Alternative Equation Formats

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MathML

l_{i} = {l l}_{i} = {\begin{cases} \log [ω_{i} + (1 - ω_{i}) (1 + \frac{k}{w_{i}} λ)^{- \frac{w_{i}}{k}}] & y_{i} = 0 \\ \log (1 - ω_{i}) + y_{i} \log (\frac{k λ}{w_{i}}) \\ - (y_{i} + \frac{w_{i}}{k}) \log (1 + \frac{k λ}{w_{i}}) \\ + \log (\frac{Γ (y_{i} + \frac{w_{i}}{k})}{Γ (y_{i} + 1) Γ (\frac{w_{i}}{k})}) & y_{i} > 0 \end{cases}

MathML rendered with MathJax

l_{i} = {l l}_{i} = {\begin{cases} \log [ω_{i} + (1 - ω_{i}) (1 + \frac{k}{w_{i}} λ)^{- \frac{w_{i}}{k}}] & y_{i} = 0 \\ \log (1 - ω_{i}) + y_{i} \log (\frac{k λ}{w_{i}}) \\ - (y_{i} + \frac{w_{i}}{k}) \log (1 + \frac{k λ}{w_{i}}) \\ + \log (\frac{Γ (y_{i} + \frac{w_{i}}{k})}{Γ (y_{i} + 1) Γ (\frac{w_{i}}{k})}) & y_{i} > 0 \end{cases}

Math as LaTeX Source

\[ l_ i = \mathit{ll}_ i = \left\{ \begin{array}{ll} \log [\omega _ i + (1-\omega _ i)(1+\frac{k}{w_ i}\lambda )^{-\frac{w_ i}{k}}] & y_ i=0 \\ \log (1-\omega _ i)+ y_ i\log \left(\frac{k\lambda }{w_ i} \right) & \\ -(y_ i+\frac{w_ i}{k})\log \left(1+\frac{k\lambda }{w_ i} \right) & \\ +\log \left(\frac{\Gamma (y_ i+\frac{w_ i}{k})}{\Gamma (y_ i+1)\Gamma (\frac{w_ i}{k})}\right) & y_ i>0 \\ \end{array} \right. \]