Alternative Equation Formats

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MathML

\begin{array}{rcl} F_{F I M L} & = & \frac{- 2 L}{N} \\ = & \frac{1}{N} \sum_{j = 1}^{n} (\ln (| Σ |) + (x_{j} - μ)^{'} Σ^{- 1} (x_{j} - μ) + K) \\ = & \ln (| Σ |) + T r (S_{N} Σ^{- 1}) + (\bar{x} - μ)^{'} Σ^{- 1} (\bar{x} - μ) + K \end{array}

MathML rendered with MathJax

\begin{array}{rcl} F_{F I M L} & = & \frac{- 2 L}{N} \\ = & \frac{1}{N} \sum_{j = 1}^{n} (\ln (| Σ |) + (x_{j} - μ)^{'} Σ^{- 1} (x_{j} - μ) + K) \\ = & \ln (| Σ |) + T r (S_{N} Σ^{- 1}) + (\bar{x} - μ)^{'} Σ^{- 1} (\bar{x} - μ) + K \end{array}

Math as LaTeX Source

\begin{eqnarray*} F_{\mathit{FIML}} & = & \frac{-2L}{N} \\ & = & \frac{1}{N}\sum _{j=1}^ n (\ln (|\bSigma |) + (\mb{x}_ j - \bmu )^{\prime }\bSigma ^{-1}(\mb{x}_ j - \bmu ) + K)\\ & = & \ln (|\bSigma |) + \mr{Tr}(\mb{S_ N} \bSigma ^{-1}) + (\mb{\bar{x}} - \bmu )^{\prime }\bSigma ^{-1}(\mb{\bar{x}} - \bmu ) + K \end{eqnarray*}