# LaTeX2HTML 2019.2 (Released June 5, 2019)
# Associate images original text with physical files.


$key = q/C_{ij}=C_{ji};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.42ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img31.svg"
 ALT="$C_{ij}= C_{ji}$">|; 

$key = q/Deltax;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.77ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img69.svg"
 ALT="$\Delta x$">|; 

$key = q/Deltax=0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.77ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img77.svg"
 ALT="$\Delta x= 0.5$">|; 

$key = q/a;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img100.svg"
 ALT="$a$">|; 

$key = q/displaystyle({stensorC}_m{stensorF}^intercal)({stensorF}{stensorC}_m{stensorF}^intercal)^{-1}{svectord};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img131.svg"
 ALT="$\displaystyle ({\stensor C}_m{\stensor F}^\intercal ) ( {\stensor F}{\stensor C}_m{\stensor F}^\intercal )^{-1} {\svector d}$">|; 

$key = q/displaystyle({stensorF}^intercal{stensorC}_n^{-1}{stensorF}+{stensorC}_m^{-1})^{-1}{stensorF}^intercal{stensorC}_n^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img117.svg"
 ALT="$\displaystyle ( {\stensor F}^\intercal {\stensor C}_n^{-1}{\stensor F}+ {\stensor C}_m^{-1}) ^ {-1} {\stensor F}^\intercal {\stensor C}_n^{-1}$">|; 

$key = q/displaystyle({stensorF}^intercal{stensorC}_n^{-1}{stensorF}+{stensorC}_m^{-1})^{-1}{stensorF}^intercal{stensorC}_n^{-1}{svectord};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img115.svg"
 ALT="$\displaystyle ( {\stensor F}^\intercal {\stensor C}_n^{-1}{\stensor F}+ {\stensor C}_m^{-1}) ^ {-1} {\stensor F}^\intercal {\stensor C}_n^{-1}{\svector d};$">|; 

$key = q/displaystyle({stensorF}^intercal{stensorC}_n^{-1}{stensorF}+{stensorC}_m^{-1}){stensorC}_m{stensorF}^intercal;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img120.svg"
 ALT="$\displaystyle ( {\stensor F}^\intercal {\stensor C}_n^{-1}{\stensor F}+ {\stensor C}_m^{-1}) {\stensor C}_m{\stensor F}^\intercal$">|; 

$key = q/displaystyle({stensorF}{stensorC}_m)^{intercal}{stensorC}_d^{-1}{svectord};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.72ex; " SRC="|."$dir".q|img132.svg"
 ALT="$\displaystyle ({\stensor F}{\stensor C}_m)^{\intercal} {\stensor C}_d^{-1}{\svector d}$">|; 

$key = q/displaystyle-{stensorF}^intercal{stensorC}_n^{-1}({svectord}-{stensorF}hat{{svectorm}})+{stensorC}_m^{-1}hat{{svectorm}}=0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img113.svg"
 ALT="$\displaystyle - {\stensor F}^\intercal {\stensor C}_n^{-1}( {\svector d}- {\stensor F}\hat{{\svector m}}) + {\stensor C}_m^{-1}\hat{{\svector m}}= 0 ;$">|; 

$key = q/displaystyle0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.13ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img127.svg"
 ALT="$\displaystyle 0 ;$">|; 

$key = q/displaystyle1-exp(-3|{svectorh}|slasha),~~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img97.svg"
 ALT="$\displaystyle 1 - \exp( - 3 \Vert {\svector h}\Vert / a),&nbsp;&nbsp;$">|; 

$key = q/displaystyle=;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.03ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img11.svg"
 ALT="$\displaystyle =$">|; 

$key = q/displaystyleC({svector0});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img93.svg"
 ALT="$\displaystyle C({\svector 0})$">|; 

$key = q/displaystyleC({svectorinfty});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img91.svg"
 ALT="$\displaystyle C( {\svector \infty})$">|; 

$key = q/displaystyleC_{exp}({svectorh});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img98.svg"
 ALT="$\displaystyle C_{\exp} ({\svector h})$">|; 

$key = q/displaystyleC_{ij};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.42ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img26.svg"
 ALT="$\displaystyle C_{ij}$">|; 

$key = q/displaystyleC_{ij}equivE[v_iv_j]equivE[v({svectorx}_i)v({svectorx}_j)]equivC({svectorx}_i-{svectorx}_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img52.svg"
 ALT="$\displaystyle C_{ij}\equiv
E [v_i v_j ] \equiv
E [v ({\svector x}_i) v({\svector x}_j) ] \equiv C ( {\svector x}_i - {\svector x}_j )$">|; 

$key = q/displaystyleE(v_0v_0)-2sum_{i=1}^nE(v_iv_0)w_i+sum_{i=1}^nsum_{j=1}^nE(v_iv_j)w_iw_j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 7.19ex; vertical-align: -3.32ex; " SRC="|."$dir".q|img41.svg"
 ALT="$\displaystyle E(v_0v_0) - 2 \sum_{i=1}^nE ( v_iv_0) w_i+ \sum_{i=1}^n\sum_{j=1}^nE (v_iv_j) w_iw_j$">|; 

$key = q/displaystyleE(v_0v_i),~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img34.svg"
 ALT="$\displaystyle E (v_0 v_i ) ,&nbsp;$">|; 

$key = q/displaystyleE(v_0{svectorv}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img37.svg"
 ALT="$\displaystyle E (v_0 {\svector v}).$">|; 

$key = q/displaystyleE(v_i)equiv0,~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img21.svg"
 ALT="$\displaystyle E (v_i) \equiv 0,&nbsp;$">|; 

$key = q/displaystyleE(v_iv_j),~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img27.svg"
 ALT="$\displaystyle E (v_i v_j ),&nbsp;$">|; 

$key = q/displaystyleE({svectorv}{svectorv}^intercal).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img30.svg"
 ALT="$\displaystyle E ({\svector v}{\svector v}^\intercal ).$">|; 

$key = q/displaystyleE[(v_0-sum_{i=1}^nw_iv_i)^2];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img40.svg"
 ALT="$\displaystyle E [ ( v_0- \sum_{i=1}^nw_iv_i)^2 ]$">|; 

$key = q/displaystyleRightarrow;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.04ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img44.svg"
 ALT="$\displaystyle \Rightarrow$">|; 

$key = q/displaystyleRightarrow~~C({svectorh});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img94.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; C ({\svector h})$">|; 

$key = q/displaystyleRightarrow~~gamma({svectorinfty});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img92.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; \gamma( {\svector \infty})$">|; 

$key = q/displaystyleRightarrow~~hat{{svectorm}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.83ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img114.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; \hat{{\svector m}}$">|; 

$key = q/displaystyleRightarrow~~sigma_v^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img62.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; \sigma_v^2$">|; 

$key = q/displaystyleRightarrow~~stensorC;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img65.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; \stensor C$">|; 

$key = q/displaystyleRightarrow~~{stensorC}_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img128.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; {\stensor C}_d$">|; 

$key = q/displaystyleRightarrow~~{stensorF}^intercal{stensorC}_n^{-1}({stensorF}{stensorC}_m{stensorF}^intercal+{stensorC}_n);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img119.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; {\stensor F}^\intercal {\stensor C}_n^{-1}( {\stensor F}{\stensor C}_m{\stensor F}^\intercal + {\stensor C}_n)$">|; 

$key = q/displaystyleRightarrow~~{svectorw};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img67.svg"
 ALT="$\displaystyle \Rightarrow&nbsp;&nbsp; {\svector w}$">|; 

$key = q/displaystyleS({svectorm})=({svectord}-{stensorF}{svectorm})^{intercal}{stensorC}{svectorm})+{svectorm}^{intercal}{stensorC}_m^{-1}{svectorm}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img106.svg"
 ALT="$\displaystyle S ({\svector m}) = ({\svector d}- {\stensor F}{\svector m})^{\int...
...sor F}{\svector m}) + {\svector m}^{\intercal} {\stensor C}_m^{-1}{\svector m}.$">|; 

$key = q/displaystyle[w_1,w_2,...,w_n],~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img18.svg"
 ALT="$\displaystyle [w_1, w_2,..., w_n],&nbsp;$">|; 

$key = q/displaystyleapprox;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.31ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img63.svg"
 ALT="$\displaystyle \approx$">|; 

$key = q/displaystylec_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img33.svg"
 ALT="$\displaystyle c_i$">|; 

$key = q/displaystyleequiv;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.27ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img17.svg"
 ALT="$\displaystyle \equiv$">|; 

$key = q/displaystyleexp(-3|{svectorh}|slasha).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img99.svg"
 ALT="$\displaystyle \exp( - 3 \Vert {\svector h}\Vert / a).$">|; 

$key = q/displaystylefrac{1}{2}E{[v({svectorx}_i)-v({svectorx}_j)]^2}=sigma_v^2-C_{ij}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.84ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img83.svg"
 ALT="$\displaystyle \frac{1}{2} E \{ [v ({\svector x}_i) - v({\svector x}_j) ]^2 \} = \sigma_v^2- C_{ij}.$">|; 

$key = q/displaystylefrac{partialS}{partial{svectorm}^{intercal}}(hat{{svectorm}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.95ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img112.svg"
 ALT="$\displaystyle \frac{\partial S}{\partial {\svector m}^{\intercal}} (\hat{{\svector m}})$">|; 

$key = q/displaystylegamma({svectorh})=C({svector0})-C({svectorh}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img90.svg"
 ALT="$\displaystyle \gamma ({\svector h}) = C ({\svector 0} ) - C ({\svector h}).$">|; 

$key = q/displaystylegamma({svectorinfty})-gamma({svectorh}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img95.svg"
 ALT="$\displaystyle \gamma ({\svector \infty}) - \gamma({\svector h}).$">|; 

$key = q/displaystylegamma_v({svectorh}_{ij});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img88.svg"
 ALT="$\displaystyle \gamma_v ({\svector h}_{ij})$">|; 

$key = q/displaystylegamma_v({svectorx}_i,{svectorx}_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img82.svg"
 ALT="$\displaystyle \gamma_v ({\svector x}_i, {\svector x}_j)$">|; 

$key = q/displaystylegamma_v({svectorx}_i-{svectorx}_j)=sigma_v^2-C({svectorx}_i-{svectorx}_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img84.svg"
 ALT="$\displaystyle \gamma_v ({\svector x}_i- {\svector x}_j) = \sigma_v^2- C( {\svector x}_i - {\svector x}_j )$">|; 

$key = q/displaystylegamma_{exp}({svectorh});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img96.svg"
 ALT="$\displaystyle \gamma_{\exp} ({\svector h})$">|; 

$key = q/displaystylehat{{svectorm}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.83ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img130.svg"
 ALT="$\displaystyle \hat{{\svector m}}$">|; 

$key = q/displaystyleinfty;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img64.svg"
 ALT="$\displaystyle \infty$">|; 

$key = q/displaystylembox{for}~i{=}1,n,~mbox{or};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.25ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img35.svg"
 ALT="$\displaystyle \mbox {for}&nbsp; i{=}1,n,&nbsp;\mbox{or}$">|; 

$key = q/displaystylembox{for}~i{=}1,n~mbox{and}~j{=}1,n,~mbox{or};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.25ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img28.svg"
 ALT="$\displaystyle \mbox {for}&nbsp; i{=}1,n&nbsp;\mbox{and}&nbsp; j{=}1,n,&nbsp;\mbox{or}$">|; 

$key = q/displaystylemin(Deltax^{-2},|{svectorx}_i-{svectorx}_j|^{-2}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img70.svg"
 ALT="$\displaystyle \min(\Delta x^{-2}, \Vert{\svector x}_i- {\svector x}_j\Vert ^{-2} ) .$">|; 

$key = q/displaystylepropto;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img60.svg"
 ALT="$\displaystyle \propto$">|; 

$key = q/displaystylesigma_E^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img39.svg"
 ALT="$\displaystyle \sigma_E^2$">|; 

$key = q/displaystylesigma_v^2-2sum_{i=1}^nc_iw_i+sum_{i=1}^nc_iw_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img49.svg"
 ALT="$\displaystyle \sigma_v^2- 2 \sum_{i=1}^nc_iw_i+ \sum_{i=1}^nc_iw_i$">|; 

$key = q/displaystylesigma_v^2-2sum_{i=1}^nc_iw_i+sum_{i=1}^nsum_{j=1}^nC_{ij}w_iw_j.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 7.19ex; vertical-align: -3.32ex; " SRC="|."$dir".q|img42.svg"
 ALT="$\displaystyle \sigma_v^2- 2 \sum_{i=1}^nc_iw_i+ \sum_{i=1}^n\sum_{j=1}^nC_{ij}w_iw_j.$">|; 

$key = q/displaystylesigma_v^2-C({svectorh}_{ij}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img89.svg"
 ALT="$\displaystyle \sigma_v^2- C( {\svector h}_{ij}).$">|; 

$key = q/displaystylesigma_v^2-sum_{i=1}^nc_iw_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img50.svg"
 ALT="$\displaystyle \sigma_v^2- \sum_{i=1}^nc_iw_i$">|; 

$key = q/displaystylesigma_v^2-svectorc^intercalcdot{svectorw}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img51.svg"
 ALT="$\displaystyle \sigma_v^2- \svector c^\intercal \cdot {\svector w}.$">|; 

$key = q/displaystylesigma_v^2equivE(v_iv_i),~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img24.svg"
 ALT="$\displaystyle \sigma_v^2\equiv E (v_iv_i),&nbsp;$">|; 

$key = q/displaystylestensorC({svectorx}_i-{svectorx}_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.58ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img59.svg"
 ALT="$\displaystyle \stensor C({\svector x}_i- {\svector x}_j)$">|; 

$key = q/displaystylestensorC;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img29.svg"
 ALT="$\displaystyle \stensor C$">|; 

$key = q/displaystylestensorCcdot{svectorw}=svectorc;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img46.svg"
 ALT="$\displaystyle \stensor C\cdot {\svector w}= \svector c$">|; 

$key = q/displaystylestensorI;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img66.svg"
 ALT="$\displaystyle \stensor I$">|; 

$key = q/displaystylestensorW^{intercal}{svectord};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.28ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img133.svg"
 ALT="$\displaystyle \stensor W^{\intercal}{\svector d};$">|; 

$key = q/displaystylesum_{i=1}^nw_icdotv({svectorx}_i),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img12.svg"
 ALT="$\displaystyle \sum_{i=1}^nw_i\cdot v({\svector x}_i),$">|; 

$key = q/displaystylesum_{i=1}^nw_icdotv({svectorx}_i)~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img56.svg"
 ALT="$\displaystyle \sum_{i=1}^nw_i\cdot v({\svector x}_i)&nbsp;$">|; 

$key = q/displaystylesum_{i=1}^nw_iv_i,~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.89ex; vertical-align: -3.02ex; " SRC="|."$dir".q|img14.svg"
 ALT="$\displaystyle \sum_{i=1}^nw_iv_i,&nbsp;$">|; 

$key = q/displaystylesum_{j=1}^nC_{ij}w_j=c_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 7.19ex; vertical-align: -3.32ex; " SRC="|."$dir".q|img45.svg"
 ALT="$\displaystyle \sum_{j=1}^nC_{ij}w_j= c_i$">|; 

$key = q/displaystylesvectorc.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img68.svg"
 ALT="$\displaystyle \svector c.$">|; 

$key = q/displaystylesvectorc;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img36.svg"
 ALT="$\displaystyle \svector c$">|; 

$key = q/displaystylev({svectorx}_0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img10.svg"
 ALT="$\displaystyle v({\svector x}_0)$">|; 

$key = q/displaystylev_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img13.svg"
 ALT="$\displaystyle v_0$">|; 

$key = q/displaystylev_iequivv({svectorx}_i)~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img5.svg"
 ALT="$\displaystyle v_i\equiv v({\svector x}_i)&nbsp;$">|; 

$key = q/displaystylew_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img57.svg"
 ALT="$\displaystyle w_i$">|; 

$key = q/displaystyle{frac{partialsigma_E^2}{partialw_i}}=-2c_i+2sum_{j=1}^nC_{ij}w_j=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 7.19ex; vertical-align: -3.32ex; " SRC="|."$dir".q|img43.svg"
 ALT="$\displaystyle {\frac{\partial \sigma_E^2}{\partial w_i}} = - 2 c_i+ 2 \sum_{j=1}^nC_{ij}w_j= 0$">|; 

$key = q/displaystyle{stensorC}_d={stensorF}{stensorC}_m{stensorF}^intercal+{stensorC}_n.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.38ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img110.svg"
 ALT="$\displaystyle {\stensor C}_d= {\stensor F}{\stensor C}_m{\stensor F}^\intercal + {\stensor C}_n.$">|; 

$key = q/displaystyle{stensorC}_d^{-1}({stensorF}{stensorC}_m);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.72ex; " SRC="|."$dir".q|img135.svg"
 ALT="$\displaystyle {\stensor C}_d^{-1}({\stensor F}{\stensor C}_m)$">|; 

$key = q/displaystyle{stensorC}_m{stensorF}^intercal({stensorF}{stensorC}_m{stensorF}^int=~{stensorC}_m{stensorF}^intercal{stensorC}_d^{-1}{svectord}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.72ex; " SRC="|."$dir".q|img116.svg"
 ALT="$\displaystyle {\stensor C}_m{\stensor F}^\intercal ( {\stensor F}{\stensor C}_m...
...tor d}&nbsp;=&nbsp; {\stensor C}_m{\stensor F}^\intercal {\stensor C}_d^{-1}{\svector d}.$">|; 

$key = q/displaystyle{stensorC}_m{stensorF}^intercal({stensorF}{stensorC}_m{stensorF}^intercal+{stensorC}_n)^{-1};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.72ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img118.svg"
 ALT="$\displaystyle {\stensor C}_m{\stensor F}^\intercal ( {\stensor F}{\stensor C}_m{\stensor F}^\intercal + {\stensor C}_n)^{-1} ;$">|; 

$key = q/displaystyle{stensorF}^intercal{stensorC}_n^{-1}{stensorF}{stensorC}_m{stensorF}^intercal+{stensorF}^intercal.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.74ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img121.svg"
 ALT="$\displaystyle {\stensor F}^\intercal {\stensor C}_n^{-1}{\stensor F}{\stensor C}_m{\stensor F}^\intercal + {\stensor F}^\intercal .$">|; 

$key = q/displaystyle{stensorF}{stensorC}_m{stensorF}^intercal;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.38ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img129.svg"
 ALT="$\displaystyle {\stensor F}{\stensor C}_m{\stensor F}^\intercal$">|; 

$key = q/displaystyle{svectord}={stensorF}{svectorm}+{svectorn}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.25ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img105.svg"
 ALT="$\displaystyle {\svector d}= {\stensor F}{\svector m}+ {\svector n}.$">|; 

$key = q/displaystyle{svectorh}_{ij};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.45ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img86.svg"
 ALT="$\displaystyle {\svector h}_{ij}$">|; 

$key = q/displaystyle{svectorw}=stensorC^{-1}cdotsvectorc.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.61ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img47.svg"
 ALT="$\displaystyle {\svector w}= \stensor C^{-1}\cdot \svector c.$">|; 

$key = q/displaystyle{svectorx}_i-{svectorx}_j;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.19ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img87.svg"
 ALT="$\displaystyle {\svector x}_i- {\svector x}_j;$">|; 

$key = q/displaystyle{{svectorw}^intercal}cdot{svectorv},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.26ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img15.svg"
 ALT="$\displaystyle {{\svector w}^\intercal}\cdot {\svector v},$">|; 

$key = q/displaystyle|{svectorx}_i-{svectorx}_0|^{-2}slashsum_{j=1}^n|{svectorx}_j-{svectorx}_0|^{-2}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 7.19ex; vertical-align: -3.32ex; " SRC="|."$dir".q|img58.svg"
 ALT="$\displaystyle \Vert{\svector x}_i- {\svector x}_0\Vert^{-2} / \sum_{j=1}^n\Vert{\svector x}_j- {\svector x}_0\Vert^{-2} .$">|; 

$key = q/displaystyle|{svectorx}_i-{svectorx}_j|^{-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.79ex; vertical-align: -0.75ex; " SRC="|."$dir".q|img61.svg"
 ALT="$\displaystyle \Vert{\svector x}_i- {\svector x}_j\Vert^{-2}$">|; 

$key = q/displaystyle~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 0.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img53.svg"
 ALT="$\displaystyle&nbsp;$">|; 

$key = q/displaystyle~i{=}0,n.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.16ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img22.svg"
 ALT="$\displaystyle&nbsp; i{=}0,n.$">|; 

$key = q/displaystyle~i{=}0,n~;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.16ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img54.svg"
 ALT="$\displaystyle&nbsp; i{=}0,n&nbsp;$">|; 

$key = q/displaystyle~i{=}1,n.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.16ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img6.svg"
 ALT="$\displaystyle&nbsp; i{=}1,n.$">|; 

$key = q/displaystyle~j{=}0,n.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.16ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img55.svg"
 ALT="$\displaystyle&nbsp; j{=}0,n.$">|; 

$key = q/displaystyle~{svectorv}equiv[v_1,v_2,...,v_n]^intercal.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img19.svg"
 ALT="$\displaystyle&nbsp;
{\svector v}\equiv [v_1, v_2,..., v_n]^\intercal .$">|; 

$key = q/displaystyle~{{svectorw}^intercal};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.81ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img16.svg"
 ALT="$\displaystyle&nbsp;
{{\svector w}^\intercal}$">|; 

$key = q/displaystyle~~stensorW;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img134.svg"
 ALT="$\displaystyle&nbsp;&nbsp; \stensor W$">|; 

$key = q/displaystyle~~{stensorC}_n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img126.svg"
 ALT="$\displaystyle&nbsp;&nbsp;
{\stensor C}_n$">|; 

$key = q/hat{{svectorm}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.83ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img111.svg"
 ALT="$\hat{{\svector m}}$">|; 

$key = q/hat{{svectorm}}rightarrow{stensorF}^intercal{svectord};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.28ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img125.svg"
 ALT="$\hat{{\svector m}}\rightarrow {\stensor F}^\intercal {\svector d}$">|; 

$key = q/n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img4.svg"
 ALT="$n$">|; 

$key = q/sigma_E^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.61ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img38.svg"
 ALT="$\sigma_E^2$">|; 

$key = q/sigma_v^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.60ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img23.svg"
 ALT="$\sigma_v^2$">|; 

$key = q/stensorC;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img25.svg"
 ALT="$\stensor C$">|; 

$key = q/stensorC^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.61ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img48.svg"
 ALT="$\stensor C^{-1}$">|; 

$key = q/svectorc;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img32.svg"
 ALT="$\svector c$">|; 

$key = q/v({svectorx});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img1.svg"
 ALT="$v ({\svector x}) $">|; 

$key = q/v_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img7.svg"
 ALT="$v_0$">|; 

$key = q/v_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img73.svg"
 ALT="$v_1$">|; 

$key = q/v_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.54ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img72.svg"
 ALT="$v_2$">|; 

$key = q/x;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.19ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img71.svg"
 ALT="$x$">|; 

$key = q/{stensorC}_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img109.svg"
 ALT="${\stensor C}_d$">|; 

$key = q/{stensorC}_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img107.svg"
 ALT="${\stensor C}_m$">|; 

$key = q/{stensorC}_n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img108.svg"
 ALT="${\stensor C}_n$">|; 

$key = q/{stensorC}_n=epsilonstensorI;epsilonrightarrow0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.33ex; vertical-align: -0.64ex; " SRC="|."$dir".q|img124.svg"
 ALT="${\stensor C}_n= \epsilon \stensor I; \epsilon \rightarrow 0$">|; 

$key = q/{stensorF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.23ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img103.svg"
 ALT="${\stensor F}$">|; 

$key = q/{stensorF}^intercal;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.28ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img122.svg"
 ALT="${\stensor F}^\intercal $">|; 

$key = q/{stensorF}{stensorF}^intercal=stensorI;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.28ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img123.svg"
 ALT="${\stensor F}{\stensor F}^\intercal = \stensor I$">|; 

$key = q/{svectord};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.80ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img102.svg"
 ALT="${\svector d}$">|; 

$key = q/{svectorh};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.80ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img85.svg"
 ALT="${\svector h}$">|; 

$key = q/{svectorm};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img101.svg"
 ALT="${\svector m}$">|; 

$key = q/{svectorn};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img104.svg"
 ALT="${\svector n}$">|; 

$key = q/{svectorw};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img20.svg"
 ALT="${\svector w}$">|; 

$key = q/{svectorx};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.22ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img2.svg"
 ALT="${\svector x}$">|; 

$key = q/{svectorx}_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.57ex; vertical-align: -0.45ex; " SRC="|."$dir".q|img8.svg"
 ALT="${\svector x}_0$">|; 

$key = q/{v_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img3.svg"
 ALT="$\{ v_i\}$">|; 

$key = q/{{svectorw}^intercal}=[0.8,0.2];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img76.svg"
 ALT="${{\svector w}^\intercal}= [ 0.8 , 0.2 ]$">|; 

$key = q/{{svectorw}^intercal}=[0.82,0.18];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img79.svg"
 ALT="${{\svector w}^\intercal}= [ 0.82 , 0.18 ]$">|; 

$key = q/{{svectorw}^intercal}=[1,0];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img81.svg"
 ALT="${{\svector w}^\intercal}= [ 1 ,0 ]$">|; 

$key = q/{{svectorx}_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img9.svg"
 ALT="$\{{\svector x}_i\}$">|; 

$key = q/|x_1-x_0|=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img74.svg"
 ALT="$\Vert x_1- x_0\Vert = 1$">|; 

$key = q/|x_2-x_0|=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img75.svg"
 ALT="$\Vert x_2- x_0\Vert = 2$">|; 

$key = q/|x_2-x_1|=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img80.svg"
 ALT="$\Vert x_2 - x_1\Vert = 1$">|; 

$key = q/|x_2-x_1|=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.51ex; vertical-align: -0.68ex; " SRC="|."$dir".q|img78.svg"
 ALT="$\Vert x_2 - x_1\Vert = 3$">|; 

1;

