Alternative Equation Formats

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MathML

\begin{array}{rcl} U (β) & \equiv & (U (β_{1}), \dots, U (β_{p}))^{'} \\ = & \frac{\partial l (β)}{\partial β} \\ = & \sum_{k = 1}^{K} {\sum_{h i j \in D_{k}} {\tilde{w}}_{h i j} Z_{h i j} (t_{k}) - \sum_{h i j \in D_{k}} {\tilde{w}}_{h i j} \frac{S_{k}^{(1)} (β)}{S_{k}^{0} (β)}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mb{U}(\bbeta ) & \equiv & (U(\beta _1), \ldots , U(\beta _ p))' \\ & =& \frac{\partial l(\bbeta )}{\partial \bbeta } \\ & =& \sum _{k=1}^ K \biggl \{ \sum _{hij \in \mc{D}_ k} \tilde{w}_{hij}\bZ _{hij} (t_ k) - \sum _{hij \in \mc{D}_ k} \tilde{w}_{hij} \frac{\mb{S}_ k^{(1)}(\bbeta )}{S_ k^{0}(\bbeta )} \biggl \} \end{eqnarray*}