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Ultrametric space

In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to d ( x , z ) ≤ max { d ( x , y ) , d ( y , z ) } {\displaystyle d(x,z)\leq \max \left\{d(x,y),d(y,z)\right\}} for all x {\displaystyle x} , y {\displaystyle y} , and z {\displaystyle z} . Sometimes the associated metric is also called a…

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Ultrametric space

Nodes59
Edges58
Triples10
Avg. degree1.97
Density0.033898
Components1

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Ultrametric space

Top relations

related to Examples · 8
Ultrametric space → Consider, Define, If, Note, Sigma, The, Two, Zero
is a · 2
Ultrametric space → metric space in which the triangle inequality is strengthened to d, pair

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Important terminology

displaystyle ultrametric metric set leq space also max distance triangle inequality left right open one called function balls distances words

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ultrametric spaceis ametric space in which the triangle inequality is strengthened to d0.90text
Ultrametric spaceis apair0.90text
Ultrametric spacerelated to ExamplesThe0.60section
Ultrametric spacerelated to ExamplesConsider0.60section
Ultrametric spacerelated to ExamplesSigma0.60section
Ultrametric spacerelated to ExamplesDefine0.60section
Ultrametric spacerelated to ExamplesTwo0.60section
Ultrametric spacerelated to ExamplesIf0.60section
Ultrametric spacerelated to ExamplesNote0.60section
Ultrametric spacerelated to ExamplesZero0.60section

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    Min side: 3
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