# LaTeX2HTML 2008 (1.71)
# Associate images original text with physical files.


$key = q/displaystyleTm=Tm(DMSO=0)-0.5timesDMSO;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="252" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img168.png"
 ALT="$\displaystyle Tm=Tm(DMSO=0)-0.5 \times DMSO
$">|; 

$key = q/{multline*}Deltah{(mbox{single-mismatch})}=delta{}h_mathrm{initiation-loop-of-2}hrm{per-AUslashGU}+delta{}h_mathrm{GG}+delta{}h_mathrm{RUslashYU}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="60" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{single-mismatch})} =
\delta{}h_\mathrm{initia...
...per-AU/GU} +
\delta{}h_\mathrm{GG} +
\delta{}h_\mathrm{RU/YU}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AGCC}}choosembox{texttt{UAUG}}}=(DeltaH{mbox{texttttt{CCUG}}}+DeltaH{mbox{texttt{GA}}-adjacent-to-mbox{texttt{CU}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="525" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{A GC C}} \choose \mbox{\texttt{U AU G}...
...lta H {\mbox{\texttt{GA}} -adjacent-to- \mbox{\texttt{CU}} } \\\\
\end{multline*}">|; 

$key = q/^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$ ^+]$">|; 

$key = q/{multline*}Delta{}h_mathrm{long-dangling-end}=delta{}h_mathrm{adjacent-terminal-base-pair+polyA}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="58" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{long-dangling-end} =
\delta{}h_\mathrm{adjacent-terminal-base-pair+polyA} \\\\
\end{multline*}">|; 

$key = q/10^{-5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.png"
 ALT="$ 10^{-5}$">|; 

$key = q/displaystyleTm=69.3+0.41times%GC-frac{650}{size};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="216" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img176.png"
 ALT="$\displaystyle Tm = 69.3 + 0.41 \times \%GC - \frac{650}{size}
$">|; 

$key = q/delta{}h_mathrm{mismatch-NNinteraction};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$ \delta{}h_\mathrm{mismatch-NN interaction}$">|; 

$key = q/displaystyle^{2+}]+g(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="$\displaystyle ^{2+}] + g (\ln [$">|; 

$key = q/delta{}h_mathrm{left-terminal-mismatch};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="142" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$ \delta{}h_\mathrm{left-terminal-mismatch}$">|; 

$key = q/displaystyle^+]+0.41times%GC-frac{675}{size};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img179.png"
 ALT="$\displaystyle ^+] + 0.41 \times \%GC - \frac{675}{size}
$">|; 

$key = q/[unhboxvoidb@xhbox{nucleicacid}]=1cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$ [\unhbox \voidb@x \hbox {nucleic acid}] = 1\cdot {}10^{-4}$">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+(8.75-2.83timeschi_{GC})timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="343" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+ (8.75 - 2.83 \times \chi_{GC}) \times \ln [\mbox{Na}^+]
$">|; 

$key = q/7pm1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img166.png"
 ALT="$ 7\pm 1$">|; 

$key = q/delta{}h_mathrm{closing-AT-penalty};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$ \delta{}h_\mathrm{closing-AT-penalty}$">|; 

$key = q/delta{}h_mathrm{RUslashYU};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$ \delta{}h_\mathrm{RU/YU}$">|; 

$key = q/{multline*}Deltah{(mbox{internal-loop(n)})}=delta{}h_mathrm{asymmetry}+delta{}h_{left-terminal-mismatch}+delta{}s_mathrm{right-terminal-mismatch}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="481" HEIGHT="132" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{internal-loop(n)})} =
\delta{}h_\mathrm{asymm...
...nal-mismatch}  +
\delta{}s_\mathrm{right-terminal-mismatch}\\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{intervening-NN};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$ \delta{}h_\mathrm{intervening-NN}$">|; 

$key = q/displaystyleDelta{}S=Delta{}S_{[mbox{Na}^+]=1;mathrm{M}}+0.847times(N-1)timeslog[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="315" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$\displaystyle \Delta{}S=\Delta{}S_{[\mbox{Na}^+]=1\;\mathrm{M}}+0.847 \times (N - 1) \times \log [\mbox{Na}^+]
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GACGC}}choosembox{texttt{C---G}}}=0DeltaS{mbox{text{GACGC}}choosembox{texttt{C---G}}}=DeltaS{mbox{bulge-loop-of-3}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GACGC}} \choose \mbox{\texttt{C-G}}}...
...e \mbox{\texttt{C-G}}} =
\Delta S {\mbox{bulge-loop-of-3}} \\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GCTAG-}}choosembox{texttt{CGATCCA}}}=DeltaH{mbox{px{texttt{CGATCC}}}+DeltaH{mbox{texttt{G-}}choosembox{texttt{CA}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="497" HEIGHT="119" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GCTAG-}} \choose \mbox{\texttt{CGATCCA...
...} +
\Delta H {\mbox{\texttt{G-}} \choose \mbox{\texttt{CA}}} \\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GA*C}}choosembox{texttt{CCG}}}=DeltaH{mbox{texttt{}choosembox{texttt{CG}}}+DeltaH{mbox{increment-for-GA*CslashCCG}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="99" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GA*C}} \choose \mbox{\texttt{CCG}}} = ...
...x{\texttt{CG}}}  +
\Delta H {\mbox{increment-for-GA*C/CCG}}\\\\
\end{multline*}">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+16.6logfrac{[mbox{Na}^+]}{1+0.7[mbox{Na}^+]}+3.85;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="331" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+ 16.6 \log \frac{[\mbox{Na}^+]}{1 + 0.7 [\mbox{Na}^+]} + 3.85
$">|; 

$key = q/displaystyle^+]timesfrac{ln[(frac{1}{x1}-1)timesmbox{Na}^+]}{N};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img156.png"
 ALT="$\displaystyle ^+] \times \frac{\ln [(\frac{1}{x1} - 1) \times \mbox{Na}^+]}{N}
$">|; 

$key = q/displaystyleTm=81.5+16.6timeslog[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="161" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img178.png"
 ALT="$\displaystyle Tm = 81.5 + 16.6 \times \log[$">|; 

$key = q/delta{}h_mathrm{initiation-loop(n)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$ \delta{}h_\mathrm{initiation-loop(n)}$">|; 

$key = q/^{2+}]^0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img162.png"
 ALT="$ ^{2+}]^0.5$">|; 

$key = q/displaystyleTm=77.1+11.7timeslog[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="161" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img182.png"
 ALT="$\displaystyle Tm = 77.1 + 11.7 \times \log[$">|; 

$key = q/displaystyleb1=0.018times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="$\displaystyle b1= 0.018 \times (\ln [$">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+(-4.62timeschi_{GC}+4.52)timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="355" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+ (-4.62 \times \chi_{GC} + 4.52) \times \ln [\mbox{Na}^+]
$">|; 

$key = q/{multline*}Deltah{(mbox{single-bulge-loop})}=delta{}h_mathrm{intervening-NN}+dellta{}s_mathrm{intervening-NN}+delta{}s_mathrm{closing-AT-penalty}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="519" HEIGHT="82" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{single-bulge-loop})} =
\delta{}h_\mathrm{inte...
...athrm{intervening-NN} +
\delta{}s_\mathrm{closing-AT-penalty}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{UAC}}choosembox{texttt{A--}}}=DeltaH{mbox{UA}}+DeltaH{mbox{bonus-pyrimidine-purine-pyrimidine}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="408" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{UAC}} \choose \mbox{\texttt{A-}}} =
\...
...{UA}} +
\Delta H {\mbox{bonus-pyrimidine-purine-pyrimidine}} \\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{symmetric-duplex-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$ \delta{}h_\mathrm{symmetric-duplex-1}$">|; 

$key = q/displaystyleTm=Tm(DMSO=0)-0.675timesDMSO;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="268" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img169.png"
 ALT="$\displaystyle Tm=Tm(DMSO=0)-0.675 \times DMSO
$">|; 

$key = q/displaystyle^+]times(17.0-0.135times%GC)-frac{550}{size};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="225" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img175.png"
 ALT="$\displaystyle ^+] \times (17.0 - 0.135 \times \%GC) - \frac{550}{size}
$">|; 

$key = q/delta{}h_mathrm{per-AUslashGU};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$ \delta{}h_\mathrm{per-AU/GU}$">|; 

$key = q/{multline*}Deltah{(mbox{tandem-mismatch})}=delta{}h_mathrm{tandem-mismatch+closing-base-pairs}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="376" HEIGHT="58" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{tandem-mismatch})} =
\delta{}h_\mathrm{tandem-mismatch+closing-base-pairs} \\\\
\end{multline*}">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}h_mathrm{pattern-composed-of-GU-base-pairs}&=&sumdelta{}h_mathrm{Crick'spair-containing-GU-base-pairs}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="511" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}h_\mathrm{pattern-composed-of-GU-b...
...=&amp;\sum \delta{}h_\mathrm{Crick's pair-containing-GU-base-pairs}\\\\
\end{array}$">|; 

$key = q/displaystyleg2=a2+frac{b2}{(N)^2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="$\displaystyle g2=a2 + \frac{b2}{(N)^2}
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GACC}}choosembox{texttt{CCAG}}}=DeltaH{mbox{texttt{AC}}choosembox{texttt{CA}}}-adjacent-to-GC{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="322" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{G AC C}} \choose \mbox{\texttt{C CA G}...
...mbox{\texttt{AC}} \choose \mbox{\texttt{CA}}} -adjacent-to-GC\\\\
\end{multline*}">|; 

$key = q/{multline*}Delta{}h_mathrm{pattern-containing-hydroxyadenine}=sumdelta{}h_mathrmh-AT-base-pair}+delta{}h_mathrm{hydroxyadenine-increment}{multline*};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="524" HEIGHT="60" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{pattern-containing-hydroxyadenine} =
\sum \d...
...h-AT-base-pair}  +
\delta{}h_\mathrm{hydroxyadenine-increment}
\end{multline*}">|; 

$key = q/displaystyle^{2+}]+0.0068times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="125" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="$\displaystyle ^{2+}] + 0.0068 \times (\ln [$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GAC}}choosembox{texttt{C-G}}}=DeltaH{mbox{texttt{G{bulge-loop-of-1}}+DeltaS{mbox{texttt{GC}}choosembox{texttt{CG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="398" HEIGHT="119" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GAC}} \choose \mbox{\texttt{C-G}}} =
\...
...} +
\Delta S {\mbox{\texttt{GC}} \choose \mbox{\texttt{CG}}} \\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{initiation-bulge-loop-of-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="$ \delta{}h_\mathrm{initiation-bulge-loop-of-1}$">|; 

$key = q/{multline*}Deltah{(mbox{long-bulge-loop})}=delta{}h_mathrm{closing-AT-penalty}Deta{}s_mathrm{bulge-loop-of-n}+delta{}s_mathrm{closing-AT-penalty}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="462" HEIGHT="82" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{long-bulge-loop})} =
\delta{}h_\mathrm{closin...
...thrm{bulge-loop-of-n} +
\delta{}s_\mathrm{closing-AT-penalty}\\\\
\end{multline*}">|; 

$key = q/{multline*}Deltah{(mbox{single-bulge-loop})}=delta{}h_mathrm{initiation-bulge-loop-of-1}+delta{}h_mathrm{intervening-NN}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="436" HEIGHT="58" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{single-bulge-loop})} =
\delta{}h_\mathrm{initiation-bulge-loop-of-1} +
\delta{}h_\mathrm{intervening-NN} \\\\
\end{multline*}">|; 

$key = q/{multline*}frac{1}{100000}timesln[mbox{Na}^+]+9.40timesfrac{1}{1000000}timesln[mbox{Na}^+]{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="521" HEIGHT="44" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="\begin{multline*}
\frac{1}{100000} \times \ln [\mbox{Na}^+] +
9.40 \times \frac{1}{1000000} \times \ln [\mbox{Na}^+]
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GALCLC}}choosembox{texttt{CTGG}}}=DeltaH{mbox{textmbox{texttt{TG}}}+DeltaH{mbox{texttt{CLC}}choosembox{texttt{GG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GALCLC}} \choose \mbox{\texttt{CTGG}}}...
... +
\Delta H {\mbox{\texttt{CLC}} \choose \mbox{\texttt{GG}}} \\\\
\end{multline*}">|; 

$key = q/C_{mbox{max}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="$ C_{\mbox{max}}$">|; 

$key = q/displaystylex1=frac{[mbox{Na}^+]}{(mbox{Na}^++(frac{8.1-32.4}{N})times(5.2-ln[mbox{Na}^+])timesmbox{Mg}^{2+})};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img157.png"
 ALT="$\displaystyle x1 = \frac{[\mbox{Na}^+]}{(\mbox{Na}^+ + (\frac{8.1 - 32.4}{N}) \times (5.2 - \ln [\mbox{Na}^+]) \times \mbox{Mg}^{2+})}
$">|; 

$key = q/displaystyleTm=80.4+0.345times%GC+log[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="221" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img174.png"
 ALT="$\displaystyle Tm = 80.4 + 0.345 \times \%GC + \log[$">|; 

$key = q/displaystyleTm=Tm(formamide=0)+(0.453timeschi_{GC}-2.88)timesformamide;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="428" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.png"
 ALT="$\displaystyle Tm=Tm(formamide=0)+ (0.453 \times \chi_{GC} - 2.88) \times formamide
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AIC}}choosembox{texttt{TAG}}}=DeltaH{mbox{texttt{Aembox{texttt{TA}}}+DeltaH{mbox{texttt{IC}}choosembox{texttt{AG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{AIC}} \choose \mbox{\texttt{TAG}}} =
...
...}} +
\Delta H {\mbox{\texttt{IC}} \choose \mbox{\texttt{AG}}}\\\\
\end{multline*}">|; 

$key = q/displaystyle^+]+0.012times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="112" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="$\displaystyle ^+] + 0.012 \times (\ln [$">|; 

$key = q/]=1cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$ ] = 1\cdot{}10^{-4}$">|; 

$key = q/]=4cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$ ] = 4\cdot{}10^{-4}$">|; 

$key = q/delta{}h_mathrm{initiation-loop-of-2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="130" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$ \delta{}h_\mathrm{initiation-loop-of-2}$">|; 

$key = q/^+;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$ ^+$">|; 

$key = q/delta{}h_mathrm{mismatch-nucleotides};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="132" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$ \delta{}h_\mathrm{mismatch-nucleotides}$">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+(-3.22timeschi_{GC}-6.39)timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="355" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+ (-3.22 \times \chi_{GC} - 6.39) \times \ln [\mbox{Na}^+]
$">|; 

$key = q/C_T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="$ C_T$">|; 

$key = q/displaystyle^+]+[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img161.png"
 ALT="$\displaystyle ^+] + [$">|; 

$key = q/displaystyle-0.985timesln[(;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="$\displaystyle - 0.985 \times \ln [($">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}h_mathrm{single-mismatch}&=&sumdelta{}h_mathrm{Crick's-pair-containing-the-mismatch}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="397" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}h_\mathrm{single-mismatch}&amp;=&amp;\sum \delta{}h_\mathrm{Crick's-pair-containing-the-mismatch}\\\\
\end{array}$">|; 

$key = q/displaystyle^+]+0.41times%GC-frac{528}{size};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img183.png"
 ALT="$\displaystyle ^+] + 0.41 \times \%GC - \frac{528}{size}
$">|; 

$key = q/{multline*}Deltah{(mbox{long-bulge-loop})}=delta{}h_mathrm{initiation-bulge-loop-of-n}+delta{}h_mathrm{per-AUslashGU-penalty}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="332" HEIGHT="84" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{long-bulge-loop})} =
\delta{}h_\mathrm{initiation-bulge-loop-of-n}  +
\delta{}h_\mathrm{per-AU/GU-penalty}\\\\
\end{multline*}">|; 

$key = q/displaystyleb2=ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img143.png"
 ALT="$\displaystyle b2= \ln [$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GCAGCAGCAGC}}choosembox{texttt{CGACGACGACG}}}=DeltaH{(mbox{3-CAG-repeats})}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="522" HEIGHT="49" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GCAGCAGCAGC}} \choose \mbox{\texttt{CGACGACGACG}}} =
\Delta H {(\mbox{3-CAG-repeats})}
\end{multline*}">|; 

$key = q/{multline*}frac{1}{Tm}=frac{1}{Tm_{[mbox{Na}^+]=1;mathrm{M}}}+(4.29timeschi_{GC}-3.95)times{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="520" HEIGHT="53" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="\begin{multline*}
\frac{1}{Tm}=\frac{1}{Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}}+ (4.29 \times \chi_{GC} - 3.95) \times
\end{multline*}">|; 

$key = q/displaystylex2=1-x1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img158.png"
 ALT="$\displaystyle x2= 1-x1
$">|; 

$key = q/displaystyle^+]+frac{[mbox{Tris}^+]}{2}+3.3sqrt{[mbox{Mg}^{2+}]-[mbox{dNTP}]};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img165.png"
 ALT="$\displaystyle ^+]+\frac{[\mbox{Tris}^+]}{2}+3.3 \sqrt{[\mbox{Mg}^{2+}] - [\mbox{dNTP}]}
$">|; 

$key = q/delta{}h_mathrm{asymmetry};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$ \delta{}h_\mathrm{asymmetry}$">|; 

$key = q/]=2cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$ ] = 2\cdot{}10^{-4}$">|; 

$key = q/displaystyle^+]);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img147.png"
 ALT="$\displaystyle ^+])
$">|; 

$key = q/{multline*}Delta{}h_mathrm{pattern-containing-azobenzene}=delta{}h_mathrm{Crick'spair-containing-azobenzene+adjacent-base-pairs}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="497" HEIGHT="58" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{pattern-containing-azobenzene} =
\delta{}h_\mathrm{Crick's pair-containing-azobenzene+adjacent-base-pairs}\\\\
\end{multline*}">|; 

$key = q/displaystyle^+)^2];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="$\displaystyle ^+)^2]
$">|; 

$key = q/[unhboxvoidb@xhbox{nucleicacid}]=2cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$ [\unhbox \voidb@x \hbox {nucleic acid}] = 2\cdot {}10^{-4}$">|; 

$key = q/delta{}h_mathrm{GG};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$ \delta{}h_\mathrm{GG}$">|; 

$key = q/displaystyleTm=Tm(formamide=0)-0.65timesformamide;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="320" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img172.png"
 ALT="$\displaystyle Tm=Tm(formamide=0)-0.65 \times formamide
$">|; 

$key = q/displaystyleTm=69.3+0.41times%GC-frac{535}{size};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="216" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img177.png"
 ALT="$\displaystyle Tm = 69.3 + 0.41 \times \%GC - \frac{535}{size}
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GACCGC}}choosembox{texttt{CCATAG}}}=DeltaH{mbox{teembox{texttt{CC}}}+DeltaS{mbox{texttt{GC}}choosembox{texttt{AG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="435" HEIGHT="119" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{G ACCG C}} \choose \mbox{\texttt{C CAT...
...}} +
\Delta S {\mbox{\texttt{GC}} \choose \mbox{\texttt{AG}}}\\\\
\end{multline*}">|; 

$key = q/displaystyle^+]-8.03cdot{}10^{-3}ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img149.png"
 ALT="$\displaystyle ^+] -
8.03\cdot{}10^{-3} \ln [$">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}h_mathrm{single-dangling-end}&=&delta{}h_mathrm{Crick's-pair-containing-the-dangling-end}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="427" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}h_\mathrm{single-dangling-end}&amp;=&amp;\delta{}h_\mathrm{Crick's-pair-containing-the-dangling-end}\\\\
\end{array}$">|; 

$key = q/[unhboxvoidb@xhbox{Na}^+]=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$ [\unhbox \voidb@x \hbox {Na}^+] = 1$">|; 

$key = q/{multline*}Delta{}h_mathrm{double-dangling-end}=delta{}h_mathrm{single-dangling-end}+delta{}h_mathrm{bonus-second-dangling-end}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="352" HEIGHT="82" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{double-dangling-end} =
\delta{}h_\mathrm{sin...
...gling-end}  +
\delta{}h_\mathrm{bonus-second-dangling-end}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GALC}}choosembox{texttt{CTG}}}=DeltaH{mbox{texttt{mbox{texttt{CT}}}+DeltaH{mbox{texttt{ALC}}choosembox{texttt{CG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="254" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GALC}} \choose \mbox{\texttt{CTG}}} = ...
... +
\Delta H {\mbox{\texttt{ALC}} \choose \mbox{\texttt{CG}}} \\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GALC}}choosembox{texttt{CTG}}}=DeltaH{mbox{texttt{increment-for-GALslashCT}}+DeltaH{mbox{increment-for-ALCslashTG}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="99" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GALC}} \choose \mbox{\texttt{CTG}}} = ...
...crement-for-GAL/CT}} +
\Delta H {\mbox{increment-for-ALC/TG}}\\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{AUslashGU};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$ \delta{}h_\mathrm{AU/GU}$">|; 

$key = q/C_{mbox{max}}-C_{mbox{min}}slash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$ C_{\mbox{max}} - C_{\mbox{min}}/2$">|; 

$key = q/{multline*}Delta{}h_mathrm{pattern-containing-Locked-Nucleic-Acid}=sumdelta{}h_mumdelta{}h_mathrm{increment-Crick'spair-with-Locked-Nucleic-Acid}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="523" HEIGHT="61" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{pattern-containing-Locked-Nucleic-Acid} =
\s...
...elta{}h_\mathrm{increment-Crick's pair-with-Locked-Nucleic-Acid}
\end{multline*}">|; 

$key = q/frac{Delta{}H}{Delta{}S+Rln(C_TslashF)}-273.15;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$ \frac{\Delta{}H}{\Delta{}S + R \ln (C_T/F)} - 273.15 $">|; 

$key = q/C_{mbox{max}}ggC_{mbox{min}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$ C_{\mbox{max}} \gg C_{\mbox{min}}$">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+16.6timeslog[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+ 16.6 \times \log [\mbox{Na}^+]
$">|; 

$key = q/displaystyle^{2+}])^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="$\displaystyle ^{2+}])^2
$">|; 

$key = q/displaystylea1=-0.075timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="122" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$\displaystyle a1= -0.075 \times \ln [$">|; 

$key = q/displaystyle^+]^{2});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.png"
 ALT="$\displaystyle ^+]^{2})
$">|; 

$key = q/displaystyleg=8.31cdot{}10^{-5}(0.486-0.258ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="215" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img151.png"
 ALT="$\displaystyle g = 8.31\cdot{}10^{-5} (0.486 - 0.258 \ln [$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GCTAG---}}choosembox{texttt{CGATCCAAA}}}=DeltaH{mbxttt{CGATCC}}}+DeltaH{mbox{texttt{G---}}choosembox{texttt{CAAA}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="504" HEIGHT="119" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GCTAG-}} \choose \mbox{\texttt{CGATC...
...\Delta H {\mbox{\texttt{G-}} \choose \mbox{\texttt{CAAA}}} \\\\
\end{multline*}">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}h_mathrm{pattern-containing-inosine-bases}&=&sumdelta{}h_mathrm{Crick'spair-containing-inosine-bases}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="473" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}h_\mathrm{pattern-containing-inosi...
...&amp;\sum
\delta{}h_\mathrm{Crick's pair-containing-inosine-bases}\\\\
\end{array}$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GAC}}choosembox{texttt{C-G}}}=DeltaH{mbox{initiati-bulge-loop-of-1}}+DeltaH{mbox{texttt{GC}}choosembox{texttt{CG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="352" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GAC}} \choose \mbox{\texttt{C-G}}} =
\...
...} +
\Delta H {\mbox{\texttt{GC}} \choose \mbox{\texttt{CG}}} \\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{initiation-bulge-loop-of-n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$ \delta{}h_\mathrm{initiation-bulge-loop-of-n}$">|; 

$key = q/delta{}h_mathrm{first-non-canonical-pairs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="155" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$ \delta{}h_\mathrm{first-non-canonical-pairs}$">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}H&=&delta{}h_mathrm{initiation}+delta{}h_mathrure1}+delta{}s_mathrm{structure2}+delta{}s_mathrm{structure3}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}H&amp;=&amp;\delta{}h_\mathrm{initiation}+...
...ture1}+\delta{}s_\mathrm{structure2}+\delta{}s_\mathrm{structure3}
\end{array}$">|; 

$key = q/{multline*}Deltah{(mbox{single-mismatch})}=delta{}h_mathrm{mismatch-nucleotides}lta{}h_mathrm{mismatch-NN-interaction}+delta{}h_mathrm{AUslashGU}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="523" HEIGHT="60" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{single-mismatch})} =
\delta{}h_\mathrm{misma...
..._\mathrm{mismatch-NN-interaction} +
\delta{}h_\mathrm{AU/GU} \\\\
\end{multline*}">|; 

$key = q/displaystylea1=-0.07timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="$\displaystyle a1= -0.07 \times \ln [$">|; 

$key = q/displaystyle^+]=[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img160.png"
 ALT="$\displaystyle ^+] = [$">|; 

$key = q/delta{}h_mathrm{symmetric-duplex-2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$ \delta{}h_\mathrm{symmetric-duplex-2}$">|; 

$key = q/displaystyle^{2+}])^{2}]);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="$\displaystyle ^{2+}])^{2}])
$">|; 

$key = q/displaystyleg12=-0.6timesx1timesx2timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="178" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img155.png"
 ALT="$\displaystyle g12 = -0.6 \times x1 \times x2 \times \ln [$">|; 

$key = q/displaystyleDelta{}S=Delta{}S_{[mbox{Na}^+]=1;mathrm{M}}-3.22times((N-1)times(x1timesg1+x2timesg2)+g12));MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="433" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img154.png"
 ALT="$\displaystyle \Delta{}S=\Delta{}S_{[\mbox{Na}^+]=1\;\mathrm{M}}- 3.22 \times ((N - 1) \times (x1 \times g1 + x2 \times g2) + g12))
$">|; 

$key = q/DeltaS;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$ \Delta S$">|; 

$key = q/[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$ [$">|; 

$key = q/delta{}h_mathrm{bulge-loop-of-n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$ \delta{}h_\mathrm{bulge-loop-of-n}$">|; 

$key = q/C_Tslash4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$ C_T/4$">|; 

$key = q/displaystyled=1.42cdot{}10^{-5}(1.279-4.03cdot{}10^{-3}ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="248" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img148.png"
 ALT="$\displaystyle d = 1.42\cdot{}10^{-5} (1.279 - 4.03\cdot{}10^{-3} \ln [$">|; 

$key = q/delta{}h_mathrm{bulge-loop-of-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$ \delta{}h_\mathrm{bulge-loop-of-1}$">|; 

$key = q/C_{mbox{min}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="$ C_{\mbox{min}}$">|; 

$key = q/displaystyleg1=a1+frac{b1}{N};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="$\displaystyle g1=a1 + \frac{b1}{N}
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AUC}}choosembox{texttt{UUG}}}=DeltaH{mbox{initiatix{texttt{per-AU}}}+DeltaH{mbox{texttt{RU}}choosembox{texttt{YU}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="426" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{AUC}} \choose \mbox{\texttt{UUG}}} =
\...
... +
\Delta H {\mbox{\texttt{RU}} \choose \mbox{\texttt{YU}} } \\\\
\end{multline*}">|; 

$key = q/displaystyleTm=87.16+0.345times%GC+log[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img180.png"
 ALT="$\displaystyle Tm = 87.16 + 0.345 \times \%GC + \log[$">|; 

$key = q/displaystyle[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img159.png"
 ALT="$\displaystyle [$">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}H&=&Delta{}h_mathrm{sequence-of-type-texttt{G(CNG)xC}}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}H&amp;=&amp;\Delta{}h_\mathrm{sequence-of-type-\texttt{G(CNG)xC}}\\\\
\end{array}$">|; 

$key = q/displaystyleTm=81.5+16.6logfrac{[mbox{Na}^+]}{1+0.7[mbox{Na}^+]}+0.41%GC-frac{500}{size}-%Mismatching;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="468" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img184.png"
 ALT="$\displaystyle Tm = 81.5 + 16.6\log\frac{[\mbox{Na}^+]}{1+0.7[\mbox{Na}^+]} + 0.41\% GC - \frac{500}{size}
- \%Mismatching
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AACGC}}choosembox{texttt{U---G}}}=DeltaH{mbox{initiation-bulge-loop-of-3}}+1timesDeltaH{mbox{per-AU-penalty}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="456" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{AACGC}} \choose \mbox{\texttt{U-G}}}...
...ulge-loop-of-3}} +
1 \times \Delta H {\mbox{per-AU-penalty}} \\\\
\end{multline*}">|; 

$key = q/displaystylea2=frac{-0.6}{N}+0.025timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="$\displaystyle a2= \frac{-0.6}{N} + 0.025 \times \ln [$">|; 

$key = q/delta{}h_mathrm{right-terminal-mismatch};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$ \delta{}h_\mathrm{right-terminal-mismatch}$">|; 

$key = q/displaystyleDelta{}S=Delta{}S_{[mbox{Na}^+]=1;mathrm{M}}+0.368*(N-1)timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="302" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$\displaystyle \Delta{}S=\Delta{}S_{[\mbox{Na}^+]=1\;\mathrm{M}}+ 0.368 * (N - 1) \times \ln [\mbox{Na}^+]
$">|; 

$key = q/{multline*}Deltah{(mbox{internal-loop(n)})}=delta{}h_mathrm{initiation-loop(n)}+a{}h_mathrm{asymmetry}+delta{}h_mathrm{first-non-canonical-pairs}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="503" HEIGHT="84" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{internal-loop(n)})} =
\delta{}h_\mathrm{initi...
...{asymmetry}  +
\delta{}h_\mathrm{first-non-canonical-pairs}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AACCGC}}choosembox{texttt{UC-UAG}}}=DeltaH{mbox{lo}+1timesDeltaH{mbox{texttt{per-AU}}}+(4-3)DeltaH{mbox{asymmetry}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="532" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{A ACCG C}} \choose \mbox{\texttt{U C-U...
...{\mbox{\texttt{per-AU}}} +
(4 - 3)\Delta H {\mbox{asymmetry}}\\\\
\end{multline*}">|; 

$key = q/displaystyle^+]times(20.17-0.066times%GC);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img181.png"
 ALT="$\displaystyle ^+] \times (20.17 - 0.066 \times \%GC)
$">|; 

$key = q/displaystyle12.5log[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="$\displaystyle 12.5 \log [$">|; 

$key = q/]=5cdot{}10^{-6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="$ ] = 5\cdot{}10^{-6}$">|; 

$key = q/delta{}h_mathrm{per-AUslashGU-penalty};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="130" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$ \delta{}h_\mathrm{per-AU/GU-penalty}$">|; 

$key = q/chi_{GC};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="$ \chi_{GC}$">|; 

$key = q/displaystyle^+]+5.25cdot{}10^{-3}ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img152.png"
 ALT="$\displaystyle ^+] + 5.25\cdot{}10^{-3}
\ln [$">|; 

$key = q/displaystyleTm=67+16.6logfrac{[mbox{Na}^+]}{1+0.7[mbox{Na}^+]}+0.8%GC-frac{500}{size}-%Mismatching;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="448" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img186.png"
 ALT="$\displaystyle Tm = 67 + 16.6\log\frac{[\mbox{Na}^+]}{1+0.7[\mbox{Na}^+]} + 0.8\% GC - \frac{500}{size}
- \%Mismatching
$">|; 

$key = q/10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="$ 10^{-4}$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GIAC}}choosembox{texttt{CAIG}}}=DeltaH{mbox{textttembox{texttt{AI}}}+DeltaH{mbox{texttt{AC}}choosembox{texttt{IG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GIAC}} \choose \mbox{\texttt{CAIG}}} =...
...}} +
\Delta H {\mbox{\texttt{AC}} \choose \mbox{\texttt{IG}}}\\\\
\end{multline*}">|; 

$key = q/[unhboxvoidb@xhbox{nucleicacid}]=5cdot{}10^{-6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$ [\unhbox \voidb@x \hbox {nucleic acid}] = 5\cdot {}10^{-6}$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GUGC}}choosembox{texttt{CGUG}}}=DeltaH{mbox{textttembox{texttt{GU}}}+DeltaH{mbox{texttt{UC}}choosembox{texttt{GG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GUGC}} \choose \mbox{\texttt{CGUG}}} =...
...}} +
\Delta H {\mbox{\texttt{UC}} \choose \mbox{\texttt{GG}}}\\\\
\end{multline*}">|; 

$key = q/displaystylea2=0.02timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="$\displaystyle a2= 0.02 \times \ln [$">|; 

$key = q/displaystyle(-e+fln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="$\displaystyle (-e + f \ln [$">|; 

$key = q/displaystyle^+]+frac{[mbox{Tris}^+]}{2}+4sqrt{[mbox{Mg}^{2+}]-[mbox{dNTP}]};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="234" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img164.png"
 ALT="$\displaystyle ^+]+\frac{[\mbox{Tris}^+]}{2}+4 \sqrt{[\mbox{Mg}^{2+}] - [\mbox{dNTP}]}
$">|; 

$key = q/10^{-6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="$ 10^{-6}$">|; 

$key = q/displaystyle^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$\displaystyle ^+]
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{ATC}}choosembox{texttt{TCG}}}=DeltaH{mbox{texttt{Aembox{texttt{TC}}}+DeltaH{mbox{texttt{TC}}choosembox{texttt{CG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{ATC}} \choose \mbox{\texttt{TCG}}} =
...
...+
\Delta H {\mbox{\texttt{TC}} \choose \mbox{\texttt{CG}} } \\\\
\end{multline*}">|; 

$key = q/delta{}h_mathrm{p};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$ \delta{}h_\mathrm{p}$">|; 

$key = q/displaystylefrac{1}{Tm}=frac{1}{Tm_{[mbox{Na}^+]=1;mathrm{M}}}+(3.85timeschi_{GC}-6.18)timesfrac{1}{100000}timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="419" HEIGHT="51" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$\displaystyle \frac{1}{Tm}=\frac{1}{Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}}+ (3.85 \times \chi_{GC} - 6.18) \times \frac{1}{100000} \times \ln [\mbox{Na}^+]
$">|; 

$key = q/delta{}h_mathrm{internal-loop(n)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$ \delta{}h_\mathrm{internal-loop(n)}$">|; 

$key = q/{multline*}Delta{}h_mathrm{tandem-mismatch}=delta{}h_mathrm{Crick's-pair-containatch}+sumdelta{}h_mathrm{Crick's-pair-containing-single-mismatch}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="523" HEIGHT="61" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="\begin{multline*}
\Delta{}h_\mathrm{tandem-mismatch} =
\delta{}h_\mathrm{Crick's...
...
\sum \delta{}h_\mathrm{Crick's-pair-containing-single-mismatch}
\end{multline*}">|; 

$key = q/displaystyle^{2+}+0.38times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.png"
 ALT="$\displaystyle ^{2+} + 0.38 \times (\ln [$">|; 

$key = q/{multline*}Deltah{(mbox{tandem-mismatch})}=(delta{}h_mathrm{symmetric-duplex-1}+m{symmetric-duplex-2})}{2}+delta{}h_mathrm{GG}+delta{}h_mathrm{p}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="95" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{tandem-mismatch})} =
( \delta{}h_\mathrm{symm...
...ex-2} )}{2}  +
\delta{}h_\mathrm{GG} +
\delta{}h_\mathrm{p}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GALCLGLC}}choosembox{texttt{CTTCG}}}=DeltaH{mbox{tembox{texttt{TC}}}DeltaH{mbox{texttt{GLC}}choosembox{texttt{CG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="463" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GALCLGLC}} \choose \mbox{\texttt{CTTCG...
...}
\Delta H {\mbox{\texttt{GLC}} \choose \mbox{\texttt{CG}}} \\\\
\end{multline*}">|; 

$key = q/displaystyle^+]^{0.5}ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img146.png"
 ALT="$\displaystyle ^+]^{0.5} \ln [$">|; 

$key = q/^{2+}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$ ^{2+}]$">|; 

$key = q/[unhboxvoidb@xhbox{nucleicacid}]=2cdot{}10^{-6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$ [\unhbox \voidb@x \hbox {nucleic acid}] = 2\cdot {}10^{-6}$">|; 

$key = q/displaystyleTm=Tm(DMSO=0)-0.6timesDMSO;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="252" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img170.png"
 ALT="$\displaystyle Tm=Tm(DMSO=0)-0.6 \times DMSO
$">|; 

$key = q/[unhboxvoidb@xhbox{nucleicacid}]=4cdot{}10^{-4};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$ [\unhbox \voidb@x \hbox {nucleic acid}] = 4\cdot {}10^{-4}$">|; 

$key = q/^+]=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$ ^+] = 1$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{ATGC}}choosembox{texttt{TCAG}}}=DeltaH{mbox{textttembox{texttt{CA}}}+DeltaH{mbox{texttt{GC}}choosembox{texttt{AG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{ATGC}} \choose \mbox{\texttt{TCAG}}} =...
...+
\Delta H {\mbox{\texttt{GC}} \choose \mbox{\texttt{AG}} } \\\\
\end{multline*}">|; 

$key = q/{multline*}Deltah{(mbox{single-bulge-loop})}=delta{}h_mathrm{unpaired-nucleotid+adjacent-base-pairs}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="383" HEIGHT="58" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="\begin{multline*}
\Delta h {(\mbox{single-bulge-loop})} =
\delta{}h_\mathrm{unpaired-nucleotid+adjacent-base-pairs} \\\\
\end{multline*}">|; 

$key = q/displaystyleDelta{}S=Delta{}S_{[mbox{Na}^+]=1;mathrm{M}}-3.22times(N-1)timesg2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="$\displaystyle \Delta{}S=\Delta{}S_{[\mbox{Na}^+]=1\;\mathrm{M}}- 3.22 \times (N - 1) \times g2
$">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}h_mathrm{perfectly-matching}&=&sumdelta{}h_mat_mathrm{perfectly-matching}&=&sumdelta{}s_mathrm{Crick'spair}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="262" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}h_\mathrm{perfectly-matching}&amp;=&amp;\s...
...\mathrm{perfectly-matching}&amp;=&amp;\sum \delta{}s_\mathrm{Crick's pair}
\end{array}$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{CAT}}choosembox{texttt{GAU}}}=DeltaH{mbox{texttt{Cembox{texttt{GA}}}+DeltaH{mbox{texttt{AT}}choosembox{texttt{AU}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{CAT}} \choose \mbox{\texttt{GAU}}} =
...
... +
\Delta H {\mbox{\texttt{AT}} \choose \mbox{\texttt{AU}} } \\\\
\end{multline*}">|; 

$key = q/displaystyleb2=1.18timesln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="$\displaystyle b2= 1.18 \times \ln [$">|; 

$key = q/<;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img173.png"
 ALT="$ &lt;$">|; 

$key = q/displaystylefrac{1}{Tm_{[mbox{Mg}^{2+}]}}=frac{1}{Tm_{[mbox{Na}^+]=1;mathrm{M}}}(ln[mbox{Mg}^{2+}])+chi_{GC}(c+dln[mbox{Mg}^{2+}])+frac{1}{2(Nbp-1)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="545" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="$\displaystyle \frac{1}{Tm_{[\mbox{Mg}^{2+}]}} = \frac{1}{Tm_{[\mbox{Na}^+]=1\;\...
...ox{Mg}^{2+}]) + \chi_{GC} (c + d \ln [\mbox{Mg}^{2+}]) + \frac{1}{2 (Nbp-1)}
$">|; 

$key = q/displaystyle^+]+frac{[mbox{Tris}^+]}{2}+3.79sqrt{[mbox{Mg}^{2+}]-[mbox{dNTP}]};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="255" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img163.png"
 ALT="$\displaystyle ^+]+\frac{[\mbox{Tris}^+]}{2}+3.79 \sqrt{[\mbox{Mg}^{2+}] - [\mbox{dNTP}]}
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GCTTAGGC}}choosembox{texttt{CGA-TCCG}}}=DeltaH{mbo{texttt{A-T}}}+DeltaH{mbox{texttt{AGGC}}choosembox{texttt{TCCG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="503" HEIGHT="145" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GCTTAGGC}} \choose \mbox{\texttt{CGA-T...
...
\Delta H {\mbox{\texttt{AGGC}} \choose \mbox{\texttt{TCCG}}}\\\\
\end{multline*}">|; 

$key = q/displaystyle{array}[t]{ccc}Delta{}H&=&delta{}h_mathrm{initiation}+sumdelta{}h_maS&=&delta{}s_mathrm{initiation}+sumdelta{}s_mathrm{structure}{array};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="238" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$\displaystyle \begin{array}[t]{ccc}
\Delta{}H&amp;=&amp;\delta{}h_\mathrm{initiation}+...
...&amp;=&amp;\delta{}s_\mathrm{initiation}+\sum \delta{}s_\mathrm{structure}
\end{array}$">|; 

$key = q/displaystyleb1=0.013times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$\displaystyle b1= 0.013 \times (\ln [$">|; 

$key = q/displaystyleDelta{}S=Delta{}S_{[mbox{Na}^+]=1;mathrm{M}}-3.22times(N-1)timesg1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="$\displaystyle \Delta{}S=\Delta{}S_{[\mbox{Na}^+]=1\;\mathrm{M}}- 3.22 \times (N - 1) \times g1
$">|; 

$key = q/frac{Delta{}H}{Delta{}S}-273.15;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$ \frac{\Delta{}H}{\Delta{}S} - 273.15 $">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GCTX_CAGGC}}choosembox{texttt{CGATCCG}}}=DeltaH{mbx{texttt{AT}}}+DeltaH{mbox{texttt{AGGC}}choosembox{texttt{TCCG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="482" HEIGHT="145" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GCTX\_CAGGC}} \choose \mbox{\texttt{CG...
...
\Delta H {\mbox{\texttt{AGGC}} \choose \mbox{\texttt{TCCG}}}\\\\
\end{multline*}">|; 

$key = q/{multline*}DeltaH{mbox{texttt{GUC}}choosembox{texttt{CGG}}}=DeltaH{mbox{texttt{Gembox{texttt{CG}}}+DeltaH{mbox{texttt{UC}}choosembox{texttt{GG}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="229" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{GUC}} \choose \mbox{\texttt{CGG}}} =
...
...}} +
\Delta H {\mbox{\texttt{UC}} \choose \mbox{\texttt{GG}}}\\\\
\end{multline*}">|; 

$key = q/displaystyle^{2+}]+0.344times(ln[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="$\displaystyle ^{2+}] + 0.344 \times (\ln [$">|; 

$key = q/displaystylea=3.92cdot{}10^{-5}(0.843-0.352[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="201" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img145.png"
 ALT="$\displaystyle a = 3.92\cdot{}10^{-5} (0.843 - 0.352 [$">|; 

$key = q/displaystyle^+]^{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img153.png"
 ALT="$\displaystyle ^+]^{3}
$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AUC}}choosembox{texttt{UUG}}}=DeltaH{mbox{texttt{Ubox{texttt{AU}}}+DeltaH{mbox{texttt{RYY}}choosembox{texttt{YYR}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{AUC}} \choose \mbox{\texttt{UUG}}} =
...
...
\Delta H {\mbox{\texttt{RYY}} \choose \mbox{\texttt{YYR}} } \\\\
\end{multline*}">|; 

$key = q/displaystyleTm=Tm(DMSO=0)-0.75timesDMSO;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="260" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img167.png"
 ALT="$\displaystyle Tm=Tm(DMSO=0)-0.75 \times DMSO
$">|; 

$key = q/^{0.5}];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$ ^{0.5}]$">|; 

$key = q/{multline*}DeltaH{mbox{texttt{AGCGA}}choosembox{texttt{TCGCT}}}=DeltaH{mbox{textembox{texttt{GC}}}+DeltaH{mbox{texttt{GA}}choosembox{texttt{CT}}}{multline*};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="521" HEIGHT="49" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="\begin{multline*}
\Delta H {\mbox{\texttt{AGCGA}} \choose \mbox{\texttt{TCGCT}}}...
...}} } +
\Delta H {\mbox{\texttt{GA}} \choose \mbox{\texttt{CT}} }
\end{multline*}">|; 

$key = q/displaystyleTm=Tm_{[mbox{Na}^+]=1;mathrm{M}}+(7.95-3.06timeschi_{GC})timesln[mbox{Na}^+];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="343" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="$\displaystyle Tm=Tm_{[\mbox{Na}^+]=1\;\mathrm{M}}+(7.95 - 3.06 \times \chi_{GC}) \times \ln [\mbox{Na}^+]
$">|; 

$key = q/]=2cdot{}10^{-6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$ ] = 2\cdot{}10^{-6}$">|; 

$key = q/delta{}h_mathrm{per_AUslashGU};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$ \delta{}h_\mathrm{per_AU/GU}$">|; 

$key = q/displaystyleTm=78+16.6logfrac{[mbox{Na}^+]}{1+0.7[mbox{Na}^+]}+0.7%GC-frac{500}{size}-%Mismatching;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="448" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img185.png"
 ALT="$\displaystyle Tm = 78 + 16.6\log\frac{[\mbox{Na}^+]}{1+0.7[\mbox{Na}^+]} + 0.7\% GC - \frac{500}{size}
- \%Mismatching
$">|; 

1;

