Alternative Equation Formats

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MathML

\begin{array}{rcl} l_{n} (θ, σ) & = & - \sum_{t = 1}^{n} \ln (\frac{Γ (\frac{d f + m}{2})}{(π * d f)^{\frac{m}{2}} * Γ (\frac{d f}{2})} * {(1 + \frac{q_{t}^{'} Σ^{- 1} q_{t}}{d f})}^{- \frac{d f + m}{2}}) \\ + \frac{n}{2} * \ln (| Σ |) - \sum_{t = 1}^{n} \ln (| \frac{\partial q_{t}}{\partial y_{t}^{'}} |) \end{array}

MathML rendered with MathJax

\begin{array}{rcl} l_{n} (θ, σ) & = & - \sum_{t = 1}^{n} \ln (\frac{Γ (\frac{d f + m}{2})}{(π * d f)^{\frac{m}{2}} * Γ (\frac{d f}{2})} * {(1 + \frac{q_{t}^{'} Σ^{- 1} q_{t}}{d f})}^{- \frac{d f + m}{2}}) \\ + \frac{n}{2} * \ln (| Σ |) - \sum_{t = 1}^{n} \ln (| \frac{\partial q_{t}}{\partial y_{t}^{'}} |) \end{array}

Math as LaTeX Source

\begin{eqnarray*} \Strong{l}_{n}(\btheta , \bsigma ) & =& -\sum _{t=1}^ n \ln \left(\frac{ \Gamma ( \frac{df +m}{2} ) }{ ( \pi * df)^{\frac{m}{2}} * \Gamma ( \frac{df}{2} )} * \left( 1 + \frac{q_ t' \bSigma ^{-1} q_ t}{df} \right)^{-\frac{df+m}{2} } \right) \nonumber \\ & & + \frac{n}{2}*\ln \left(\left|\bSigma \right|\right) - \sum _{t=1}^ n \ln \left(\left|\frac{\partial q_ t}{ \partial y'_ t} \right| \right) \nonumber \end{eqnarray*}