Alternative Equation Formats

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MathML

\begin{aligned} {\hat{θ}}_{1} & = 1 - {\hat{σ}}_{e} {(T {\hat{σ}}_{ν}^{2} + {\hat{σ}}_{e}^{2})}^{- 1 / 2} \\ {\hat{θ}}_{2} & = 1 - {\hat{σ}}_{e} {(N {\hat{σ}}_{λ}^{2} + {\hat{σ}}_{e}^{2})}^{- 1 / 2} \\ {\hat{θ}}_{3} & = {\hat{θ}}_{1} + {\hat{θ}}_{2} + {\hat{σ}}_{e} {(T {\hat{σ}}_{ν}^{2} + N {\hat{σ}}_{λ}^{2} + {\hat{σ}}_{e}^{2})}^{- 1 / 2} - 1 \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \hat\theta _{1} & = 1 - \hat\sigma _ e \left(T\hat\sigma _{\nu }^{2} + \hat\sigma _ e^{2}\right)^{-1/2} \\ \hat\theta _{2} & = 1 - \hat\sigma _ e \left(N\hat\sigma _{\lambda }^{2} + \hat\sigma _ e^{2}\right)^{-1/2} \\ \hat\theta _{3} & = \hat\theta _{1} + \hat\theta _{2} + \hat\sigma _ e\left(T\hat\sigma _{\nu }^{2} + N\hat\sigma _{\lambda }^{2} + \hat\sigma _ e^{2}\right)^{-1/2}- 1 \end{align*}