Joukowsky transform

The Joukowsky transform, named after Nikolai Zhukovsky who published it in 1910, is a conformal map in complex analysis that was historically used to understand principles of airfoil design. The transform, defined by adding a variable to its own reciprocal, preserves angles between curves, a defining property of conformal maps. When applied to a circle in the complex plane, it produces an airfoil like shape, and the resulting Joukowsky airfoils have a distinctive cusp at their trailing edge.