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


$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 6.49ex; vertical-align: -2.60ex; " SRC="|."$dir".q|img17.svg"
 ALT="$\displaystyle
T_{\rm B}^{\rm mg}(\nu) = T_{{\rm cont}, \nu} + \sum_{i=1}^{N_1...
...m ex},i})-J_\nu(T_{\rm cmb})-T_{{\rm cont}, \nu}\right) (1-e^{-\tau_{\nu,i}})
$">|; 

$key = q/J_nu(T)=frac{hnuslashk}{e^{hnuslashkT}-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 3.45ex; vertical-align: -1.12ex; " SRC="|."$dir".q|img10.svg"
 ALT="$J_\nu(T) = \frac{h\nu/k}{e^{h\nu/kT}-1}$">|; 

$key = q/N_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img16.svg"
 ALT="$N_1$">|; 

$key = q/N_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img18.svg"
 ALT="$N_2$">|; 

$key = q/T_{{rm{B}(nu)=T_{{rm{B}^{N_2}(nu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.84ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img25.svg"
 ALT="$T_{\rm B}(\nu) = T_{\rm B}^{N_2}(\nu)$">|; 

$key = q/T_{{rm{B}(nu)=T_{{rm{B}^{{rm{mg}(nu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.53ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img26.svg"
 ALT="$T_{\rm B}(\nu) = T_{\rm B}^{\rm mg}(\nu)$">|; 

$key = q/T_{{rm{B}^0(nu)=T_{{rm{B}^{{rm{mg}(nu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.61ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img21.svg"
 ALT="$T_{\rm B}^0(\nu) = T_{\rm B}^{\rm mg}(\nu)$">|; 

$key = q/T_{{rm{cmb};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img9.svg"
 ALT="$T_{\rm cmb}$">|; 

$key = q/T_{{rm{ex};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.12ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img8.svg"
 ALT="$T_{\rm ex}$">|; 

$key = q/T_{{{rm{cont},,nu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.42ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img5.svg"
 ALT="$T_{{\rm cont}, \nu}$">|; 

$key = q/displaystyleT_{{rm{B}(nu)=J_nu(T_{{rm{ex})(1-e^{-tau_nu})+T_{{{rm{cont},,nu}e^{-tau_nu}+J_nu(T_{{rm{cmb})e^{-tau_nu}-J_nu(T_{{rm{cmb}),,,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.73ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img6.svg"
 ALT="$\displaystyle
T_{\rm B}(\nu) = J_\nu(T_{\rm ex}) (1-e^{-\tau_\nu}) + T_{{\rm c...
...nu} e^{-\tau_\nu} + J_\nu(T_{\rm cmb}) e^{-\tau_\nu} - J_\nu(T_{\rm cmb}) \&#8222;
$">|; 

$key = q/displaystyleT_{{rm{B}(nu)=T_{{rm{B}^{N_2}(nu)-T_{{{rm{cont},,nu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.91ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img23.svg"
 ALT="$\displaystyle
T_{\rm B}(\nu) = T_{\rm B}^{N_2}(\nu)-T_{{\rm cont}, \nu}
$">|; 

$key = q/displaystyleT_{{rm{B}(nu)=T_{{rm{B}^{{rm{mg}(nu)-T_{{{rm{cont},,nu};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.60ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img24.svg"
 ALT="$\displaystyle
T_{\rm B}(\nu) = T_{\rm B}^{\rm mg}(\nu)-T_{{\rm cont}, \nu}
$">|; 

$key = q/displaystyleT_{{rm{B}(nu)=T_{{{rm{cont},,nu}+etaleft(J_nu(T_{{rm{ex})-J_nu(T_{{rm{cmb})-T_{{{rm{cont},,nu}right)(1-e^{-tau_nu});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.73ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img15.svg"
 ALT="$\displaystyle
T_{\rm B}(\nu) = T_{{\rm cont}, \nu} + \eta\left(J_\nu(T_{\rm ex})-J_\nu(T_{\rm cmb})-T_{{\rm cont}, \nu}\right) (1-e^{-\tau_\nu})
$">|; 

$key = q/displaystyleT_{{rm{B}(nu)=T_{{{rm{cont},,nu}+left(J_nu(T_{{rm{ex})-J_nu(T_{{rm{cmb})-T_{{{rm{cont},,nu}right)(1-e^{-tau_nu});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.73ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img13.svg"
 ALT="$\displaystyle
T_{\rm B}(\nu) = T_{{\rm cont}, \nu} + \left(J_\nu(T_{\rm ex})-J_\nu(T_{\rm cmb})-T_{{\rm cont}, \nu}\right) (1-e^{-\tau_\nu})
$">|; 

$key = q/displaystyleT_{{rm{B}^j(nu)=T_{{rm{B}^{j-1}(nu)e^{-tau_{nu,j}}+eta_jleft(J_nu(T_{{{rm{ex},j})-J_nu(T_{{rm{cmb})right)(1-e^{-tau_{nu,j}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.96ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img19.svg"
 ALT="$\displaystyle
T_{\rm B}^j(\nu) = T_{\rm B}^{j-1}(\nu)e^{-\tau_{\nu,j}} + \eta_j\left(J_\nu(T_{{\rm ex},j})-J_\nu(T_{\rm cmb})\right) (1-e^{-\tau_{\nu,j}})
$">|; 

$key = q/eta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.64ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img14.svg"
 ALT="$\eta$">|; 

$key = q/eta_j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.84ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img22.svg"
 ALT="$\eta_j$">|; 

$key = q/ge;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.98ex; vertical-align: -0.41ex; " SRC="|."$dir".q|img1.svg"
 ALT="$\ge$">|; 

$key = q/h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.80ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img11.svg"
 ALT="$h$">|; 

$key = q/includegraphics[width=14cm]{weeds-f1};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 62.12ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img2.svg"
 ALT="\includegraphics[width=14cm]{weeds-f1}">|; 

$key = q/includegraphics[width=14cm]{weeds-f2};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 61.17ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img3.svg"
 ALT="\includegraphics[width=14cm]{weeds-f2}">|; 

$key = q/includegraphics[width=14cm]{weeds-f3};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 62.12ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img4.svg"
 ALT="\includegraphics[width=14cm]{weeds-f3}">|; 

$key = q/j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.16ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img20.svg"
 ALT="$j$">|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.80ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img12.svg"
 ALT="$k$">|; 

$key = q/tau_nu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img7.svg"
 ALT="$\tau_\nu$">|; 

1;

