# LaTeX2HTML 2022 (Released January 1, 2022)
# Associate images original text with physical files.
$key = q//;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 4.90ex; " SRC="|."$dir".q|img15.png"
 ALT="\begin{displaymath}\mathcode \lq \- = 32768 %%% just a bodge to improve alignment...
....3)
\SIN (1.4)
\SIN (1.5)
\SIN (1.6)
\noalign {\hrule }}
\end{displaymath}">|; 
$key = q/displaystyleSIN;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img14.png"
 ALT="$\displaystyle \SIN$">|; 
$key = q/displaystylecr;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img13.png"
 ALT="$\displaystyle \cr$">|; 
$key = q/displaystylehalign;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle \halign$">|; 
$key = q/displaystylelet;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.18ex; vertical-align: 174.13ex; " SRC="|."$dir".q|img8.png"
 ALT="$\displaystyle \let$">|; 
$key = q/displaystylemathcode;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.11ex; vertical-align: 174.20ex; " SRC="|."$dir".q|img7.png"
 ALT="$\displaystyle \mathcode$">|; 
$key = q/displaystyleminus;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.10ex; vertical-align: 177.13ex; " SRC="|."$dir".q|img9.png"
 ALT="$\displaystyle \minus$">|; 
$key = q/displaystyleoffinterlineskip;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle \offinterlineskip$">|; 
$key = q/displaystylevbox;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -0.12ex; " SRC="|."$dir".q|img10.png"
 ALT="$\displaystyle \vbox$">|; 
$key = q/displaystyle{x^{2}over2!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.18ex; vertical-align: 172.53ex; " SRC="|."$dir".q|img4.png"
 ALT="$\displaystyle {x^{2} \over 2!}$">|; 
$key = q/displaystyle{x^{3}over3!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 196.25ex; vertical-align: -1.71ex; " SRC="|."$dir".q|img1.png"
 ALT="$\displaystyle {x^{3} \over 3!}$">|; 
$key = q/displaystyle{x^{4}over4!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.18ex; vertical-align: 172.53ex; " SRC="|."$dir".q|img5.png"
 ALT="$\displaystyle {x^{4} \over 4!}$">|; 
$key = q/displaystyle{x^{5}over5!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 2.10ex; vertical-align: 175.54ex; " SRC="|."$dir".q|img2.png"
 ALT="$\displaystyle {x^{5} \over 5!}$">|; 
$key = q/displaystyle{x^{6}over6!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.11ex; vertical-align: 172.60ex; " SRC="|."$dir".q|img6.png"
 ALT="$\displaystyle {x^{6} \over 6!}$">|; 
$key = q/displaystyle{x^{7}over7!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="height: 5.18ex; vertical-align: 172.53ex; " SRC="|."$dir".q|img3.png"
 ALT="$\displaystyle {x^{7} \over 7!}$">|;