Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{aligned} E ({\hat{u}}_{p}^{^{'}} P {\hat{u}}_{p}) & = d_{11} σ_{e}^{2} + d_{12} σ_{ν}^{2} + d_{13} σ_{λ}^{2} \\ E ({\hat{u}}_{p}^{^{'}} P_{λ} {\hat{u}}_{p}) & = d_{21} σ_{e}^{2} + d_{22} σ_{ν}^{2} + d_{23} σ_{λ}^{2} \\ E ({\hat{u}}_{p}^{^{'}} P_{ν} {\hat{u}}_{p}) & = d_{31} σ_{e}^{2} + d_{32} σ_{ν}^{2} + d_{33} σ_{λ}^{2} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} E\left(\hat{\mb{u}}_ p^{'} \mb{P} \hat{\mb{u}}_ p\right) & = d_{11} \sigma ^2_ e + d_{12} \sigma ^2_\nu + d_{13}\sigma ^2_\lambda \\ E\left(\hat{\mb{u}}_ p^{'} \mb{P}_\lambda \hat{\mb{u}}_ p\right) & = d_{21} \sigma ^2_ e + d_{22} \sigma ^2_\nu + d_{23}\sigma ^2_\lambda \\ E\left(\hat{\mb{u}}_ p^{'} \mb{P}_\nu \hat{\mb{u}}_ p\right) & = d_{31} \sigma ^2_ e + d_{32} \sigma ^2_\nu + d_{33}\sigma ^2_\lambda \end{align*}