Alternative Equation Formats

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MathML

\begin{aligned} e_{p} & = (I_{n} - P_{x h}) e \\ E [e_{i}] & = - \frac{σ^{2}}{2} \sum_{j = 1}^{n} {\tilde{P}}_{x, i j} Tr ([H_{j}] {(X^{'} X)}^{- 1}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mb{e}_{p} & = \left(\mb{I}_ n - \mb{P}_{xh}\right)\mb{e}\, \\ \mr{E} \left[\mb{e}_ i\right] & = -\frac{\sigma ^2}{2}\, \sum ^{n}_{j=1} \tilde{\mb{P}}_{x,\, ij} \text {Tr}\left(\, \left[\mb{H}_ j\right] \, \left(\mb{X}'\mb{X}\right)^{-1}\, \right) \end{align*}