: Astronomie: conformal mapping

mathematical technique > mathematical analysis > complex analysis > complex function > conformal mapping

conformal mapping

In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths. More formally, let U and V be open subsets of Rⁿ. A function f : U → V is called conformal (or angle-preserving) at a point u₀ ∈ U if it preserves angles between directed curves through u₀, as well as preserving orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Conformal_map)

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