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Conformal mapping

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  Applications of conformal mapping [ edit ] This article  is in  list  format but may read better as  prose .  You can help by  converting this article , if appropriate.  Editing help  is available.   ( August 2022 ) In aerospace engineering [2] In biomedical sciences [3] In brain mapping [4] Genetic mapping [5] [6] [7] Geodesics [8] In geometry [9] In geophysics [10] In Google [11] [12] In engineering [13] [14] In electronics [15] In geography [16]  and cartography. [17] Major results [ edit ] Color wheel graph  of the function  f ( x ) =  ( x 2  − 1)( x  − 2 −  i ) 2 / x 2  + 2 + 2 i . Hue  represents the  argument ,  brightness  the  magnitude. One of the central tools in complex analysis is the  line integral . The line integral around a closed path of a function that is holomorphic everywhere inside the area bounded by the closed path is always zero, as is stated...