# LaTeX2HTML 0.5.3 (Wed Jan 26 1994)
# Associate image original text (scrambled) with physical files.

$key = q/{}$S_<<208>>c<<208>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap981.xbm">'; 
$key = q/{}$DeltaE(mbox<<485>>$i^<<484>>prime<<484>>$~<<485>>,mbox<<486>>$j$~<<486>>);html_special_mark_gt;0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap951.xbm">'; 
$key = q/{}$DeltaE(mbox<<481>>$i$~<<481>>,mbox<<483>>$j^<<482>>prime<<482>>$~<<483>>);html_special_mark_gt;0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap949.xbm">'; 
$key = q/{}$P_<<150>>ij<<150>>^<<151>>prime<<151>>geq4.5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap723.xbm">'; 
$key = q/{}$X${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1181.xbm">'; 
$key = q/{}$5.0%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap961.xbm">'; 
$key = q/{}$alpha${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap829.xbm">'; 
$key = q/{}$%Igeq20${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1141.xbm">'; 
$key = q/{}$<<414>>rmC<<414>>_<<415>>alpha<<415>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap665.xbm">'; 
$key = q/{}$99.6%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1041.xbm">'; 
$key = q/{}$150${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap577.xbm">'; 
$key = q/{}$5leqX;html_special_mark_lt;25%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap999.xbm">'; 
$key = q/{}$P${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap871.xbm">'; 
$key = q/{}$2.7${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1765.xbm">'; 
$key = q/{}$<<523>>rmC<<523>>_<<524>>alpha<<524>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1203.xbm">'; 
$key = q/{}$50%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap661.xbm">'; 
$key = q/{}$67.0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1039.xbm">'; 
$key = q/{}L{}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1223.xbm">'; 
$key = q/{}$beta${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap825.xbm">'; 
$key = q/{}$Xgeq25%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1001.xbm">'; 
$key = q/{}$i^<<519>>prime<<519>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1189.xbm">'; 
$key = q/{}$E^<<187>>o<<187>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap879.xbm">'; 
$key = q/{}$N_<<176>>o<<176>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap853.xbm">'; 
$key = q/{}$1.9${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap983.xbm">'; 
$key = q/{}$20%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1087.xbm">'; 
$key = q/{}$<<396>>rmC<<396>>_<<397>>alpha<<397>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap557.xbm">'; 
$key = q/{}$leq8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1213.xbm">'; 
$key = q/{}$0leqX;html_special_mark_lt;5%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap997.xbm">'; 
$key = q/{}$DeltaE(mbox<<469>>$i$~<<469>>,mbox<<471>>$j^<<470>>prime<<470>>$~<<471>>)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap941.xbm">'; 
$key = q/{}$B${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap703.xbm">'; 
$key = q/{}$j^<<521>>prime<<521>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1191.xbm">'; 
$key = q/{}$DeltaE(mbox<<475>>$i$~<<475>>,mbox<<477>>$j^<<476>>prime<<476>>$~<<477>>)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap945.xbm">'; 
$key = q/{}$60.0%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1009.xbm">'; 
$key = q/{}$j^<<425>>prime<<425>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap901.xbm">'; 
$key = q/{}$7.5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap985.xbm">'; 
$key = q/{}$178${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap745.xbm">'; 
$key = q/{}$N(P,x)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap867.xbm">'; 
$key = q/{}$DeltaE(mbox<<442>>$i^<<441>>prime<<441>>$~<<442>>,mbox<<444>>$j^<<443>>prime<<443>>$~<<444>>)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap923.xbm">'; 
$key = q/{}$N_<<177>>e<<177>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap859.xbm">'; 
$key = q/{}$beta_<<1593>>4<<1593>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1779.xbm">'; 
$key = q/{}$17.1%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap957.xbm">'; 
$key = q/{}$8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1085.xbm">'; 
$key = q/{}$%I=0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap805.xbm">'; 
$key = q/{}$;html_special_mark_gt;40%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1005.xbm">'; 
$key = q/{}$(i,j)rightarrow(i,mbox<<454>>$j^<<453>>prime<<453>>$~<<454>>)rightarrow(mbox<<456>>$i^<<455>>prime<<455>>$~<<456>>,mbox<<458>>$j^<<457>>prime<<457>>$~<<458>>)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap933.xbm">'; 
$key = q/{}$2.8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap715.xbm">'; 
$key = q/{}$10.6${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1049.xbm">'; 
$key = q/{}$<<489>>rmC<<489>>_<<490>>alpha<<490>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1061.xbm">'; 
$key = q/{}$i^<<423>>prime<<423>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap899.xbm">'; 
$key = q/{}$6.8%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap959.xbm">'; 
$key = q/{}$(mbox<<433>>$i$~<<433>>-mbox<<434>>$j$~<<434>>)geq5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap911.xbm">'; 
$key = q/{}$chi^<<280>>1<<280>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1161.xbm">'; 
$key = q/{}$i${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap895.xbm">'; 
$key = q/{}$5.9${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap991.xbm">'; 
$key = q/{}$approx42%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1025.xbm">'; 
$key = q/{}$60%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1019.xbm">'; 
$key = q/{}$chi^<<112>>1<<112>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap667.xbm">'; 
$key = q/{}$S_<<302>>c<<302>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1193.xbm">'; 
$key = q/{}$102${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap699.xbm">'; 
$key = q/{}$3.2${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap717.xbm">'; 
$key = q/{}$9.8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap815.xbm">'; 
$key = q/{}dag{}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap537.xbm">'; 
$key = q/{}$c${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap587.xbm">'; 
$key = q/{}$33.0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1007.xbm">'; 
$key = q/{}$9.3${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap787.xbm">'; 
$key = q/{}$approx1.8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1183.xbm">'; 
$key = q/{}$<<529>>rmC<<529>>_<<530>>beta<<530>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1211.xbm">'; 
$key = q/{}$<<495>>rmC<<495>>_<<496>>beta<<496>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1081.xbm">'; 
$key = q/{}$<<411>>rmC<<411>>_<<412>>alpha<<412>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap663.xbm">'; 
$key = q/{}$12%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1173.xbm">'; 
$key = q/{}$30%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1163.xbm">'; 
$key = q/{}$DeltaE(mbox<<466>>$i^<<465>>prime<<465>>$~<<466>>,j)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap937.xbm">'; 
$key = q/{}$35%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1095.xbm">'; 
$key = q/{}$50.6%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1051.xbm">'; 
$key = q/{}$%Igeq20%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1017.xbm">'; 
$key = q/{}$(i,j)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap929.xbm">'; 
$key = q/{}$DeltaE(i,j)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap921.xbm">'; 
$key = q/{}$16-18%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap799.xbm">'; 
$key = q/{}$<<516>>rmC<<516>>_<<517>>alpha<<517>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1179.xbm">'; 
$key = q/{}$28.9%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1023.xbm">'; 
$key = q/{}$%I=20${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap765.xbm">'; 
$key = q/{}$3_<<167>>10<<167>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap823.xbm">'; 
$key = q/{}$Q${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap873.xbm">'; 
$key = q/{}$approx1.2${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1071.xbm">'; 
$key = q/{}$^<<216>>2<<216>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1013.xbm">'; 
$key = q/{}$41%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap561.xbm">'; 
$key = q/{}$20${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1011.xbm">'; 
$key = q/{}$5.5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap813.xbm">'; 
$key = q/{}$<<492>>rmC<<492>>_<<493>>alpha<<493>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1069.xbm">'; 
$key = q/{}$3_<<168>>10<<168>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap831.xbm">'; 
$key = q/{}$%I${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1003.xbm">'; 
$key = q/{}$N(Q,x)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap869.xbm">'; 
$key = q/{}$j^<<431>>prime<<431>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap909.xbm">'; 
$key = q/{}$j^<<439>>prime<<439>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap919.xbm">'; 
$key = q/{}$lambda${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1769.xbm">'; 
$key = q/{}$C${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap619.xbm">'; 
$key = q/{}$betaalpha${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1781.xbm">'; 
$key = q/{}$2~000${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap575.xbm">'; 
$key = q/{}$2.5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap713.xbm">'; 
$key = q/{}$A${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap739.xbm">'; 
$key = q/{}$70%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1031.xbm">'; 
$key = q/{}$alphabeta${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1755.xbm">'; 
$key = q/{}$<<498>>rmC<<498>>_<<499>>beta<<499>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1083.xbm">'; 
$key = q/{}$2.0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap989.xbm">'; 
$key = q/{}$4.2${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap975.xbm">'; 
$key = q/{}[DeltaE(P,Q)=E(P,Q)-E^<<173>>o<<173>>]{}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap837.xbm">'; 
$key = q/{}$i^<<428>>prime<<428>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap905.xbm">'; 
$key = q/{}$<<510>>rmC<<510>>_<<511>>beta<<511>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1167.xbm">'; 
$key = q/{}$l_<<157>>max<<157>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap773.xbm">'; 
$key = q/{}$%I;html_special_mark_lt;15.8${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1155.xbm">'; 
$key = q/{}$n_<<158>>identical<<158>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap775.xbm">'; 
$key = q/{}[E(P,Q)=-RT~lnfrac<<362>>N_<<174>>o<<174>><<362>><<363>>N_<<175>>e<<175>><<363>>~~~~~~(RTapprox2.5kJmol)]{}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap838.xbm">'; 
$key = q/{}$<<526>>rmC<<526>>_<<527>>beta<<527>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1209.xbm">'; 
$key = q/{}$DeltaE(mbox<<446>>$i^<<445>>prime<<445>>$~<<446>>,mbox<<448>>$j^<<447>>prime<<447>>$~<<448>>)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap927.xbm">'; 
$key = q/{}$S_<<162>>c<<162>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap809.xbm">'; 
$key = q/{}$DeltaE(P,Q)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1073.xbm">'; 
$key = q/{}$(i,j)rightarrow(mbox<<460>>$i^<<459>>prime<<459>>$~<<460>>,j)rightarrow(mbox<<462>>$i^<<461>>prime<<461>>$~<<462>>,mbox<<464>>$j^<<463>>prime<<463>>$~<<464>>)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap935.xbm">'; 
$key = q/{}$E^<<178>>o<<178>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap861.xbm">'; 
$key = q/{}$x${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap863.xbm">'; 
$key = q/{}$(mbox<<450>>$i^<<449>>prime<<449>>$~<<450>>,mbox<<452>>$j^<<451>>prime<<451>>$~<<452>>)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap931.xbm">'; 
$key = q/{}$S_<<163>>c<<163>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap811.xbm">'; 
$key = q/{}$21.6%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap789.xbm">'; 
$key = q/{}$i^<<437>>prime<<437>>${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap917.xbm">'; 
$key = q/{}$DeltaE(mbox<<479>>$i^<<478>>prime<<478>>$~<<479>>,mbox<<480>>$j$~<<480>>)leq0${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap947.xbm">'; 
$key = q/{}$5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap843.xbm">'; 
$key = q/{}$N(x,x)${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap865.xbm">'; 
$key = q/{}$19${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap955.xbm">'; 
$key = q/{}$8%${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap1117.xbm">'; 
$key = q/{}$137${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap737.xbm">'; 
$key = q/{}$9.5${}/;
$cached_env_img{$key} ='<IMG ALIGN=BOTTOM ALT="" SRC="_10224_tex2html_wrap977.xbm">'; 
$key = q/{}$32~851${}/;
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1;