Alternative Equation Formats

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MathML

g 1 = θ r V ( θ ) 1 r H 1 = 2 θ θ log { V ( θ ) } H 2 = 2 θ θ r V ( θ ) 1 r H 3 = 2 θ θ log { | X V ( θ ) 1 X | }

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mb{g}_1 & = \frac{\partial }{\partial \btheta }\, \mb{r}'\mb{V}(\btheta )^{-1}\mb{r} \\ \mb{H}_1 & = \frac{\partial ^2}{\partial \btheta \, \partial \btheta '} \, \log \{ \bV (\btheta )\} \\ \mb{H}_2 & = \frac{\partial ^2}{\partial \btheta \, \partial \btheta '} \, \mb{r}'\bV (\btheta )^{-1}\mb{r} \\ \mb{H}_3 & = \frac{\partial ^2}{\partial \btheta \, \partial \btheta '} \, \log \{ |\bX '\bV (\btheta )^{-1}\bX |\} \end{align*}