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Euclidean distance

conventional distance in mathematics and physics
Class type of: pituus Q847073

Facts

12 properties
Instance of
metric function, Minkowski distance[3]
Subclass of
pituus
Defining formula
d(\boldsymbol{x},\boldsymbol{y}) = \|\boldsymbol{x}-\boldsymbol{y}\|
Described by source
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[6]
ISQ dimension
\mathsf{L}
In defining formula
d(\boldsymbol{x},\boldsymbol{y}), \|\boldsymbol{x}-\boldsymbol{y}\|, \boldsymbol{x}-\boldsymbol{y}, \boldsymbol{x}, \boldsymbol{y}
Maintained by WikiProject
WikiProject Mathematics[8]
Named after
Euclid[4]
P14534
EuclideanSpace.dist_eq[9]
P14541
2EUKgh[10]
Said to be the same as
as the crow flies[5]
Studied by
category theory[7]
🏷️ Also known as
en Euclidean distance en Pythagorean distance en distance between two points en distance ar مسافة إقليدية cs Euklidovská metrika cs Eukleidovská metrika de euklidischer Abstand de euklidische Distanz de Abstand zwischen zwei Punkten de euklidische Metrik el Ευκλείδεια μετρική el Ευκλείδια μετρική es distancia euclideana es distancia euclidiana es distancia euclídea fa فاصله اقلیدسی fa فاصلهٔ اقلیدسی fi euklidinen etäisyys fi euklidinen metriikka
🔖 Identifiers · 12
OpenAlex ID
C120174047
Brilliant Wiki ID
3d-coordinate-geometry-distance, distance-formula
Dictionary of Algorithms and Data Structures ID
euclidndstnc
Encyclopedia of China (Third Edition) ID
51241
Freebase ID
/m/0f3f9
IEV number
102-03-24
Lex ID
afstand
MathWorld ID
Distance
Microsoft Academic ID (discontinued)
120174047
Quora topic ID
Euclidean-Distance
Treccani's Enciclopedia della Matematica ID
distanza-euclidea, distanza
Wolfram Language quantity ID
EuclideanDistance

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Instance of 2
metric function, Minkowski distance
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Euclid
Said to be the same as 1
as the crow flies
Studied by 1
category theory
Subclass of 1
pituus
← Said to be the same as 1
as the crow flies
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Summary

Euclidean distance is a metric function[1]. It is a type of length[2].

Related Entities

Euclid

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [2] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . github.com. Retrieved . github.com. Provenance: wikidata.org.
  9. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Euclidean distance. Retrieved November 4, 2026, from https://4ort.xyz/entity/euclidean-distance
MLA “Euclidean distance.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/euclidean-distance.
BibTeX @misc{4ortxyz_euclidean-distance_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euclidean distance}}, year = {2026}, url = {https://4ort.xyz/entity/euclidean-distance}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euclidean distance — https://4ort.xyz/entity/euclidean-distance (retrieved 2026-11-04)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 17w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 2EUKgh
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  2. 18w ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Named after → —
    Subclass of → —
    Instance of → metric function, Minkowski distance
    P14534 → EuclideanSpace.dist_eq
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ P14534: EuclideanSpace.dist_eq, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.