Alternative Equation Formats

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MathML

p o w e r = {\begin{cases} Φ (m_{2} z_{α} - N^{\frac{1}{2}} m_{1} δ^{⋆}) & upper one-sided \\ 1 - Φ (m_{2} z_{1 - α} - N^{\frac{1}{2}} m_{1} δ^{⋆}) & lower one-sided \\ P (χ^{2} (1, N (m_{1} δ^{⋆})^{2}) \geq m_{2}^{2} χ_{1 - α}^{2} (1)) & two-sided \end{cases}

Math Rendered as SVG

Math as LaTeX Source

\[ \mr{power} = \left\{ \begin{array}{ll} \Phi \left( m_2 z_\alpha - N^\frac {1}{2} m_1 \delta ^\star \right) & \mbox{upper one-sided} \\ 1 - \Phi \left( m_2 z_{1-\alpha } - N^\frac {1}{2} m_1 \delta ^\star \right) & \mbox{lower one-sided} \\ P\left(\chi ^2(1, N (m_1 \delta ^\star )^2) \ge m_2^2 \chi ^2_{1-\alpha }(1)\right) & \mbox{two-sided} \\ \end{array} \right. \]