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4 Conformal maps - University of Arizona
math.arizona.edu4 Conformal maps 4.1 De nition, Riemann mapping theorem We start by restating a de nition we made before. De nition 13 Let D and D0 be open subsets of R2.A map f : D ! D0 is said to preserve angles if for every two di erentiable curves
Sets and Functions - University of California, Davis
www.math.ucdavis.eduThe de nitions of union and intersection extend to larger collections of sets in a natural way. De nition 1.5. Let Cbe a collection of sets. Then the union of Cis [C= fx: x2Xfor some X2Cg; and the intersection of Cis \ C= fx: x2Xfor every X2Cg: If C= fA;Bg, then this de nition reduces to our previous one for A[Band A\B.