Alternative Equation Formats

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MathML

\begin{array}{rcl} \hat{p_{o}} (Y \leq i | x) & = & F ({\hat{η}}_{i}) i = 1, \dots, k \\ \hat{p_{o}} (Y \leq k + 1 | x) & = & 1 \\ \frac{\partial p_{o} (Y \leq i | x)}{\partial β} & = & F^{'} (α_{i} + x^{'} β_{s}) δ_{i} (x) i = 1, \dots, k \\ \frac{\partial p_{o} (Y \leq k + 1 | x)}{\partial β} & = & 0 \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \widehat{p_ o}(Y\le i|\mb{x}) & =& F(\hat{\eta }_ i) \quad i=1,\ldots , k \\ \widehat{p_ o}(Y\le k+1|\mb{x}) & =& 1 \\ \frac{ \partial p_ o(Y\le i|\mb{x}) }{\partial \bbeta } & =& F'(\alpha _{i}+\mb{x}' \bbeta _{s})\delta _ i(\mb{x}) \quad i=1,\ldots , k \\ \frac{ \partial p_ o(Y\le k+1|\mb{x}) }{\partial \bbeta } & =& 0 \end{eqnarray*}