continuous function

function such that the preimage of an open set is open
Thing type_of_mathematical_function Q170058
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continuous function

Summary

continuous function is a type of mathematical function[1]. It draws 655 Wikipedia views per month (type_of_mathematical_function category, ranking #9 of 38).[2]

Key Facts

  • continuous function's instance of is recorded as type of mathematical function[3].
  • continuous function's GND ID is recorded as 4183162-7[4].
  • continuous function's Library of Congress authority ID is recorded as sh85052334[5].
  • continuous function's Bibliothèque nationale de France ID is recorded as 12123565q[6].
  • continuous function's subclass of is recorded as piecewise continuous function[7].
  • continuous function's said to be the same as is recorded as continuous function[8].
  • continuous function's opposite of is recorded as discontinuous function[9].
  • continuous function's opposite of is recorded as discrete function[10].
  • continuous function's BNCF Thesaurus ID is recorded as 53874[11].
  • continuous function's Freebase ID is recorded as /m/01tz_[12].
  • continuous function's topic's main category is recorded as Category:Continuity (functions)[13].
  • continuous function's Commons gallery is recorded as Continuous function[14].
  • continuous function's Dewey Decimal Classification is recorded as 515.222[15].
  • continuous function's PSH ID is recorded as 7382[16].
  • continuous function's Gran Enciclopèdia Catalana ID is recorded as 0153274[17].
  • continuous function's described by source is recorded as Armenian Soviet Encyclopedia, vol. 1[18].
  • continuous function's National Library of Latvia ID is recorded as 000193599[19].
  • continuous function's Encyclopædia Britannica Online ID is recorded as topic/continuous-function[20].
  • continuous function's has characteristic is recorded as continuity[21].
  • continuous function's different from is recorded as real-valued continuous function of a real variable[22].
  • continuous function's different from is recorded as continuity[23].
  • continuous function's defining formula is recorded as f:(X,T_1)\to (Y,T_2)\quad\and\quad\forall\,U\in T_2:\quad f^{-1}(U)\in T_1[24].
  • continuous function's MathWorld ID is recorded as ContinuousFunction[25].
  • continuous function's MathWorld ID is recorded as ContinuousMap[26].
  • continuous function's Encyclopædia Universalis ID is recorded as continuite-mathematique[27].

Why It Matters

continuous function draws 655 Wikipedia views per month (type_of_mathematical_function category, ranking #9 of 38).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[28] It is known by 57 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] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  4. [6] . Nuovo soggettario. Retrieved . thes.bncf.firenze.sbn.it. Provenance: wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Nuovo soggettario. wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . Nuovo soggettario. Retrieved . 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] . 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). continuous function. Retrieved May 3, 2026, from https://4ort.xyz/entity/continuous-function
MLA “continuous function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/continuous-function.
BibTeX @misc{4ortxyz_continuous-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{continuous function}}, year = {2026}, url = {https://4ort.xyz/entity/continuous-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): continuous function — https://4ort.xyz/entity/continuous-function (retrieved 2026-05-03)

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