# LaTeX2HTML 0.5.3 (Wed Jan 26 1994)
# Associate image original text (scrambled) with physical files.
$key = q/{}[setlength<<432>>abovedisplayskip<<432>><<433>>3pt<<433>>setlength<<434>>belowdisplayskip<<434>><<435>>3pt<<435>>R=frac<<310>>0.0167<<310>><<404>>tanleft(h_a+frac<<311>>7.31<<311>><<312>>h_a+4.4<<312>>right)<<404>>.]{}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p_<<125>>r<<125>>=Hm_<<126>>l<<126>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}${P_k}${}/;
$cached_env_img{$key} ='
';
$key = q/{}$R_i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p^<<127>>*<<127>>_<<128>>r<<128>>=Hm^<<129>>*<<129>>_<<130>>l<<130>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$pm0.2${}/;
$cached_env_img{$key} ='
';
$key = q/{}$R${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m^<<105>>i<<105>>_<<106>>l<<106>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m^<<107>>i<<107>>_<<108>>r<<108>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<102>>r<<102>>=Hm_<<103>>l<<103>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$beta${}/;
$cached_env_img{$key} ='
';
$key = q/{}$h_k${}/;
$cached_env_img{$key} ='
';
$key = q/{}$[d_<<82>>min<<82>>,d_<<83>>max<<83>>]${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(l,lambda)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$H${}/;
$cached_env_img{$key} ='
';
$key = q/{}$V_i^k(h_k)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$lambda(h)=e^<<207>>1-gh<<207>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(40^<<355>>circ<<355>>26',-79^<<356>>circ<<356>>59')${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_o${}/;
$cached_env_img{$key} ='
';
$key = q/{}$rho${}/;
$cached_env_img{$key} ='
';
$key = q/{}$-1;html_special_mark_lt;v_i;html_special_mark_lt;+1${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m^<<119>>*<<119>>_<<120>>l<<120>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<123>>*<<123>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$d_<<88>>i<<88>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p_<<131>>r<<131>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<124>>*<<124>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$lambda(h)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$[d_<<86>>min<<86>>,d_<<87>>max<<87>>]${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<99>>r<<99>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$y${}/;
$cached_env_img{$key} ='
';
$key = q/{}$rho_<<93>>min<<93>>=0.5${}/;
$cached_env_img{$key} ='
';
$key = q/{}$x=uw${}/;
$cached_env_img{$key} ='
';
$key = q/{}$q_<<135>>r<<135>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(x_<<80>>r<<80>>,y_<<81>>r<<81>>)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$MM^<<145>>*<<145>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_i,i=1,ldots,N${}/;
$cached_env_img{$key} ='
';
$key = q/{}$q${}/;
$cached_env_img{$key} ='
';
$key = q/{}$[h_<<170>>min<<170>>,h_<<171>>max<<171>>]${}/;
$cached_env_img{$key} ='
';
$key = q/{}[setlength<<418>>abovedisplayskip<<418>><<419>>3pt<<419>>setlength<<420>>belowdisplayskip<<420>><<421>>3pt<<421>>alpha=arctanleft(frac<<304>>v-v_o<<304>><<305>>f_v<<305>>right)]{}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<151>>*<<151>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(40^<<361>>circ<<361>>22',-79^<<362>>circ<<362>>26')${}/;
$cached_env_img{$key} ='
';
$key = q/{}$h_o=h_a-R+PA${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<152>>*<<152>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}[setlength<<428>>abovedisplayskip<<428>><<429>>3pt<<429>>setlength<<430>>belowdisplayskip<<430>><<431>>3pt<<431>>h_a=alpha+beta]{}/;
$cached_env_img{$key} ='
';
$key = q/{}$i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$g${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<142>>r<<142>>m^<<143>>*<<143>>_<<144>>r<<144>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<100>>l<<100>>=[u,v,w]^<<101>>t<<101>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$sigma${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(l_<<327>>GP<<327>>,lambda_<<328>>GP<<328>>)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$sum_<<110>>i<<110>>|Hm^<<111>>i<<111>>_<<112>>l<<112>>timesm^<<113>>i<<113>>_<<114>>r<<114>>|^<<115>>2<<115>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m^<<121>>*<<121>>_<<122>>r<<122>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$q^<<156>>unit<<156>>_<<157>>r<<157>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}[setlength<<436>>abovedisplayskip<<436>><<437>>3pt<<437>>setlength<<438>>belowdisplayskip<<438>><<439>>3pt<<439>>PA=0.0024cosh_a.]{}/;
$cached_env_img{$key} ='
';
$key = q/{}$h=qm_<<159>>r<<159>>q^<<160>>unit<<160>>_<<161>>r<<161>>m^<<162>>unit<<162>>_<<163>>r<<163>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$rho(d)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<117>>r<<117>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$L_<<206>>min<<206>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_i=-1${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<116>>l<<116>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M${}/;
$cached_env_img{$key} ='
';
$key = q/{}$L_<<204>>min<<204>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<134>>*<<134>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$K${}/;
$cached_env_img{$key} ='
';
$key = q/{}$P^<<155>>unit<<155>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}[setlength<<456>>abovedisplayskip<<456>><<457>>3pt<<457>>setlength<<458>>belowdisplayskip<<458>><<459>>3pt<<459>>left[<<349>>array<<349>><<350>>cccc<<350>>39.764;html_special_mark_amp;-40.567;html_special_mark_amp;1.365;html_special_mark_amp;290.104-12.129;html_special_mark_amp;-13.576;html_special_mark_amp;-52.750;html_special_mark_amp;465.7030.00249;html_special_mark_amp;0.00172;html_special_mark_amp;-0.00041;html_special_mark_amp;1.000<<351>>array<<351>>right].]{}/;
$cached_env_img{$key} ='
';
$key = q/{}$f_v${}/;
$cached_env_img{$key} ='
';
$key = q/{}$pm0.8^<<357>>circ<<357>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(x_k,y_k)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$(40^<<363>>circ<<363>>37',79^<<364>>circ<<364>>52')${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<98>>l<<98>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p_<<139>>r<<139>>p^<<140>>*<<140>>_<<141>>r<<141>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$V_i^k(h_k)=lambda(h_k)v_i^k+(1-lambda(h_k))${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p^<<132>>*<<132>>_<<133>>r<<133>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_i^k${}/;
$cached_env_img{$key} ='
';
$key = q/{}$[d_<<172>>min<<172>>,d_<<173>>max<<173>>]${}/;
$cached_env_img{$key} ='
';
$key = q/{}$PA${}/;
$cached_env_img{$key} ='
';
$key = q/{}$y=vw${}/;
$cached_env_img{$key} ='
';
$key = q/{}$deltarho=0.05${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_k^i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v${}/;
$cached_env_img{$key} ='
';
$key = q/{}$rho_<<91>>max<<91>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$P_k${}/;
$cached_env_img{$key} ='
';
$key = q/{}$R_i,i=1,ldots,N${}/;
$cached_env_img{$key} ='
';
$key = q/{}$n${}/;
$cached_env_img{$key} ='
';
$key = q/{}$sigma_<<92>>min<<92>>=2${}/;
$cached_env_img{$key} ='
';
$key = q/{}$L_k^i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$p_<<146>>r<<146>>p^<<147>>*<<147>>_<<148>>r<<148>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$P^<<158>>unit<<158>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$h${}/;
$cached_env_img{$key} ='
';
$key = q/{}$M^<<118>>*<<118>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<154>>r<<154>>q${}/;
$cached_env_img{$key} ='
';
$key = q/{}$h_o${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_i=+1${}/;
$cached_env_img{$key} ='
';
$key = q/{}$D_k^i${}/;
$cached_env_img{$key} ='
';
$key = q/{}$rho_<<89>>max<<89>>-rho(d_<<90>>i<<90>>);html_special_mark_lt;deltarho${}/;
$cached_env_img{$key} ='
';
$key = q/{}$[d_<<78>>min<<78>>,d_<<79>>max<<79>>]${}/;
$cached_env_img{$key} ='
';
$key = q/{}$v_k^i=v(R_i,x_k,y_k)${}/;
$cached_env_img{$key} ='
';
$key = q/{}$L_<<205>>max<<205>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$L_<<203>>max<<203>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$m_<<136>>r<<136>>m^<<137>>*<<137>>_<<138>>r<<138>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$MM^<<149>>*<<149>>${}/;
$cached_env_img{$key} ='
';
$key = q/{}$V_i^k${}/;
$cached_env_img{$key} ='
';
1;