# LaTeX2HTML 99.1 release (March 30, 1999)
# Associate images original text with physical files.


$key = q/K^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.gif"
 ALT="$ K^3$">|; 

$key = q/n=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img2.gif"
 ALT="$ n=3$">|; 

$key = q/[f];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img24.gif"
 ALT="$ [f]$">|; 

$key = q/quad2x^2+3y^2+3z^2+2xy-4x+2y-2z+4=0quad;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="416" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img19.gif"
 ALT="$ \quad 2x^2+3y^2+3z^2+2xy-4x+2y-2z+4=0 \quad$">|; 

$key = q/ell:K^nrightarrowK;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img10.gif"
 ALT="$ \ell:K^n\rightarrow K$">|; 

$key = q/{f:K^nrightarrowK};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img8.gif"
 ALT="$ {f:K^n
\rightarrow K}$">|; 

$key = q/mathbb{R},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img4.gif"
 ALT="$ \mathbb {R} \,$">|; 

$key = q/cinK;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img11.gif"
 ALT="$ c\in K $">|; 

$key = q/f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img16.gif"
 ALT="$ f$">|; 

$key = q/g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.gif"
 ALT="$ g$">|; 

$key = q/K;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img7.gif"
 ALT="$ K$">|; 

$key = q/displaystylemathcal{Q}={xinK^nhspace{1mm}|hspace{1mm}f(x)=0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="210" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img15.gif"
 ALT="$\displaystyle \mathcal{Q} = \{ x\in K^n \hspace{1mm} \vert\hspace{1mm} f(x)=0 \}$">|; 

$key = q/g=af;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img23.gif"
 ALT="$ g=af$">|; 

$key = q/displaystylef(x)=q(x)+ell(x)+c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="188" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img12.gif"
 ALT="$\displaystyle f(x)=q(x)+\ell(x)+c $">|; 

$key = q/n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$ n$">|; 

$key = q/,K^n,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img13.gif"
 ALT="$ \,K^n\,$">|; 

$key = q/f:K^3rightarrowK;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img17.gif"
 ALT="$ f:K^3 \rightarrow K$">|; 

$key = q/,mathcal{Q}subseteqK^n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img25.gif"
 ALT="$ \,\mathcal{Q} \subseteq
K^n$">|; 

$key = q/K=mathbb{R},mathbb{C};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img3.gif"
 ALT="$ K = \mathbb {R}, \mathbb {C}$">|; 

$key = q/mathbb{C},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img5.gif"
 ALT="$ \mathbb {C} \,$">|; 

$key = q/displaystylef(x,y,z)=underbrace{2x^2+3y^2+3z^2+2xy}_{mbox{formaquadratica}}underbrace{-4x+2y-2z}_{mbox{formalineare}}+4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="431" HEIGHT="83" ALIGN="MIDDLE" BORDER="0"
 SRC="img18.gif"
 ALT="$\displaystyle f(x,y,z) = \underbrace{2x^2+3y^2+3z^2+2xy}_{\mbox{forma quadratica }}
\underbrace{-4x+2y-2z}_{\mbox{forma lineare}} + 4
$">|; 

$key = q/q:K^nrightarrowK;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img9.gif"
 ALT="$ q:K^n
\rightarrow K$">|; 

$key = q/K^n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="img6.gif"
 ALT="$ K^n$">|; 

$key = q/ainKbackslash{0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img22.gif"
 ALT="$ a \in K\backslash \{0\}$">|; 

$key = q/,mathcal{Q},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img14.gif"
 ALT="$ \,\mathcal{Q}\,$">|; 

1;

