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Unit sphere

In mathematics, a unit sphere is a sphere of unit radius: the set of points at Euclidean distance 1 from some center point in three-dimensional space. More generally, the unit ⁠ n {\displaystyle n} ⁠-sphere is an ⁠ n {\displaystyle n} ⁠-sphere of unit radius in ⁠ ( n + 1 ) {\displaystyle (n+1)} ⁠-dimensional Euclidean space; the unit circle is a special…

Regions & Measurement

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Overview

Unit spheres and balls in Euclidean space

Unit balls in normed vector spaces

Generalizations

Notes and references

Advanced semantic analysis

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Map overview Semantic statistics

Unit sphere

Nodes52
Edges51
Triples18
Avg. degree1.96
Density0.038462
Components1

How this topic connects Entity context

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Unit sphere

Top relations

related to External links · 4
Unit sphere → Eric, MathWorld, Unit, Weisstein
related to Volume and area · 4
Unit sphere → Euclidean, Gamma, It, The
is a · 3
Unit sphere → set of all points, set of points of distance 1 from a fixed central point, sphere of unit radius
related to Quadratic forms · 3
Unit sphere → For, If, Similarly
related to Metric spaces · 2
Unit sphere → All, However
related to Unit spheres and balls in Euclidean space · 2
Unit sphere → In Euclidean, The

Important terminology Word statistics

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Important terminology

unit sphere displaystyle ball space area distance pi set points radius euclidean open surface circle used norm n-1 called center

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Unit sphereis asphere of unit radius0.90text
Unit sphereis aset of points of distance 1 from a fixed central point0.90text
Unit sphereis aset of all points0.90text
Unit sphererelated to External linksWeisstein0.60section
Unit sphererelated to External linksEric0.60section
Unit sphererelated to External linksUnit0.60section
Unit sphererelated to External linksMathWorld0.60section
Unit sphererelated to Metric spacesAll0.60section
Unit sphererelated to Metric spacesHowever0.60section
Unit sphererelated to Quadratic formsIf0.60section
Unit sphererelated to Quadratic formsFor0.60section
Unit sphererelated to Quadratic formsSimilarly0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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