# LaTeX2HTML 99.2beta8 (1.43)
# Associate images original text with physical files.


$key = q/<S>;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$&lt;S&gt;$">|; 

$key = q/frac{(betaraisebox{+3pt}{{small{2}+1)*R*P}{betaraisebox{+3pt}{{small{2}*R+P};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\frac{(\beta\raisebox{+3pt}{\small 2}+1)*R*P}{\beta\raisebox{+3pt}{\small 2}*R+P}$">|; 

$key = q/>;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$&gt;$">|; 

$key = q/+;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$+$">|; 

$key = q/JJ;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$JJ$">|; 

$key = q/[;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$[$">|; 

$key = q/R=frac{Numberofcorrectproposedpatterns}{Numberofcorrectpatterns};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$R= \frac{Number of correct proposed patterns}{Number of correct patterns}$">|; 

$key = q/X;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$X$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{char}(JJ)=0.009;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$f\raisebox{-5pt}{\footnotesize char}(JJ)=0.009$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{char};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$f\raisebox{-5pt}{\footnotesize char}$">|; 

$key = q/displaystylefraisebox{-5pt}{{footnotesize{char}(X)=frac{sum_{C}{[X]}}{sum_{C}{X}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="159" HEIGHT="61" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$\displaystyle f\raisebox{-5pt}{\footnotesize char}(X)= \frac{\sum_{C}{[X]}}{\sum_{C}{X}}$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{nu};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$f\raisebox{-5pt}{\footnotesize nu}$">|; 

$key = q/<Nslash>;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$&lt;N/&gt;$">|; 

$key = q/P=frac{Numberofcorrectproposedpatterns}{Numberofproposedpatterns};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$P= \frac{Number of correct proposed patterns}{Number of proposed patterns}$">|; 

$key = q/thetaraisebox{-5pt}{{footnotesize{char}=0.05;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$\theta\raisebox{-5pt}{\footnotesize char}=0.05$">|; 

$key = q/theta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$\theta $">|; 

$key = q/frac{pos}{pos+neg};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$\frac{pos}{pos+neg}$">|; 

$key = q/<;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$&lt;$">|; 

$key = q/,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$ , $">|; 

$key = q/theta=0.5;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$\theta=0.5$">|; 

$key = q/{algorithm}%latex2htmlidmarker52{caption{learn_set_of_rules(rule,{theta{,pos,negule(x)ENDIFSTATEdelete(x,list)ENDWHILEalgorithmic{{algorithm};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="556" HEIGHT="287" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="\begin{algorithm}
% latex2html id marker 52\caption{learn\_set\_of\_rules (rul...
...rule(x)
\ENDIF
\STATE delete (x,list)
\ENDWHILE
\end{algorithmic}\end{algorithm}">|; 

$key = q/displaystylefraisebox{-5pt}{{footnotesize{nu}(X)=frac{sum_{C}{[Araisebox{-5pt}{{char}}*XAraisebox{-5pt}{{footnotesize{{char}}*]}}{sum_{C}{X}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="277" HEIGHT="66" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$\displaystyle f\raisebox{-5pt}{\footnotesize nu}(X)=\frac{\sum_{C}{[\
A\raiseb...
...size {char}}*  X \
A\raisebox{-5pt}{\footnotesize {char}}*\
]}}{\sum_{C}{X}}$">|; 

$key = q/theta=0.50;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$\theta=0.50$">|; 

$key = q/displaystylefraisebox{-5pt}{{footnotesize{{bright}}(X)=frac{sum_{C}X][NU}{sum_{Craisebox{-5pt}{{footnotesize{wb}}XNU};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="61" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$\displaystyle f\raisebox{-5pt}{\footnotesize {b right}}(X) = \frac{\sum_{C} X ]  [ NU}{\sum_{C\raisebox{-5pt}{\footnotesize wb}} X  NU}$">|; 

$key = q/C;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$C$">|; 

$key = q/beta;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\beta$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{b};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$f\raisebox{-5pt}{\footnotesize b}$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{{bleft}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$f\raisebox{-5pt}{\footnotesize {b left}}$">|; 

$key = q/sum_{C}{P};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$\sum_{C}{P}$">|; 

$key = q/=;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$=$">|; 

$key = q/_{beta=1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$_{\beta=1}$">|; 

$key = q/fraisebox{-5pt}{{footnotesize{{bright}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$f\raisebox{-5pt}{\footnotesize {b right}}$">|; 

$key = q/{table}preform{<verbatim_mark>verbatim22#preform{{{{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="320" HEIGHT="445" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="\begin{table}\begin{verbatim}&lt;S NUM='4563'&gt;
&lt;CL&gt;
&lt;PHR S='NP' &gt;
&lt;W BP='B' C='...
...PHR&gt;
&lt;PHR S='O'&gt;
&lt;W C='.' W='.'/&gt;
&lt;/PHR&gt;
&lt;/CL&gt;
&lt;/S&gt;\end{verbatim}\end{table}">|; 

$key = q/];MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$]$">|; 

$key = q/};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$\}$">|; 

$key = q/theta=0.75;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$\theta =0.75$">|; 

$key = q/{table}preform{<verbatim_mark>verbatim23#preform{{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="136" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{table}\begin{verbatim}&lt;RULE S='I-NP'&gt;
&lt;N/&gt;
&lt;/RULE&gt;\end{verbatim}\end{table}">|; 

$key = q/[JJ];MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$[ JJ ]$">|; 

$key = q/{table}preform{<verbatim_mark>verbatim21#preform{{{{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="532" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{table}\begin{verbatim}&lt;S&gt;
&lt;N W=During C=IN S=B-PP/&gt;
&lt;N W=the C=DT S=B-N...
...drug C=NN S=I-NP/&gt;
&lt;N W=traffickers C=NNS S=I-NP/&gt;
&lt;/S&gt;\end{verbatim}\end{table}">|; 

$key = q/theta=0.90;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$\theta=0.90$">|; 

$key = q/Araisebox{-5pt}{{footnotesize{char}={DT,PRPdollar,POS,JJ,JJR,JJS,;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="327" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$A\raisebox{-5pt}{\footnotesize char}=\{DT, PRP\$, POS, JJ, JJR, JJS, $">|; 

$key = q/fraisebox{-3pt}{{small{nu}(x);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$f\raisebox{-3pt}{\small nu}(x)$">|; 

$key = q/{keywords}SymbolicLearning,RuleInduction,LearningExceptions,NaturalLanguageProcessing,Chunking{keywords};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="491" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="\begin{keywords}
Symbolic Learning, Rule Induction, Learning Exceptions, Natural Language Processing, Chunking
\end{keywords}">|; 

$key = q/beta=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$\beta=1$">|; 

$key = q/displaystylefraisebox{-5pt}{{footnotesize{{bleft}}(X)=frac{sum_{C}NU][X}{sum_{Craisebox{-5pt}{{footnotesize{wb}}NUX};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="61" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$\displaystyle f\raisebox{-5pt}{\footnotesize {b left}}(X) = \frac{\sum_{C} NU ]  [ X}{\sum_{C\raisebox{-5pt}{\footnotesize wb}} NU  X}$">|; 

1;

