...data.
\begin{eqnarray}
\bf {T_0}{(\omega_{\!},s_0)}=\left[ \matrix {
{0} & 0 & 0 &...&...
 ...eft[ \matrix{
f~d \cr 0 \cr 0 \cr...\cr 0 \cr
} \right]
\nonumber \end{eqnarray}
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...frequencies.
\begin{eqnarray}
\mathcal T_0=\left( \matrix {
{\bf {T_0}{(\omega_{1},s_0)} } & ...
 .....\cr \bf {D}{(\omega_{N_{\omega_{\!}}})} \cr
} \right)
\nonumber \end{eqnarray}
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...level.
\begin{eqnarray}
\mathcal H=\left( \left\vert \matrix {
{1} & 0 &...& 0 \cr
 0 &...
 ..._0^{1} \cr \i_0^{2} \cr ...\cr \i_0^{N_z} \cr
} \right)
\nonumber \end{eqnarray}
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...levels.
\begin{eqnarray}
\Delta \bf{U}=\left[ \matrix{
\Delta u^{1}\cr \Delta u^{2}\cr \...
 ...}\cr \Delta s^{3}\cr...\cr \Delta s^{N_z} \cr
} \right]
\nonumber \end{eqnarray}
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...dispersion.
\begin{eqnarray}
\Delta \mathcal U= \left( \matrix{
\Delta \bf{U}{(\omega_{1})} ...
 ...cr \Delta \bf{\S}\cr ...\cr \Delta \bf{\S}\cr
} \right)
\nonumber \end{eqnarray}
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...z.
\begin{eqnarray}
\Delta \mathcal R=\left( \matrix{
\Delta \i^{1} \cr \Delta \i^{2} \cr ...\cr \Delta \i^{N_z} \cr
} \right)
\nonumber \end{eqnarray}
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...$\widehat {\bf{U_0}}$).
\begin{eqnarray}
\bf{U_0}= \left[ \matrix{
u_0^{1}\cr u_0^{2}\cr u_0^{3}\cr...\c...
 .....& ... \cr
 0 & 0 & 0 &...& {u_0^{N_z} } \cr
} \right]
\nonumber \end{eqnarray}
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...$\widehat{\mathcal U_0}$).
\begin{eqnarray}
\mathcal U_0= \left( \matrix{
\bf{U_0}{(\omega_{1})} \cr \bf{U_...
 ... {\bf{U_0}}{(\omega_{N_{\omega_{\!}}})} } \cr
} \right)
\nonumber \end{eqnarray}
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Stanford Exploration Project
6/1/1999