Alternative Equation Formats

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MathML

\begin{aligned} l (θ, p) & = - \frac{1}{2} \log | V (θ) | - \frac{1}{2} r^{'} V (θ)^{- 1} r - \frac{f}{2} \log {2 π} \\ l_{R} (θ, p) & = - \frac{1}{2} \log | V (θ) | - \frac{1}{2} r^{'} V (θ)^{- 1} r - \frac{1}{2} \log | X^{'} V (θ)^{- 1} X | - \frac{f - k}{2} \log {2 π} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(\btheta ,\mb{p}) & = -\frac12 \log |\mb{V}(\btheta )| -\frac{1}{2} \mb{r}'\mb{V}(\btheta )^{-1}\mb{r} -\frac{f}{2}\log \{ 2\pi \} \\ l_ R(\btheta ,\mb{p}) & = -\frac12 \log |\mb{V}(\btheta )| -\frac{1}{2} \mb{r}'\mb{V}(\btheta )^{-1}\mb{r} -\frac12 \log |\mb{X}'\mb{V}(\btheta )^{-1}\mb{X}| -\frac{f-k}{2}\log \{ 2\pi \} \end{align*}