Alternative Equation Formats

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MathML

\begin{aligned} Δ (Σ) & = diag (σ_{11}^{1 / 2}, \dots, σ_{m m}^{1 / 2}) \\ P (Σ) & = (Δ (Σ))^{- 1} Σ (Δ (Σ))^{- 1} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \Delta (\Sigma ) & = \textrm{diag}(\sigma _{11}^{1/2},\ldots ,\sigma _{mm}^{1/2})\\ \mathcal{P}(\Sigma )& = (\Delta (\Sigma ))^{-1} \Sigma (\Delta (\Sigma ))^{-1} \end{align*}