Alternative Equation Formats

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MathML

log L ~ ( θ | U ) = i = 1 N log [ g = 1 G d [ j = 1 J k = 1 K ( P i j k ( x g ) ) v i j k ϕ ( x g ; μ , Σ ) ϕ ( x g ; 0 , I ) ] w g ]

Math Rendered as SVG

Math as LaTeX Source

\[ \log \tilde{L}(\btheta |U) = \sum _{i=1}^ N \log \left[ \sum _{g=1}^{G^ d}\left[\prod _{j=1}^ J \prod _{k=1}^ K(P_{ijk}(\mb{x}_ g))^{v_{ijk}} \frac{\phi (\mb{x}_ g;\bmu ,\bSigma )}{\phi (\mb{x}_ g;0,I)}\right]w_ g\right] \]