Alternative Equation Formats

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MathML

\begin{aligned} E ({\hat{u}}_{w}^{^{'}} Q_{0} {\hat{u}}_{w}) & = (M - N - K) σ_{e}^{2} \\ E ({\hat{u}}_{w}^{^{'}} P_{0} {\hat{u}}_{w}) & = (N - 1 + d) σ_{e}^{2} + (M - M^{- 1} \sum_{i = 1}^{N} T_{i}^{2}) σ_{ν}^{2} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} E\left(\hat{\mb{u}}_ w^{'} \mb{Q}_0 \hat{\mb{u}}_ w\right) & = (M - N - K) \sigma ^2_ e \\ E\left(\hat{\mb{u}}_ w^{'} \mb{P}_0 \hat{\mb{u}}_ w\right) & = (N -1 + d) \sigma ^2_ e + \left(M - M^{-1} \sum _{i = 1}^ N T_ i^2\right)\sigma ^2_\nu \end{align*}