Alternative Equation Formats

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MathML

l = n [ m log ( θ ) + log ( Γ ( 1 θ + m ) ) log ( Γ ( 1 θ ) ) ] ( θ + 1 ) i , j log u i j ( 1 θ + m ) i log ( j u i j θ m + 1 )

Math Rendered as SVG

Math as LaTeX Source

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