Alternative Equation Formats

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MathML

\begin{aligned} l_{0} (\cdot) = & - \frac{n}{2} \ln (2 π) - \frac{1}{2} \ln (| Σ_{y y} |) - \frac{n}{2} \ln (σ_{e}^{2}) \\ - \frac{1}{2 σ_{e}^{2}} (Y - 1 μ_{y})^{'} Σ_{y y}^{- 1} (Y - 1 μ_{y}) - \sum_{t = 1}^{n} \ln (X_{t} + c) \end{aligned}

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Math as LaTeX Source

\begin{equation*} \begin{split} l_{0}({\cdot }) = & - \frac{n}{2} {\ln }(2{\pi }) - \frac{1}{2} {\ln }(|{\Sigma }_{\Strong{yy} }|) - \frac{n}{2} {\ln }( {\sigma }^{2}_{\Strong{e} }) \\ & - \frac{1}{2 {\sigma }^{2}_{\Strong{e} }} (\Strong{Y} -\Strong{1} {\mu }_{\Strong{y} })' {\Sigma }^{-1}_{\Strong{yy} }(\Strong{Y} -\Strong{1} {\mu }_{\Strong{y} }) - \sum _{t=1}^{n}{{\ln }(X_{t}+c)} \end{split}\end{equation*}