Alternative Equation Formats

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MathML

\frac{\partial \log \tilde{L} (θ | U)}{\partial θ_{j}} = \sum_{i = 1}^{N} [({\tilde{L}}_{i})^{- 1} \frac{\partial {\tilde{L}}_{i}}{\partial θ_{j}}] = \sum_{i = 1}^{N} [({\tilde{L}}_{i})^{- 1} \sum_{g = 1}^{G^{d}} [\frac{\partial f_{i} (x_{g})}{\partial θ_{j}} w_{g}^{*}]]

Math Rendered as SVG

Math as LaTeX Source

\begin{equation*} \frac{\partial \log \tilde{L}(\btheta |\mb{U})}{\partial \theta _ j} = \sum _{i=1}^ N \left[(\tilde{L}_ i)^{-1}\frac{\partial \tilde{L}_ i}{\partial \theta _ j}\right] =\sum _{i=1}^ N\left[(\tilde{L}_ i)^{-1}\sum _{g=1}^{G^ d}\left[\frac{\partial f_ i(\mb{x}_ g)}{\partial \theta _ j}w^{*}_ g\right]\right] \end{equation*}