Alternative Equation Formats

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MathML

\begin{aligned} C o v T r a c e (β) & = | t r a c e (\hat{V a r} [\hat{β}]^{-} \tilde{V a r} [{\hat{β}}_{(U)}]) - r a n k (X) | \\ C o v R a t i o (β) & = \frac{{d e t}_{n s} (\tilde{V a r} [{\hat{β}}_{(U)}])}{{d e t}_{n s} (\hat{V a r} [\hat{β}])} \end{aligned}

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Math as LaTeX Source

\begin{align*} \mr{CovTrace}(\bbeta ) & = | \textup{trace} ( \widehat{\mr{Var}}[\widehat{\bbeta }]^{-} \, \, \widetilde{\mr{Var}}[\widehat{\bbeta }_{(U)}]) - \mr{rank}(\mb{X}) | \\ \mr{CovRatio}(\bbeta ) & = \frac{\mr{det}_{ns} (\widetilde{\mr{Var}}[\widehat{\bbeta }_{(U)}]) }{\mr{det}_{ns} (\widehat{\mr{Var}}[\widehat{\bbeta }]) } \end{align*}