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fix_nh1.tex
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Mon, Nov 11, 22:54
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text/x-tex
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Wed, Nov 13, 22:54 (2 d)
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rLAMMPS lammps
fix_nh1.tex
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This document is not UTF8. It was detected as Shift JIS and converted to UTF8 for display.
\documentclass
[24pt]
{
article
}
\pagestyle
{
empty
}
\Huge
\begin
{
document
}
\mathchardef\mhyphen
="2D
% The imaginary unit
\providecommand*
{
\iu
}
%
{
\ensuremath
{{
\rm
i
}}}
\begin
{
eqnarray*
}
\exp
\left
(
\iu
{}
L
\Delta
t
\right
)
&
=
&
ハ
\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
}{
2n
}
\right
)
\exp
\left
(
\iu
{}
L
_{
\epsilon
, 1
}
\frac
{
\Delta
t
}{
2n
}
\right
)
\exp
\left
(
\iu
{}
L
_
1
\frac
{
\Delta
t
}{
n
}
\right
)
\exp
\left
(
\iu
{}
L
_{
\epsilon
, 1
}
\frac
{
\Delta
t
}{
2n
}
\right
)
\exp
\left
(
\iu
{}
L
_{
2
}^{
(1)
}
\frac
{
\Delta
t
}{
2n
}
\right
)
\right
]
^
n
\\
&&
\times
\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
{
eqnarray*
}
\end
{
document
}
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