ceiling function

function that maps a real number x to the smallest integer greater than or equal to x
Thing idempotent_function Q12718884
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ceiling function

Summary

ceiling function is an idempotent function[1]. It draws 6 Wikipedia views per month (idempotent_function category, ranking #3 of 3).[2]

Key Facts

  • ceiling function's image is recorded as Ceiling function.svg[3].
  • ceiling function's instance of is recorded as idempotent function[4].
  • ceiling function's instance of is recorded as integer-valued function[5].
  • ceiling function's part of is recorded as floor and ceiling functions[6].
  • ceiling function's opposite of is recorded as floor function[7].
  • ceiling function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
  • ceiling function's definition domain is recorded as set of real numbers[9].
  • ceiling function's image of function is recorded as set of integers[10].
  • ceiling function's defining formula is recorded as \lceil a \rceil = \min{{n \in \mathbb{Z} \mid n \ge a}}[11].
  • ceiling function's Google Knowledge Graph ID is recorded as /g/11c0rgn2m6[12].
  • ceiling function's MathWorld ID is recorded as CeilingFunction[13].
  • ceiling function's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • ceiling function's Brilliant Wiki ID is recorded as ceiling-function[15].
  • ceiling function's in defining formula is recorded as \lceil a \rceil[16].
  • ceiling function's in defining formula is recorded as \mathbb{Z}[17].
  • ceiling function's Metamath statement ID is recorded as df-ceil[18].

Why It Matters

ceiling function draws 6 Wikipedia views per month (idempotent_function category, ranking #3 of 3).[2] It is known by 21 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] . 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] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [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). ceiling function. Retrieved May 3, 2026, from https://4ort.xyz/entity/ceiling-function
MLA “ceiling function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/ceiling-function.
BibTeX @misc{4ortxyz_ceiling-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{ceiling function}}, year = {2026}, url = {https://4ort.xyz/entity/ceiling-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): ceiling function — https://4ort.xyz/entity/ceiling-function (retrieved 2026-05-03)

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