Alternative Equation Formats

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MathML

\begin{aligned} l (μ_{i}, ϕ; y_{i}) & = \log {Γ (n_{i} + 1)} + \log {Γ (ϕ)} + \sum_{j = 1}^{M} \log {Γ (y_{i j} + ϕ μ_{i j})} \\ - \sum_{j = 1}^{M} \log {Γ (y_{i j} + 1)} - \sum_{j = 1}^{M} \log {Γ (ϕ μ_{i j})} - \log {Γ (\sum_{j = 1}^{M} [y_{i j} + ϕ μ_{i j}])} \\ l (μ_{i}, ϕ; y_{i}, w_{i}) & = w_{i} l (μ_{i}, ϕ; y_{i}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(\bmu _ i,\phi ;\mb{y}_ i) & = \log \{ \Gamma (n_ i + 1) \} + \log \{ \Gamma (\phi )\} + \sum _{j=1}^ M \log \{ \Gamma (y_{ij} + \phi \mu _{ij}) \} \\ & - \sum _{j=1}^ M \log \{ \Gamma (y_{ij}+1) \} - \sum _{j=1}^ M \log \{ \Gamma (\phi \mu _{ij}) \} - \log \{ \Gamma (\sum _{j=1}^ M [ y_{ij} + \phi \mu _{ij}] ) \} \\ l(\bmu _ i,\phi ;\mb{y}_ i,w_ i) & = w_ i l(\bmu _ i,\phi ; \mb{y}_ i) \\ \end{align*}