Alternative Equation Formats

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MathML

l 1 ( ) = n 2 ln ( 2 π ) 1 2 ln ( | Σ x x | ) n 2 ln ( σ e 2 ) 1 2 σ e 2 ( X 1 μ x ) Σ x x 1 ( X 1 μ x )

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Math as LaTeX Source

\begin{equation*} \begin{split} l_{1}({\cdot }) = & - \frac{n}{2} {\ln }(2{\pi }) - \frac{1}{2} {\ln }(|{\Sigma }_{\Strong{xx} }|) - \frac{n}{2} {\ln }( {\sigma }^{2}_{\Strong{e} }) \\ & - \frac{1}{2 {\sigma }^{2}_{\Strong{e} }} (\Strong{X} -\Strong{1} {\mu }_{\Strong{x} })' {\Sigma }^{-1}_{\Strong{xx} }(\Strong{X} -\Strong{1} {\mu }_{\Strong{x} }) \end{split}\end{equation*}