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fix_nh1.tex
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Sun, Jul 28, 18:34
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text/x-tex
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Tue, Jul 30, 18:34 (2 d)
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rLAMMPS lammps
fix_nh1.tex
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\documentclass
[24pt]
{
article
}
\pagestyle
{
empty
}
\Huge
\begin
{
document
}
\mathchardef\mhyphen
="2D
% The imaginary unit
\providecommand*
{
\iu
}
%
{
\ensuremath
{{
\rm
i
}}}
$$
\exp
\left
(
\iu
{} L
\Delta
t
\right
)
=
\exp
\left
(
\iu
{} L_{
\rm
T
\mhyphen
baro}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
\rm
T
\mhyphen
part}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
\epsilon
,
2
}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
2
}^{
(
2
)
}
\frac
{
\Delta
t}{
2
}
\right
)
$$
$$
\times
\left
[
\exp
\left
(
\iu
{} L_{
2
}^{
(
1
)
}
\frac
{
\Delta
t}{
2
n}
\right
)
\exp
\left
(
\iu
{} L_{
\epsilon
,
1
}
\frac
{
\Delta
t}{n}
\right
)
\exp
\left
(
\iu
{} L_
1
\frac
{
\Delta
t}{n}
\right
)
\exp
\left
(
\iu
{} L_{
2
}^{
(
1
)
}
\frac
{
\Delta
t}{
2
n}
\right
)
\right
]
^n
$$
$$
\exp
\left
(
\iu
{} L_{
2
}^{
(
2
)
}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
\epsilon
,
2
}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
\rm
T
\mhyphen
part}
\frac
{
\Delta
t}{
2
}
\right
)
\exp
\left
(
\iu
{} L_{
\rm
T
\mhyphen
baro}
\frac
{
\Delta
t}{
2
}
\right
)
+
\mathcal
{O}
\left
(
\Delta
t^
3
\right
)
$$
\end
{
document
}
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