# LaTeX2HTML 95.1 (Fri Jan 20 1995)
# Associate image original text (scrambled) with physical files.

$key = q/{displaymath}N_rmbinsimfracN_rmev50,.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img299.gif">'; 
$key = q/{_inline}$underlinex_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img322.gif">'; 
$key = q/{_inline}$0.25=mu_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img441.gif">'; 
$key = q/{_inline}$f_1=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img454.gif">'; 
$key = q/{_inline}$(chi^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img240.gif">'; 
$key = q/{_inline}$left(p_1+p_2right)^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img443.gif">'; 
$key = q/{_inline}$langleeta_lrangle=mu_l=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img428.gif">'; 
$key = q/{displaymath}x_rmextremenelambdaunderlinex_1+(1-lambda)underlinex_2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img363.gif">'; 
$key = q/{displaymath}chi^2=sum_i=1^Nfracleft(x_i-xi_iright)^2sigma_i^2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img200.gif">'; 
$key = q/{_inline}$rightarrow0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img188.gif">'; 
$key = q/{_inline}$beta${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img482.gif">'; 
$key = q/{}psfigfigure=opt.fig9.ps,clip=true,width=4.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img329.gif">'; 
$key = q/{}psfigfigure=opt.fig13.ps,clip=true,width=3.75in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img463.gif">'; 
$key = q/{_inline}$underliney${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img69.gif">'; 
$key = q/{_inline}$x_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img214.gif">'; 
$key = q/{_inline}$Nrightarrowinfty${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img190.gif">'; 
$key = q/{displaymath}sqrtfrac0.25-0.25^20.25=sqrtfrac34=0.86{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img442.gif">'; 
$key = q/{_inline}$y(x)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img26.gif">'; 
$key = q/{_inline}$p_3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img446.gif">'; 
$key = q/{_inline}$Qsimsqrtlambda_1lambda_n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img341.gif">'; 
$key = q/{_inline}$lambda_d${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img344.gif">'; 
$key = q/{tabular}lll_inline$underlinermParticleslabelledby$_inline;SPM_amp;;SPM_amp;type,;SPM_amp;;SPM_amp;_inline$pi$_inline,_inline$k$_inline,_inline$p$_inline,_inline$overlinepldots$_inlinemomentum,;SPM_amp;;SPM_amp;_inline$underlinep$_inline,_inline$E$_inlineandenergy,mass_inline$^2$_inline;SPM_amp;=;SPM_amp;_inline$E^2-underlinep^2$_inlinephantomandenergy_inline$uparrow$_inlineessentiallydetermined;SPM_amp;;SPM_amp;bytype;SPM_amp;;SPM_amp;{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img67.gif">'; 
$key = q/{_inline}$fracsigmasqrtN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img142.gif">'; 
$key = q/{displaymath}chi^2=sum^N_rmbin_i=1left(N_i-xi_iright)^2oversigma_i^2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img289.gif">'; 
$key = q/{_inline}$lnL${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img283.gif">'; 
$key = q/{_inline}$chi^2left(x_k+1right);SPM_lt;chi^2left(underlinex_kright)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img338.gif">'; 
$key = q/{_inline}$sqrtN_rmexpected${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img480.gif">'; 
$key = q/{_inline}$displaystyleintleft(nablaphiright)^2d^3x${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img10.gif">'; 
$key = q/{_inline}$x_3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img29.gif">'; 
$key = q/{_inline}$delta${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img484.gif">'; 
$key = q/{_inline}$N_xN_y${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img476.gif">'; 
$key = q/{_inline}$ge${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img350.gif">'; 
$key = q/{}psfigfigure=opt.fig7.ps,clip=true,width=4.25in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img263.gif">'; 
$key = q/{_inline}$L(tau)proptofrac1taue^-fract_1tauldotsfrac1taue^-fract_Ntau${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img172.gif">'; 
$key = q/{_inline}$f(x,y)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img493.gif">'; 
$key = q/{_inline}$x=x_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img22.gif">'; 
$key = q/{displaymath}deltawidetildex_m=lambda_m^-1b_mhspace5emmbox(NL.2){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img335.gif">'; 
$key = q/{}psfigfigure=opt.fig6.ps,clip=true,width=5.0in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img226.gif">'; 
$key = q/{_inline}$deltatildex_d${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img342.gif">'; 
$key = q/{}psfigfigure=opt.fig6b.ps,clip=true,width=4.0in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img231.gif">'; 
$key = q/{_inline}$sigma_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img193.gif">'; 
$key = q/{_inline}$(*)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img120.gif">'; 
$key = q/{_inline}$left(i=1ldotsN_rmbinright)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img287.gif">'; 
$key = q/{_inline}$chi^2left(underlinex_k+1right);SPM_gt;;SPM_gt;chi^2left(underlinek_nright)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img337.gif">'; 
$key = q/{_inline}$ntimesn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img393.gif">'; 
$key = q/{_inline}$N_rmexpected${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img479.gif">'; 
$key = q/{_inline}$P_k(t)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img270.gif">'; 
$key = q/{}psfigfigure=opt.fig15.ps,clip=true,width=2.75in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img488.gif">'; 
$key = q/{displaymath}underlineunderlineAleft(underlinex-underlinex_0right)=underlineb{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img315.gif">'; 
$key = q/{_inline}$y=tildey${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img23.gif">'; 
$key = q/{tabular}lle.g.,;SPM_amp;_inline$P_1(t)=1$_inline;SPM_amp;_inline$P_2(t)=(t-1992)$_inline;SPM_amp;_inline$P_3(t)=(t-1992)^2$_inline,etc.{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img267.gif">'; 
$key = q/{_inline}$mtimesr${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img367.gif">'; 
$key = q/{_inline}$t_0+i,deltat${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img274.gif">'; 
$key = q/{_inline}$left(pi^0right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img79.gif">'; 
$key = q/{}psfigfigure=opt.fig14.ps,clip=true,width=4.0in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img477.gif">'; 
$key = q/{_inline}$(t)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img269.gif">'; 
$key = q/{_inline}$underlineb${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img326.gif">'; 
$key = q/{_inline}$a_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img13.gif">'; 
$key = q/{displaymath}sum_j=1^ra_ij,x_jqquadle,ge,hboxor=b_ii=1ldotsm{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img349.gif">'; 
$key = q/{_inline}$x_i,${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img47.gif">'; 
$key = q/{_inline}$a_m${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img241.gif">'; 
$key = q/{_inline}$underlinex_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img360.gif">'; 
$key = q/{_inline}$underlineunderlineAunderlinex=underlineb${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img365.gif">'; 
$key = q/{}psfigfigure=opt.fig3.ps,clip=true,width=4.0in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img73.gif">'; 
$key = q/{displaymath}xi_i=c,expleft(-lambda[t_o+(i-12)]deltatright){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img275.gif">'; 
$key = q/{displaymath}lambda_irightarrowlambda_i+Q{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img340.gif">'; 
$key = q/{}psfigfigure=opt.fig1.ps,clip=true,width=3.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img11.gif">'; 
$key = q/{_inline}$underlinex^rmextreme${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img375.gif">'; 
$key = q/{_inline}$sumlimits_i=1^Nv_i^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img203.gif">'; 
$key = q/{}psfigfigure=opt.fig10.ps,clip=true,width=4.25in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img358.gif">'; 
$key = q/{_inline}$nsim30${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img331.gif">'; 
$key = q/{tabular}lcl_inline$Pleft(underliney_iright)=$_inline;SPM_amp;_inline$displaystyleint$_inline;SPM_amp;knowndepencies;SPM_amp;;SPM_amp;convolutedwithunknown;SPM_amp;;SPM_amp;depencies;SPM_amp;;SPM_amp;togetherwithtotally;SPM_amp;;SPM_amp;unknownprobabilities.{tabular}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img84.gif">'; 
$key = q/{_inline}$z=underlinecunderlinex${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img354.gif">'; 
$key = q/{displaymath}L=prod^n_ev_i=1frac1taucexpleft(-lambdat_iright){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img284.gif">'; 
$key = q/{_inline}$y_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img472.gif">'; 
$key = q/{_inline}$p_4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img447.gif">'; 
$key = q/{_inline}$t_0+(i-1)deltat${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img273.gif">'; 
$key = q/{_inline}$underlinermSelect${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img450.gif">'; 
$key = q/{_inline}$L(tau)=expleftlbrack-frac1tausumlimits_i=1^Nt_i-Nlntaurightrbrack${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img173.gif">'; 
$key = q/{_inline}$displaystylesum_i=1^Ndisplaystylesum_j=1^Mc_ij,x_ij${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img20.gif">'; 
$key = q/{}psfigfigure=opt.fig10b.ps,clip=true,width=4.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img405.gif">'; 
$key = q/{_inline}$Rightarrow${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img85.gif">'; 
$key = q/{_inline}$M_0^2+lDeltaM^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img425.gif">'; 
$key = q/{_inline}$x_4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img30.gif">'; 
$key = q/{_inline}$psi${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img458.gif">'; 
$key = q/{displaymath}M_0^2leleft(p_1+p_2right)^2leM_1^2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img420.gif">'; 
$key = q/{_inline}$f(underlinex)=x_1^2+x_2^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif">'; 
$key = q/{_inline}$underlinea^*=A^-1underlineb${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img250.gif">'; 
$key = q/{_inline}$f_2=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img456.gif">'; 
$key = q/{_inline}$i,${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img292.gif">'; 
$key = q/{}psfigfigure=opt.fig2.ps,clip=true,width=4.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img25.gif">'; 
$key = q/{_inline}$y=y_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img21.gif">'; 
$key = q/{displaymath}f_l=fracN_lN_rmtotalleftarrowmboxTotal#events{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img433.gif">'; 
$key = q/{_inline}$underlinermcan${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img205.gif">'; 
$key = q/{_inline}$varphi=3.1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img412.gif">'; 
$key = q/{_inline}$N_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img437.gif">'; 
$key = q/{_inline}$Pleft(x_i|Tright)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img171.gif">'; 
$key = q/{_inline}$langleyrangle=tau_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img177.gif">'; 
$key = q/{_inline}$x_1=x_2=0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif">'; 
$key = q/{displaymath}L=expleft(-frac12chi^2right){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img258.gif">'; 
$key = q/{_inline}$sim3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img68.gif">'; 
$key = q/{_inline}$mu^pm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img81.gif">'; 
$key = q/{_inline}$underlinep_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img415.gif">'; 
$key = q/{displaymath}mboxSales(t)=sum_i=1^mx_iP_i(t){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img264.gif">'; 
$key = q/{displaymath}D=sum_i=1^Nsum_j=1^Nsum_p=1^N-1d_ijeta_ipeta_jp+1{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img9.gif">'; 
$key = q/{_inline}$z=sum_j=1^rc_jx_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img347.gif">'; 
$key = q/{_inline}$chi^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img486.gif">'; 
$key = q/{_inline}$underlinex_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img381.gif">'; 
$key = q/{_inline}$underlinermGoal${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img46.gif">'; 
$key = q/{displaymath}sum_i=1^rm#experimentsorbins{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img409.gif">'; 
$key = q/{displaymath}x_r+1=sum_j=1^ra_ijx_j-b_1ge0{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img351.gif">'; 
$key = q/{displaymath}sigma_l=sqrtmu_l=sqrtrmmean_,l{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img430.gif">'; 
$key = q/{_inline}$a_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img229.gif">'; 
$key = q/{_inline}$t_1ldotst_N${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img167.gif">'; 
$key = q/{_inline}$le2J${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img224.gif">'; 
$key = q/{_inline}$xgetildex${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img24.gif">'; 
$key = q/{_inline}$underlinex_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img361.gif">'; 
$key = q/{_inline}$underlinea^*${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img255.gif">'; 
$key = q/{_inline}$f_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img435.gif">'; 
$key = q/{_inline}$10^7${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img407.gif">'; 
$key = q/{_inline}$l,${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img423.gif">'; 
$key = q/{displaymath}=sum_ifracleft(partialxi_ipartiala_mright),left(partialxi_ipartiala_lright)sigma_i^2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img248.gif">'; 
$key = q/{_inline}$10rightarrow10^3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img410.gif">'; 
$key = q/{_inline}$x_jge0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img348.gif">'; 
$key = q/{displaymath}DeltaM^2=fracleft(M_1^2-M_0^2right)B{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img422.gif">'; 
$key = q/{_inline}$p_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img444.gif">'; 
$key = q/{displaymath}L=prod_i=1^NP_iproptoexpleftlbrace-sum_i=1^Nfracleft(x_i-xi_iright)^22sigma_i^2rightrbrace{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img198.gif">'; 
$key = q/{_inline}$xi${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img277.gif">'; 
$key = q/{_inline}$lambdane0,1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img364.gif">'; 
$key = q/{_inline}$l=1ldotsB${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img426.gif">'; 
$key = q/{_inline}$p_5${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img448.gif">'; 
$key = q/{displaymath}underlineunderlineArightarrowunderlineunderlineA+QI{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img339.gif">'; 
$key = q/{_inline}$(**)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img400.gif">'; 
$key = q/{_inline}$ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img449.gif">'; 
$key = q/{}psfigfigure=opt.fig11.ps,clip=true,width=4.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img418.gif">'; 
$key = q/{_inline}$DeltaM^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img421.gif">'; 
$key = q/{_inline}$langlef_lrangle=mu_l${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img434.gif">'; 
$key = q/{_inline}$x_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img86.gif">'; 
$key = q/{displaymath}underlinex_k+1=underlinex_k+A^-1bhspace4emmbox(NL.1){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img328.gif">'; 
$key = q/{_inline}$f_1=left(p_1+p_2right)^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img457.gif">'; 
$key = q/{_inline}$sigmasqrtN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img147.gif">'; 
$key = q/{_inline}$tau${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img169.gif">'; 
$key = q/{_inline}$tildex${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img32.gif">'; 
$key = q/{_inline}$e_i=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img272.gif">'; 
$key = q/{}psfigfigure=opt.fig4.ps,clip=true,width=4.25in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img143.gif">'; 
$key = q/{_inline}$lambda_nsim10^-8lambda_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img332.gif">'; 
$key = q/{_inline}$(beta)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img125.gif">'; 
$key = q/{}psfigfigure=opt.fig8.ps,clip=true,width=4.25in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img271.gif">'; 
$key = q/{_inline}$lambda_n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img333.gif">'; 
$key = q/{_inline}$L_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img184.gif">'; 
$key = q/{_inline}$y=frac1Nsumlimits_i=1^Nt_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img176.gif">'; 
$key = q/{_inline}$L=exp${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img259.gif">'; 
$key = q/{_inline}$N_rmbin;SPM_lt;;SPM_lt;N_rmev${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img298.gif">'; 
$key = q/{_inline}$N_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img295.gif">'; 
$key = q/{_inline}$P_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img266.gif">'; 
$key = q/{_inline}$-12left(underlinea-underlinea^*right)^TAleft(underlinea-underlinea^*right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img261.gif">'; 
$key = q/{_inline}$sigma_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img100.gif">'; 
$key = q/{_inline}$M_0^2+left(l-1right)DeltaM^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img424.gif">'; 
$key = q/{_inline}$gamma${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img483.gif">'; 
$key = q/{displaymath}p(t)dt=frac1tauexpleft(-fracttauright)dt{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img168.gif">'; 
$key = q/{_inline}$^*${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img243.gif">'; 
$key = q/{_inline}$underlinermassuming${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img33.gif">'; 
$key = q/{_inline}$underlineunderlineA${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img366.gif">'; 
$key = q/{_inline}$f_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img452.gif">'; 
$key = q/{_inline}$pleft(underliney_iright)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img71.gif">'; 
$key = q/{_inline}$sigma${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img219.gif">'; 
$key = q/{displaymath}deltawidetildex_m=0hspace7emmbox(NL.3){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img336.gif">'; 
$key = q/{displaymath}langlesigma_eta_lrangle=fraclanglesigma_etalranglesqrtN_rmtotal{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img436.gif">'; 
$key = q/{_inline}$underlinermbelieves${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img89.gif">'; 
$key = q/{_inline}$x_2ldotsx_N${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img87.gif">'; 
$key = q/{_inline}$f(underlinex)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img3.gif">'; 
$key = q/{_inline}$c_ij${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img18.gif">'; 
$key = q/{_inline}$underlinep${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img75.gif">'; 
$key = q/{_inline}$underlinermnot${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img50.gif">'; 
$key = q/{_inline}$a-a^*${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img260.gif">'; 
$key = q/{}psfigfigure=opt.fig5.ps,clip=true,width=3.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img221.gif">'; 
$key = q/{_inline}$tau_0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img166.gif">'; 
$key = q/{_inline}$lambdaunderlinex_1+(1-lambda)underlinex_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img362.gif">'; 
$key = q/{displaymath}Pleft(underlinexright)proptoF(x,y){displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img473.gif">'; 
$key = q/{_inline}$underlinex${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img370.gif">'; 
$key = q/{_inline}$v_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img204.gif">'; 
$key = q/{_inline}$lambdadeltat${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img301.gif">'; 
$key = q/{_inline}$1N${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img189.gif">'; 
$key = q/{_inline}$x_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img471.gif">'; 
$key = q/{displaymath}underlineunderlineAleft(underlinex_k+1-underlinex_kright)=underlineb{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img323.gif">'; 
$key = q/{_inline}$p_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img445.gif">'; 
$key = q/{_inline}$sigma_isimsqrtN_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img290.gif">'; 
$key = q/{_inline}$underlinex=underlinex_k${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img327.gif">'; 
$key = q/{displaymath}underlineunderlineA^rmreducedunderlinex=underlineb{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img371.gif">'; 
$key = q/{_inline}$lambda_1;SPM_gt;ldots;SPM_gt;lambda_n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img330.gif">'; 
$key = q/{_inline}$underlineunderlineA^rmreduced${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img376.gif">'; 
$key = q/{_inline}$bullet${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img497.gif">'; 
$key = q/{_inline}$x_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img28.gif">'; 
$key = q/{displaymath}xi_i=sum_m=1^nc_im,a_m{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img230.gif">'; 
$key = q/{displaymath}a_ml=sum_ifracC_im,C_ilsigma_i^2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img247.gif">'; 
$key = q/{_inline}$underline16%${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img440.gif">'; 
$key = q/{_inline}$x_2ldotsx_n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img37.gif">'; 
$key = q/{_inline}$underlinermits${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img218.gif">'; 
$key = q/{_inline}$varphi(beta|T)=1over2sqrtbetanot=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img135.gif">'; 
$key = q/{_inline}$left(t_0+(i-1)deltatletlet_0right)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img293.gif">'; 
$key = q/{displaymath}b_m=sum_ifracx_iC_imsigma_i^2=sum_ifracx_isigma_i^2,fracpartialxi_ipartiala_m{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img249.gif">'; 
$key = q/{_inline}$10^6chi^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img461.gif">'; 
$key = q/{_inline}$mtimesm${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img373.gif">'; 
$key = q/{displaymath}sum_i=1^rm#events{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img406.gif">'; 
$key = q/{_inline}$underlinermgiven${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img110.gif">'; 
$key = q/{displaymath}L=L_1L_2{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img182.gif">'; 
$key = q/{displaymath}P_i=frac1sqrt2pisigma_iexpleftlbrace-fracleft(x_i-xi_iright)^22sigma_i^2rightrbrace{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img196.gif">'; 
$key = q/{_inline}$exp(-lambdat)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img302.gif">'; 
$key = q/{_inline}$underlinermis${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img185.gif">'; 
$key = q/{_inline}$lambda${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img278.gif">'; 
$key = q/{_inline}$dge3${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img459.gif">'; 
$key = q/{displaymath}=sqrtN_rmtotallanglesigma_eta_lrangle=sqrtN_rmtotalmboxmean(eta_l)=sqrtlangleN_lrangle{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img438.gif">'; 
$key = q/{displaymath}mboxconstraintsleft{arraylldisplaystylesum_j=1^N,x_ij;SPM_amp;lea_i;SPM_amp;displaystylesum_i=1^M,x_ij;SPM_amp;=b_jarrayright.{displaymath}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img19.gif">'; 
$key = q/{_inline}$i=1ldotsn_ev${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img282.gif">'; 
$key = q/{_inline}$underlinermor${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img101.gif">'; 
$key = q/{_inline}$underliney_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img70.gif">'; 
$key = q/{_inline}$varphi(beta|T)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img133.gif">'; 
$key = q/{}psfigfigure=opt.fig12.ps,clip=true,width=4.5in{}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img453.gif">'; 
$key = q/{_inline}$underlinea${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img253.gif">'; 
$key = q/{_inline}$xi_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img401.gif">'; 
$key = q/{_inline}$x_ij${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img17.gif">'; 
$key = q/{_inline}$b_j${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img15.gif">'; 

1;

