Alternative Equation Formats

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MathML

∂ l ∂ Σ = − 1 2 ( Σ − 1 ) T + ν + m 2 Σ − T ζ ζ T Σ − T / ν 1 + ζ T Σ − 1 ζ / ν = − 1 2 ( Σ − 1 ) T + ν + m 2 Σ − T ζ ζ T Σ − T ν + ζ T Σ − 1 ζ

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \frac{\partial l}{\partial \Sigma }& = -\frac12 (\Sigma ^{-1})^ T +\frac{\nu +m}{2}\frac{\Sigma ^{-T}\zeta \zeta ^ T \Sigma ^{-T}/\nu }{1+ \zeta ^ T \Sigma ^{-1}\zeta /\nu }\\ & =-\frac12 (\Sigma ^{-1})^ T +\frac{\nu +m}{2}\frac{\Sigma ^{-T}\zeta \zeta ^ T \Sigma ^{-T}}{\nu + \zeta ^ T \Sigma ^{-1}\zeta } \end{align*}
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