basis

subset of a vector space that allows defining coordinates
Thing general Q189569
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Summary

basis ranks in the top 2% of general entities by monthly Wikipedia readership (328 views/month).[1]

Key Facts

  • Georg Hamel is named after basis[2].
  • basis's GND ID is recorded as 4228195-7[3].
  • basis's subclass of is recorded as subset[4].
  • basis's subclass of is recorded as basis[5].
  • basis's Commons category is recorded as Basis (linear algebra)[6].
  • basis's opposite of is recorded as Schauder basis[7].
  • basis's Freebase ID is recorded as /m/04nx6[8].
  • basis's facet of is recorded as linear algebra[9].
  • basis's has characteristic is recorded as linear independence[10].
  • basis's different from is recorded as transcendence basis[11].
  • basis's different from is recorded as basis element (topology)[12].
  • basis's different from is recorded as base[13].
  • basis's different from is recorded as basis[14].
  • basis's studied by is recorded as linear algebra[15].
  • basis's Google Knowledge Graph ID is recorded as /g/121_5m30[16].
  • basis's MathWorld ID is recorded as VectorBasis[17].
  • basis's MathWorld ID is recorded as HamelBasis[18].
  • basis's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • basis's Microsoft Academic ID is recorded as 12426560[20].
  • basis's Brilliant Wiki ID is recorded as bases[21].
  • basis's ProofWiki ID is recorded as Definition:Basis_(Linear_Algebra)[22].
  • basis's Encyclopedia of Mathematics article ID is recorded as basis[23].
  • basis's KBpedia ID is recorded as Basis[24].
  • basis's IEV number is recorded as 102-03-08[25].
  • basis's OpenAlex ID is recorded as C12426560[26].

Why It Matters

basis ranks in the top 2% of general entities by monthly Wikipedia readership (328 views/month).[1] basis has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[27] basis is known by 46 alternative names across languages and contexts.[28]

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] ↑ . Freebase Data Dumps. 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.
  15. [16] ↑ . wikidata.org.
  16. [17] ↑ . wikidata.org.
  17. [18] ↑ . wikidata.org.
  18. [19] ↑ . wikidata.org.
  19. [20] ↑ . wikidata.org.
  20. [21] ↑ . wikidata.org.
  21. [22] ↑ . wikidata.org.
  22. [23] ↑ . wikidata.org.
  23. [24] ↑ . KBpedia. Retrieved . wikidata.org.
  24. [25] ↑ . wikidata.org.
  25. [26] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] ↑ . Wikidata sitelinks. wikidata.org.
  3. [28] ↑ . 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). basis. Retrieved October 13, 2026, from https://4ort.xyz/entity/basis
MLA “basis.” 4ort.xyz Knowledge Graph, 4ort.xyz, 13 Oct. 2026, https://4ort.xyz/entity/basis.
BibTeX @misc{4ortxyz_basis_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{basis}}, year = {2026}, url = {https://4ort.xyz/entity/basis}, note = {Accessed: 2026-10-13}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): basis — https://4ort.xyz/entity/basis (retrieved 2026-10-13)

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