Alternative Equation Formats

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MathML

\begin{aligned} M L : l (G, R) & = - \frac{1}{2} \log | V | - \frac{1}{2} r^{'} V^{- 1} r - \frac{n}{2} \log (2 π) \\ R E M L : l_{R} (G, R) & = - \frac{1}{2} \log | V | - \frac{1}{2} \log | X^{'} V^{- 1} X | - \frac{1}{2} r^{'} V^{- 1} r - \frac{n - p}{2} \log (2 π)} \end{aligned}

MathML rendered with MathJax

\begin{aligned} M L : l (G, R) & = - \frac{1}{2} \log | V | - \frac{1}{2} r^{'} V^{- 1} r - \frac{n}{2} \log (2 π) \\ R E M L : l_{R} (G, R) & = - \frac{1}{2} \log | V | - \frac{1}{2} \log | X^{'} V^{- 1} X | - \frac{1}{2} r^{'} V^{- 1} r - \frac{n - p}{2} \log (2 π)} \end{aligned}

Math as LaTeX Source

\begin{align*} \mr{ML:} \; \; \; \; \; \; l(\mb{G},\mb{R}) & = -\frac{1}{2} \log |\mb{V}| - \frac{1}{2} \Strong{r} '\mb{V}^{-1}\Strong{r} - \frac{n}{2} \log (2 \pi ) \\ \mr{REML:} \; \; \; l_ R(\mb{G},\mb{R}) & = -\frac{1}{2} \log |\mb{V}| - \frac{1}{2} \log |\mb{X}'\mb{V}^{-1}\mb{X}| - \frac{1}{2} \Strong{r} '\mb{V}^{-1}\Strong{r} - \frac{n-p}{2} \log (2 \pi )\} \end{align*}