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\begin{aligned} p o w e r & = Q_{N - 2} ((- t_{1 - α} (N - 2)), \frac{\log (\frac{γ_{T}}{γ_{R}}) - \log (θ_{U})}{σ^{⋆} N^{- \frac{1}{2}} (w_{1} w_{2})^{- \frac{1}{2}}}; 0, \frac{(N - 2)^{\frac{1}{2}} (\log (θ_{U}) - \log (θ_{L}))}{2 σ^{⋆} N^{- \frac{1}{2}} (w_{1} w_{2})^{- \frac{1}{2}} (t_{1 - α} (N - 2))}) - \\ Q_{N - 2} ((t_{1 - α} (N - 2)), \frac{\log (\frac{γ_{T}}{γ_{R}}) - \log (θ_{L})}{σ^{⋆} N^{- \frac{1}{2}} (w_{1} w_{2})^{- \frac{1}{2}}}; 0, \frac{(N - 2)^{\frac{1}{2}} (\log (θ_{U}) - \log (θ_{L}))}{2 σ^{⋆} N^{- \frac{1}{2}} (w_{1} w_{2})^{- \frac{1}{2}} (t_{1 - α} (N - 2))}) \end{aligned}

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Math as LaTeX Source

\begin{align*} \mr{power} & = Q_{N-2}\left((-t_{1-\alpha }(N-2)),\frac{\log \left(\frac{\gamma _ T}{\gamma _ R}\right)- \log (\theta _ U)}{\sigma ^\star N^{-\frac{1}{2}}(w_1 w_2)^{-\frac{1}{2}}}; 0,\frac{(N-2)^\frac {1}{2} (\log (\theta _ U)-\log (\theta _ L))}{2\sigma ^\star N^{-\frac{1}{2}}(w_1 w_2)^{-\frac{1}{2}} (t_{1-\alpha }(N-2))}\right) \quad -\\ & \quad Q_{N-2}\left((t_{1-\alpha }(N-2)),\frac{\log \left(\frac{\gamma _ T}{\gamma _ R}\right)- \log (\theta _ L)}{\sigma ^\star N^{-\frac{1}{2}}(w_1 w_2)^{-\frac{1}{2}}}; 0,\frac{(N-2)^\frac {1}{2} (\log (\theta _ U)-\log (\theta _ L))}{2\sigma ^\star N^{-\frac{1}{2}}(w_1 w_2)^{-\frac{1}{2}}(t_{1-\alpha }(N-2))}\right) \end{align*}