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eso-midas-doc-13SEPpl1.2-3.mga5.i586.rpm

# LaTeX2HTML 98.1p1 release (March 2nd, 1998)
# Associate images original text with physical files.


$key = q/{displaymath}arrayrclttLOG(x;a,b,c)&=&aln(b+cx)ttEXP(x;a,b,c)&=&aexp(b+cx)array{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="301" HEIGHT="64"
 SRC="img299.gif"
 ALT="\begin{displaymath}\begin{array}{rcl}
{\tt LOG}(x;a,b,c) &=& a \ln (b + cx) \\\\
{\tt EXP}(x;a,b,c) &=& a \exp (b+cx)
\end{array}\end{displaymath}">|; 

$key = q/{}fboxttCtrlslashX{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="31" ALIGN="BOTTOM" BORDER="0"
 SRC="img29.gif"
 ALT="\fbox{\tt Ctrl/X}">|; 

$key = q/{displaymath}a^(k+1)~=~a^(k)~+alpha^(k)~d^(k){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="245" HEIGHT="36"
 SRC="img280.gif"
 ALT="\begin{displaymath}a^{(k+1)}~=~a^{(k)}~+\alpha^{(k)}~d^{(k)}\end{displaymath}">|; 

$key = q/{displaymath}|a^(solution)-a^(found)|leprec~(1+|a^(found)|)~~,{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="40"
 SRC="img292.gif"
 ALT="\begin{displaymath}\Vert a^{(solution)}-a^{(found)}\Vert \le prec~(1+\Vert a^{(found)}\Vert)~~,\end{displaymath}">|; 

$key = q/{inline}V_1~=~Imm~[J(a^(k))^T~J(a^(k))]{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="278" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="img285.gif"
 ALT="$V_1~=~\Im m~[J(a^{(k)})^T~J(a^{(k)})]$">|; 

$key = q/{displaymath}C^(k)=1overalpha^(k)y^(k)Td^(k)y^(k)y^(k)T-1overd^(k)TW^(k)d^(k)W^(k)d^(k)d^(k)TW^(k){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="610" HEIGHT="58"
 SRC="img287.gif"
 ALT="\begin{displaymath}C^{(k)}={1 \over \alpha^{(k)}y^{(k)T}d^{(k)}}y^{(k)}y^{(k)T}-{1 \over
d^{(k)T}W^{(k)}d^{(k)}}W^{(k)}d^{(k)}d^{(k)T}W^{(k)}\end{displaymath}">|; 

$key = q/{displaymath}arrayrclttSIN(x;a,b,c)&=&asin(b+cx)ttTAN(x;a,b,c)&=&atan(b+cx)array{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="64"
 SRC="img300.gif"
 ALT="\begin{displaymath}\begin{array}{rcl}
{\tt SIN}(x;a,b,c) &=& a \sin(b+cx) \\\\
{\tt TAN}(x;a,b,c) &=& a \tan(b+cx)
\end{array}\end{displaymath}">|; 

$key = q/{inline}leftarrow{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img226.gif"
 ALT="$\leftarrow$">|; 

$key = q/{inline}rmIkern-.2000emhboxR^p{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="22" ALIGN="BOTTOM" BORDER="0"
 SRC="img263.gif"
 ALT="$\rm I\kern-.2000em\hbox{R}^p$">|; 

$key = q/{displaymath}J(a^(k))^T~J(a^(k))~Deltaa^(k)~=~-J(a^(k))~r(a^(k)){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="416" HEIGHT="40"
 SRC="img274.gif"
 ALT="\begin{displaymath}J(a^{(k)})^T~J(a^{(k)})~\Delta a^{(k)}~=~-J(a^{(k)})~r(a^{(k)})\end{displaymath}">|; 

$key = q/{displaymath}chi^2~(a)~=~sum_i~w^(i)~[~y^(i)~-~y(x^(i),a)~]^2~{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="379" HEIGHT="61"
 SRC="img266.gif"
 ALT="\begin{displaymath}\chi^2~(a)~=~\sum_i~w^{(i)}~[~y^{(i)}~-~y(x^{(i)},a)~]^2~\end{displaymath}">|; 

$key = q/{displaymath}r(a)~=~(r^(1)(a),ldots,r^(m)(a))~~,{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="297" HEIGHT="40"
 SRC="img269.gif"
 ALT="\begin{displaymath}r(a)~=~(r^{(1)}(a),\ldots,r^{(m)}(a))~~,\end{displaymath}">|; 

$key = q/{displaymath}sum_i~r^(i)~partialr^(i)overpartiala_j=0quad(j=1,ldots,p)~~{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="70"
 SRC="img273.gif"
 ALT="\begin{displaymath}\sum_{i}~r^{(i)}~{\partial {r^{(i)}} \over \partial{a_j}} = 0
\quad (j=1,\ldots,p)~~\end{displaymath}">|; 

$key = q/{inline}e^(x^2+y^2)=(alpha+beta)sin^2theta{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="233" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="img255.gif"
 ALT="$e^{(x^2+y^2)}=(\alpha+\beta)\sin^2\theta$">|; 

$key = q/{inline}|r(a)|{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img284.gif"
 ALT="$\Vert r(a)\Vert$">|; 

$key = q/{figure}centerpicture(145,80)put(0,60)framebox(25,20)put(0,74)makebox(22,6)Pagep2,6)HLeftKeyput(121,61)makebox(22,6)bfHrightKeypicturecenter{figure}FSF=2.6;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="1071" HEIGHT="594"
 SRC="img229.gif"
 ALT="\begin{figure}
\begin{center}
\begin{picture}
(145,80)
\put(0,60){\framebox (25,...
...t(121,61){\makebox(22,6){\bf H right Key}}
\end{picture}\end{center}\end{figure}">|; 

$key = q/{}fboxttF1{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="27" ALIGN="BOTTOM" BORDER="0"
 SRC="img30.gif"
 ALT="\fbox{\tt F1}">|; 

$key = q/{inline}mboxmathbf{circ}{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img11.gif"
 ALT="$\mbox{$\mathbf{\circ}$}$">|; 

$key = q/{inline}leq{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="img131.gif"
 ALT="$\leq$">|; 

$key = q/{inline}downarrow{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="img225.gif"
 ALT="$\downarrow$">|; 

$key = q/{inline}a^(2),a^(3),ldots{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="119" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="img278.gif"
 ALT="$a^{(2)},a^{(3)},\ldots $">|; 

$key = q/{inline}#{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="img15.gif"
 ALT="$\char93 $">|; 

$key = q/{}fboxttBackspace{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="32" ALIGN="BOTTOM" BORDER="0"
 SRC="img223.gif"
 ALT="\fbox{\tt Backspace}">|; 

$key = q/{inline}}){inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img63.gif"
 ALT="$\})$">|; 

$key = q/{inline}ldots{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img297.gif"
 ALT="$\ldots$">|; 

$key = q/{}fboxttReturn{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="27" ALIGN="BOTTOM" BORDER="0"
 SRC="img214.gif"
 ALT="\fbox{\tt Return}">|; 

$key = q/{inline}rightarrow{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img257.gif"
 ALT="$\rightarrow$">|; 

$key = q/{inline}|B(a)|{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img283.gif"
 ALT="$\Vert B(a)\Vert$">|; 

$key = q/{inline}p~leq~10{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="img286.gif"
 ALT="$p~\leq~10$">|; 

$key = q/{inline}uparrow{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="img224.gif"
 ALT="$\uparrow$">|; 

$key = q/{displaymath}arrayrclttPOLY(x;a,b,c,ldots)&=&a+bx+cx^2+cdotsttPOLY(x,y;a,b,c,ldots)&=&a+bx+cy+cdotsarray{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="418" HEIGHT="64"
 SRC="img298.gif"
 ALT="\begin{displaymath}\begin{array}{rcl}
{\tt POLY}(x;a,b,c,\ldots) &=& a + bx + c...
...t POLY}(x,y;a,b,c,\ldots) &=& a + bx + cy + \cdots
\end{array}\end{displaymath}">|; 

$key = q/{figure}centerpicture(120,100)put(0,80)framebox(25,20)put(0,94)makebox(22,6)Pageebox(22,6)(F2)put(95,94)makebox(22,6)HFunctionspicturecenter{figure}FSF=2.6;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="887" HEIGHT="740"
 SRC="img228.gif"
 ALT="\begin{figure}
\begin{center}
\begin{picture}
(120,100)
\put(0,80){\framebox (25...
...}
\put(95,94){\makebox(22,6){H Functions}}
\end{picture}\end{center}\end{figure}">|; 

$key = q/{inline}7}{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img56.gif"
 ALT="$7\}$">|; 

$key = q/{displaymath}J(a)_ij~=partialr^(i)overpartiala_j{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="138" HEIGHT="65"
 SRC="img270.gif"
 ALT="\begin{displaymath}J(a)_{ij}~={\partial {r^{(i)}} \over \partial{a_j}}\end{displaymath}">|; 

$key = q/{inline}{{{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img59.gif"
 ALT="$\{\{$">|; 

$key = q/{inline}chi^2(a){inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="48" ALIGN="MIDDLE" BORDER="0"
 SRC="img272.gif"
 ALT="$\chi^2(a)$">|; 

$key = q/{inline}chi^2(a^(k)+alpha^(k)~d^(k)){inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="187" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="img282.gif"
 ALT="$\chi^2(a^{(k)}+\alpha^{(k)}~d^{(k)})$">|; 

$key = q/{displaymath}a^(k+1)~=~a^(k)~+~gamma~Deltaa^(k){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="39"
 SRC="img275.gif"
 ALT="\begin{displaymath}a^{(k+1)}~=~a^{(k)}~+~\gamma~\Delta a^{(k)}\end{displaymath}">|; 

$key = q/{inline}{{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img95.gif"
 ALT="$\{$">|; 

$key = q/{displaymath}arrayrclttGAUSS(x;a,b,c)&=&aexpleft[-ln2left(2(x-b)overcright)^2rigskipttTRIANG(x;a,b,c)&=&aleft(1-midx-bmidovercright)array{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="708" HEIGHT="745"
 SRC="img302.gif"
 ALT="\begin{displaymath}\begin{array}{rcl}
{\tt GAUSS}(x;a,b,c) &=&
a \exp \left[-...
...=&
a \left( 1 - {\mid x-b \mid \over c} \right)
\end{array}\end{displaymath}">|; 

$key = q/{}fboxttCtrlslashC{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="31" ALIGN="BOTTOM" BORDER="0"
 SRC="img31.gif"
 ALT="\fbox{\tt Ctrl/C}">|; 

$key = q/{}fboxttDelete{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="27" ALIGN="BOTTOM" BORDER="0"
 SRC="img222.gif"
 ALT="\fbox{\tt Delete}">|; 

$key = q/{inline}}{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img94.gif"
 ALT="$\}$">|; 

$key = q/{displaymath}arrayrclttSINC(x;a,b,c)&=&asin(b+cx)slash(b+cx)smallskipttSINCS(x;a,b,c)&=&a,rmsinc^2(b+cx)array{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="97"
 SRC="img301.gif"
 ALT="\begin{displaymath}\begin{array}{rcl}
{\tt SINC}(x;a,b,c) &=& a \sin (b+cx) / (...
...
{\tt SINCS}(x;a,b,c) &=& a \,{\rm sinc}^2(b+cx)
\end{array}\end{displaymath}">|; 

$key = q/{inline}mboxbullet{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="img6.gif"
 ALT="$\mbox{$\bullet$}$">|; 

$key = q/{inline}x=(x_1,ldots,x_n)inrmIkern-.2000emhboxR^n{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="215" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img261.gif"
 ALT="$x = (x_1,\ldots,x_n) \in \rm I\kern-.2000em\hbox{R}^{n}$">|; 

$key = q/{}fboxttTab{}AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="27" ALIGN="BOTTOM" BORDER="0"
 SRC="img220.gif"
 ALT="\fbox{\tt Tab}">|; 

$key = q/{inline}alpha^(k){inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="27" ALIGN="BOTTOM" BORDER="0"
 SRC="img281.gif"
 ALT="$\alpha^{(k)}$">|; 

$key = q/{inline}(y^(i),x^(i))i=1,ldots,m{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="img264.gif"
 ALT="$(y^{(i)},x^{(i)}) i=1,\ldots,m$">|; 

$key = q/{inline}gamma{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="img276.gif"
 ALT="$\gamma$">|; 

$key = q/{displaymath}r^(i)(a)~=~sqrtw^(i)~[~y^(i)~-~y(x^(i),a)~]{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="40"
 SRC="img267.gif"
 ALT="\begin{displaymath}r^{(i)}(a)~=~\sqrt{w^{(i)}}~[~y^{(i)}~-~y (x^{(i)},a)~]\end{displaymath}">|; 

$key = q/{displaymath}B(a)~=~sum_i~r^(i)(a)~H_i(a){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="61"
 SRC="img271.gif"
 ALT="\begin{displaymath}B(a)~=~\sum_i~r^{(i)}(a)~H_i(a)\end{displaymath}">|; 

$key = q/{inline}ainAsubsetrmIkern-.2000emhboxR^p{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="img262.gif"
 ALT="$a \in A \subset \rm I\kern-.2000em\hbox{R}^{p}$">|; 

$key = q/{inline}77}{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img58.gif"
 ALT="$77\}$">|; 

$key = q/{inline}backslash{inline}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="44" ALIGN="MIDDLE" BORDER="0"
 SRC="img254.gif"
 ALT="$\backslash$">|; 

$key = q/{displaymath}chi^2(a^(k))overdegree~of~freedom{displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="187" HEIGHT="63"
 SRC="img293.gif"
 ALT="\begin{displaymath}{ \chi^2(a^{(k)}) \over degree~of~freedom} \end{displaymath}">|; 

$key = q/{displaymath}min_ainA~~chi^2~(a){displaymath}MSF=2;AAT;/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="52"
 SRC="img265.gif"
 ALT="\begin{displaymath}\min_{a\in A}~~\chi^2~(a)\end{displaymath}">|; 

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