Alternative Equation Formats

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MathML

\begin{aligned} z & = \log {Γ (n_{i} + 1)} - \log {Γ (y_{i} + 1)} - \log {Γ (n_{i} - y_{i} + 1)} \\ μ_{i}^{*} & = (1 - μ_{i}) π \\ l (μ_{i}, π; y_{i}) & = \log {π} + z + y_{i} \log {μ_{i}^{*} + μ_{i}} \\ + (n_{i} - y_{i}) \log {1 - μ_{i}^{*} - μ_{i}} \\ + \log {1 - π} + z + y_{i} \log {μ_{i}^{*}} \\ + (n_{i} - y_{i}) \log {1 - μ_{i}^{*}} \\ l (μ_{i}, π; y_{i}, w_{i}) & = w_{i} l (μ_{i}, π; y_{i}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} z & = \log \{ \Gamma (n_ i+1)\} - \log \{ \Gamma (y_ i+1)\} - \log \{ \Gamma (n_ i-y_ i+1)\} \\ \mu ^*_ i & = (1-\mu _ i)\pi \\ l(\mu _ i,\pi ;y_ i) & = \log \{ \pi \} + z + y_ i\log \{ \mu _ i^* + \mu _ i\} \\ & + (n_ i - y_ i)\log \{ 1 - \mu _ i^* - \mu _ i\} \\ & + \log \{ 1-\pi \} + z + y_ i\log \{ \mu _ i^*\} \\ & + (n_ i - y_ i)\log \{ 1-\mu _ i^*\} \\ l(\mu _ i,\pi ;y_ i,w_ i) & = w_ i l(\mu _ i,\pi ;y_ i) \end{align*}