Alternative Equation Formats

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MathML

\begin{array}{rcl} \frac{\partial l_{n}}{\partial d f} & = & \frac{n m}{2 d f} - \frac{n}{2} \frac{Γ^{'} (\frac{d f + m}{2})}{Γ (\frac{d f + m}{2})} + \frac{n}{2} \frac{Γ^{'} (\frac{d f}{2})}{Γ (\frac{d f}{2})} + \\ 0.5 \log (1 + \frac{q^{'} Σ^{- 1} q}{d f}) - \frac{0.5 (d f + m)}{(1 + \frac{q^{'} Σ^{- 1} q}{d f})} \frac{q^{'} Σ^{- 1} q}{d f^{2}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \frac{\partial l_ n}{\partial df} & =& \frac{n m}{2 ~ df} - \frac{n}{2} \frac{\Gamma '( \frac{df +m}{2})}{\Gamma ( \frac{df +m}{2})} + \frac{n}{2} \frac{ \Gamma '( \frac{df}{2} )}{\Gamma ( \frac{df}{2} )} + \nonumber \\ & & 0.5 \log (1+\frac{\Strong{q} '\bSigma ^{-1} \Strong{q} }{df}) - \frac{0.5 (df + m)}{(1 +\frac{\Strong{q} '\bSigma ^{-1} \Strong{q} }{df})} \frac{\Strong{q} '\bSigma ^{-1} \Strong{q} }{df^2} \nonumber \end{eqnarray*}