Alternative Equation Formats

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MathML

\begin{aligned} \frac{d l}{d θ} & = n [\frac{m}{θ} + g (\frac{1}{θ} + m) \frac{- 1}{θ^{2}} - g (\frac{1}{θ}) \frac{- 1}{θ^{2}}] \\ - \sum_{i, j} \log (u_{i j}) + \frac{1}{θ^{2}} \sum_{i} \log (\sum_{j} u_{i j}^{- θ} - m + 1) \\ - (\frac{1}{θ} + m) \sum_{i} \frac{- \sum_{j} u_{i j}^{- θ} \log (u_{i j})}{\sum_{j} u_{i j}^{- θ} - m + 1} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \frac{d l}{d \theta } & = n \left[ \frac{m}{\theta }+ g\left(\frac{1}{\theta }+m\right) \frac{-1}{\theta ^2}- g\left(\frac{1}{\theta }\right)\frac{-1}{\theta ^2}\right] \\ & - \sum _{i,j} \log (u_{ij}) +\frac{1}{\theta ^2} \sum _ i \log \left( \sum _ j u_{ij} ^{-\theta } -m +1 \right) \\ & -\left(\frac{1}{\theta }+m \right) \sum _ i \frac{- \sum _ j u_{ij}^{-\theta }\log (u_{ij})}{\sum _ j u_{ij}^{-\theta } - m +1}\\ \end{align*}