Subsections

The correlation time Hessians of the ellipsoid

τm - τm partial derivative

The second partial derivatives with respect to the geometric parameter τm twice are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{{\partial \tau_m}^...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}.
\end{align}\end{subequations}

τm - $\mathfrak{D}_a$ partial derivative

The second partial derivatives with respect to the geometric parameters τm and $\mathfrak{D}_a$ are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{\partial \tau_m \c...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}.
\end{align}\end{subequations}

τm - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameters τm and $\mathfrak{D}_r$ are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{\partial \tau_m \c...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}.
\end{align}\end{subequations}

$\mathfrak{D}_a$ - $\mathfrak{D}_a$ partial derivative

The second partial derivatives with respect to the geometric parameter $\mathfrak{D}_a$ twice are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{{\partial \mathfra...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}.
\end{align}\end{subequations}

$\mathfrak{D}_a$ - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameters $\mathfrak{D}_a$ and $\mathfrak{D}_r$ are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{\partial \mathfrak...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}.
\end{align}\end{subequations}

$\mathfrak{D}_r$ - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameter $\mathfrak{D}_r$ twice are

\begin{subequations}\begin{align}
\frac{\partial^2 \tau_{-2}}{{\partial \mathfra...
...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}.
\end{align}\end{subequations}

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