Complex-plane closed region, bounded by closed loop that has no intersections, can holomorphically map onto complex-plane unit disc {Riemann mapping theorem}. Two simply connected planes can conformally map one-to-one. One inner and one boundary point of one plane are in other plane. Transformations on unit circles through z = -1 makes airfoil shapes {Zhoukowski airfoil transformation} {Joukowski airfoil transformation}.
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Date Modified: 2022.0224