Alternative Equation Formats

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MathML

\begin{aligned} E ({\hat{u}}_{p}^{^{'}} Q_{0} {\hat{u}}_{p}) & = (d_{1} - d_{3}) σ_{ν}^{2} + (M - N - K - 1 + d_{2}) σ_{e}^{2} \\ E ({\hat{u}}_{p}^{^{'}} P_{0} {\hat{u}}_{p}) & = (M - 2 d_{1} + d_{3}) σ_{ν}^{2} + (N - d_{2}) σ_{e}^{2} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} E\left(\hat{\mb{u}}_ p^{'} \mb{Q}_0 \hat{\mb{u}}_ p\right) & = (d_1 - d_3) \sigma ^2_\nu + (M-N-K-1 + d_2) \sigma ^2_ e \\ E\left(\hat{\mb{u}}_ p^{'} \mb{P}_0 \hat{\mb{u}}_ p\right) & = (M - 2d_1 + d_3) \sigma ^2_\nu + (N-d_2) \sigma ^2_ e \end{align*}