extended real number line

extension of the reals by +∞ and −∞
Thing set_of_numbers Q2039387
Press Enter · cited answer in seconds

extended real number line

Summary

extended real number line is a set of numbers[1]. It draws 198 Wikipedia views per month (set_of_numbers category, ranking #2 of 5).[2]

Key Facts

  • extended real number line's instance of is recorded as set of numbers[3].
  • extended real number line's instance of is recorded as compact space[4].
  • extended real number line's Freebase ID is recorded as /m/0dmk9[5].
  • extended real number line's different from is recorded as projectively extended real line[6].
  • extended real number line's defining formula is recorded as \overline{\R}=\R\cup{+\infty,-\infty}[7].
  • extended real number line's MathWorld ID is recorded as AffinelyExtendedRealNumbers[8].
  • extended real number line's set cardinality is recorded as cardinality of the continuum[9].
  • extended real number line's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • extended real number line's Microsoft Academic ID is recorded as 64441750[11].
  • extended real number line's ProofWiki ID is recorded as Definition:Extended_Real_Number_Line[12].
  • extended real number line's in defining formula is recorded as \overline\R[13].
  • extended real number line's in defining formula is recorded as \R[14].
  • extended real number line's in defining formula is recorded as \cup[15].
  • extended real number line's KBpedia ID is recorded as ExtendedRealNumber[16].
  • extended real number line's Metamath statement ID is recorded as df-xrs[17].

Why It Matters

extended real number line draws 198 Wikipedia views per month (set_of_numbers category, ranking #2 of 5).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[18] It is known by 16 alternative names across languages and contexts.[19]

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] . Freebase Data Dumps. 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] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . KBpedia. Retrieved . wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . 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). extended real number line. Retrieved May 3, 2026, from https://4ort.xyz/entity/extended-real-number-line
MLA “extended real number line.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/extended-real-number-line.
BibTeX @misc{4ortxyz_extended-real-number-line_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{extended real number line}}, year = {2026}, url = {https://4ort.xyz/entity/extended-real-number-line}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): extended real number line — https://4ort.xyz/entity/extended-real-number-line (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/extended-real-number-line · Last refreshed: