# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{_inline}$S_i-1,j-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=55 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2839" SRC="img83.gif"  > '; 
$key = q/{figure}centerlinemboxpsfigfigure=figures2b_gaterow_max.ps,height=3.2in,width=3.2inlabel2add_max{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=360 ALIGN=BOTTOM ALT="figure658" SRC="img88.gif"  > '; 
$key = q/{_inline}$mid;mid${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=12 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2385" SRC="img40.gif"  > '; 
$key = q/{figure}[hpt]centerlinefboxpsfigfigure=figuresplatsch.ps,height=3.0in,width=4.0inlabelplateau{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=477 HEIGHT=355 ALIGN=BOTTOM ALT="figure345" SRC="img36.gif"  > '; 
$key = q/{_inline}$S_i,j${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=24 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2833" SRC="img80.gif"  > '; 
$key = q/{figure}[thp]centerminipage[t]3.5inmboxpsfigfigure=figuresnew5bitpar_max.ps,height=3.2in,width=3.2inminipageminipage[t]3.5inmboxpsfigfigure=figuresnew6bitpar_scl_max.ps,height=3.2in,width=3.2inminipagelabel6bitpar_scl_max{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=365 HEIGHT=729 ALIGN=BOTTOM ALT="figure729" SRC="img101.gif"  > '; 
$key = q/{_inline}$overlinef_i,t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=24 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline3291" SRC="img162.gif"  > '; 
$key = q/{figure}[th]centerlinefboxpsfigfigure=figuresctree.ps,height=3.0in,width=5inlabelsimpletree{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=592 HEIGHT=355 ALIGN=BOTTOM ALT="figure863" SRC="img107.gif"  > '; 
$key = q/{displaymath}h_t=a^th_0+bfrac1-a^t1-a{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=328 HEIGHT=41 ALIGN=BOTTOM ALT="displaymath3408" SRC="img219.gif"  > '; 
$key = q/{_inline}$MF_gb${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=44 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4565" SRC="img245.gif"  > '; 
$key = q/{displaymath}f(a_i)=fracm(a_i,t+1)overlinef_tm(a_i,t){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=339 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3359" SRC="img195.gif"  > '; 
$key = q/{_inline}$2^l!${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline2611" SRC="img66.gif"  > '; 
$key = q/{table}centertabular|c|cccc|hline;SPMamp;;SPMamp;;SPMamp;;SPMamp;Length;SPMamp;Width;SPMamp;PGA;SPMamp;CGA;SPMamp;PSHC;SPMamp;;SPMamp;;SPMamp;;SPMamp;hline;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$20$_inline;SPMamp;2;SPMamp;100%;SPMamp;91%;SPMamp;100%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$30$_inline;SPMamp;4;SPMamp;100%;SPMamp;82%;SPMamp;55%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$40$_inline;SPMamp;6;SPMamp;100%;SPMamp;64%;SPMamp;0%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$50$_inline;SPMamp;8;SPMamp;82%;SPMamp;0%;SPMamp;0%;SPMamp;;SPMamp;;SPMamp;;SPMamp;hlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=349 HEIGHT=279 ALIGN=BOTTOM ALT="table436" SRC="img56.gif"  > '; 
$key = q/{}(f(X)=|X|;;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=93 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap3403" SRC="img215.gif"  > '; 
$key = q/{displaymath}m(a_i,t)=fracc:m(a_i,t-1)overlinef_t-1+fracdoverlinef_t-1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=378 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3326" SRC="img188.gif"  > '; 
$key = q/{_inline}$50^th${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=30 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap_inline3015" SRC="img112.gif"  > '; 
$key = q/{table}centertabular|l|lc|ll|ll|hlineFunction;SPMamp;multicolumn2c|emObserved;SPMamp;multicolumn4c|emPredictedcline2-7;SPMamp;_inline$h_0$_inline;SPMamp;_inline$h_500$_inline;SPMamp;_inline$h$_inlinefrom_inline$25$_inline;SPMamp;_inline$h$_inlinefrom_inline$45$_inline;SPMamp;_inline$h$_inlinelower;SPMamp;_inline$h$_inlineupperhlineFlat;SPMamp;_inline$25$_inline;SPMamp;_inline$11.2;(1.9)$_inline;SPMamp;_inline$14.4;(6.0)^*$_inline;SPMamp;_inline$11.4;(1.5)$_inline;SPMamp;_inline$7.7;(0.9)$_inline;SPMamp;_inline$11.2;(1.3)$_inlineF1;SPMamp;_inline$15$_inline;SPMamp;_inline$5.8;(1.1)$_inline;SPMamp;_inline$9.8;(10.2)$_inline;SPMamp;_inline$6.4;(1.3)$_inline;SPMamp;_inline$4.1;(0.5)$_inline;SPMamp;_inline$6.1(1.3)$_inlineF2;SPMamp;_inline$12$_inline;SPMamp;_inline$4.3;(1.2)$_inline;SPMamp;_inline$7.3;(2.4)$_inline;SPMamp;_inline$5.7;(1.4)$_inline;SPMamp;_inline$3.5;(0.9)$_inline;SPMamp;_inline$5.4;(1.0)$_inlineF3;SPMamp;_inline$25$_inline;SPMamp;_inline$8.9;(1.7)$_inline;SPMamp;_inline$8.9;(3.7)^*$_inline;SPMamp;_inline$9.1;(2.1)$_inline;SPMamp;_inline$6.3;(1.1)$_inline;SPMamp;_inline$9.5(1.3)$_inlineF4;SPMamp;_inline$120$_inline;SPMamp;_inline$48.9;(4.7)$_inline;SPMamp;_inline$64.3;(14.0)^*$_inline;SPMamp;_inline$49.3;(12.2)^*$_inline;SPMamp;_inline$32.3;(3.9)$_inline;SPMamp;_inline$51.4;(4.7)$_inlineF5;SPMamp;_inline$17$_inline;SPMamp;_inline$6.8;(1.3)$_inline;SPMamp;_inline$11.3;(4.4)^*$_inline;SPMamp;_inline$7.2;(2.3)$_inline;SPMamp;_inline$4.8;(0.7)$_inline;SPMamp;_inline$6.8;(1.3)$_inlineOneMax;SPMamp;_inline$25$_inline;SPMamp;_inline$9.2;(1.7)$_inline;SPMamp;_inline$10.3;(4.0)^*$_inline;SPMamp;_inline$9.0;(2.2)$_inline;SPMamp;_inline$7.3;(1.3)$_inline;SPMamp;_inline$11.3(1.7)$_inlineOneMax;SPMamp;_inline$100$_inline;SPMamp;_inline$45.7;(5.3)$_inline;SPMamp;_inline$51.5;(11.4)$_inline;SPMamp;_inline$40.3;(13.6)$_inline;SPMamp;_inline$25.7;(4.6)$_inline;SPMamp;_inline$38.7(4.5)$_inlinehlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=657 HEIGHT=233 ALIGN=BOTTOM ALT="table1497" SRC="img223.gif"  > '; 
$key = q/{_inline}$3*2^4${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap_inline2865" SRC="img87.gif"  > '; 
$key = q/{_inline}$s_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2427" SRC="img44.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf6.ps,height=2.0in,width=5.0inlabelmf6a{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure623" SRC="img230.gif"  > '; 
$key = q/{_inline}$y_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2311" SRC="img29.gif"  > '; 
$key = q/{displaymath}Phi(p,t)=frac6p_0(1-p_0)N;left(1-frac2Nright)^t{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=380 HEIGHT=43 ALIGN=BOTTOM ALT="displaymath3119" SRC="img135.gif"  > '; 
$key = q/{displaymath}arraycmboxBed3array;;arraylclX_8,X_6;SPMamp;leq;SPMamp;18X_8,X_6;SPMamp;geq;SPMamp;8X_8X_6;SPMamp;leq;SPMamp;180X_8X_6;SPMamp;geq;SPMamp;100X_6X_8;SPMamp;leq;SPMamp;1.5array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=348 HEIGHT=157 ALIGN=BOTTOM ALT="displaymath2253" SRC="img24.gif"  > '; 
$key = q/{_inline}$h_i,0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=25 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline3303" SRC="img177.gif"  > '; 
$key = q/{figure}[htp]centerlinefboxpsfigfigure=figuresscales.ps,height=3.0in,width=4.0inlabelscales{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=484 HEIGHT=355 ALIGN=BOTTOM ALT="figure90" SRC="img3.gif"  > '; 
$key = q/{_inline}$lceillog30rceil=5${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=95 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3435" SRC="img216.gif"  > '; 
$key = q/{_inline}$73%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3163" SRC="img140.gif"  > '; 
$key = q/{_inline}$vdots${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=3 HEIGHT=15 ALIGN=BOTTOM ALT="tex2html_wrap_inline3299" SRC="img171.gif"  > '; 
$key = q/{}(50){}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap3402" SRC="img213.gif"  > '; 
$key = q/{_inline}$P_c${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2227" SRC="img11.gif"  > '; 
$key = q/{figure}[hp]centerlinepsfigfigure=figuressaga.ps,height=3.0in,width=3.0inlabelsavsga{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=339 HEIGHT=337 ALIGN=BOTTOM ALT="figure1774" SRC="img229.gif"  > '; 
$key = q/{_inline}$MF_bb${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=43 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4081" SRC="img231.gif"  > '; 
$key = q/{_inline}$2^80${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=22 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline2981" SRC="img110.gif"  > '; 
$key = q/{_inline}$F1ldotsF5${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=76 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap_inline3417" SRC="img214.gif"  > '; 
$key = q/{displaymath}arraycmboxHallarray;;arraylcl5.5(X_2-8.5);SPMamp;leq;SPMamp;725.5(X_2-8.5);SPMamp;geq;SPMamp;19array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=366 HEIGHT=55 ALIGN=BOTTOM ALT="displaymath2250" SRC="img21.gif"  > '; 
$key = q/{displaymath}f(b_i)=fracoverlinef_tm(b_i,t+1)-f(a_i)m(a_i,t)p_mm(b_i,t)(1-p_m){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=411 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3360" SRC="img199.gif"  > '; 
$key = q/{_inline}$overlinef_t-2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=31 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3297" SRC="img169.gif"  > '; 
$key = q/{displaymath}overlinef_toverlinef_t-1overlinef_t-2=fracm(a_i,t-2)f(a_i)^3N+fracm(b_i,t-2)f(b_i)^3N{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=460 HEIGHT=42 ALIGN=BOTTOM ALT="displaymath3209" SRC="img170.gif"  > '; 
$key = q/{figure}centerlinemboxpsfigfigure=figures2b_gaterow_avg.ps,height=3.2in,width=3.2inlabel2add_avg{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=360 ALIGN=BOTTOM ALT="figure663" SRC="img89.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf21.ps,height=2.0in,width=5.0inlabelmf21{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1854" SRC="img237.gif"  > '; 
$key = q/{displaymath}s_0=fracsqrtl2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=282 HEIGHT=43 ALIGN=BOTTOM ALT="displaymath3065" SRC="img119.gif"  > '; 
$key = q/{table}[hpt]centerlinetabular|l|l|hline_inline$f(x)=c$_inline;SPMamp;cisaconstant(control)_inline$f(x)=ones(x)$_inline;SPMamp;numberofonesingenotype_inline$f(x)=x$_inline;SPMamp;signed,genotypelength10_inline$f(x)=x^2$_inline;SPMamp;signed,g-length10_inline$f(x)=x^3$_inline;SPMamp;signed,g-length10_inline$f(x,y)=x^y$_inline;SPMamp;signed,g-length20_inline$f(x)=2^x$_inline;SPMamp;allpositive,g-length10_inline$f(x)=log(x)$_inline;SPMamp;allpositive,g-length10_inline$f(x,y)=x^2-y^2$_inline;SPMamp;allpositive,g-length20hline_inline$f(x_i)=sum_i^3x_i^2$_inline;SPMamp;DeJongF1,_inline$(-5.12..5.12)$_inline_inline$f(x_i)=100(x_1^2-x_2)^2$_inline;SPMamp;DeJongF2_inline$(-2.048..2.048)$_inlinehspace1.5cm_inline$+sum_i^2(1-x_i)^2$_inline;SPMamp;_inline$f(x_i)=sum_i^5mboxinteger(x_i)$_inline;SPMamp;DeJongF3_inline$(-5.12..5.12)$_inlinehlinemulticolumn2|c|Apairofdeceptivefunctions.hlinetabularlabelfunctions{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=446 HEIGHT=325 ALIGN=BOTTOM ALT="table929" SRC="img113.gif"  > '; 
$key = q/{displaymath}h_t=sum_i=0^l-1h_i,t=2sum_i=0^l-1fracleft[f(a_i)f(b_i)right]^tleft[f(a_i)^t+1+f(b_i)^t+1right]^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=412 HEIGHT=52 ALIGN=BOTTOM ALT="displaymath3214" SRC="img179.gif"  > '; 
$key = q/{_inline}$phi${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=10 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2171" SRC="img6.gif"  > '; 
$key = q/{displaymath}overlinef_tm(a_i,t+1)=f(a_i)m(a_i,t)(1-p_m)+fracoverlinef_tm(b_i,t+1)p_m(1-p_m)-fracf(a_i)m(a_i,t)p_m^2(1-p_m){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=615 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3362" SRC="img202.gif"  > '; 
$key = q/{figure}[hbp]centerlinemboxpsfigfigure=figuresnew6bitpar.ps,height=3.2in,width=3.2inlabel6bitavg{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=361 HEIGHT=359 ALIGN=BOTTOM ALT="figure717" SRC="img99.gif"  > '; 
$key = q/{displaymath}arraylu=f(b_i)(1-p_m)-f(a_i)p_mmboxvspace1cmw=f(a_i)p_mNarray{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=365 HEIGHT=90 ALIGN=BOTTOM ALT="displaymath3329" SRC="img192.gif"  > '; 
$key = q/{_inline}$a_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline3371" SRC="img196.gif"  > '; 
$key = q/{displaymath}h_0=fracl2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=277 HEIGHT=39 ALIGN=BOTTOM ALT="displaymath3064" SRC="img117.gif"  > '; 
$key = q/{_inline}$S_i+1,j-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=58 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2837" SRC="img82.gif"  > '; 
$key = q/{figure}[htp]centerlinemboxpsfigfigure=figures5b_par_3cmp_max.ps,height=3.2in,width=3.2inlabel5bit_sel_max{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=361 HEIGHT=359 ALIGN=BOTTOM ALT="figure743" SRC="img102.gif"  > '; 
$key = q/{_inline}$(X_1)=8.0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=85 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2315" SRC="img31.gif"  > '; 
$key = q/{figure}[h]centerlinepsfigfigure=figuressys.ps,height=4in,width=5inlabelsystem{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=570 HEIGHT=451 ALIGN=BOTTOM ALT="figure856" SRC="img106.gif"  > '; 
$key = q/{_inline}$S_i,j-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2835" SRC="img81.gif"  > '; 
$key = q/{_inline}$X_8${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=22 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2289" SRC="img28.gif"  > '; 
$key = q/{figure}[hp]centerlinefboxpsfigfigure=figurespl2.ps,height=3.0in,width=4.0inlabelpl2.ps{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=477 HEIGHT=355 ALIGN=BOTTOM ALT="figure460" SRC="img61.gif"  > '; 
$key = q/{_inline}$O(logN)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=71 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3399" SRC="img209.gif"  > '; 
$key = q/{displaymath}overlinef_i,t=fracf(a_i)m(a_i,t)+f(b_i)m(b_i,t)N{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=388 HEIGHT=41 ALIGN=BOTTOM ALT="displaymath3205" SRC="img161.gif"  > '; 
$key = q/{displaymath}h_t+1=sum_i=1^lh_i,t+1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=312 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath3084" SRC="img127.gif"  > '; 
$key = q/{_inline}$c_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2455" SRC="img51.gif"  > '; 
$key = q/{displaymath}h_i,t=h_i,t+1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=295 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath3085" SRC="img128.gif"  > '; 
$key = q/{_inline}$PM1_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4093" SRC="img233.gif"  > '; 
$key = q/{figure}[hpt]centerlinemboxpsfigfigure=figurescbrpar.ps,height=3.0in,width=4.5inlabelcbrpar{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=515 HEIGHT=339 ALIGN=BOTTOM ALT="figure908" SRC="img111.gif"  > '; 
$key = q/{figure}[htb]centerlinepsfigfigure=figuresl30-b4.ps,height=3.0in,width=4.0inlabelgraph30b4{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=456 HEIGHT=336 ALIGN=BOTTOM ALT="figure421" SRC="img54.gif"  > '; 
$key = q/{_inline}$h_0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3075" SRC="img116.gif"  > '; 
$key = q/{_inline}$S_i,0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=25 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2841" SRC="img85.gif"  > '; 
$key = q/{_inline}$S_33${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=24 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline2869" SRC="img90.gif"  > '; 
$key = q/{displaymath}h_t=sum_i=1^lh_i,t{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=295 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath3083" SRC="img125.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresgate_in.ps,height=2.5in,width=4.0inlabelgate_input{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=471 HEIGHT=299 ALIGN=BOTTOM ALT="figure650" SRC="img84.gif"  > '; 
$key = q/{displaymath}m(a_i,0)=m(b_i,0)=N2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=355 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath3210" SRC="img174.gif"  > '; 
$key = q/{_inline}$delta(H)(l-1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=100 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2621" SRC="img68.gif"  > '; 
$key = q/{displaymath}calP(t)=1-Phi(p,t){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=322 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath3120" SRC="img136.gif"  > '; 
$key = q/{figure}[htp]centerlinepsfigfigure=figuresl30-b2.ps,height=3.0in,width=4.0inlabelgraph30b2{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=456 HEIGHT=336 ALIGN=BOTTOM ALT="figure416" SRC="img53.gif"  > '; 
$key = q/{_inline}$MF_gg${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=44 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2759" SRC="img77.gif"  > '; 
$key = q/{figure}[hbp]centerlinemboxpsfigfigure=figuresnew5bitpar.ps,height=3.2in,width=3.2inlabel5bit_avg{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=362 HEIGHT=359 ALIGN=BOTTOM ALT="figure707" SRC="img97.gif"  > '; 
$key = q/{figure}[hbp]centerlinemboxpsfigfigure=figures4bit_cga_parcircuit.ps,height=2.5in,width=4.0inlabel4cga{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=450 HEIGHT=280 ALIGN=BOTTOM ALT="figure760" SRC="img105.gif"  > '; 
$key = q/{_inline}$f(a_i)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=38 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3375" SRC="img200.gif"  > '; 
$key = q/{displaymath}mboxDec1:;mboxDeceptive(x_1^2,;x_2^8){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=346 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath3168" SRC="img143.gif"  > '; 
$key = q/{_inline}$s_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2431" SRC="img46.gif"  > '; 
$key = q/{displaymath}h_i,t+1=fracm(a_i,t+1)m(b_i,t+1)N(N-1)2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=377 HEIGHT=46 ALIGN=BOTTOM ALT="displaymath3203" SRC="img156.gif"  > '; 
$key = q/{figure}[htp]centerlinefboxpsfigfigure=figuressieve.ps,height=3.0in,width=4.0inlabelsieve{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=484 HEIGHT=355 ALIGN=BOTTOM ALT="figure96" SRC="img4.gif"  > '; 
$key = q/{_inline}$h_i,t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=24 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline3107" SRC="img124.gif"  > '; 
$key = q/{displaymath}overlinef_tm(a_i,t+1)(1-p_m)-overlinef_tm(b_i,t+1)p_m=f(a_i)m(a_i,t)(1-p_m)^2-f(a_i)m(a_i,t)p_m^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=686 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath3363" SRC="img204.gif"  > '; 
$key = q/{figure}[hp]centerlinefboxpsfigfigure=figurespareto.ps,height=3.2in,width=4.0inlabelpopt{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=477 HEIGHT=378 ALIGN=BOTTOM ALT="figure381" SRC="img49.gif"  > '; 
$key = q/{figure}[tph]centerlinepsfigfigure=.figuresdec1_m1_r1.ps,height=3.0in,width=5.0in{figure}/;
$cached_env_img{$key} = ''; 
$key = q/{_inline}$Mask2_i=0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=97 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2683" SRC="img74.gif"  > '; 
$key = q/{_inline}$10^302${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=51 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline2141" SRC="img1.gif"  > '; 
$key = q/{figure}[htp]centerlinefboxpsfigfigure=figurestzoom.ps,height=2.5in,width=5in{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=298 ALIGN=BOTTOM ALT="figure892" SRC="img109.gif"  > '; 
$key = q/{_inline}$99%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2529" SRC="img58.gif"  > '; 
$key = q/{displaymath}fracf_idisplaystylesum_i=0^i=Nf_i{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=272 HEIGHT=74 ALIGN=BOTTOM ALT="displaymath2343" SRC="img34.gif"  > '; 
$key = q/{displaymath}overlinef_toverlinef_t-1=fracm(a_i,t-2)f(a_i)^3Noverlinef_t-2+fracm(b_i,t-2)f(b_i)^3Noverlinef_t-2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=443 HEIGHT=48 ALIGN=BOTTOM ALT="displaymath3208" SRC="img168.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf1.ps,height=2.0in,width=5.0inlabelmf1{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1839" SRC="img232.gif"  > '; 
$key = q/{displaymath}overlinef_toverlinef_t-1=fracm(a_i,t-1)f(a_i)^2N+fracm(b_i,t-1)f(b_i)^2N{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=443 HEIGHT=42 ALIGN=BOTTOM ALT="displaymath3207" SRC="img166.gif"  > '; 
$key = q/{displaymath}overlinef_tm(a_i,t+1)=f(a_i)m(a_i,t)(1-p_m)+left[m(b_i,t)p_mright]left[fracoverlinef_tm(b_i,t+1)-f(a_i)m(a_i,t)p_mm(b_i,t)(1-p_m)right]{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=685 HEIGHT=48 ALIGN=BOTTOM ALT="displaymath3361" SRC="img201.gif"  > '; 
$key = q/{_inline}$2^n${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline2845" SRC="img86.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf3.ps,height=2.0in,width=5.0inlabelmf3{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1922" SRC="img246.gif"  > '; 
$key = q/{figure}[hp]centerlinepsfigfigure=figurespl2.ps,height=3.0in,width=4.0inlabeleasyspace{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=456 HEIGHT=344 ALIGN=BOTTOM ALT="figure1763" SRC="img226.gif"  > '; 
$key = q/{_inline}$delta(H)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=38 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2617" SRC="img67.gif"  > '; 
$key = q/{_inline}$chi^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline2525" SRC="img57.gif"  > '; 
$key = q/{figure}[hpt]centerlinepsfigfigure=figuresdec1_l.ps,width=4.0in,height=3.4inlabeldec1T{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=458 HEIGHT=387 ALIGN=BOTTOM ALT="figure1083" SRC="img146.gif"  > '; 
$key = q/{displaymath}arraycmboxDoorwaysinhallarray;;arraylcrX_7-8.5;SPMamp;geq;SPMamp;3X_8-X_4;SPMamp;geq;SPMamp;3array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=395 HEIGHT=51 ALIGN=BOTTOM ALT="displaymath2254" SRC="img25.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf52.ps,height=2.0in,width=5.0inlabelmf52{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1907" SRC="img244.gif"  > '; 
$key = q/{_inline}$X_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=22 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2287" SRC="img27.gif"  > '; 
$key = q/{_inline}$m(b_i,t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=58 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3257" SRC="img153.gif"  > '; 
$key = q/{_inline}$CM1_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline4101" SRC="img235.gif"  > '; 
$key = q/{displaymath}arrayrF=X_1X_2+2X_3X_4+93.5;mbox(costofbath);+5.5(X_2-8.5)+X_4X_5+X_6X_7+X_6X_8array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=428 HEIGHT=87 ALIGN=BOTTOM ALT="displaymath2247" SRC="img18.gif"  > '; 
$key = q/{displaymath}h_t+1=ah_t{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=291 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath3407" SRC="img210.gif"  > '; 
$key = q/{displaymath}(p_m)^l2(1-p_m)^l2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=320 HEIGHT=23 ALIGN=BOTTOM ALT="displaymath2365" SRC="img43.gif"  > '; 
$key = q/{figure}[htp]centerlinemboxpsfigfigure=figures4bit_rest_max.ps,height=3.2in,width=3.2inlabel4bit_mx{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=359 ALIGN=BOTTOM ALT="figure692" SRC="img94.gif"  > '; 
$key = q/{displaymath}m(a_i,t)=fracf(a_i)m(a_i,t-1)(1-p_m)+f(b_i)p_mleft[N-m(a_i,t-1)right]overlinef_t-1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=526 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3324" SRC="img186.gif"  > '; 
$key = q/{displaymath}h_i,t+1=fracm(a_i,t)f(a_i)overlinef_tfracm(b_i,t)f(b_i)overlinef_tfrac1N(N-1)2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=438 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3204" SRC="img158.gif"  > '; 
$key = q/{figure}centerlinetabular|l|r|hlinebfCase;SPMamp;bfRulehlineBothgood;SPMamp;_inline$MF_gg$_inlinehlineBothbad;SPMamp;_inline$MF_bb$_inlinehlineBothaverage;SPMamp;_inline$MF_aa$_inlinehlineOnegood,onebad;SPMamp;_inline$MF_gb$_inlinehlineOnegood,oneaverage;SPMamp;_inline$MF_ga$_inlinehlineOneaverage,onebad;SPMamp;_inline$MF_ab$_inlinehlinetabularlabelnine2{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=272 HEIGHT=167 ALIGN=BOTTOM ALT="figure598" SRC="img76.gif"  > '; 
$key = q/{displaymath}h_i,t=left[f(a_i)f(b_i)right]^tfrac4h_i,0left[f(a_i)^t+1+f(b_i)^t+1right]^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=409 HEIGHT=46 ALIGN=BOTTOM ALT="displaymath3211" SRC="img175.gif"  > '; 
$key = q/{_inline}$MF_aa${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=46 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4383" SRC="img240.gif"  > '; 
$key = q/{table}centertabular|l|ll|ll|ll|hlinefootnotesizeFunction;SPMamp;multicolumn2c|emfootnotesizeObserved;SPMamp;multicolumn4c|emfootnotesizePredictedcline2-7;SPMamp;_inline$scriptstyleF_0$_inline;SPMamp;_inline$scriptstyleF_500$_inline;SPMamp;_inline$scriptstyleF10$_inline;SPMamp;_inline$scriptstyleF20$_inline;SPMamp;_inline$scriptstyleF$_inlinefootnotesizelower;SPMamp;_inline$scriptstyleF$_inlinefootnotesizeupperhlinefootnotesizeF1;SPMamp;_inline$scriptstyle53.6$_inline;SPMamp;_inline$scriptstyle74.5;(2.8)$_inline;SPMamp;_inline$scriptstyle72.9;(14.6)$_inline;SPMamp;_inline$scriptstyle72.8;(5.2)$_inline;SPMamp;_inline$scriptstyle71.7;(4.3)$_inline;SPMamp;_inline$scriptstyle72.8;(4.5)$_inlinefootnotesizeF2;SPMamp;_inline$scriptstyle3462.6$_inline;SPMamp;_inline$scriptstyle3931.1;(69.1)$_inline;SPMamp;_inline$scriptstyle3856.2;(71.4)$_inline;SPMamp;_inline$scriptstyle3872.6;(65.7)$_inline;SPMamp;_inline$scriptstyle4031.0;(77.2)$_inline;SPMamp;_inline$scriptstyle4098.9;(109.0)$_inlinefootnotesizeF3;SPMamp;_inline$scriptstyle32.4$_inline;SPMamp;_inline$scriptstyle49.3;(2.9)$_inline;SPMamp;_inline$scriptstyle43.0;(3.3)$_inline;SPMamp;_inline$scriptstyle51.0;(14.4)$_inline;SPMamp;_inline$scriptstyle40.8;(2.3)$_inline;SPMamp;_inline$scriptstyle41.9;(2.5)$_inlinefootnotesizeF4;SPMamp;_inline$scriptstyle970.0$_inline;SPMamp;_inline$scriptstyle1055.4;(40.8)$_inline;SPMamp;_inline$scriptstyle1023.0;(31.0)$_inline;SPMamp;_inline$scriptstyle1020.1;(57.2)$_inline;SPMamp;_inline$scriptstyle1040.1;(27.5)$_inline;SPMamp;_inline$scriptstyle1055.5;(27.8)$_inlinefootnotesizeF5;SPMamp;_inline$scriptstyle3.99651$_inline;SPMamp;_inline$scriptstyle3.99796;(0.0)$_inline;SPMamp;_inline$scriptstyle3.9972;(0.0)$_inline;SPMamp;_inline$scriptstyle3.99679;(0.0)$_inline;SPMamp;_inline$scriptstyle4.2;(0.0)$_inline;SPMamp;_inline$scriptstyle4.3;(0.0)$_inlinefootnotesizeOneMax;SPMamp;_inline$scriptstyle24.6$_inline;SPMamp;_inline$scriptstyle33.5;(2.3)$_inline;SPMamp;_inline$scriptstyle36.0;(12.2)$_inline;SPMamp;_inline$scriptstyle30.6;(11.2)$_inline;SPMamp;_inline$scriptstyle29.8;(1.2)$_inline;SPMamp;_inline$scriptstyle30.3;(1.3)$_inlinefootnotesizeOneMax;SPMamp;_inline$scriptstyle99.9$_inline;SPMamp;_inline$scriptstyle110.9;(5.4)$_inline;SPMamp;_inline$scriptstyle124.8;(59.8)$_inline;SPMamp;_inline$scriptstyle109.8;(5.9)$_inline;SPMamp;_inline$scriptstyle109.5;(3.2)$_inline;SPMamp;_inline$scriptstyle111.5;(2.7)$_inlinehlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=630 HEIGHT=210 ALIGN=BOTTOM ALT="table1520" SRC="img224.gif"  > '; 
$key = q/{displaymath}X_1=mboxMin(X_1)+frac100.0times12.0y_1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=372 HEIGHT=43 ALIGN=BOTTOM ALT="displaymath2256" SRC="img30.gif"  > '; 
$key = q/{_inline}$h_t+1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=32 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline3111" SRC="img126.gif"  > '; 
$key = q/{_inline}$h_t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3229" SRC="img149.gif"  > '; 
$key = q/{displaymath}left(arraycNkarrayright)p_i^k(1-p_i)^N-k{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=334 HEIGHT=67 ALIGN=BOTTOM ALT="displaymath3118" SRC="img132.gif"  > '; 
$key = q/{figure}[htp]centerlinemboxpsfigfigure=figuresnew5bitpar_max.ps,height=3.2in,width=3.2inlabel5bit_mx{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=362 HEIGHT=359 ALIGN=BOTTOM ALT="figure702" SRC="img96.gif"  > '; 
$key = q/{displaymath}overlinef_t=frac1overlinef_t-1fracf(a_i)^2m(a_i,t-1)+f(b_i)^2m(b_i,t-1)N{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=443 HEIGHT=48 ALIGN=BOTTOM ALT="displaymath3206" SRC="img164.gif"  > '; 
$key = q/{displaymath}arraycmboxBed2array;;arraylclX_6,X_7;SPMamp;leq;SPMamp;20X_6,X_7;SPMamp;geq;SPMamp;9X_6X_7;SPMamp;leq;SPMamp;180X_6X_7;SPMamp;geq;SPMamp;100X_6X_7;SPMamp;leq;SPMamp;1.5array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=348 HEIGHT=157 ALIGN=BOTTOM ALT="displaymath2252" SRC="img23.gif"  > '; 
$key = q/{figure}[htp]centerlinemboxpsfigfigure=figuresnew6bitpar_max.ps,height=3.2in,width=3.2inlabel6bitmax{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=362 HEIGHT=359 ALIGN=BOTTOM ALT="figure712" SRC="img98.gif"  > '; 
$key = q/{figure}[hpt]centerlinepsfigfigure=figuresdec2_l.ps,width=4.0in,height=3.4inlabeldec2T{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=458 HEIGHT=388 ALIGN=BOTTOM ALT="figure1088" SRC="img147.gif"  > '; 
$key = q/{_inline}$ldots${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=20 HEIGHT=2 ALIGN=BOTTOM ALT="tex2html_wrap_inline3091" SRC="img121.gif"  > '; 
$key = q/{_inline}$m(b_i,t)=N-m(a_i,t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=184 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3357" SRC="img185.gif"  > '; 
$key = q/{_inline}$m(a_i,t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=60 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3255" SRC="img152.gif"  > '; 
$key = q/{table}centertabular|c|cccc|hline;SPMamp;;SPMamp;;SPMamp;;SPMamp;Length;SPMamp;Width;SPMamp;PGA;SPMamp;CGA;SPMamp;PSHC;SPMamp;;SPMamp;;SPMamp;;SPMamp;hline;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$20$_inline;SPMamp;1;SPMamp;100%;SPMamp;55%;SPMamp;45%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$30$_inline;SPMamp;2;SPMamp;100%;SPMamp;27%;SPMamp;18%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$40$_inline;SPMamp;3;SPMamp;73%;SPMamp;0%;SPMamp;0%;SPMamp;;SPMamp;;SPMamp;;SPMamp;_inline$50$_inline;SPMamp;4;SPMamp;45%;SPMamp;0%;SPMamp;0%;SPMamp;;SPMamp;;SPMamp;;SPMamp;hlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=349 HEIGHT=279 ALIGN=BOTTOM ALT="table428" SRC="img55.gif"  > '; 
$key = q/{_inline}$x_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2379" SRC="img38.gif"  > '; 
$key = q/{figure}[hbp]centerlinemboxpsfigfigure=figures5b_par_3cmp_avg.ps,height=3.2in,width=3.2inlabel5bit_sel_avg{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=361 HEIGHT=359 ALIGN=BOTTOM ALT="figure748" SRC="img103.gif"  > '; 
$key = q/{displaymath}h_t+1=h_t{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=287 HEIGHT=18 ALIGN=BOTTOM ALT="displaymath3086" SRC="img129.gif"  > '; 
$key = q/{figure}[hbp]centerlinemboxpsfigfigure=figures4bit_rest_avg.ps,height=3.2in,width=3.2inlabel4bit_avg{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=359 ALIGN=BOTTOM ALT="figure697" SRC="img95.gif"  > '; 
$key = q/{displaymath}mboxDec2:;mboxDeceptive(x_1^2,;x_2^8,;x_3^5,;x_4^5){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=378 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath3169" SRC="img144.gif"  > '; 
$key = q/{_inline}$h_i,t+1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=40 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline3283" SRC="img157.gif"  > '; 
$key = q/{table}centertabular|c|cll|hline;SPMamp;;SPMamp;;SPMamp;Length;SPMamp;Width;SPMamp;PGAvsCGA;SPMamp;CGAvsPSHC;SPMamp;;SPMamp;Significant?;SPMamp;Significant?hline;SPMamp;;SPMamp;;SPMamp;_inline$20$_inline;SPMamp;2;SPMamp;No;SPMamp;No%;SPMamp;;SPMamp;;SPMamp;_inline$30$_inline;SPMamp;4;SPMamp;Yes(_inline$75%$_inline);SPMamp;Yes(_inline$75%$_inline);SPMamp;;SPMamp;;SPMamp;_inline$40$_inline;SPMamp;6;SPMamp;Yes(_inline$95%$_inline);SPMamp;Yes(_inline$95%$_inline);SPMamp;;SPMamp;;SPMamp;_inline$50$_inline;SPMamp;8;SPMamp;Yes(_inline$99%$_inline);SPMamp;No;SPMamp;;SPMamp;;SPMamp;hlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=423 HEIGHT=279 ALIGN=BOTTOM ALT="table448" SRC="img60.gif"  > '; 
$key = q/{displaymath}m(a_i,t)=fracc^tm(a_i,0)displaystyleprod_k=0^t-1overlinef_k:+:fracddisplaystyleprod_k=0^t-2overlinef_ksum_i=0^t-2c^iprod_k=i+1^t-2overlinef_k{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=429 HEIGHT=79 ALIGN=BOTTOM ALT="displaymath3328" SRC="img190.gif"  > '; 
$key = q/{_inline}$S^prime${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=20 HEIGHT=19 ALIGN=BOTTOM ALT="tex2html_wrap_inline2355" SRC="img35.gif"  > '; 
$key = q/{_inline}$F_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3913" SRC="img227.gif"  > '; 
$key = q/{figure}[hpb]centerlinefboxpsfigfigure=figuresplat.ps,height=3.0in,width=4.0inlabelliner{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=477 HEIGHT=355 ALIGN=BOTTOM ALT="figure350" SRC="img37.gif"  > '; 
$key = q/{}(Phi(p,t)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=50 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap3113" SRC="img133.gif"  > '; 
$key = q/{displaymath}arrayrF=X_1X_2+2X_3X_4+93.5;mbox(costofbath);+5.5(X_2-8.5)+X_4X_5+X_6X_7+X_6X_8+mboxpenaltiesarray{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=428 HEIGHT=89 ALIGN=BOTTOM ALT="displaymath2257" SRC="img32.gif"  > '; 
$key = q/{displaymath}epsilon=fracb1-a{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=288 HEIGHT=39 ALIGN=BOTTOM ALT="displaymath3409" SRC="img222.gif"  > '; 
$key = q/{displaymath}mboxDeceptive(x_i)=sum_i=1^nleft{arrayllx_i;SPMamp;mboxif;x_ineq02^l_i+2;SPMamp;mboxif;x_i=0arrayright}{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=414 HEIGHT=67 ALIGN=BOTTOM ALT="displaymath3167" SRC="img142.gif"  > '; 
$key = q/{_inline}$Mask1_i=0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=97 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2673" SRC="img71.gif"  > '; 
$key = q/{displaymath}h_i,t=frac4left[f(a_i)f(b_i)right]^tleft[f(a_i)^t+1+f(b_i)^t+1right]^2h_i,0{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=372 HEIGHT=50 ALIGN=BOTTOM ALT="displaymath3212" SRC="img176.gif"  > '; 
$key = q/{figure}[htp]centerlinemboxpsfigfigure=figures4bit_dga_parcircuit.ps,height=2.5in,width=4.0inlabel4dga{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=449 HEIGHT=280 ALIGN=BOTTOM ALT="figure755" SRC="img104.gif"  > '; 
$key = q/{_inline}$Mask2_i=1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=96 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2671" SRC="img70.gif"  > '; 
$key = q/{displaymath}arraycmboxLivingarray;;arraylclX_1,X_2;SPMamp;leq;SPMamp;20X_1,X_2;SPMamp;geq;SPMamp;8X_1X_2;SPMamp;leq;SPMamp;300X_1X_2;SPMamp;geq;SPMamp;120X_1X_2;SPMamp;leq;SPMamp;1.5array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=353 HEIGHT=157 ALIGN=BOTTOM ALT="displaymath2248" SRC="img19.gif"  > '; 
$key = q/{_inline}$(d_1,d_2,ldots,d_n)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=114 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2433" SRC="img47.gif"  > '; 
$key = q/{}(frac12l){}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=23 ALIGN=BOTTOM ALT="tex2html_wrap2573" SRC="img63.gif"  > '; 
$key = q/{displaymath}h_i,t=left[f(a_i)f(b_i)right]^tfrach_i,0left[fracm(a_i,0)f(a_i)^t+1N+fracm(b_i,0)f(b_i)^t+1Nright]^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=446 HEIGHT=55 ALIGN=BOTTOM ALT="displaymath1229" SRC="img173.gif"  > '; 
$key = q/{_inline}$epsilon${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=6 HEIGHT=8 ALIGN=BOTTOM ALT="tex2html_wrap_inline3549" SRC="img221.gif"  > '; 
$key = q/{_inline}$P_m${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=24 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2229" SRC="img12.gif"  > '; 
$key = q/{tabular}|llllllll|hlinelabelaptable;SPMamp;multicolumn2csfLength;SPMamp;multicolumn2csfWidth;SPMamp;multicolumn2csfArea;SPMamp;Room;SPMamp;Min;SPMamp;Max;SPMamp;Min;SPMamp;Max;SPMamp;Min;SPMamp;Max;SPMamp;ProportionhlineLiving;SPMamp;8;SPMamp;20;SPMamp;8;SPMamp;20;SPMamp;120;SPMamp;300;SPMamp;1.5Kitchen;SPMamp;6;SPMamp;18;SPMamp;6;SPMamp;18;SPMamp;50;SPMamp;120;SPMamp;anyBath;SPMamp;5.5;SPMamp;5.5;SPMamp;8.5;SPMamp;8.5;SPMamp;;SPMamp;;SPMamp;Hall;SPMamp;5.5;SPMamp;5.5;SPMamp;3.5;SPMamp;6;SPMamp;19;SPMamp;72;SPMamp;anyBed1;SPMamp;10;SPMamp;17;SPMamp;10;SPMamp;17;SPMamp;100;SPMamp;180;SPMamp;1.5Bed2;SPMamp;9;SPMamp;20;SPMamp;9;SPMamp;20;SPMamp;100;SPMamp;180;SPMamp;1.5Bed3;SPMamp;8;SPMamp;18;SPMamp;8;SPMamp;18;SPMamp;100;SPMamp;180;SPMamp;1.5hline{tabular}/;
$cached_env_img{$key} = ' <IMG WIDTH=514 HEIGHT=313 ALIGN=BOTTOM ALT="tabular206" SRC="img15.gif"  > '; 
$key = q/{_inline}$overlinef_t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline2215" SRC="img9.gif"  > '; 
$key = q/{displaymath}arraycmboxKitchenarray;;arraylclX_3,X_4;SPMamp;leq;SPMamp;18X_1,X_2;SPMamp;geq;SPMamp;6X_1X_2;SPMamp;leq;SPMamp;120X_1X_2;SPMamp;geq;SPMamp;50array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=120 ALIGN=BOTTOM ALT="displaymath2249" SRC="img20.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmp12d.ps,height=2.5in,width=4.0inlabelmap12d{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=471 HEIGHT=299 ALIGN=BOTTOM ALT="figure640" SRC="img79.gif"  > '; 
$key = q/{figure}[hpt]centerlinepsfigfigure=.figuresapt.ps,height=3.0in,width=4.0inlabelapt{figure}/;
$cached_env_img{$key} = ''; 
$key = q/{displaymath}m(a_i,t)=fracm(a_i,t-1)left[f(a_i)(1-p_m)-f(b_i)p_mright]overlinef_t-1+fracf(b_i)p_mNoverlinef_t-1{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=498 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath3325" SRC="img187.gif"  > '; 
$key = q/{displaymath}arraycmboxWallalignmentsarray;;arraycccccX_1+5.5;SPMamp;=;SPMamp;X_3+X_5;SPMamp;;SPMamp;8.5+(X_2-8.5)+X_4;SPMamp;=;SPMamp;X_7+X_8;SPMamp;=;SPMamp;X_2+X_4array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=565 HEIGHT=53 ALIGN=BOTTOM ALT="displaymath2255" SRC="img26.gif"  > '; 
$key = q/{displaymath}arraycm(a_i,t+1)=m(a_i,t)left[1-p_mright]+m(b_i,t)p_mm(b_i,t+1)=m(b_i,t)left[1-p_mright]+m(a_i,t)p_marray{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=426 HEIGHT=55 ALIGN=BOTTOM ALT="displaymath3323" SRC="img181.gif"  > '; 
$key = q/{_inline}$3^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap_inline2745" SRC="img75.gif"  > '; 
$key = q/{_inline}$i^th${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=19 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline2675" SRC="img72.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figurescross.ps,height=2.0in,width=5.0inlabel1x{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure102" SRC="img5.gif"  > '; 
$key = q/{tabular}|lll|hlinesfRoom;SPMamp;sfLengthWidth;SPMamp;sfLabelhlineLiving;SPMamp;length;SPMamp;_inline$X_1$_inlineLiving;SPMamp;width;SPMamp;_inline$X_2$_inlineKitchen;SPMamp;length;SPMamp;_inline$X_3$_inlineKitchen;SPMamp;width;SPMamp;_inline$X_4$_inlineBed1;SPMamp;length;SPMamp;_inline$X_5$_inlineBed2;SPMamp;length;SPMamp;_inline$X_6$_inlineBed2;SPMamp;width;SPMamp;_inline$X_7$_inlineBed3;SPMamp;width;SPMamp;_inline$X_8$_inlinehline{tabular}/;
$cached_env_img{$key} = ' <IMG WIDTH=280 HEIGHT=313 ALIGN=BOTTOM ALT="tabular226" SRC="img17.gif"  > '; 
$key = q/{_inline}$b_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3397" SRC="img208.gif"  > '; 
$key = q/{displaymath}f(x_i)=mboxconstant;{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=316 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath3117" SRC="img130.gif"  > '; 
$key = q/{_inline}$epsilon;SPMgt;0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3079" SRC="img120.gif"  > '; 
$key = q/{_inline}$f_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline2345" SRC="img33.gif"  > '; 
$key = q/{_inline}$92%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3157" SRC="img139.gif"  > '; 
$key = q/{_inline}$(c_1,c_2,ldots,c_n)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=109 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2429" SRC="img45.gif"  > '; 
$key = q/{figure}[hbp]centerlinefboxpsfigfigure=figurestindex.ps,height=3.0in,width=5in{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=355 ALIGN=BOTTOM ALT="figure888" SRC="img108.gif"  > '; 
$key = q/{_inline}$l_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=9 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3173" SRC="img141.gif"  > '; 
$key = q/{displaymath}fracN(N-1)2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=291 HEIGHT=41 ALIGN=BOTTOM ALT="displaymath3063" SRC="img115.gif"  > '; 
$key = q/{_inline}$MF_ab${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=45 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4157" SRC="img236.gif"  > '; 
$key = q/{_inline}$calF${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=14 ALIGN=BOTTOM ALT="tex2html_wrap_inline3233" SRC="img150.gif"  > '; 
$key = q/{_inline}$PM2_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4097" SRC="img234.gif"  > '; 
$key = q/{_inline}$p_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=15 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline3129" SRC="img131.gif"  > '; 
$key = q/{figure}centerlinemboxpsfigfigure=figures4bit_cga_addercirc.ps,height=2.5in,width=4.0inlabel2bcga_adder{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=448 HEIGHT=280 ALIGN=BOTTOM ALT="figure676" SRC="img92.gif"  > '; 
$key = q/{displaymath}arraycmboxBed1array;;arraylclX_5,X_4;SPMamp;leq;SPMamp;17X_5,X_4;SPMamp;geq;SPMamp;10X_5X_4;SPMamp;leq;SPMamp;180X_5X_4;SPMamp;geq;SPMamp;100X_5X_4;SPMamp;leq;SPMamp;1.5array{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=348 HEIGHT=157 ALIGN=BOTTOM ALT="displaymath2251" SRC="img22.gif"  > '; 
$key = q/{figure}centerlinemboxpsfigfigure=figures4bit_dga_addercirc.ps,height=2.5in,width=4.0inlabel2bdga_adder{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=456 HEIGHT=281 ALIGN=BOTTOM ALT="figure671" SRC="img91.gif"  > '; 
$key = q/{_inline}$MF_ga${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=45 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline4447" SRC="img242.gif"  > '; 
$key = q/{_inline}$p_m${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=23 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2413" SRC="img42.gif"  > '; 
$key = q/{_inline}$;delta(h)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=31 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2221" SRC="img10.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresax.ps,height=2.0in,width=5.0inlabelaxover{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure563" SRC="img69.gif"  > '; 
$key = q/{displaymath}arraylc=f(a_i)(1-p_m)-f(b_i)p_mmboxvspace1cmd=f(b_i)p_mNarray{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=363 HEIGHT=90 ALIGN=BOTTOM ALT="displaymath3327" SRC="img189.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf22.ps,height=2.0in,width=5.0inlabelmf22{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1866" SRC="img239.gif"  > '; 
$key = q/{_inline}$s_0${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=14 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline3077" SRC="img118.gif"  > '; 
$key = q/{_inline}$m(a_i,0)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=62 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3355" SRC="img184.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf51.ps,height=2.0in,width=5.0inlabelmf51{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1899" SRC="img243.gif"  > '; 
$key = q/{_inline}$epsilon=h_t=h_t+1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=106 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline3547" SRC="img220.gif"  > '; 
$key = q/{_inline}$x_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline2383" SRC="img39.gif"  > '; 
$key = q/{displaymath}calP(t)=1-frac6p_0(1-p_0)N;left(1-frac2Nright)^t{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=389 HEIGHT=43 ALIGN=BOTTOM ALT="displaymath3121" SRC="img137.gif"  > '; 
$key = q/{_inline}$(1-p_m)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=66 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3377" SRC="img203.gif"  > '; 
$key = q/{_inline}$F_j${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline3921" SRC="img228.gif"  > '; 
$key = q/{figure}centerlinemboxpsfigfigure=figuresinv.ps,height=1.0in,width=3.0inlabelinv{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=339 HEIGHT=107 ALIGN=BOTTOM ALT="figure516" SRC="img64.gif"  > '; 
$key = q/{_inline}$75%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2535" SRC="img59.gif"  > '; 
$key = q/{_inline}$95%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2879" SRC="img100.gif"  > '; 
$key = q/{_inline}$Mask1_i=1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=96 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline2681" SRC="img73.gif"  > '; 
$key = q/{displaymath}forall_i(c_igeqd_i);mboxAND;exists_i(c_i;SPMgt;d_i){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath2423" SRC="img48.gif"  > '; 
$key = q/{_inline}$(PN)^m${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=64 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2239" SRC="img14.gif"  > '; 
$key = q/{_inline}$4^5400${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=36 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline2173" SRC="img7.gif"  > '; 
$key = q/{_inline}$overlinef_t-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=31 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3295" SRC="img165.gif"  > '; 
$key = q/{_inline}$2^l${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline2609" SRC="img65.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf4.ps,height=2.0in,width=5.0inlabelmf4{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1882" SRC="img241.gif"  > '; 
$key = q/{figure}[hp]centerlinefboxpsfigfigure=figuresshc.ps,height=3.5in,width=4.0inlabelshc_plot{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=477 HEIGHT=413 ALIGN=BOTTOM ALT="figure468" SRC="img62.gif"  > '; 
$key = q/{_inline}$f(b_i)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=36 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3373" SRC="img198.gif"  > '; 
$key = q/{displaymath}h_i,t=frac2left[f(a_i)f(b_i)right]^tleft[f(a_i)^t+1+f(b_i)^t+1right]^2{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=359 HEIGHT=50 ALIGN=BOTTOM ALT="displaymath3213" SRC="img178.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figuresmf6.ps,height=2.0in,width=5.0inlabelmf6{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=241 ALIGN=BOTTOM ALT="figure1825" SRC="img230.gif"  > '; 
$key = q/{_inline}$10%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3061" SRC="img114.gif"  > '; 
$key = q/{_inline}${a,b}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=43 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline3099" SRC="img123.gif"  > '; 
$key = q/{figure}centerlinefboxpsfigfigure=figures3pga.ps,height=3.0in,width=4.0inlabel3pga{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=471 HEIGHT=356 ALIGN=BOTTOM ALT="figure186" SRC="img13.gif"  > '; 
$key = q/{table}centertabular|l|lc|ll|cc|hlinefootnotesizeFunction;SPMamp;multicolumn2c|emfootnotesizeObserved;SPMamp;multicolumn4c|emfootnotesizePredictedcline2-7;SPMamp;_inline$scriptstyleF_0$_inline;SPMamp;_inline$scriptstyleF_500$_inline;SPMamp;_inline$scriptstyleF20$_inline;SPMamp;_inline$scriptstyleF45$_inline;SPMamp;_inline$scriptstyleF$_inlinefootnotesizelower;SPMamp;_inline$scriptstyleF$_inlinefootnotesizeupperhlinefootnotesizeF1;SPMamp;_inline$scriptstyle53.6$_inline;SPMamp;_inline$scriptstyle75.0;(1.8)$_inline;SPMamp;_inline$scriptstyle71.2;(3.8)$_inline;SPMamp;_inline$scriptstyle73.4;(2.6)$_inline;SPMamp;_inline$scriptstyle70.8;(4.2)$_inline;SPMamp;_inline$scriptstyle72.4;(4.5)$_inlinefootnotesizeF2;SPMamp;_inline$scriptstyle3462.6$_inline;SPMamp;_inline$scriptstyle3919.4;(66.1)$_inline;SPMamp;_inline$scriptstyle3842.6;(43.3)$_inline;SPMamp;_inline$scriptstyle3866.8;(39.9)$_inline;SPMamp;_inline$scriptstyle3959.4;(115.0)$_inline;SPMamp;_inline$scriptstyle4029.0;(142.0)$_inlinefootnotesizeF3;SPMamp;_inline$scriptstyle32.4$_inline;SPMamp;_inline$scriptstyle49.6;(1.9)$_inline;SPMamp;_inline$scriptstyle55.3;(21.6)$_inline;SPMamp;_inline$scriptstyle46.9;(2.6)$_inline;SPMamp;_inline$scriptstyle40.4(2.9)$_inline;SPMamp;_inline$scriptstyle41.5;(2.9)$_inlinefootnotesizeF4;SPMamp;_inline$scriptstyle970.0$_inline;SPMamp;_inline$scriptstyle1058.6;(24.5)$_inline;SPMamp;_inline$scriptstyle1243.3;(615.8)$_inline;SPMamp;_inline$scriptstyle1077.0;(68.6)$_inline;SPMamp;_inline$scriptstyle1031.1;(22.4)$_inline;SPMamp;_inline$scriptstyle1052.7;(23.5)$_inlinefootnotesizeF5;SPMamp;_inline$scriptstyle3.996$_inline;SPMamp;_inline$scriptstyle3.997;(0.00)$_inline;SPMamp;_inline$scriptstyle3.996;(0.00)$_inline;SPMamp;_inline$scriptstyle3.997;(0.00)$_inline;SPMamp;_inline$scriptstyle4.20;(0.04)$_inline;SPMamp;_inline$scriptstyle4.25;(0.06)$_inlinefootnotesizeOneMax;SPMamp;_inline$scriptstyle24.6$_inline;SPMamp;_inline$scriptstyle35.2;(1.6)$_inline;SPMamp;_inline$scriptstyle31.0;(4.5)$_inline;SPMamp;_inline$scriptstyle34.8;(5.0)$_inline;SPMamp;_inline$scriptstyle28.8;(1.1)$_inline;SPMamp;_inline$scriptstyle29.3;(1.2)$_inlinefootnotesizeOneMax;SPMamp;_inline$scriptstyle99.9$_inline;SPMamp;_inline$scriptstyle110.7;(3.6)$_inline;SPMamp;_inline$scriptstyle107.4;(3.6)$_inline;SPMamp;_inline$scriptstyle108.8;(5.2)$_inline;SPMamp;_inline$scriptstyle108.9;(2.9)$_inline;SPMamp;_inline$scriptstyle111.2;(3.0)$_inlinehlinetabularcenter{table}/;
$cached_env_img{$key} = ' <IMG WIDTH=637 HEIGHT=210 ALIGN=BOTTOM ALT="table1594" SRC="img225.gif"  > '; 
$key = q/{figure}[hp]centerlinemboxpsfigfigure=figurespar_bbh_map.ps,height=5.0in,width=5.5inlabelParity_checker{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=631 HEIGHT=568 ALIGN=BOTTOM ALT="figure685" SRC="img93.gif"  > '; 
$key = q/{_inline}$50%${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=33 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline2143" SRC="img2.gif"  > '; 
$key = q/{}(0;SPMlt;p;SPMlt;1){}/;
$cached_env_img{$key} = ' <IMG WIDTH=76 HEIGHT=17 ALIGN=BOTTOM ALT="tex2html_wrap3114" SRC="img134.gif"  > '; 
$key = q/{_inline}$CM2_i${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=48 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline4239" SRC="img238.gif"  > '; 
$key = q/{figure}[hp]centerlinefboxpsfigfigure=figures5tree.ps,height=3.0in,width=5in{figure}/;
$cached_env_img{$key} = ' <IMG WIDTH=586 HEIGHT=355 ALIGN=BOTTOM ALT="figure1964" SRC="img247.gif"  > '; 
$key = q/{}(f(x_1,x_2)=10,){}/;
$cached_env_img{$key} = ' <IMG WIDTH=118 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap3401" SRC="img212.gif"  > '; 

1;

