigma= \frac{1}{\eta_q\eta_p}\frac{2k}{\eta_a A}\frac{T_{sys}}{\sqrt{n(n-1)\delta\nu\delta t}}$">|; 

$key = q/displaystyleP_{sky};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img198.png"
 ALT="$\displaystyle P_{sky}$">|; 

$key = q/P_{sky};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="$ P_{sky}$">|; 

$key = q/widetilde{V}_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="43" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$ \widetilde{V}_{ijk}$">|; 

$key = q/displaystyledeltazleft(1-frac{1-frac{r^2}{4f^2}}{sqrt{frac{r^2}{f^2}+(1-frac{r^2}{4f^2})^2}}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="80" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="$\displaystyle \delta z \left(1-\frac{1-\frac{r^2}{4f^2}}{\sqrt{\frac{r^2}{f^2}+(1- \frac{r^2}{4f^2})^2}}\right)$">|; 

$key = q/displaystylefrac{{bfb_{cdot}s}}{c};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img162.png"
 ALT="$\displaystyle \frac{{\bf b_{\cdot} s}}{c}$">|; 

$key = q/displaystylea_{times}frac{2xieta}{2f^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="$\displaystyle a_{\times}\frac{2\xi \eta}{2f^2}$">|; 

$key = q/displaystyleT_{sys,s}=frac{e^{tau_s}left(T_{hot}-T_{sky}-T_{spill}right)(1+g_{im})}{eta_f}frac{P_{sky}}{P_{hot}-P_{sky}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="413" HEIGHT="59" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img218.png"
 ALT="$\displaystyle T_{sys,s} = \frac{e^{\tau_s}\left(T_{hot}-T_{sky}-T_{spill}\right)(1+g_{im})}{\eta_f}\frac{P_{sky}}{P_{hot}-P_{sky}}$">|; 

$key = q/K_c;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img224.png"
 ALT="$ K_c$">|; 

$key = q/(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img232.png"
 ALT="$ (u,v)$">|; 

$key = q/nu_2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img228.png"
 ALT="$ \nu_2$">|; 

$key = q/displaystyletau_g=frac{bf{b_{cdot}s}}{c};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$\displaystyle \tau_g = \frac{\bf {b_{\cdot}s}}{c}$">|; 

$key = q/T_{spill};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$ T_{spill}$">|; 

$key = q/displaystyleJ=frac{2k}{eta_Apir^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img157.png"
 ALT="$\displaystyle J=\frac{2k}{\eta_A \pi r^2}$">|; 

$key = q/n+2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$ n+2$">|; 

$key = q/displaystyleT_{sys}=frac{1+g_{im}}{eta_f}e^{tau_{atm}}T_{noise};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="198" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$\displaystyle T_{sys} = \frac{1+g_{im}}{\eta_f}e^{\tau_{atm}} T_{noise}$">|; 

$key = q/displaystyleT_{emi}-frac{T_{emi,s}^{atm}+g_{im}T_{emi,i}^{atm}}{1+g_{im}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="65" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img215.png"
 ALT="$\displaystyle T_{emi} - \frac{T_{emi,s}^{atm}+g_{im}T_{emi,i}^{atm}}{1+g_{im}}$">|; 

$key = q/t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$ t$">|; 

$key = q/displaystylephi_6(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="$\displaystyle \phi_6 (\xi,\eta)$">|; 

$key = q/displaystylewidetilde{A_{ij}}=a_ia_jleft(I+Qcos(2chi)+Usin(2chi)right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="296" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$\displaystyle \widetilde{A_{ij}}= a_i a_j \left(I+ Q\cos(2\chi)+U\sin(2\chi)\right)$">|; 

$key = q/4pi;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$ 4\pi$">|; 

$key = q/ij;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$ ij$">|; 

$key = q/phi_j-phi_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img159.png"
 ALT="$ \phi_j-\phi_i$">|; 

$key = q/P=frac{sqrt{Q^2+U^2}}{I};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$ P=\frac{\sqrt{Q^2+U^2}}{I}$">|; 

$key = q/displaystyle(1-eta_f)T_{ground};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="119" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$\displaystyle (1-\eta_f)T_{ground}$">|; 

$key = q/phi;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$ \phi$">|; 

$key = q/P_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$ P_a$">|; 

$key = q/displaystyleT_{ijk}=frac{C_{ijk}}{sqrt{C_{iik}C_{jjk}}}sqrt{T_{sys}(i)T_{sys}(j)};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img223.png"
 ALT="$\displaystyle T_{ijk} = \frac{C_{ijk}}{\sqrt{C_{iik}C_{jjk}}} \sqrt{T_{sys}(i)T_{sys}(j)}$">|; 

$key = q/displaystylephi_2(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$\displaystyle \phi_2 (\xi,\eta)$">|; 

$key = q/deltaF_{topo};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img179.png"
 ALT="$ \delta F_{topo}$">|; 

$key = q/displaystyleG_{ij}(t)=g_i(t){cdot}g_j^*(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="148" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="$\displaystyle G_{ij}(t) = g_i(t) {\cdot} g_j^*(t)$">|; 

$key = q/displaystylephi=pm2piDeltataunu_{IF1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$\displaystyle \phi = \pm 2\pi\Delta \tau \nu_{IF1}$">|; 

$key = q/A_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$ A_{ij}$">|; 

$key = q/deltaF_{topo}=deltaF_{rest}left(1+delta-frac{v}{c}right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="207" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img180.png"
 ALT="$ \delta F_{topo} = \delta
F_{rest}\left(1+\delta- \frac{v}{c}\right)$">|; 

$key = q/i_{ref};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img184.png"
 ALT="$ i_{ref}$">|; 

$key = q/K_{c};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img191.png"
 ALT="$ K_{c}$">|; 

$key = q/displaystylewidetilde{varphi}_{ij}+widetilde{varphi}_{jk}-widetilde{varphi}_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$\displaystyle \widetilde{\varphi}_{ij} + \widetilde{\varphi}_{jk} - \widetilde{\varphi}_{ik}$">|; 

$key = q/displaystylewidetilde{V_{ij}}=g_{i}{cdot}g_j^*S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="$\displaystyle \widetilde{V_{ij}} = g_{i} {\cdot} g_j^*S$">|; 

$key = q/j;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$ j$">|; 

$key = q/sqrt{J_i*J_j};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$ \sqrt{J_i*J_j}$">|; 

$key = q/displaystyleP=K_{p}T;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img190.png"
 ALT="$\displaystyle P = K_{p} T$">|; 

$key = q/displaystylephi_4(xi,eta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="$\displaystyle \phi_4 (\xi,\eta)$">|; 

$key = q/displaystylefrac{lvertint_AA(xi,eta)dxidetarvert^2}{pir^2int_AA(xi,eta)^2dxideta};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="155" HEIGHT="64" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img156.png"
 ALT="$\displaystyle \frac{\lvert \int_A A(\xi,\eta)d\xi d\eta
\rvert^2}{\pi r^2\int_A A(\xi,\eta)^2d\xi d\eta}$">|; 

$key = q/displaystyle(T_{hot}+T_{rec})timesfrac{P_{sky}}{P_{hot}}-T_{rec}=eta_ftimesAirmasstimestau_{zenith}+(1-eta_f)timesT_{ground};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="561" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$\displaystyle (T_{hot}+T_{rec})\times \frac{P_{sky}}{P_{hot}} - T_{rec} = \eta_f \times Airmass \times \tau_{zenith} + (1-\eta_f)\times T_{ground}$">|; 

$key = q/displaystyleT_{noise}=T_{bg}+T_{sky}+T_{spill}+T_{rec};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="256" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$\displaystyle T_{noise} = T_{bg} + T_{sky} + T_{spill} + T_{rec}$">|; 

$key = q/displaystyleW_{ij}=frac{1}{sigma_{ij}^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$\displaystyle W_{ij} = \frac{1}{\sigma_{ij}^2}$">|; 

$key = q/displaystyleT_a^*=frac{(1+g_{im})}{eta_f}e^{tau_{atm}}T_a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$\displaystyle T_a^* = \frac{(1+g_{im})}{\eta_f}e^{\tau_{atm}}T_a$">|; 

$key = q/^{1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$ ^{1}$">|; 

$key = q/phi_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img160.png"
 ALT="$ \phi_i$">|; 

1;

