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triangle inequality theorem

inequality of the form |x + y| ≤ |x| + |y|
Intangible theorem Q208216
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triangle inequality theorem

Summary

triangle inequality theorem is a theorem[1]. It ranks in the top 3% of theorem entities by monthly Wikipedia readership (541 views/month).[2]

Key Facts

  • triangle inequality theorem's instance of is recorded as theorem[3].
  • triangle inequality theorem's subclass of is recorded as inequality[4].
  • triangle inequality theorem's Commons category is recorded as Triangle inequality[5].
  • triangle inequality theorem's Freebase ID is recorded as /m/0f3hj[6].
  • triangle inequality theorem's NL CR AUT ID is recorded as ph602139[7].
  • triangle inequality theorem's Encyclopædia Britannica Online ID is recorded as topic/triangle-inequality[8].
  • triangle inequality theorem's statement describes is recorded as triangle[9].
  • triangle inequality theorem's defining formula is recorded as z \leq x + y[10].
  • triangle inequality theorem's studied by is recorded as Euclidean geometry[11].
  • triangle inequality theorem's MathWorld ID is recorded as TriangleInequality[12].
  • triangle inequality theorem's nLab ID is recorded as triangle inequality[13].
  • triangle inequality theorem's Great Norwegian Encyclopedia ID is recorded as trekantulikheten[14].
  • triangle inequality theorem's Dictionary of Algorithms and Data Structures ID is recorded as trianglnqlty[15].
  • triangle inequality theorem's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • triangle inequality theorem's Microsoft Academic ID is recorded as 182964748[17].
  • triangle inequality theorem's Brilliant Wiki ID is recorded as triangle-inequality[18].
  • triangle inequality theorem's ProofWiki ID is recorded as Triangle_Inequality[19].
  • triangle inequality theorem's in defining formula is recorded as x[20].
  • triangle inequality theorem's in defining formula is recorded as y[21].
  • triangle inequality theorem's in defining formula is recorded as z[22].
  • triangle inequality theorem's Lex ID is recorded as trekantsuligheden[23].
  • triangle inequality theorem's Treccani's Enciclopedia della Matematica ID is recorded as disuguaglianza-triangolare[24].
  • triangle inequality theorem's OpenAlex ID is recorded as C182964748[25].
  • triangle inequality theorem's ScienceDirect topic ID is recorded as computer-science/triangle-inequality[26].
  • triangle inequality theorem's ScienceDirect topic ID is recorded as engineering/triangle-inequality[27].

Why It Matters

triangle inequality theorem ranks in the top 3% of theorem entities by monthly Wikipedia readership (541 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[28] It is known by 16 alternative names across languages and contexts.[29]

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] ↑ . Freebase Data Dumps. 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] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  24. [26] ↑ . wikidata.org.
  25. [27] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] ↑ . Wikidata sitelinks. wikidata.org.
  3. [29] ↑ . 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). triangle inequality theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/triangle-inequality-theorem
MLA “triangle inequality theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/triangle-inequality-theorem.
BibTeX @misc{4ortxyz_triangle-inequality-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{triangle inequality theorem}}, year = {2026}, url = {https://4ort.xyz/entity/triangle-inequality-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): triangle inequality theorem — https://4ort.xyz/entity/triangle-inequality-theorem (retrieved 2026-05-03)

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