Alternative Equation Formats

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MathML

\begin{array}{rcl} - \frac{\partial^{2} l (\hat{α}, \hat{β})}{\partial α^{2}} & = & D (e^{{\hat{α}}_{j}} S_{j}^{0} (\hat{β}), \dots, e^{{\hat{α}}_{J}} S_{J}^{0} (\hat{β}))) \\ - \frac{\partial^{2} l (\hat{α}, \hat{β})}{\partial β^{2}} & = & \sum_{j = 1}^{J} e^{{\hat{α}}_{j}} S_{j}^{(2)} (\hat{β}) \\ - \frac{\partial^{2} l (\hat{α}, \hat{β})}{\partial α \partial β} & = & (e^{{\hat{α}}_{j}} S_{1}^{(1)} (\hat{β}), \dots, e^{{\hat{α}}_{j}} S_{J}^{(1)} (\hat{β})) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} -\frac{\partial ^2l(\hat{\balpha },\hat{\bbeta })}{\partial \balpha ^2} & =& \mc{D} \biggl (\mr{e}^{\hat{\alpha }_ j}S_ j^{0}(\hat{\bbeta }),\ldots , \mr{e}^{\hat{\alpha }_ J}S_ J^{0}(\hat{\bbeta })) \biggr ) \\ -\frac{\partial ^2l(\hat{\balpha },\hat{\bbeta })}{\partial \bbeta ^2} & =& \sum _{j=1}^ J \mr{e}^{\hat{\alpha }_ j} \bS _ j^{(2)}(\hat{\bbeta }) \\ -\frac{\partial ^2l(\hat{\balpha },\hat{\bbeta })}{\partial \balpha \partial \bbeta } & =& (\mr{e}^{\hat{\alpha }_ j}\bS ^{(1)}_1(\hat{\bbeta }), \ldots , \mr{e}^{\hat{\alpha }_ j}\bS ^{(1)}_ J(\hat{\bbeta })) \end{eqnarray*}