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Euclidean distance

In mathematics, the Euclidean distance between two points in a Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance.

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Overview

Distance formulas

Properties

Squared Euclidean distance

Generalizations

History

Advanced semantic analysis

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Map overview Semantic statistics

Euclidean distance

Nodes98
Edges97
Triples43
Avg. degree1.98
Density0.020408
Components1

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Euclidean distance

Top relations

related to history · 21
Euclidean distance → Alexis Clairaut, Although, Augustin-Louis Cauchy, BC, Because, Both, But, Cartesian, Concepts, Earth's, Elements, Euclid, Euclid's Elements, Euclidean, Greek, Instead, Pythagorean, René Descartes, Sumer, The
related to Generalizations · 8
Euclidean distance → By Dvoretzky's, Euclidean, In, It, L2, One, Other, The Euclidean
related to Squared Euclidean distance · 6
Euclidean distance → As, Comparing, Euclidean, For, In, The
related to Properties · 4
Euclidean distance → Intuitively, It, That, The Euclidean
is a · 1
Euclidean distance → prototypical example of the distance in a metric space

Important terminology Word statistics

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Important terminology

distance points euclidean distances displaystyle two space squared used line norm given coordinates pythagorean length also theorem point objects square

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Euclidean distanceis aprototypical example of the distance in a metric space0.90text
Hausdorff distance are also commonly usedinstance ofalthough more complicated generalizations from points to sets0.80text
Ptolemy's inequalityinstance ofEuclidean distance geometry studies properties of Euclidean distance0.80text
and their application in testing whether given sets of distances come from points in a Euclidean space.According to the Beckmaninstance ofEuclidean distance geometry studies properties of Euclidean distance0.80text
Euclidean distancerelated to GeneralizationsIn0.60section
Euclidean distancerelated to GeneralizationsEuclidean0.60section
Euclidean distancerelated to GeneralizationsOne0.60section
Euclidean distancerelated to GeneralizationsBy Dvoretzky's0.60section
Euclidean distancerelated to GeneralizationsIt0.60section
Euclidean distancerelated to GeneralizationsL20.60section
Euclidean distancerelated to GeneralizationsThe Euclidean0.60section
Euclidean distancerelated to GeneralizationsOther0.60section

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