Extremal length
id:
extremal-length-289-9296043
title:
Extremal length
text:
In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves Γ is a measure of the size of Γ that is invariant under conformal mappings. More specifically, suppose that D is an open set in the complex plane and Γ is a collection
of paths in D and f : D → D ′ is a conformal mapping. Then the extremal length of Γ is equal to the extremal length of the image of Γ under f . One also works with the conformal modulus of Γ , the reciprocal of the ex
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description:
original url:
https://en.wikipedia.org/wiki/Extremal_length
date created:
date modified:
2021-03-23T07:55:15Z
main entity:
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13
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