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 is known by 21 alternative names across languages and contexts.[2]

Key Facts

  • ceiling function's instance of is recorded as idempotent function[3].
  • ceiling function's instance of is recorded as integer-valued function[4].
  • ceiling function is part of floor and ceiling functions[5].
  • ceiling function is the opposite of floor function[6].
  • ceiling function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[7].
  • ceiling function's definition domain is recorded as set of real numbers[8].
  • ceiling function's image of function is recorded as set of integers[9].
  • ceiling function's maintained by WikiProject is recorded as WikiProject Mathematics[10].

Body

Definition and Type

Recorded instance of include idempotent function[3] and integer-valued function[4]. ceiling function is the opposite of floor function[6].

Use and Application

ceiling function is part of floor and ceiling functions[5].

Why It Matters

ceiling function is known by 21 alternative names across languages and contexts.[2]

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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}}
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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. 4d ago · Beegies · 2026-07-03 view diff on Wikidata ↗
    Instance of idempotent function, integer-valued function
    Image of function set of integers
    Lexikon der mathematik entry id 2321
    Instance of
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ [[Property:P12975]]: 2321, Matched to [[:toollabs:mix-n-match/#/entry/168752681|ceil-Funktion (#168752681)]] in [[:toollabs:mix-n-match/#/catalog/6422|spektrum.de Lexikon "
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