High Quality Content by WIKIPEDIA articles! In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves ? is a conformal invariant of ?.In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into an independent subject with various applications. Informally, a conformal homeomorphism is a homeomorphism between plane domains which to first order takes small circles to small circles. A quasiconformal homeomorphism to first order takes small circles to small ellipses of bounded eccentricity.

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