# LaTeX2HTML 2K.1beta (1.50)
# Associate images original text with physical files.


$key = q/k^{2r+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$ k^{2r+1}$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.gif"
 ALT="$ c$">|; 

$key = q/10001001101111-e(f2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.gif"
 ALT="$ 10001001101111 - e(f2)$">|; 

$key = q/10111110001001-e(f4);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.gif"
 ALT="$ 10111110001001 - e(f4)$">|; 

$key = q/g;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="$ g$">|; 

$key = q/C1(A)-e-Ebar(A)-e-F(A);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="238" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.gif"
 ALT="$ C1(A)-e-Ebar(A)-e-F(A)$">|; 

$key = q/k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="$ k$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashmove-C--Ebar-F};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="279" HEIGHT="512" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/move-C-Ebar-F}">|; 

$key = q/displaystylep_{g}=(3*mi)+(4*mp);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="$\displaystyle p_{g}=(3*mi)+(4*mp)$">|; 

$key = q/3A-D2-Bbar-F;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="152" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.gif"
 ALT="$ 3A-D2-Bbar-F$">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.gif"
 ALT="$ n$">|; 

$key = q/r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img11.gif"
 ALT="$ r$">|; 

$key = q/cal{K};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$ \cal{K}$">|; 

$key = q/includegraphics[width=1.5in]{imagenesslashF-B};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="157" HEIGHT="360" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.gif"
 ALT="\includegraphics[width=1.5in]{imagenes/F-B}">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.gif"
 ALT="$ t$">|; 

$key = q/u;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="$ u$">|; 

$key = q/mi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="$ mi$">|; 

$key = q/v_{A}=frac{(2*1)-(2*0)}{(3*1)+(4*0)}=frac{2}{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.gif"
 ALT="$ v_{A} = \frac{(2*1)-(2*0)}{(3*1)+(4*0)} = \frac{2}{3}$">|; 

$key = q/includegraphics[width=3in]{imagenesslashBbar-F-B};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="337" HEIGHT="273" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img67.gif"
 ALT="\includegraphics[width=3in]{imagenes/Bbar-F-B}">|; 

$key = q/(k=2,r=1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$ (k=2,r=1)$">|; 

$key = q/displaystyleu_{t}+u_{xxx}+uu_{x}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.gif"
 ALT="$\displaystyle u_{t}+u_{xxx}+uu_{x}=0$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="$ x$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashlista};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="282" HEIGHT="720" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/lista}">|; 

$key = q/};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.gif"
 ALT="$ \}$">|; 

$key = q/mp;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="$ mp$">|; 

$key = q/DOTSBLeftarrowmathrel{mkern-3mu}Rightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$ \DOTSB \Leftarrow \mathrel {\mkern -3mu}\Rightarrow $">|; 

$key = q/r,c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.gif"
 ALT="$ r, c$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashinclinaciones-ether};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="370" HEIGHT="462" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="\includegraphics[width=3.5in]{imagenes/inclinaciones-ether}">|; 

$key = q/alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="$ \alpha$">|; 

$key = q/includegraphics[width=3.6in]{imagenesslashglidersAyB};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="382" HEIGHT="580" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.gif"
 ALT="\includegraphics[width=3.6in]{imagenes/glidersAyB}">|; 

$key = q/varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="$ \varphi$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashmove-C-Ebar};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="279" HEIGHT="410" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/move-C-Ebar}">|; 

$key = q/*e-G(C2)-e-Bbar(C)-e*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="226" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.gif"
 ALT="$ *e-G(C2)-e-Bbar(C)-e*$">|; 

$key = q/*e-A-e*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.gif"
 ALT="$ *e-A-e*$">|; 

$key = q/beta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="$ \beta$">|; 

$key = q/includegraphics[width=2.0in]{imagenesslashtipos-triangulos};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="128" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="\includegraphics[width=2.0in]{imagenes/tipos-triangulos}">|; 

$key = q/n>4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="$ n&gt;4$">|; 

$key = q/2r+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="$ 2r+1$">|; 

$key = q/{cal{K},varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.gif"
 ALT="$ \{ \cal{K}, \varphi$">|; 

$key = q/g_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.gif"
 ALT="$ g_{i}$">|; 

$key = q/cal{K}inmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$ \cal{K} \in \mathbb{Z}^{+}$">|; 

$key = q/_n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.gif"
 ALT="$ _n$">|; 

$key = q/displaystyled_{g}=(2*mi)-(2*mp).;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="177" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="$\displaystyle d_{g}=(2*mi)-(2*mp).$">|; 

$key = q/includegraphics[width=2in]{imagenesslashperiodo-ether};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="219" HEIGHT="105" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.gif"
 ALT="\includegraphics[width=2in]{imagenes/periodo-ether}">|; 

$key = q/(k,r);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$ (k,r)$">|; 

$key = q/100110-A(f3);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.gif"
 ALT="$ 100110 - A(f3)$">|; 

$key = q/c=|(9*0)-(3*2)|=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.gif"
 ALT="$ c = \vert(9 * 0) - (3 * 2)\vert = 6$">|; 

$key = q/C1(A)-e-Ebar(A)-e-Ebar(B);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="262" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.gif"
 ALT="$ C1(A)-e-Ebar(A)-e-Ebar(B)$">|; 

$key = q/101111-A(f4);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.gif"
 ALT="$ 101111 - A(f4)$">|; 

$key = q/v_{B}=frac{(2*0)-(2*1)}{(3*0)+(4*1)}=-frac{2}{4}=-frac{1}{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="204" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.gif"
 ALT="$ v_{B} = \frac{(2*0)-(2*1)}{(3*0)+(4*1)} = -\frac{2}{4} = -\frac{1}{2}$">|; 

$key = q/displaystylecleq|mi*mp|;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.gif"
 ALT="$\displaystyle c \leq \vert mi * mp\vert$">|; 

$key = q/11111000100110-e(f1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="$ 11111000100110 - e(f1)$">|; 

$key = q/Longleftrightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.gif"
 ALT="$ \Longleftrightarrow$">|; 

$key = q/10011011111000-e(f3);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="$ 10011011111000 - e(f3)$">|; 

$key = q/ninmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="$ n \in \mathbb{Z}^{+}$">|; 

$key = q/displaystylev_{g}=frac{(2*mi)-(2*mp)}{(3*mi)+(4*mp)}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.gif"
 ALT="$\displaystyle v_{g} = \frac{(2*mi)-(2*mp)}{(3*mi)+(4*mp)}.$">|; 

$key = q/g_{j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.gif"
 ALT="$ g_{j}$">|; 

$key = q/rightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$ \rightarrow $">|; 

$key = q/F(A2)-e-B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.gif"
 ALT="$ F(A2)-e-B$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashmanakov};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="202" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/manakov}">|; 

$key = q/displaystylec=|(mp_{g_{i}}*mi_{g_{j}})-(mp_{g_{j}}*mi_{g_{i}})|.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.gif"
 ALT="$\displaystyle c = \vert(mp_{g_{i}} * mi_{g_{j}}) - (mp_{g_{j}} * mi_{g_{i}})\vert.$">|; 

$key = q/includegraphics[width=2in]{imagenesslashfases-ether};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="215" HEIGHT="121" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="\includegraphics[width=2in]{imagenes/fases-ether}">|; 

$key = q/includegraphics[width=3in]{imagenesslashBbar-F-B-2};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="668" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img68.gif"
 ALT="\includegraphics[width=3in]{imagenes/Bbar-F-B-2}">|; 

$key = q/includegraphics[width=1.4in]{imagenesslashgliderA};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="153" HEIGHT="108" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.gif"
 ALT="\includegraphics[width=1.4in]{imagenes/gliderA}">|; 

$key = q/leftarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.gif"
 ALT="$ \leftarrow $">|; 

$key = q/*e*;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="$ *e*$">|; 

$key = q/100011-A(f2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.gif"
 ALT="$ 100011 - A(f2)$">|; 

$key = q/111110-A(f1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.gif"
 ALT="$ 111110 - A(f1)$">|; 

1;

