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Conformal radius

In mathematics, the conformal radius is a way to measure the size of a simply connected planar domain D viewed from a point z in it. As opposed to notions using Euclidean distance (say, the radius of the largest inscribed disk with center z), this notion is well-suited to use in complex analysis, in particular in conformal maps and conformal geometry.

Art, Relation to inradius & Definition

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Relation to inradius

Schwarz lemmaKoebe 1/4 theoremBoundarySquare root
4 related topics

Definition

Riemann mapping theoremUnit diskBijection
3 related topics

Version from infinity: transfinite diameter and logarithmic capacity

Pommerenke (1975)Convex hullLine segment
3 related topics

A special case: the upper-half plane

Upper half-planeSchramm–Loewner evolution
2 related topics

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Overview

Definition

A special case: the upper-half plane

Relation to inradius

Version from infinity: transfinite diameter and logarithmic capacity

The Fekete, Chebyshev and modified Chebyshev constants

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Map overview Semantic statistics

Conformal radius

Nodes30
Edges29
Triples18
Avg. degree1.93
Density0.066667
Components1

How this topic connects Entity context

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Conformal radius

Top relations

related to External links · 7
Conformal radius → Charles, Conformal, Eric, From MathWorld, Pooh, Weisstein, Wolfram Web Resource
has application · 5
Conformal radius → Lawler, Loewner, Schramm, The, Werner
related to Definition · 4
Conformal radius → Given, Riemann, See, The
is a · 2
Conformal radius → very useful tool, way to measure the size of a simply connected planar domain D viewed from a point z in it

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Important terminology

conformal radius set simply connected capacity transfinite diameter compact map displaystyle mathematics point disk center viewed notion fekete logarithmic define

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Conformal radiusis away to measure the size of a simply connected planar domain D viewed from a point z in it0.90text
Conformal radiusis avery useful tool0.90text
Conformal radiushas applicationThe0.60section
Conformal radiushas applicationSchramm0.60section
Conformal radiushas applicationLoewner0.60section
Conformal radiushas applicationLawler0.60section
Conformal radiushas applicationWerner0.60section
Conformal radiusrelated to DefinitionGiven0.60section
Conformal radiusrelated to DefinitionRiemann0.60section
Conformal radiusrelated to DefinitionThe0.60section
Conformal radiusrelated to DefinitionSee0.60section
Conformal radiusrelated to External linksPooh0.60section

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    Min side: 3
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