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# LaTeX2HTML 96.1-h (September 30, 1996)# Associate images original text with physical files.$key = q/{displaymath}K(x,y)=xcdoty{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=300 HEIGHT=16 ALIGN=BOTTOM ALT="displaymath628" SRC="img6.gif">|; $key = q/{displaymath}K(x,y)=((xcdoty)+1)^d{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=330 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath630" SRC="img7.gif">|; $key = q/{displaymath}exp(-gamma|x-y|^2){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=305 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath644" SRC="img11.gif">|; $key = q/{_inline}$sigma${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=9 HEIGHT=7 ALIGN=BOTTOM ALT="tex2html_wrap_inline678" SRC="img19.gif">|; $key = q/{_inline}$s=fracub-lbmax(N)-min(N)${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=127 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline710" SRC="img25.gif">|; $key = q/{displaymath}big(fracxcdotya+bbig)^d{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=289 HEIGHT=29 ALIGN=BOTTOM ALT="displaymath658" SRC="img16.gif">|; $key = q/{_inline}$fracn(n-1)2${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=42 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline572" SRC="img5.gif">|; $key = q/{_inline}$epsilon${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=6 HEIGHT=7 ALIGN=BOTTOM ALT="tex2html_wrap_inline518" SRC="img1.gif">|; $key = q/{displaymath}K(x,y)=(sum_k=1^nexp(-gamma(x^k-y^k)^2))^d{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=374 HEIGHT=44 ALIGN=BOTTOM ALT="displaymath688" SRC="img21.gif">|; $key = q/{_inline}$t=fraclbs-min(N)${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=112 HEIGHT=28 ALIGN=MIDDLE ALT="tex2html_wrap_inline712" SRC="img26.gif">|; $key = q/{_inline}$f(x_1,x_2)=2timesx_1+x_2${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=160 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline694" SRC="img22.gif">|; $key = q/{displaymath}frac1-gamma^22(1-2gammacos(x_i-x_j)+gamma^2){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=343 HEIGHT=41 ALIGN=BOTTOM ALT="displaymath680" SRC="img20.gif">|; $key = q/{_inline}$geq4000${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=48 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline556" SRC="img4.gif">|; $key = q/{_inline}$min(N)${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=52 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline708" SRC="img24.gif">|; $key = q/{_inline}$gamma${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=9 HEIGHT=16 ALIGN=MIDDLE ALT="tex2html_wrap_inline646" SRC="img12.gif">|; $key = q/{displaymath}tanh(fracb(xcdoty)1-c){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=311 HEIGHT=34 ALIGN=BOTTOM ALT="displaymath648" SRC="img13.gif">|; $key = q/{displaymath}1+x_ix_j+x_ix_jmin(x_i,x_j)-fracx_i+x_j2(min(x_ix_j))^2+frac(min(x_i,x_j))^33{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=482 HEIGHT=37 ALIGN=BOTTOM ALT="displaymath654" SRC="img14.gif">|; $key = q/{_inline}$K(x,y)=prod_k=1^nK_k(x^k,y^k)${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=187 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline656" SRC="img15.gif">|; $key = q/{displaymath}K(x,y)=frac1-(xcdoty)^d1-(xcdoty){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=326 HEIGHT=39 ALIGN=BOTTOM ALT="displaymath634" SRC="img8.gif">|; $key = q/{displaymath}fracpi2gammafraccoshfracpi-|x_i-x_j|gammasinhfracpigamma{displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=309 HEIGHT=49 ALIGN=BOTTOM ALT="displaymath666" SRC="img17.gif">|; $key = q/{_inline}$x_s=(x+t)timess${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=111 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline716" SRC="img27.gif">|; $key = q/{_inline}$0leq|x_i-x_j|leq2pi${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=126 HEIGHT=25 ALIGN=MIDDLE ALT="tex2html_wrap_inline548" SRC="img3.gif">|; $key = q/{_inline}$max(N)${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=56 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline706" SRC="img23.gif">|; $key = q/{_inline}$-1;SPMlt;(xcdoty);SPMlt;1${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=110 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline638" SRC="img9.gif">|; $key = q/{displaymath}[(x_icdotx_j)+1]^dexp(-||x_i-x_j||^2sigma^2){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=369 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath674" SRC="img18.gif">|; $key = q/{displaymath}K(x,y)=frac11-(xcdoty){displaymath}/;$cached_env_img{$key} = q|<IMG WIDTH=322 HEIGHT=36 ALIGN=BOTTOM ALT="displaymath640" SRC="img10.gif">|; $key = q/{_inline}$C=infty${_inline}/;$cached_env_img{$key} = q|<IMG WIDTH=48 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline536" SRC="img2.gif">|; 1;
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