Alternative Equation Formats

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MathML

\begin{array}{rcl} \frac{\partial p_{o} (Y = i | x)}{\partial β} = & {\begin{cases} F^{'} (α_{1} + x^{'} β_{s}) δ_{1} (x) & i = 1 \\ F^{'} (α_{i} + x^{'} β_{s}) δ_{i} (x) - F^{'} (α_{i - 1} + x^{'} β_{s}) δ_{i - 1} (x) & i = 2, \dots, k \\ - F^{'} (α_{k} + x^{'} β_{s}) δ_{k} (x) & i = k + 1 \end{cases} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \frac{\partial p_ o(Y=i|\mb{x})}{\partial {\bbeta }} = & \left\{ \begin{array}{ll} F'(\alpha _{1}+\mb{x}'{\bbeta _{s}})\bdelta _1(\mb{x}) & i=1 \\ F'(\alpha _{i}+\mb{x}'{\bbeta _{s}})\bdelta _ i(\mb{x}) - F'(\alpha _{i-1}+\mb{x}'{\bbeta _{s}})\bdelta _{i-1}(\mb{x}) & i=2,\ldots ,k \\ -F'(\alpha _{k}+\mb{x}'{\bbeta _{s}})\bdelta _{k}(\mb{x}) & i=k+1 \end{array} \right. \end{eqnarray*}