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

$key = q/{_inline}$ngeq10${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img76.gif">'; 
$key = q/{_inline}$f(n)=Theta(h(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img51.gif">'; 
$key = q/{_inline}$(n^4)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img87.gif">'; 
$key = q/{_inline}$g(n)=n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img31.gif">'; 
$key = q/{_inline}$sum_i=1^nfrac1i=Theta(log(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img56.gif">'; 
$key = q/{_inline}$n^b=Omega(n^a)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img123.gif">'; 
$key = q/{_inline}$sum_i=1^nlog_a(i)=Theta(nlogn),a;SPM_gt;1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img55.gif">'; 
$key = q/{_inline}$C_1,C_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img38.gif">'; 
$key = q/{_inline}$n,ngeqN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img83.gif">'; 
$key = q/{}(lim_nrightarrowinftyfracf(n)g(n)=a){}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img18.gif">'; 
$key = q/{_inline}$ngeq1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img101.gif">'; 
$key = q/{_inline}$100n+6geq100n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img97.gif">'; 
$key = q/{_inline}$(n^a)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img125.gif">'; 
$key = q/{_inline}$log^2n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img138.gif">'; 
$key = q/{_inline}$(c^n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img128.gif">'; 
$key = q/{_inline}$ngeq5${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img80.gif">'; 
$key = q/{_inline}$times${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img1.gif">'; 
$key = q/{_inline}$En^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img64.gif">'; 
$key = q/{_inline}$f=Omega(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img120.gif">'; 
$key = q/{_inline}$10n^2+4n+2=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img86.gif">'; 
$key = q/{_inline}$g_1=Omega(g_2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img131.gif">'; 
$key = q/{_inline}$ldots${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img133.gif">'; 
$key = q/{_inline}$g_2=Omega(g_3)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img132.gif">'; 
$key = q/{_inline}$10n^2+4n+2=Theta(n^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img42.gif">'; 
$key = q/{_inline}$C_1astg(n)leqf(n)leqC_2astg(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img39.gif">'; 
$key = q/{_inline}$f(n)=Theta(h(n)),g(n)=Theta(h(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img58.gif">'; 
$key = q/{_inline}$log_bn=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img124.gif">'; 
$key = q/{_inline}$n^12log^2n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img140.gif">'; 
$key = q/{_inline}$3n+2=Theta(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img41.gif">'; 
$key = q/{_inline}$g=Theta(f)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img37.gif">'; 
$key = q/{_inline}$g(n)=Theta(h(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img50.gif">'; 
$key = q/{_inline}$f=Theta(g)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img106.gif">'; 
$key = q/{_inline}$sum_i=1^nfrac1i^2=Theta(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img57.gif">'; 
$key = q/{_inline}$(f+g)(n)=Theta(h(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img48.gif">'; 
$key = q/{_inline}$C_2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img7.gif">'; 
$key = q/{_inline}$3n+6=Theta(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img34.gif">'; 
$key = q/{_inline}$Theta(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img65.gif">'; 
$key = q/{_inline}$P_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img146.gif">'; 
$key = q/{_inline}$(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img117.gif">'; 
$key = q/{_inline}$(32)^n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img142.gif">'; 
$key = q/{_inline}$3n+2=Omega(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img93.gif">'; 
$key = q/{_inline}$log(logn)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img137.gif">'; 
$key = q/{_inline}$i^th${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img147.gif">'; 
$key = q/{_inline}$f=Omega(g)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img118.gif">'; 
$key = q/{_inline}$f(n)=3n+6${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img30.gif">'; 
$key = q/{_inline}$a_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img144.gif">'; 
$key = q/{_inline}$n^a=${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img127.gif">'; 
$key = q/{_inline}$10n^2+4n+2neq${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img84.gif">'; 
$key = q/{_inline}$n^12${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img135.gif">'; 
$key = q/{_inline}$(n^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img78.gif">'; 
$key = q/{_inline}$f(n)=Theta(g(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img49.gif">'; 
$key = q/{_inline}$logn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img136.gif">'; 
$key = q/{_inline}$10n^2+4n+2=Omega(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img103.gif">'; 
$key = q/{_inline}$Theta(logn)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img149.gif">'; 
$key = q/{_inline}$f+g=Omega(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img114.gif">'; 
$key = q/{_inline}$(g)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img115.gif">'; 
$key = q/{_inline}$2+sin(n)=Theta(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img27.gif">'; 
$key = q/{_inline}$left|fracf(n)g(n)-aright|leqc${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img19.gif">'; 
$key = q/{_inline}$3n+2geq3n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img94.gif">'; 
$key = q/{_inline}$fraca2leqfracf(n)g(n)leqfrac3a2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img22.gif">'; 
$key = q/{_inline}$ngeq2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img73.gif">'; 
$key = q/{_inline}$(13)^n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img141.gif">'; 
$key = q/{_inline}$g_1,g_2,ldots,g_11${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img130.gif">'; 
$key = q/{_inline}$3n+2neq${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img81.gif">'; 
$key = q/{_inline}$(1)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img82.gif">'; 
$key = q/{_inline}$a_0otimesa_1otimesldotsotimesa_i${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img148.gif">'; 
$key = q/{_inline}$100n+6=Omega(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img96.gif">'; 
$key = q/{_inline}$g_10=Omega(g_11)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img134.gif">'; 
$key = q/{_inline}$Omega${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img105.gif">'; 
$key = q/{_inline}$left(fraca2right)astg(n)leqf(n)leqleft(frac3a2right)astg(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img24.gif">'; 
$key = q/{_inline}$10n^2+4n+2leq11n^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img79.gif">'; 
$key = q/{_inline}$10n^2+4n+2=Omega(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img102.gif">'; 
$key = q/{_inline}$e(n)=Theta(h(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img60.gif">'; 
$key = q/{_inline}$c=fraca2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img21.gif">'; 
$key = q/{_inline}$otimes${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img143.gif">'; 
$key = q/{_inline}$f(n)leqe(n)leqg(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img59.gif">'; 
$key = q/{_inline}$c^n=Omega(n^a)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img129.gif">'; 
$key = q/{_inline}$C_1${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img6.gif">'; 
$key = q/{_inline}$C_1=3,C_2=4${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img35.gif">'; 
$key = q/{_inline}$n^a=Omega(log_bn)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img126.gif">'; 
$key = q/{_inline}$Theta${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img62.gif">'; 
$key = q/{_inline}$f(n)leqCastg(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img10.gif">'; 
$key = q/{_inline}$Castg(n)leqf(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img13.gif">'; 
$key = q/{_inline}$left(frac1C_2right)astf(n)leqg(n)leqleft(frac1C_1right)astf(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img40.gif">'; 
$key = q/{_inline}$ngeqN${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img25.gif">'; 
$key = q/{}(lim_nrightarrowinftyfrac[2+sin(n)]1){}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img28.gif">'; 
$key = q/{_inline}$a_kn^k+a_k-1n^k-1+cdots+a_1n+a_0=Theta(n^k),a_k;SPM_gt;0${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img52.gif">'; 
$key = q/{}(lim_nrightarrowinftyfracf(n)g(n)=infty){}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img89.gif">'; 
$key = q/{_inline}$10n^2+4n+2=Omega(n^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img99.gif">'; 
$key = q/{_inline}$nlogn${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img150.gif">'; 
$key = q/{_inline}$(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img85.gif">'; 
$key = q/{_inline}$(n^b)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img122.gif">'; 
$key = q/{_inline}$3n+2leq4n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img72.gif">'; 
$key = q/{_inline}$sum_i=1^ni=Theta(n^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img54.gif">'; 
$key = q/{_inline}$10n^2+4n+2neqTheta(n)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img43.gif">'; 
$key = q/{_inline}$Dn^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img63.gif">'; 
$key = q/{_inline}$100n+6leq101n${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img75.gif">'; 
$key = q/{}(lim_nrightarrowinftyfracf(n)g(n)=0){}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img68.gif">'; 
$key = q/{_inline}$10astlogn+4=Theta(logn).Box${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img44.gif">'; 
$key = q/{_inline}$10n^2+4n+2geqn^2${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img100.gif">'; 
$key = q/{_inline}$Theta(n^2)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img66.gif">'; 
$key = q/{_inline}$g=Omega(h)${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img119.gif">'; 
$key = q/{_inline}$log_a(n)=Theta(log_b(n))${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=MIDDLE ALT="" SRC="img53.gif">'; 
$key = q/{_inline}$Box${_inline}/;
$cached_env_img{$key} ='<IMG  ALIGN=BOTTOM ALT="" SRC="img104.gif">'; 

1;

