# LaTeX2HTML 98.2 beta8 (September 9th, 1998)
# Associate images original text with physical files.


$key = q/Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img135.gif"
 ALT="$\Delta t$">|; 

$key = q/(nu=100);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img125.gif"
 ALT="\(\nu =100\)">|; 

$key = q/x(t_i);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img130.gif"
 ALT="$x(t_i)$">|; 

$key = q/e;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img70.gif"
 ALT="$e$">|; 

$key = q/x_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img140.gif"
 ALT="$x_2$">|; 

$key = q/^{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img41.gif"
 ALT="$^{3}$">|; 

$key = q/(CO_{2});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img89.gif"
 ALT="\(CO_{2}\)">|; 

$key = q/f=1slashDeltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img155.gif"
 ALT="$f = 1/\Delta t$">|; 

$key = q/m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img35.gif"
 ALT="$m$">|; 

$key = q/R_{e};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img60.gif"
 ALT="$R_{e}$">|; 

$key = q/(vec{a}=0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.gif"
 ALT="\(\vec{a}=0\)">|; 

$key = q/approx;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img150.gif"
 ALT="$\approx$">|; 

$key = q/x(t_{i-1});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img136.gif"
 ALT="$x(t_{i-1})$">|; 

$key = q/(alpha=(1,75)'');MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img50.gif"
 ALT="\(\alpha=(1,75)''\)">|; 

$key = q/(E_{0});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img105.gif"
 ALT="\(E_{0}\)">|; 

$key = q/5''pm1,2'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img77.gif"
 ALT="$5'' \pm 1,2''$">|; 

$key = q/2^N;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="img156.gif"
 ALT="$2^N$">|; 

$key = q/m_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img85.gif"
 ALT="$m_2$">|; 

$key = q/r=r_{g};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img33.gif"
 ALT="$r=r_{g}$">|; 

$key = q/(x^{mu});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img12.gif"
 ALT="\(x^{\mu}\)">|; 

$key = q/(Big|frac{dG}{dt}frac{1}{G}Big|<10^{-11});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="img44.gif"
 ALT="\( \Big \vert \frac{dG}{dt} \frac{1}{G} \Big \vert &lt; 10^{-11}\)">|; 

$key = q/varepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img153.gif"
 ALT="$\varepsilon$">|; 

$key = q/t_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img131.gif"
 ALT="$t_1$">|; 

$key = q/I_{3}=I_{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img120.gif"
 ALT="$I_{3}=I_{4}$">|; 

$key = q/10^{-10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img38.gif"
 ALT="$10^{-10}$">|; 

$key = q/(S_{A}-S_{B}<int_{A}^{B}frac{deltaQ}{T});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="img103.gif"
 ALT="\(S_{A}-S_{B}&lt;\int_{A}^{B} \frac{\delta Q}{T}\)">|; 

$key = q/10^{-12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img39.gif"
 ALT="$10^{-12}$">|; 

$key = q/includegraphics[width=5cm]{Most-WheatstoneslashMost-Wheatstone.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="224" HEIGHT="230" ALIGN="BOTTOM" BORDER="0"
 SRC="img117.gif"
 ALT="\includegraphics[width=5cm]{Most-Wheatstone/Most-Wheatstone.eps}">|; 

$key = q/(simfrac{1}{r});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="img64.gif"
 ALT="\(\sim \frac{1}{r}\)">|; 

$key = q/(vec{a}=frac{d^{2}vec{x}}{ds^{2}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.gif"
 ALT="\(\vec{a}=\frac{d^{2}\vec{x}}{ds^{2}}\)">|; 

$key = q/Deltax=x_n-x_{n-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="136" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img147.gif"
 ALT="$\Delta x = x_n - x_{n-1}$">|; 

$key = q/r_{g};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img31.gif"
 ALT="$r_{g}$">|; 

$key = q/(N_2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img91.gif"
 ALT="\(N_2\)">|; 

$key = q/(A);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img99.gif"
 ALT="\(A\)">|; 

$key = q/includegraphics[width=5cm]{OtoslashSunAngel.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="221" HEIGHT="331" ALIGN="BOTTOM" BORDER="0"
 SRC="img47.gif"
 ALT="\includegraphics [width=5cm]{Oto/SunAngel.eps}">|; 

$key = q/{displaymath}deltatsimeqfrac{2r_{godot}}{c}ln(frac{R_{e}R_{v}}{rho^{2}}),{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="166" HEIGHT="89" BORDER="0"
 SRC="img59.gif"
 ALT="\begin{displaymath}
\delta t \simeq \frac{2r_{g\odot}}{c}\ln(\frac{R_{e}R_{v}}{\rho^{2}}),
\end{displaymath}">|; 

$key = q/x;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img145.gif"
 ALT="$x$">|; 

$key = q/-L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img116.gif"
 ALT="$-L$">|; 

$key = q/((x^{1},x^{2},x^{3})=vec{r});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="img16.gif"
 ALT="\((x^{1},x^{2},x^{3})=\vec{r}\)">|; 

$key = q/{displaymath}V_{2}=sqrt{frac{2MG}{r}}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="93" BORDER="0"
 SRC="img32.gif"
 ALT="\begin{displaymath}
V_{2}=\sqrt{\frac{2MG}{r}}.
\end{displaymath}">|; 

$key = q/c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img18.gif"
 ALT="$c$">|; 

$key = q/((x^{0},x^{1},x^{2},x^{3}));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img15.gif"
 ALT="\( (x^{0},x^{1},x^{2},x^{3}) \)">|; 

$key = q/(ds);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img7.gif"
 ALT="\(ds\)">|; 

$key = q/R_{1}(R_{x});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img1.gif"
 ALT="$R_{1}(R_{x})$">|; 

$key = q/N;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img157.gif"
 ALT="$N$">|; 

$key = q/{displaymath}frac{d^{2}x^{mu}}{ds^{2}}+Gamma^{mu}_{nurho}frac{dx^{nu}}{ds}frac{dx^{rho}}{ds}=0,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="88" BORDER="0"
 SRC="img6.gif"
 ALT="\begin{displaymath}
\frac{d^{2}x^{\mu}}{ds^{2}}+\Gamma ^{\mu}_{\nu \rho}
\frac{dx^{\nu}}{ds}\frac{dx^{\rho}}{ds}=0,
\end{displaymath}">|; 

$key = q/(E_{0}=mc^{2});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img106.gif"
 ALT="\(E_{0}=mc^{2}\)">|; 

$key = q/(a);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img69.gif"
 ALT="\(a\)">|; 

$key = q/(c);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img107.gif"
 ALT="\(c\)">|; 

$key = q/(0.02%);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img57.gif"
 ALT="\(0.02\%\)">|; 

$key = q/I_{1}R_{1}=I_{3}R_{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img121.gif"
 ALT="$I_{1}R_{1}=I_{3}R_{3}$">|; 

$key = q/(r_{godot});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img49.gif"
 ALT="\(r_{g\odot}\)">|; 

$key = q/r_g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img36.gif"
 ALT="$r_g$">|; 

$key = q/(g);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img53.gif"
 ALT="\(g\)">|; 

$key = q/R_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img2.gif"
 ALT="$R_{2}$">|; 

$key = q/t_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img133.gif"
 ALT="$t_i$">|; 

$key = q/x(t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img129.gif"
 ALT="$x(t)$">|; 

$key = q/R_{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img4.gif"
 ALT="$R_{4}$">|; 

$key = q/(Deltanu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img51.gif"
 ALT="\(\Delta \nu\)">|; 

$key = q/(F=ma);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img112.gif"
 ALT="\(F=ma\)">|; 

$key = q/(x^{0}=ct);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img17.gif"
 ALT="\(x^{0}=ct\)">|; 

$key = q/3,8'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img78.gif"
 ALT="$3,8''$">|; 

$key = q/f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img154.gif"
 ALT="$f$">|; 

$key = q/f=44.1~{{rm{ΛηΓ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img158.gif"
 ALT="$f = 44.1~{\rm ΛηΓ}$">|; 

$key = q/(C_{60});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img104.gif"
 ALT="\(C_{60}\)">|; 

$key = q/{displaymath}frac{domega}{dt}=frac{96G^{3}m_{1}m_{2}(m_{1}+m_{2})}{5c^{5}r^{4}}cdotomega,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="257" HEIGHT="88" BORDER="0"
 SRC="img82.gif"
 ALT="\begin{displaymath}
\frac{d\omega}{dt} =\frac{96G^{3}m_{1}m_{2}(m_{1}+m_{2})}
{5c^{5}r^{4}}\cdot \omega,
\end{displaymath}">|; 

$key = q/(omega);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img86.gif"
 ALT="\(\omega\)">|; 

$key = q/2L+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img115.gif"
 ALT="$2L+1$">|; 

$key = q/x=0,pm0.01,pm0.02,dots;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="193" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img146.gif"
 ALT="$x = 0, \pm 0.01, \pm 0.02, \dots$">|; 

$key = q/10^{-8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img37.gif"
 ALT="$10^{-8}$">|; 

$key = q/includegraphics[width=5cm]{OtoslashSunTime.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="225" HEIGHT="379" ALIGN="BOTTOM" BORDER="0"
 SRC="img58.gif"
 ALT="\includegraphics [width=5cm]{Oto/SunTime.eps}">|; 

$key = q/(S_{B});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img102.gif"
 ALT="\(S_{B}\)">|; 

$key = q/Deltax;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img149.gif"
 ALT="$\Delta x$">|; 

$key = q/t_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img132.gif"
 ALT="$t_2$">|; 

$key = q/(m_{2});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img110.gif"
 ALT="\(m_{2}\)">|; 

$key = q/^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img43.gif"
 ALT="$^{2}$">|; 

$key = q/{displaymath}deltaphi=frac{6piGM_{odot}}{c^{2}a(1-e^{2})},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="142" HEIGHT="91" BORDER="0"
 SRC="img67.gif"
 ALT="\begin{displaymath}
\delta\phi = \frac{6\pi G M_{\odot}}{c^{2}a(1-e^{2})},
\end{displaymath}">|; 

$key = q/8,6'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img74.gif"
 ALT="$8,6''$">|; 

$key = q/(M_{odot});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img68.gif"
 ALT="\(M_{\odot}\)">|; 

$key = q/includegraphics[width=12cm]{OtoslashGravlinsa.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="543" HEIGHT="142" ALIGN="BOTTOM" BORDER="0"
 SRC="img79.gif"
 ALT="\includegraphics [width=12cm]{Oto/Gravlinsa.eps}">|; 

$key = q/L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img114.gif"
 ALT="$L$">|; 

$key = q/(^{-1}simeq10^{-18});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img45.gif"
 ALT="\(^{-1}\simeq
10^{-18}\)">|; 

$key = q/43,0'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img72.gif"
 ALT="$43,0''$">|; 

$key = q/(nu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img10.gif"
 ALT="\(\nu\)">|; 

$key = q/t=0,0.1,0.2,dots;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="141" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img144.gif"
 ALT="$t = 0, 0.1, 0.2, \dots$">|; 

$key = q/includegraphics[width=10cm]{Sound-DemonstrationslashSound-Demonstration-Kundt.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="68" ALIGN="BOTTOM" BORDER="0"
 SRC="img128.gif"
 ALT="\includegraphics[width=10cm]{Sound-Demonstration/Sound-Demonstration-Kundt.eps}">|; 

$key = q/R_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img61.gif"
 ALT="$R_{v}$">|; 

$key = q/(F_{g}=-frac{Gm_{1}m_{2}vec{r}}{r^{3}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="img87.gif"
 ALT="\(F_{g} = -\frac{Gm_{1}m_{2}\vec{r}}{r^{3}}\)">|; 

$key = q/I_{1}=I_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img119.gif"
 ALT="$I_{1}=I_{2}$">|; 

$key = q/vec{L};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="23" ALIGN="BOTTOM" BORDER="0"
 SRC="img113.gif"
 ALT="$\vec{L}$">|; 

$key = q/gamma;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img81.gif"
 ALT="$\gamma$">|; 

$key = q/(^{-1});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img46.gif"
 ALT="\(^{-1}\)">|; 

$key = q/(simfrac{1}{r^{1+delta}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="img66.gif"
 ALT="\(\sim \frac{1}{r^{1+\delta}}\)">|; 

$key = q/G;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img25.gif"
 ALT="$G$">|; 

$key = q/V_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img34.gif"
 ALT="$V_2$">|; 

$key = q/x_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img139.gif"
 ALT="$x_1$">|; 

$key = q/omega;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img83.gif"
 ALT="$\omega$">|; 

$key = q/(|phi|llc^{2});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img5.gif"
 ALT="\(\vert\phi\vert\ll c^{2}\)">|; 

$key = q/G=6,6745(8)times10^{-11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="191" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img40.gif"
 ALT="$G=6,6745(8) \times 10^{-11}$">|; 

$key = q/{displaymath}frac{Deltanu}{nu}=frac{phi_{1}-phi_{2}}{c^{2}}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="86" BORDER="0"
 SRC="img56.gif"
 ALT="\begin{displaymath}
\frac{\Delta \nu}{\nu} = \frac{\phi _{1}-\phi _{2}}{c^{2}}.
\end{displaymath}">|; 

$key = q/(N_1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img90.gif"
 ALT="\(N_1\)">|; 

$key = q/(1slash2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img92.gif"
 ALT="\(1/2\)">|; 

$key = q/x_n(t_i);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img148.gif"
 ALT="$x_n(t_i)$">|; 

$key = q/t_{i-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img137.gif"
 ALT="$t_{i-1}$">|; 

$key = q/(B);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img100.gif"
 ALT="\(B\)">|; 

$key = q/t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img19.gif"
 ALT="$t$">|; 

$key = q/(F_{g});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img108.gif"
 ALT="\(F_{g}\)">|; 

$key = q/(rllR_{oplus});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img55.gif"
 ALT="\(r\ll R_{\oplus}\)">|; 

$key = q/I_{1}R_{2}=I_{3}R_{4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img122.gif"
 ALT="$I_{1}R_{2}=I_{3}R_{4}$">|; 

$key = q/Deltax=varepsilonx;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img152.gif"
 ALT="$\Delta x = \varepsilon x$">|; 

$key = q/(rho);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img11.gif"
 ALT="\(\rho\)">|; 

$key = q/m_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img84.gif"
 ALT="$m_1$">|; 

$key = q/R_{x}=frac{R_{2}R_{3}}{R_{4}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="img123.gif"
 ALT="$R_{x}=\frac{R_{2} R_{3}}{R_{4}}$">|; 

$key = q/{displaymath}sim10^{-100,000,000,000,000,000,000,000}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="63" BORDER="0"
 SRC="img95.gif"
 ALT="\begin{displaymath}\sim 10^{-100,000,000,000,000,000,000,000}.\end{displaymath}">|; 

$key = q/{displaymath}F_{g}=-frac{Gm_{1}m_{2}}{r^{2}}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="130" HEIGHT="86" BORDER="0"
 SRC="img111.gif"
 ALT="\begin{displaymath}F_{g} = -\frac{Gm_{1}m_{2}}{r^{2}}.\end{displaymath}">|; 

$key = q/x_n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img141.gif"
 ALT="$x_n$">|; 

$key = q/(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img98.gif"
 ALT="\(T\)">|; 

$key = q/g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img23.gif"
 ALT="$g$">|; 

$key = q/vec{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img88.gif"
 ALT="$\vec{r}$">|; 

$key = q/(r_{godot}simeq3);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img29.gif"
 ALT="\(r_{g\odot}\simeq 3\)">|; 

$key = q/{displaymath}g=frac{GM}{r^{2}sqrt{1-frac{2GM}{c^{2}r}}},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="106" BORDER="0"
 SRC="img24.gif"
 ALT="\begin{displaymath}
g=\frac{GM}{r^{2}\sqrt{1-\frac{2GM}{c^{2}r}}},
\end{displaymath}">|; 

$key = q/(r_{goplus}simeq0.9);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img30.gif"
 ALT="\(r_{g\oplus}\simeq 0.9\)">|; 

$key = q/-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img151.gif"
 ALT="$-$">|; 

$key = q/9,8''pm8'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img75.gif"
 ALT="$9,8'' \pm 8''$">|; 

$key = q/10,3'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img76.gif"
 ALT="$10,3''$">|; 

$key = q/(l=cslash4nu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img124.gif"
 ALT="\(l=c/4\nu\)">|; 

$key = q/43,11''pm0,45'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="127" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img71.gif"
 ALT="$43,11'' \pm 0,45''$">|; 

$key = q/(sim10^{23});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img94.gif"
 ALT="\(\sim 10^{23}\)">|; 

$key = q/includegraphics[width=10cm]{Sound-DemonstrationslashSound-Demonstration-interfer.eps};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="275" ALIGN="BOTTOM" BORDER="0"
 SRC="img127.gif"
 ALT="\includegraphics[width=10cm]{Sound-Demonstration/Sound-Demonstration-interfer.eps}">|; 

$key = q/{displaymath}alpha=-frac{2r_{godot}}{rho},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="89" BORDER="0"
 SRC="img48.gif"
 ALT="\begin{displaymath}
\alpha=-\frac{2r_{g\odot}}{\rho},
\end{displaymath}">|; 

$key = q/(h);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img54.gif"
 ALT="\(h\)">|; 

$key = q/(S_{A});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img101.gif"
 ALT="\(S_{A}\)">|; 

$key = q/R_{3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img3.gif"
 ALT="$R_{3}$">|; 

$key = q/{displaymath}frac{1}{2^{N_1+N_2}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="85" BORDER="0"
 SRC="img93.gif"
 ALT="\begin{displaymath}
\frac{1}{2^{N_1+N_2}}
\end{displaymath}">|; 

$key = q/(phi_{1}-phi_{2}=gh);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img52.gif"
 ALT="\(\phi _{1}-\phi _{2}=gh\)">|; 

$key = q/(r_{g});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img28.gif"
 ALT="\(r_{g}\)">|; 

$key = q/(x^{nu});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img13.gif"
 ALT="\(x^{\nu}\)">|; 

$key = q/times;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img42.gif"
 ALT="$\times$">|; 

$key = q/(l=82,5);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img126.gif"
 ALT="\(l=82,5\)">|; 

$key = q/(m_{1});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img109.gif"
 ALT="\(m_{1}\)">|; 

$key = q/{displaymath}r_{g}=frac{2MG}{c^{2}},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="86" BORDER="0"
 SRC="img27.gif"
 ALT="\begin{displaymath}
r_{g}=\frac{2MG}{c^{2}},
\end{displaymath}">|; 

$key = q/(S_{A}-S_{B}=int_{A}^{B}frac{deltaQ}{T});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="img96.gif"
 ALT="\(S_{A}-S_{B}=\int_{A}^{B} \frac{\delta Q}{T}\)">|; 

$key = q/(x^{rho});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img14.gif"
 ALT="\(x^{\rho}\)">|; 

$key = q/8,4''pm4,8'';MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="img73.gif"
 ALT="$8,4'' \pm 4,8''$">|; 

$key = q/Deltat=0.1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img143.gif"
 ALT="$\Delta t = 0.1$">|; 

$key = q/(deltaQ);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img97.gif"
 ALT="\(\delta Q\)">|; 

$key = q/M;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img22.gif"
 ALT="$M$">|; 

$key = q/f>1slashDeltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img138.gif"
 ALT="$f &gt;
1/\Delta t$">|; 

$key = q/(Gamma^{mu}_{nurho});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img8.gif"
 ALT="\(\Gamma ^{\mu}_{\nu \rho}\)">|; 

$key = q/x(t)=sqrt{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="img142.gif"
 ALT="$x(t) = \sqrt{t}$">|; 

$key = q/r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img26.gif"
 ALT="$r$">|; 

$key = q/(mu);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img9.gif"
 ALT="\(\mu\)">|; 

$key = q/(simr^{2});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img65.gif"
 ALT="\(\sim r^{2}\)">|; 

$key = q/I_{5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img118.gif"
 ALT="$I_{5}$">|; 

$key = q/Deltat=t_i-t_{i-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img134.gif"
 ALT="$\Delta t = t_i - t_{i-1}$">|; 

$key = q/(deltat=2times10^{-4});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="115" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img62.gif"
 ALT="\(\delta t=2\times 10^{-4}\)">|; 

$key = q/10^{12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="img80.gif"
 ALT="$10^{12}$">|; 

$key = q/{displaymath}U=-frac{GMm}{r},{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="86" BORDER="0"
 SRC="img63.gif"
 ALT="\begin{displaymath}
U=-\frac{GMm}{r},
\end{displaymath}">|; 

1;