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Unit disk

In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1:

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Explore the main themes, entities and connections around Unit disk. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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The open unit disk, the plane, and the upper half-plane

AnalyticBijectiveAnalytic manifoldHomeomorphicConformal
16 related topics

Hyperbolic plane

Poincaré disk modelCircular arcsCayley absoluteMetricCross-ratio
11 related topics

Unit disks with respect to other metrics

Taxicab metricChebyshev metricTopologiesPerimeterStanisław Gołąb
8 related topics

Overview

MathematicsPlaneDisksUnit ballsUnit circle
12 related topics

Topics to explore

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Overview

The open unit disk, the plane, and the upper half-plane

Hyperbolic plane

Unit disks with respect to other metrics

Advanced semantic analysis

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Map overview Semantic statistics

Unit disk

Nodes52
Edges51
Triples35
Avg. degree1.96
Density0.038462
Components1

How this topic connects Entity context

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Unit disk

Top relations

related to External links · 14
Unit disk → Area, Eric, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, MathWorld, On, Pavia, Perimeter, Thompson, Unit, Unit Disc, Weisstein, Wikisource-logo
related to Hyperbolic plane · 8
Unit disk → Both, Cayley, Circular, In, Klein, Poincaré, SU, The
related to Unit disks with respect to other metrics · 7
Unit disk → Chebyshev, Euclidean, For, In, One, Stanisław Gołąb, The
related to The open unit disk, the plane, and the upper half-plane · 3
Unit disk → Considered, In, The
see also · 2
Unit disk → Branges's, Unit
is a · 1
Unit disk → regular hexagon or a parallelogram

Important terminology Word statistics

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Important terminology

unit disk open plane circle conformal half-plane bijective one upper metric model complex displaystyle disks also perimeter set interior hyperbolic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Unit diskis aregular hexagon or a parallelogram0.90text
Unit diskrelated to External linksLock-green0.60section
Unit diskrelated to External linksLock-gray-alt-20.60section
Unit diskrelated to External linksLock-red-alt-20.60section
Unit diskrelated to External linksWikisource-logo0.60section
Unit diskrelated to External linksWeisstein0.60section
Unit diskrelated to External linksEric0.60section
Unit diskrelated to External linksUnit0.60section
Unit diskrelated to External linksMathWorld0.60section
Unit diskrelated to External linksOn0.60section
Unit diskrelated to External linksPerimeter0.60section
Unit diskrelated to External linksArea0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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