Alternative Equation Formats

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MathML

\begin{array}{rcl} S^{(r)} (β, l, t) & = & \sum_{A} w_{h i j} y_{h i j} (t) {1 - \frac{l - 1}{d (t)} δ_{h i j} (t)} exp (β^{'} Z_{h i j} (t)) Z_{h i j}^{⨂ r} (t) \\ \bar{Z} (β, l, t) & = & \frac{S^{(1)} (β, l, t)}{S^{(0)} (β, l, t)} \\ d Λ_{0} (β, l, t) & = & \sum_{A} \frac{w_{h i j} d n_{h i j} (t)}{S^{(0)} (β, l, t)} \\ d M_{h i j} (β, l, t) & = & d n_{h i j} (t) - y_{h i j} (t) (1 - δ_{h i j} (t) \frac{l - 1}{d (t)}) exp (β^{'} Z_{h i j} (t)) d Λ_{0} (β, l, t) \end{array}

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Math as LaTeX Source

\begin{eqnarray*} S^{(r)}(\bbeta , l, t) & =& \sum _{A} w_{hij} y_{hij}(t) \biggl \{ 1- \frac{l-1}{d(t)} \delta _{hij}(t) \biggr \} \mbox{ exp} \left( \bbeta '\bZ _{hij}(t) \right) \bZ _{hij}^{\bigotimes r}(t)\\ \bar{\bZ }(\bbeta ,l,t) & =& \frac{ S^{(1)}(\bbeta ,l,t) }{ S^{(0)}(\bbeta ,l,t) } \\ d\Lambda _0(\bbeta ,l,t) & = & \sum _{A} \frac{w_{hij} dn_{hij}(t)}{S^{(0)}(\bbeta ,l,t)} \\ dM_{hij}(\bbeta ,l,t) & = & dn_{hij}(t) - y_{hij}(t) \biggl ( 1- \delta _{hij}(t) \frac{l-1}{d(t)} \biggr ) \mbox{ exp} \left(\bbeta ' \bZ _{hij}(t) \right) d\Lambda _0(\bbeta ,l,t) \end{eqnarray*}