Alternative Equation Formats

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MathML

\begin{array}{lll} \log L (θ | U, η) & = & \sum_{i = 1}^{N} [\sum_{j = 1}^{J} \sum_{k = 1}^{K} v_{i j k} \log P_{i j k} + \log ϕ (η_{i}; μ, Σ)] \\ = & \sum_{j = 1}^{J} \sum_{i = 1}^{N} [\sum_{k = 1}^{K} v_{i j k} \log P_{i j k}] + \sum_{i = 1}^{N} \log ϕ (η_{i}; μ, Σ) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{lll} \log L(\btheta |\mb{U},\bm {\eta }) & =& \sum \limits _{i=1}^ N\left[\sum \limits _{j=1}^ J\sum \limits _{k=1}^ K v_{ijk}\log P_{ijk} + \log \phi (\bm {\eta }_ i;\bmu ,\bSigma ) \right]\\ & =& \sum \limits _{j=1}^ J\sum \limits _{i=1}^ N\left[\sum \limits _{k=1}^ K v_{ijk}\log P_{ijk}\right] + \sum \limits _{i=1}^ N \log \phi (\bm {\eta }_ i;\bmu ,\bSigma ) \end{array} \]