11. Albert F�ssler and others provide insights into the significance of these parabolas in the context of conformal mappings . 12. The theory of arbitrary airfoils based on conformal mapping developed by Theodorsen, is a model of classical applied mathematics. 13. This is true for all coordinate systems where the transformation to Cartesian coordinates is given by a conformal mapping . 14. To prove the theorem she used a new approach, applying a technique introduced by Lars Ahlfors for conformal mappings . 15. At the Bieberbach conference in 1985, William Thurston conjectured that circle packings could be used to approximate conformal mappings . 16. Koebe also described two iterative schemes for constructing the conformal mapping onto a circular domain; these are described in and. 17. A "'Least squares conformal map "'( LSCM ) is a 3-D shape created using the Least Squares Conformal Mapping Method. 18. There are quasi-conformal mappings in every isotopy class and so an alternative definition for The Teichm�ller space is as follows. 19. The concept of extremal length uses this notion of the-length of curves and is useful in the study of conformal mappings . 20. In fact any conformal mapping of such a circular domain onto another circular domain is necessarily given by a M�bius transformation.