Alternative Equation Formats

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MathML

\begin{array}{rcl} l_{n} (ϕ) & = & \frac{n g}{2} (1 + \ln (2 π)) - \sum_{t = 1}^{n} \ln (| \frac{\partial q (y_{t}, x_{t}, θ)}{\partial y_{t}} |) \\ + \frac{1}{2} \sum_{t = 1}^{n} \sum_{i = 1}^{g} (\ln (h_{t, i}) + q_{i} (y_{t}, x_{t}, θ)^{2} / h_{t, i}) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} l_ n(\phi ) & =& \frac{ng}{2}(1+\ln (2\pi )) - \sum _{t=1}^ n \ln \left( \left| \frac{\partial \Strong{q} (\Strong{y}_ t, \Strong{x}_ t, \theta )}{ \partial \Strong{y}_ t} \right| \right) \\ \nonumber & & + \frac{1}{2} \sum _{t=1}^ n \sum _{i=1}^ g \left( \ln ( h_{t,i}) + \Strong{q}_ i(\Strong{y}_ t, \Strong{x}_ t, \theta )^2 / h_{t,i} \right) \end{eqnarray*}