floor function

function that maps a real number x to the greatest integer less than or equal to x
Thing idempotent_function Q56860783
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floor function

Summary

floor function is an idempotent function[1]. It draws 75 Wikipedia views per month (idempotent_function category, ranking #2 of 3).[2]

Key Facts

  • floor function's instance of is recorded as idempotent function[3].
  • floor function's instance of is recorded as integer-valued function[4].
  • floor function's instance of is recorded as rounding[5].
  • floor function is part of floor and ceiling functions[6].
  • floor function is the opposite of ceiling function[7].
  • floor function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
  • floor function's definition domain is recorded as set of real numbers[9].
  • floor function's different from is recorded as integer part[10].
  • floor function's image of function is recorded as set of integers[11].
  • floor function's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

Recorded instance of include idempotent function[3], integer-valued function[4], and rounding[5]. floor function is the opposite of ceiling function[7].

Use and Application

floor function is part of floor and ceiling functions[6].

Why It Matters

floor function draws 75 Wikipedia views per month (idempotent_function category, ranking #2 of 3).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[13] It is known by 78 alternative names across languages and contexts.[14]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] ↑ . Wikidata sitelinks. wikidata.org.
  3. [14] ↑ . 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). floor function. Retrieved October 5, 2026, from https://4ort.xyz/entity/floor-function
MLA “floor function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 5 Oct. 2026, https://4ort.xyz/entity/floor-function.
BibTeX @misc{4ortxyz_floor-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{floor function}}, year = {2026}, url = {https://4ort.xyz/entity/floor-function}, note = {Accessed: 2026-10-05}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): floor function — https://4ort.xyz/entity/floor-function (retrieved 2026-10-05)

Canonical URL: https://4ort.xyz/entity/floor-function · Last refreshed:

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. 15d ago · AddyLockPool · 2026-09-22 view diff on Wikidata ↗
    Part of → —
    Image of function → set of integers
    Part of → floor and ceiling functions
    Aliases → —
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P2812]]: Floor"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.