Alternative Equation Formats

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MathML

\begin{array}{lll} R_{ρ} & = & \frac{Δ {\tilde{U}}^{'} Δ \tilde{U}}{Δ {\tilde{U}}^{'} F^{*} Δ \tilde{U}} \\ = & \frac{T \sum_{i = 1}^{N} \sum_{t = 2}^{T} Δ {\tilde{u}}_{i, t}^{2}}{\sum_{i = 1}^{N} \sum_{t = 2}^{T} (t - 1) (T - t + 1) Δ {\tilde{u}}_{i, t}^{2} + 2 \sum_{i = 1}^{N} \sum_{t = 2}^{T - 1} \sum_{t^{'} = t + 1}^{T} (T - t^{'} + 1) (t - 1) Δ {\tilde{u}}_{i, t} Δ {\tilde{u}}_{i, t^{'}}} \end{array}

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Math as LaTeX Source

\begin{equation*} \begin{array}{l l l} \mr{R}_{\rho } & = & \frac{\Delta \tilde{U}'\Delta \tilde{U}}{\Delta \tilde{U}'F^{*} \Delta \tilde{U}}\\ & = & \frac{T\sum _{i=1}^{N}\sum _{t=2}^{T}\Delta \tilde{u}_{i,t}^{2}}{\sum _{i=1}^{N}\sum _{t=2}^{T}\left(t-1\right) \left(T-t+1\right)\Delta \tilde{u}_{i,t}^{2}+2 \sum _{i=1}^{N}\sum _{t=2}^{T-1}\sum _{t'=t+1}^{T} \left(T-t'+1\right)\left(t-1\right)\Delta \tilde{u}_{i,t}\Delta \tilde{u}_{i,t'}} \end{array}\end{equation*}