Euclidean norm

square root of the sum of squares of components of a vector
Thing general Q20076640
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Euclidean norm

Summary

Euclidean norm ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1]

Key Facts

  • Euclid is named after Euclidean norm[2].
  • Euclidean norm's GND ID is recorded as 1173753311[3].
  • Euclidean norm's subclass of is recorded as norm[4].
  • Euclidean norm's defining formula is recorded as |\boldsymbol{x}| = \sqrt{\sum_{i = 1}^n |x_i|^2}[5].
  • Euclidean norm's Google Knowledge Graph ID is recorded as /g/122z2gqr[6].
  • Euclidean norm's MathWorld ID is recorded as L2-Norm[7].
  • Euclidean norm's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Euclidean norm's in defining formula is recorded as |\boldsymbol{x}|[9].
  • Euclidean norm's in defining formula is recorded as \boldsymbol{x}[10].
  • Euclidean norm's in defining formula is recorded as \sqrt x[11].
  • Euclidean norm's in defining formula is recorded as \sum[12].
  • Euclidean norm's in defining formula is recorded as n[13].
  • Euclidean norm's in defining formula is recorded as |x|[14].
  • Euclidean norm's Digital Library of Mathematical Functions ID is recorded as 1.2.E46[15].

Why It Matters

Euclidean norm ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[16] It is known by 8 alternative names across languages and contexts.[17]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . Wikidata aliases. 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 norm. Retrieved April 10, 2026, from https://4ort.xyz/entity/euclidean-norm
MLA “Euclidean norm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/euclidean-norm.
BibTeX @misc{4ortxyz_euclidean-norm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euclidean norm}}, year = {2026}, url = {https://4ort.xyz/entity/euclidean-norm}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euclidean norm — https://4ort.xyz/entity/euclidean-norm (retrieved 2026-04-10)

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