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


$key = q/S(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$S(i)$">|; 

$key = q/f(j)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$ f(j) = 1 $">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$t$">|; 

$key = q/x_{{ensuremath{mathrm{val}}{}=f_{{ensuremath{mathrm{res}}{}times(0-r_{{ensuremath{mathrm{chan}}{})+f_{{ensuremath{mathrm{off}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="211" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$x_{\ensuremath{\mathrm{val}}} = f_{\ensuremath{\mathrm{res}}} \times
(0 -r_{\ensuremath{\mathrm{chan}}}) + f_{\ensuremath{\mathrm{off}}}$">|; 

$key = q/k_{{ensuremath{mathrm{min}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$k_{\ensuremath{\mathrm{min}}}$">|; 

$key = q/f(i_{{ensuremath{mathrm{chan}}{})=f_{{ensuremath{mathrm{res}}{}times(i_{{ensureman}}{}-r_{{ensuremath{mathrm{chan}}{})+f_{{ensuremath{mathrm{off}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="263" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="$f(i_{\ensuremath{\mathrm{chan}}}) = f_{\ensuremath{\mathrm{res}}} \times
(i_{\...
...\mathrm{chan}}}-r_{\ensuremath{\mathrm{chan}}}) + f_{\ensuremath{\mathrm{off}}}$">|; 

$key = q/0.0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$0.0$">|; 

$key = q/fbox{minipage{[t]{12cm}textsf{Averagedchannelintensityandweight(alignedspectra):T(i)}{w_R(i)+w_T(i)}w_S(i)&=&w_R(i)+w_T(i)eqnarray{minipage{};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="568" HEIGHT="157" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="\fbox{
\begin{minipage}[t]{12cm}
\textsf{Averaged channel intensity and weight (...
...R(i) + w_T(i)} \\\\
w_S(i) &amp; = &amp; w_R(i) + w_T(i)
\end{eqnarray}\end{minipage}}">|; 

$key = q/(N-1)^{th};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$(N-1)^{th}$">|; 

$key = q/-ctimesf_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}}slashf_{{ensuremath{mathrm{rest}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="$ -c \times f_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}} /
f_{\ensuremath{\mathrm{rest}},S_{\ensuremath{\mathrm{out}}}} $">|; 

$key = q/f(j)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$ f(j) = 0 $">|; 

$key = q/R';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$R'$">|; 

$key = q/^{1,2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$^{1,2}$">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\textstyle =$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="$c$">|; 

$key = q/displaystyle{ensuremath{mathrm{var}}{(T_{R'}(i));MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$\displaystyle \ensuremath{\mathrm{var}}(T_{R'}(i))$">|; 

$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$a$">|; 

$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$X$">|; 

$key = q/displaystyle{ensuremath{mathrm{min}}{(x_{{ensuremath{mathrm{min}}{,R},x_{{ensuremath{mathrm{min}}{,T});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="138" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$\displaystyle \ensuremath{\mathrm{min}}( x_{\ensuremath{\mathrm{min}},R} , x_{\ensuremath{\mathrm{min}},T} )$">|; 

$key = q/S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$S$">|; 

$key = q/sqrt{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="$\sqrt{2}$">|; 

$key = q/T_S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$T_S$">|; 

$key = q/r_T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$r_T$">|; 

$key = q/T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$T$">|; 

$key = q/reso(resampled)slashreso(input);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="209" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$reso(resampled)/reso(input)$">|; 

$key = q/displaystyle{ensuremath{mathrm{max}}{(x_{{ensuremath{mathrm{max}}{,R},x_{{ensuremath{mathrm{max}}{,T});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="146" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$\displaystyle \ensuremath{\mathrm{max}}( x_{\ensuremath{\mathrm{max}},R} , x_{\ensuremath{\mathrm{max}},T} )$">|; 

$key = q/w_{R'}(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$w_{R'}(i)$">|; 

$key = q/{displaymath}w_R(i)=frac{1}{{sigma_R}(i)^2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="53" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\begin{displaymath}
w_R(i) = \frac{1}{{\sigma_R}(i)^2}
\end{displaymath}">|; 

$key = q/fbox{minipage{[t]{12cm}textsf{Resampledchannelintensity(allweights):}equation{T_suremath{mathrm{max}}{}}f_R(j)timesw_R(j)}equation{minipage{};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="568" HEIGHT="148" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="\fbox{
\begin{minipage}[t]{12cm}
\textsf{Resampled channel intensity (all weight...
...{\ensuremath{\mathrm{max}}}} f_R(j) \times w_R(j)}
\end{equation}\end{minipage}}">|; 

$key = q/r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$r$">|; 

$key = q/{displaymath}x_{{ensuremath{mathrm{val}}{,S}=x_{{ensuremath{mathrm{min}}{,S}-1.timesr_S,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="174" HEIGHT="30" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="\begin{displaymath}
x_{\ensuremath{\mathrm{val}},S} = x_{\ensuremath{\mathrm{min}},S} - 1. \times r_S,
\end{displaymath}">|; 

$key = q/k_{{ensuremath{mathrm{max}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$k_{\ensuremath{\mathrm{max}}}$">|; 

$key = q/f_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="$f_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/{displaymath}{ensuremath{mathrm{var}}{(T_R(i))={sigma_R}(i)^2{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{displaymath}
\ensuremath{\mathrm{var}}(T_R(i)) = {\sigma_R}(i)^2
\end{displaymath}">|; 

$key = q/displaystyle{ensuremath{mathrm{var}}{left(sum_{j=j_{{ensuremath{mathrm{min}}{}}^{j_{{ensuremath{mathrm{max}}{}}alpha_R(j)timesT_R(j)right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="198" HEIGHT="73" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$\displaystyle \ensuremath{\mathrm{var}} \left(
\sum_{j=j_{\ensuremath{\mathrm{min}}}}^{j_{\ensuremath{\mathrm{max}}}} \alpha_R(j) \times T_R(j)
\right)$">|; 

$key = q/w_S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$w_S$">|; 

$key = q/N_S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$N_S$">|; 

$key = q/ttimes|r|slashT_{{ensuremath{mathrm{sys}}{}^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$t \times \vert r\vert / T_{\ensuremath{\mathrm{sys}}}^2$">|; 

$key = q/(v_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{out}}{}}-x_{{ensuremath{math{}})slashv_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="201" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$(v_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{out}}}}-x_{\ensuremath{\ma...
...{\mathrm{out}}}}) / v_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/j_{{ensuremath{mathrm{max}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$j_{\ensuremath{\mathrm{max}}}$">|; 

$key = q/w_{R'}=w_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$w_{R'} = w_R$">|; 

$key = q/fne0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="$f \ne 0$">|; 

$key = q/sigma_{R'}=sigma_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="$\sigma_{R'} = \sigma_R$">|; 

$key = q/{displaymath}frac{t_{S_{{ensuremath{mathrm{out}}{}}times|r_{S_{{ensuremath{mathr{ensuremath{mathrm{sys}}{,{ensuremath{mathrm{obs}}{}^2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="299" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="\begin{displaymath}
\frac {t_{S_{\ensuremath{\mathrm{out}}}} \times \vert r_{S_...
...
{T_{\ensuremath{\mathrm{sys}},\ensuremath{\mathrm{obs}}}^2}
\end{displaymath}">|; 

$key = q/(f_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{out}}{}}-x_{{ensuremath{math{}})slashf_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="202" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="$(f_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{out}}}} -
x_{\ensuremath{...
...\mathrm{out}}}}) /
f_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/displaystylefrac{1}{beta^2}sum_{j=j_{{ensuremath{mathrm{min}}{}}^{j_{{ensuremath{mathrm{max}}{}}f_R(j)^2,w_R(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="159" HEIGHT="68" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$\displaystyle \frac{1}{\beta^2}
\sum_{j=j_{\ensuremath{\mathrm{min}}}}^{j_{\ensuremath{\mathrm{max}}}} f_R(j)^2   w_R(j)$">|; 

$key = q/x_{{ensuremath{mathrm{val}}{}rightarrowx_{{ensuremath{mathrm{val}}{}+0.50;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$x_{\ensuremath{\mathrm{val}}} \rightarrow x_{\ensuremath{\mathrm{val}}}+0.50$">|; 

$key = q/displaystylex_{{ensuremath{mathrm{min}}{,S};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle x_{\ensuremath{\mathrm{min}},S}$">|; 

$key = q/displaystyle{ensuremath{mathrm{max}}{(x_{{ensuremath{mathrm{min}}{,R},x_{{ensuremath{mathrm{min}}{,T});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="142" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$\displaystyle \ensuremath{\mathrm{max}}( x_{\ensuremath{\mathrm{min}},R} , x_{\ensuremath{\mathrm{min}},T} )$">|; 

$key = q/mu_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$\mu_R$">|; 

$key = q/i_{{ensuremath{mathrm{chan}}{}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$i_{\ensuremath{\mathrm{chan}}} = 0$">|; 

$key = q/r_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$r_R$">|; 

$key = q/0.25;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$0.25$">|; 

$key = q/w_{R'}=1.6timesw_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$w_{R'} = 1.6 \times w_R$">|; 

$key = q/f_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{in}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="$f_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{in}}}}$">|; 

$key = q/x_{{ensuremath{mathrm{val}}{}rightarrowx_{{ensuremath{mathrm{val}}{}+0.25;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="$x_{\ensuremath{\mathrm{val}}} \rightarrow x_{\ensuremath{\mathrm{val}}}+0.25$">|; 

$key = q/displaystyle{ensuremath{mathrm{min}}{(x_{{ensuremath{mathrm{max}}{,R},x_{{ensuremath{mathrm{max}}{,T});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$\displaystyle \ensuremath{\mathrm{min}}( x_{\ensuremath{\mathrm{max}},R} , x_{\ensuremath{\mathrm{max}},T} )$">|; 

$key = q/v_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{in}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="$v_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{in}}}}$">|; 

$key = q/ttimesf_{{ensuremath{mathrm{res}}{}slashT_{{ensuremath{mathrm{sys}}{}^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$t \times f_{\ensuremath{\mathrm{res}}} / T_{\ensuremath{\mathrm{sys}}}^2$">|; 

$key = q/v_{{ensuremath{mathrm{off}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="$v_{\ensuremath{\mathrm{off}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/N(mu_R,{sigma_R}^2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$N(\mu_R,{\sigma_R}^2)$">|; 

$key = q/alpha(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$\alpha(j)$">|; 

$key = q/{displaymath}{ensuremath{mathrm{var}}{(aX+bY)=a^2{ensuremath{mathrm{var}}{(X)+b^2{ensuremath{mathrm{var}}{(Y){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="\begin{displaymath}
\ensuremath{\mathrm{var}} (aX+bY) = a^2 \ensuremath{\mathrm{var}}(X) + b^2 \ensuremath{\mathrm{var}}(Y)
\end{displaymath}">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$N$">|; 

$key = q/x_{{ensuremath{mathrm{val}}{}rightarrowx_{{ensuremath{mathrm{val}}{}+0.00;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="$x_{\ensuremath{\mathrm{val}}} \rightarrow x_{\ensuremath{\mathrm{val}}}+0.00$">|; 

$key = q/T_{R'}(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$T_{R'}(i)$">|; 

$key = q/{displaymath}r_S={ensuremath{mathrm{max}}{(|r_R|,|r_T|){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="138" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="\begin{displaymath}
r_S = \ensuremath{\mathrm{max}}(\vert r_R\vert,\vert r_T\vert)
\end{displaymath}">|; 

$key = q/w_{R'};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$w_{R'}$">|; 

$key = q/obs;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="$obs$">|; 

$key = q/S_{{ensuremath{mathrm{out}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$S_{\ensuremath{\mathrm{out}}}$">|; 

$key = q/1.0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$1.0$">|; 

$key = q/displaystylealpha_R(j)=frac{f_R(j)timesw_R(j)}{beta};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="169" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$\displaystyle \alpha_R(j) = \frac{f_R(j) \times w_R(j)}{\beta}$">|; 

$key = q/f_{{ensuremath{mathrm{res}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$f_{\ensuremath{\mathrm{res}}}$">|; 

$key = q/sigma_R(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$\sigma_R(j)$">|; 

$key = q/v_{{ensuremath{mathrm{off}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$v_{\ensuremath{\mathrm{off}}}$">|; 

$key = q/f_{{ensuremath{mathrm{off}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="$f_{\ensuremath{\mathrm{off}}}$">|; 

$key = q/T_{{ensuremath{mathrm{sys}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$T_{\ensuremath{\mathrm{sys}}}$">|; 

$key = q/R'rightarrowR'';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$R' \rightarrow R''$">|; 

$key = q/sigma_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$\sigma_R$">|; 

$key = q/1slash{sigma}^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$1/{\sigma}^2$">|; 

$key = q/v_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$v_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/fbox{minipage{[t]{12cm}textsf{Averagedchannelintensityandweight(non-alignedspect(i)+w_{T'}(i)}w_S(i)&=&w_{R'}(i)+w_{T'}(i)eqnarray{minipage{};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="568" HEIGHT="157" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="\fbox{
\begin{minipage}[t]{12cm}
\textsf{Averaged channel intensity and weight (...
...{T'}(i)} \\\\
w_S(i) &amp; = &amp; w_{R'}(i) + w_{T'}(i)
\end{eqnarray}\end{minipage}}">|; 

$key = q/fbox{minipage{[t]{12cm}textsf{Resampledchannelweight(weight{ttEQUAL}):}equation{{}}^{j_{{ensuremath{mathrm{max}}{}}f_R(j)}equation{minipage{};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="568" HEIGHT="148" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="\fbox{
\begin{minipage}[t]{12cm}
\textsf{Resampled channel weight (weight {\tt E...
...m{min}}}}^{j_{\ensuremath{\mathrm{max}}}} f_R(j) }
\end{equation}\end{minipage}}">|; 

$key = q/{R'};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="${R'}$">|; 

$key = q/sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$\sigma$">|; 

$key = q/0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$0$">|; 

$key = q/w_{R'}slashw_{R};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$w_{R'}/w_{R}$">|; 

$key = q/w_R(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$w_R(i)$">|; 

$key = q/fbox{minipage{[t]{12cm}textsf{Resampledchannelweight(weights{ttTIME}and{SIGMA}):ensuremath{mathrm{max}}{}}f_R(j)^2,w_R(j)}equation{minipage{};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="568" HEIGHT="166" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\fbox{
\begin{minipage}[t]{12cm}
\textsf{Resampled channel weight (weights {\tt ...
...j_{\ensuremath{\mathrm{max}}}} f_R(j)^2   w_R(j)}
\end{equation}\end{minipage}}">|; 

$key = q/T_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$T_R$">|; 

$key = q/t_{S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$t_{S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/sigma_{R'}=sigma_Rslashsqrt{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="$\sigma_{R'} = \sigma_R / \sqrt{2}$">|; 

$key = q/{displaymath}T_{R'}(i)=sum_{j=j_{{ensuremath{mathrm{min}}{}}^{j_{{ensuremath{mathrm{max}}{}}alpha_R(j)timesT_R(j){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="203" HEIGHT="59" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\begin{displaymath}
T_{R'}(i) = \sum_{j=j_{\ensuremath{\mathrm{min}}}}^{j_{\ensuremath{\mathrm{max}}}} \alpha_R(j) \times T_R(j)
\end{displaymath}">|; 

$key = q/T';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$T'$">|; 

$key = q/^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$^1$">|; 

$key = q/{displaymath}t_{S_{{ensuremath{mathrm{out}}{}}=t_{S_{{ensuremath{mathrm{in}}{}}+t_{{ensuremath{mathrm{obs}}{}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="50" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="\begin{displaymath}
t_{S_{\ensuremath{\mathrm{out}}}} = t_{S_{\ensuremath{\mathrm{in}}}} + t_{\ensuremath{\mathrm{obs}}}
\end{displaymath}">|; 

$key = q/Y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="$Y$">|; 

$key = q/w_R(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$w_R(j)$">|; 

$key = q/^{primeprime};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$^{\prime\prime}$">|; 

$key = q/-f_{{ensuremath{mathrm{rest}}{,S_{{ensuremath{mathrm{out}}{}}timesv_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}}slashc;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="$ - f_{\ensuremath{\mathrm{rest}},S_{\ensuremath{\mathrm{out}}}} \times v_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}} / c $">|; 

$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$i$">|; 

$key = q/T_{{ensuremath{mathrm{sys}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="$T_{\ensuremath{\mathrm{sys}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/0<f(j)<1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$ 0 &lt; f(j) &lt; 1 $">|; 

$key = q/0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$0.5$">|; 

$key = q/x_{{ensuremath{mathrm{val}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$x_{\ensuremath{\mathrm{val}}}$">|; 

$key = q/S_{{ensuremath{mathrm{in}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$S_{\ensuremath{\mathrm{in}}}$">|; 

$key = q/f_{{ensuremath{mathrm{res}}{,S_{{ensuremath{mathrm{out}}{}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$f_{\ensuremath{\mathrm{res}},S_{\ensuremath{\mathrm{out}}}}$">|; 

$key = q/R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$R$">|; 

$key = q/j_{{ensuremath{mathrm{min}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$j_{\ensuremath{\mathrm{min}}}$">|; 

$key = q/{displaymath}N_S={ensuremath{mathrm{int}}{(frac{x_{{ensuremath{mathrm{max}}{,S}-x_{{ensuremath{mathrm{min}}{,S}}{r_S}+1.5),{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="40" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="\begin{displaymath}
N_S = \ensuremath{\mathrm{int}}( \frac{x_{\ensuremath{\mathrm{max}},S}-x_{\ensuremath{\mathrm{min}},S}}{r_S} + 1.5),
\end{displaymath}">|; 

$key = q/T(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$T(i)$">|; 

$key = q/N^{th};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$N^{th}$">|; 

$key = q/displaystylex_{{ensuremath{mathrm{max}}{,S};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$\displaystyle x_{\ensuremath{\mathrm{max}},S}$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$x$">|; 

$key = q/b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$b$">|; 

$key = q/x_{{ensuremath{mathrm{min}}{,S};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$x_{\ensuremath{\mathrm{min}},S}$">|; 

$key = q/displaystylebeta=sum_{j=j_{{ensuremath{mathrm{min}}{}}^{j_{{ensuremath{mathrm{max}}{}}f_R(j)timesw_R(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="177" HEIGHT="68" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$\displaystyle \beta = \sum_{j=j_{\ensuremath{\mathrm{min}}}}^{j_{\ensuremath{\mathrm{max}}}} f_R(j) \times w_R(j)$">|; 

$key = q/displaystylesum_{j=j_{{ensuremath{mathrm{min}}{}}^{j_{{ensuremath{mathrm{max}}{}}alpha_R(j)^2times{ensuremath{mathrm{var}}{left(T_R(j)right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="68" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\displaystyle \sum_{ j=j_{\ensuremath{\mathrm{min}}}}^{j_{\ensuremath{\mathrm{max}}}}
\alpha_R(j)^2 \times \ensuremath{\mathrm{var}} \left( T_R(j) \right)$">|; 

$key = q/[x_{{ensuremath{mathrm{min}}{,S},x_{{ensuremath{mathrm{max}}{,S}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="109" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$[x_{\ensuremath{\mathrm{min}},S},x_{\ensuremath{\mathrm{max}},S}]$">|; 

$key = q/f_{{ensuremath{mathrm{rest}}{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="$f_{\ensuremath{\mathrm{rest}}}$">|; 

$key = q/sigma_{R'};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$\sigma_{R'}$">|; 

$key = q/sigma_{R'}=sigma_Rslashsqrt{1.6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$\sigma_{R'} = \sigma_R / \sqrt{1.6}$">|; 

$key = q/w(i);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$w(i)$">|; 

$key = q/w_{R'}=2timesw_R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$w_{R'} = 2 \times w_R$">|; 

$key = q/beta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$\beta$">|; 

$key = q/f(j);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$f(j)$">|; 

$key = q/{displaymath}{ensuremath{mathrm{pdf}}{_R(x)=frac{1}{sigma_Rsqrt{2pi}},{ensurematmathrm{exp}}{left(-frac{(x-mu_R)^2}{2{sigma_R}^2}right){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="266" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="\begin{displaymath}
\ensuremath{\mathrm{pdf}}_R(x) = \frac{1}{\sigma_R \sqrt{2 ...
...thrm{exp}} \left( - \frac{(x-\mu_R)^2}{2 {\sigma_R}^2} \right)
\end{displaymath}">|; 

1;

