covariance and contravariance of vectors

manner in which a geometric object varies with a change of basis
CreativeWork wikimedia_article_covering_multiple_topics Q3555165
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covariance and contravariance of vectors

Summary

covariance and contravariance of vectors is a Wikimedia article covering multiple topics[1]. It draws 333 Wikipedia views per month (wikimedia_article_covering_multiple_topics category, ranking #43 of 186).[2]

Key Facts

  • covariance and contravariance of vectors's instance of is recorded as Wikimedia article covering multiple topics[3].
  • covariance and contravariance of vectors's instance of is recorded as term[4].
  • covariance and contravariance of vectors's Freebase ID is recorded as /m/01ctpf[5].
  • covariance and contravariance of vectors's facet of is recorded as contravariant vector[6].
  • covariance and contravariance of vectors's facet of is recorded as covariant vector[7].
  • covariance and contravariance of vectors's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[8].
  • covariance and contravariance of vectors's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[9].
  • covariance and contravariance of vectors's studied by is recorded as tensor analysis[10].
  • covariance and contravariance of vectors's Microsoft Academic ID is recorded as 206236147[11].
  • covariance and contravariance of vectors's Encyclopedia of Mathematics article ID is recorded as Covariant_tensor[12].
  • covariance and contravariance of vectors's OpenAlex ID is recorded as C206236147[13].

Why It Matters

covariance and contravariance of vectors draws 333 Wikipedia views per month (wikimedia_article_covering_multiple_topics category, ranking #43 of 186).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[14] It is known by 4 alternative names across languages and contexts.[15]

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. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). covariance and contravariance of vectors. Retrieved May 3, 2026, from https://4ort.xyz/entity/covariance-and-contravariance-of-vectors
MLA “covariance and contravariance of vectors.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/covariance-and-contravariance-of-vectors.
BibTeX @misc{4ortxyz_covariance-and-contravariance-of-vectors_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{covariance and contravariance of vectors}}, year = {2026}, url = {https://4ort.xyz/entity/covariance-and-contravariance-of-vectors}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): covariance and contravariance of vectors — https://4ort.xyz/entity/covariance-and-contravariance-of-vectors (retrieved 2026-05-03)

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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. 9w ago · InternetArchiveBot bot · 2026-05-06 view diff on Wikidata ↗
    Aliases
    Facet of contravariant vector, covariant vector
    Instance of
    Described by source Great Soviet Encyclopedia (1926–1947), Armenian Soviet Encyclopedia, vol. 5
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-references:1||1|2 */ [[Property:P10283]]: C206236147, Rescuing 1 sources and submitting 0 for archiving. #IABot (v2.0.9.5)"
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