In mathematics, a conformal map is a function that preserves angles locally. In the most common case, the function has a domain and an image in the complex plane.More formally, a map f : U → V with U, V ⊆ ℂnis called conformal (or angle-preserving) at a point u0 if it preserves oriented angles between curves through u0 with respect to their orientation (i.e. not just the magnitude of the angle).
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