Alternative Equation Formats

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MathML

\begin{aligned} z_{i} & = - 0.5 \log {ϕ / w_{i}} + \log {Γ (0.5 (ν + 1)} \\ - \log {Γ (0.5 ν)} - 0.5 \times \log {π ν} \\ l (μ_{i}, ϕ; y_{i}, w_{i}) & = - (\frac{ν + 1}{2}) \log {1 + \frac{w_{i}}{ν} \frac{(y_{i} - μ_{i})^{2}}{ϕ}} + z_{i} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} z_ i & = -0.5\log \{ \phi /{w_ i}\} + \log \left\{ \Gamma (0.5(\nu +1)\right\} \\ & - \log \left\{ \Gamma (0.5\nu )\right\} - 0.5\times \log \left\{ \pi \nu \right\} \\ l(\mu _ i,\phi ;y_ i,w_ i) & = - \left(\frac{\nu +1}{2}\right) \log \left\{ 1+\frac{w_ i}{\nu } \frac{(y_ i-\mu _ i)^2}{\phi }\right\} + z_ i \end{align*}