Alternative Equation Formats

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MathML

\begin{array}{rcl} Δ_{h i} β & = & β^{0} - β_{h i}^{1} \\ = & - {\hat{Λ}}^{- 1} (β^{0}) \hat{g} (β^{0}) \\ = & - {\hat{Λ}}^{- 1} (\hat{β}) (X^{'} \hat{U} z_{h i}) M^{- 1} z_{h i}^{'} (y - \hat{π}) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \Delta _{hi}\bbeta & =& {\bbeta }^0 - {\bbeta }^1_{hi} \\ & =& -\widehat{\bLambda }^{-1}({\bbeta }^0)\widehat{\mb{g}}({\bbeta }^0) \\ & =& -\widehat{\bLambda }^{-1}({\widehat{\bbeta }})(\bX '\widehat{\bU }\mb{z}_{hi}) \bM ^{-1} \mb{z}_{hi}'(\mb{y}-{\widehat{\bpi }}) \end{eqnarray*}