Alternative Equation Formats

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MathML

\begin{aligned} z_{i} & = \log {y_{i}} - μ_{i} \\ l (μ_{i}, ϕ; a, b, y_{i}, w_{i}) & = - \frac{1}{2} (2 \log {y_{i}} + \log {\frac{ϕ}{w_{i}}} + \log {2 π} + \frac{w_{i} z_{i}^{2}}{ϕ}) \\ - \log {Φ [\sqrt{w_{i} / ϕ} (\log b - μ_{i})] - Φ [\sqrt{w_{i} / ϕ} (\log a - μ_{i})]} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} z_ i & = \log \{ y_ i\} - \mu _ i \\ l(\mu _ i, \phi ; a, b, y_ i, w_ i) & = -\frac{1}{2}\left( 2\log \{ y_ i\} + \log \left\{ \frac{\phi }{w_ i} \right\} + \log \{ 2\pi \} + \frac{w_ i z_ i^2}{\phi } \right) \\ & - \log \left\{ \Phi \left[ \sqrt{w_ i/\phi }(\log b - \mu _ i) \right] - \Phi \left[ \sqrt{w_ i/\phi }(\log a - \mu _ i) \right]\right\} \end{align*}