Alternative Equation Formats

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MathML

\begin{aligned} {[H_{j}]}_{k l} & = \frac{\partial^{2} f_{j}}{\partial β_{k} \partial β_{l}} \\ {[U_{j}]}_{k l} & = \sum_{m n} B_{k m}^{'} {[H_{j}]}_{m n} B_{n l} \\ {[A_{j}]}_{k l} & = \sqrt{p \times m s e} \sum_{m} Q_{j m}^{'} {[U_{m}]}_{k l}, \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \left[\mb{H}_ j\right]_{kl} & = \frac{\partial ^2 \mb{f}_ j}{\partial \bbeta _ k \partial \bbeta _ l}\\ \left[\mb{U}_ j\right]_{kl} & = \sum _{mn} \mb{B}'_{km} \left[\mb{H}_ j\right]_{mn} \mb{B}_{nl} \\ \left[\mb{A}_ j\right]_{kl} & = \sqrt{p \times \mr{mse} }\sum _{m} \mb{Q}'_{jm} \left[\mb{U}_ m\right]_{kl}\, , \end{align*}