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\begin{aligned} D F_{τ} ⟹ & \int_{0}^{1} \frac{Q (r)}{(\int_{0}^{1} Q^{2})^{1 / 2}} d S \\ Q (r) & = W_{1} (r) - \int_{0}^{1} W_{1} W_{2}^{'} {(\int_{0}^{1} W_{2} W_{2}^{'})}^{- 1} W_{2} (r) \\ S (r) & = \frac{Q (r)}{(κ^{'} κ)^{1 / 2}} \\ κ^{'} & = (1, - \int_{0}^{1} W_{1} W_{2}^{'} {(\int_{0}^{1} W_{2} W_{2}^{'})}^{- 1}) \end{aligned}

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Math as LaTeX Source

\begin{align*} DF_\tau \Longrightarrow & \int _0^1 \frac{Q(r)}{(\int _0^1 Q^2)^{1/2}} dS\\ Q(r) & =W_1(r) -\int _0^1 W_1 W_2' \left(\int _0^1 W_2 W_2'\right)^{-1} W_2(r)\\ S(r)& = \frac{Q(r)}{(\kappa ' \kappa )^{1/2}}\\ \kappa ' & = \left(1, -\int _0^1 W_1 W_2' \left(\int _0^1 W_2 W_2'\right)^{-1} \right) \end{align*}