Alternative Equation Formats

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MathML

\begin{aligned} α_{1} & = Φ (2 z_{0} + z_{α / 2}) \\ α_{2} & = Φ (2 z_{0} + z_{1 - α / 2}) \\ α_{3} & = Φ (2 z_{0} + z_{1 - α}) \\ α_{4} & = Φ (2 z_{0} + z_{α}) \\ z_{0} & = Φ^{- 1} (# {{\hat{θ}}_{i}^{⋆} < \hat{θ}} / r) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \alpha _1 & = \Phi \left( 2z_0 + z_{\alpha /2} \right) \\ \alpha _2 & = \Phi \left( 2z_0 + z_{1-\alpha /2} \right) \\ \alpha _3 & = \Phi \left( 2z_0 + z_{1-\alpha } \right) \\ \alpha _4 & = \Phi \left( 2z_0 + z_{\alpha } \right) \\ z_0 & = \Phi ^{-1} \left( \# \{ {\hat{\theta }}_ i^\star < \hat{\theta } \} / r \right) \end{align*}