Alternative Equation Formats

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MathML

\begin{array}{rcl} ℓ & = & - \frac{T}{2} \log | Σ | - \frac{1}{2} \sum_{t = 1}^{T} ϵ_{t}^{'} Σ^{- 1} ϵ_{t} \\ = & - \frac{T}{2} \log | Σ | - \frac{1}{2} w^{'} Θ^{' - 1} (I_{T} \otimes Σ^{- 1}) Θ^{- 1} w \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \ell & =& -\frac{T}{2} \log |\Sigma | -\frac{1}{2}\sum _{t=1}^ T \bepsilon _{t}'\Sigma ^{-1}\bepsilon _{t} \\ & =& -\frac{T}{2} \log |\Sigma |-\frac{1}{2}\mb{w} '\Theta '^{-1} (I_ T\otimes \Sigma ^{-1})\Theta ^{-1}\mb{w} \end{eqnarray*}