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raising and lowering indices

mathematical operations relating different types of tensor
Intangible mathematical_concept Q2436203
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raising and lowering indices

Summary

raising and lowering indices is a mathematical concept[1]. It draws 50 Wikipedia views per month (mathematical_concept category, ranking #226 of 1,007).[2]

Key Facts

  • raising and lowering indices's instance of is recorded as mathematical concept[3].
  • raising and lowering indices's Freebase ID is recorded as /m/02r7ssv[4].
  • raising and lowering indices's facet of is recorded as differential geometry[5].
  • raising and lowering indices's MathWorld ID is recorded as IndexLowering[6].
  • raising and lowering indices's MathWorld ID is recorded as IndexRaising[7].
  • raising and lowering indices's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • raising and lowering indices's Microsoft Academic ID is recorded as 183382225[9].

Why It Matters

raising and lowering indices draws 50 Wikipedia views per month (mathematical_concept category, ranking #226 of 1,007).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[10] It is known by 5 alternative names across languages and contexts.[11]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . Freebase Data Dumps. wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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). raising and lowering indices. Retrieved May 3, 2026, from https://4ort.xyz/entity/raising-and-lowering-indices
MLA “raising and lowering indices.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/raising-and-lowering-indices.
BibTeX @misc{4ortxyz_raising-and-lowering-indices_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{raising and lowering indices}}, year = {2026}, url = {https://4ort.xyz/entity/raising-and-lowering-indices}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): raising and lowering indices — https://4ort.xyz/entity/raising-and-lowering-indices (retrieved 2026-05-03)

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