Alternative Equation Formats

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MathML

\begin{aligned} R (ν) & = y^{^{'}} Z_{0} (Z_{0}^{^{'}} Z_{0})^{- 1} Z_{0}^{^{'}} y \\ R (β | ν) & = y_{w}^{^{'}} X_{w}^{^{'}} (X_{w}^{^{'}} X_{w})^{- 1} X_{w}^{^{'}} y_{w} \\ R (β) & = y^{^{'}} X_{α}^{^{'}} (X_{α}^{^{'}} X_{α})^{- 1} X_{α}^{^{'}} y \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mi{R}({\bnu }) & =\mb{y} ^{'}\mb{Z} _{0}( \mb{Z} ^{'}_{0}\mb{Z} _{0})^{-1} \mb{Z} ^{'}_{0}\mb{y} \\ \mi{R}({\bbeta }|{\bnu })& = \mb{y}_ w^{'} \mb{X}_ w^{'} (\mb{X}^{'}_ w \mb{X}_ w)^{-1} \mb{X}^{'}_ w\mb{y}_ w \\ \mi{R}({\bbeta })& =\mb{y}^{'}\mb{X}_\alpha ^{'} (\mb{X}_\alpha ^{'}\mb{X}_\alpha ) ^{-1}\mb{X}_\alpha ^{'}\mb{y} \end{align*}