Alternative Equation Formats

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MathML

\begin{array}{rcl} \frac{\partial I (β)}{\partial β_{r}} & = & \sum_{k = 1}^{K} \sum_{h i j \in D_{k}} {\tilde{w}}_{h i j} {[\frac{Q_{k r}^{(2)} (β)}{S_{k}^{(0)} (β)} - \frac{Q_{k r}^{(0)} (β)}{S_{k}^{(0)} (β)} \frac{S_{k}^{(2)} (β)}{S_{k}^{(0)} (β)}] \\ - [\frac{Q_{k r}^{(1)} (β)}{S_{k}^{(0)} (β)} - \frac{Q_{k r}^{(0)} (β)}{S_{k}^{(0)} (β)} \frac{S_{k}^{(1)} (β)}{S_{k}^{(0)} (β)}] [\frac{S_{k}^{(1)} (β)}{S_{k}^{(0)} (β)}]^{'} \\ - [\frac{S_{k}^{(1)} (β)}{S_{k}^{(0)} (β)}] [\frac{Q_{k r}^{(1)} (β)}{S_{k}^{(0)} (β)} - \frac{Q_{k r}^{(0)} (β)}{S_{k}^{(0)} (β)} \frac{S_{k}^{(1)} (β)}{S_{k}^{(0)} (β)}]^{'}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \frac{\partial \mc{I}(\bbeta )}{\partial \beta _ r} & =& \sum _{k=1}^ K \sum _{hij \in \mc{D}_ k} \tilde{w}_{hij} \biggl \{ \qquad \qquad \qquad \biggl [ \frac{\mb{Q}_{kr}^{(2)}(\bbeta )}{S_ k^{(0)}(\bbeta )} - \frac{\mb{Q}_{kr}^{(0)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \frac{\mb{S}_{k}^{(2)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \biggl ] \\ & & \; \qquad \qquad \qquad \qquad \qquad \qquad - \biggl [ \frac{\mb{Q}_{kr}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} - \frac{\mb{Q}_{kr}^{(0)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \frac{\mb{S}_{k}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \biggl ] \biggl [\frac{\mb{S}_{k}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \biggl ]' \\ & & \qquad \qquad \qquad \qquad - \biggl [\frac{\mb{S}_{k}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \biggl ] \biggl [ \frac{\mb{Q}_{kr}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} - \frac{\mb{Q}_{kr}^{(0)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \frac{\mb{S}_{k}^{(1)}(\bbeta )}{S_ k^{(0)}(\bbeta )} \biggl ]' \qquad \qquad \biggr \} \end{eqnarray*}