closed interval

(possibly infinite) interval that includes all of its limit points
Thing general Q78240777
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closed interval

Summary

closed interval ranks in the top 2% of general entities by monthly Wikipedia readership (14 views/month).[1]

Key Facts

  • closed interval's subclass of is recorded as closed set[2].
  • closed interval's subclass of is recorded as bounded interval[3].
  • closed interval's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[4].
  • closed interval's has characteristic is recorded as closedness[5].
  • closed interval's has characteristic is recorded as boundedness[6].
  • closed interval's defining formula is recorded as [a, b] = {x \in \mathbb{R} \mid a \leq x \leq b}[7].
  • closed interval's defining formula is recorded as [a,b]={x\in X\colon a\lesssim x\lesssim b}[8].
  • closed interval's studied by is recorded as order theory[9].
  • closed interval's MathWorld ID is recorded as ClosedInterval[10].
  • closed interval's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • closed interval's ProofWiki ID is recorded as Definition:Interval/Ordered_Set/Closed[12].
  • closed interval's in defining formula is recorded as [a, b][13].
  • closed interval's in defining formula is recorded as X[14].
  • closed interval's in defining formula is recorded as a[15].
  • closed interval's in defining formula is recorded as b[16].
  • closed interval's Encyclopedia of Mathematics article ID is recorded as Interval,_closed[17].

Why It Matters

closed interval ranks in the top 2% of general entities by monthly Wikipedia readership (14 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[18] It is known by 17 alternative names across languages and contexts.[19]

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] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  7. [8] . Independence, Additivity, Uncertainty. 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.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). closed interval. Retrieved April 10, 2026, from https://4ort.xyz/entity/closed-interval
MLA “closed interval.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/closed-interval.
BibTeX @misc{4ortxyz_closed-interval_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{closed interval}}, year = {2026}, url = {https://4ort.xyz/entity/closed-interval}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): closed interval — https://4ort.xyz/entity/closed-interval (retrieved 2026-04-10)

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