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 has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • continuous function's instance of is recorded as type of mathematical function[3].
  • continuous function is a type of piecewise continuous function[4].
  • continuous function's said to be the same as is recorded as continuous function[5].
  • continuous function is the opposite of discontinuous function[6].
  • continuous function is the opposite of discrete function[7].
  • continuous function's topic's main category is recorded as Category:Continuity (functions)[8].
  • continuous function's Commons gallery is recorded as Continuous function[9].
  • continuous function's described by source is recorded as Armenian Soviet Encyclopedia, vol. 1[10].
  • continuous function's has characteristic is recorded as continuity[11].
  • continuous function's different from is recorded as real-valued continuous function of a real variable[12].
  • continuous function's different from is recorded as continuity[13].
  • continuous function's maintained by WikiProject is recorded as WikiProject Mathematics[14].

Body

Definition and Type

continuous function's instance of is recorded as type of mathematical function[3]. It is a type of piecewise it[4]. Recorded opposite of include discontinuous function[6] and discrete function[7].

Why It Matters

continuous function has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2] It is known by 57 alternative names across languages and contexts.[15]

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] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [15] . 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}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    P14534 Continuous
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: Continuous, #quickstatements; #temporary_batch_1783013068346"
  2. 5w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Instance of type of mathematical function
    Maintained by wikiproject WikiProject Mathematics
    Opposite of discontinuous function, discrete function
    Said to be the same as continuous function
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007553158805171, mv to monolingual text names on J9U statements"
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