function iteration

mathematical operation of composing a function with itself repeatedly
Thing higher_order_function Q5254619
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function iteration

Summary

function iteration is a higher-order function[1]. It draws 106 Wikipedia views per month (higher_order_function category, ranking #2 of 3).[2]

Key Facts

  • function iteration's instance of is recorded as higher-order function[3].
  • function iteration's instance of is recorded as binary function[4].
  • function iteration's subclass of is recorded as function composition[5].
  • function iteration's opposite of is recorded as functional square root[6].
  • function iteration's Freebase ID is recorded as /m/052f9m[7].
  • function iteration's notation is recorded as superscript[8].
  • function iteration's product or material produced is recorded as iterated function[9].
  • function iteration's definition domain is recorded as set[10].
  • function iteration's different from is recorded as function composition[11].
  • function iteration's different from is recorded as iterated function[12].
  • function iteration's different from is recorded as exponentiation[13].
  • function iteration's uses is recorded as iteration[14].
  • function iteration's uses is recorded as function composition[15].
  • function iteration's uses is recorded as identity function[16].
  • function iteration's defining formula is recorded as \begin{cases} f^0 = \mathrm{identity} \ f^n = f \circ f^{n - 1} & \forall n \in \mathbb{Z}^+ \end{cases}[17].
  • function iteration's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • function iteration's Microsoft Academic ID is recorded as 140479938[19].
  • function iteration's Lex ID is recorded as iteration_-_matematisk_begreb[20].
  • function iteration's OpenAlex ID is recorded as C140479938[21].
  • function iteration's Great Russian Encyclopedia portal ID is recorded as iteratsiia-959dfc[22].

Why It Matters

function iteration draws 106 Wikipedia views per month (higher_order_function category, ranking #2 of 3).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[23] It is known by 10 alternative names across languages and contexts.[24]

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] . Freebase Data Dumps. 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.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [22] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . 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). function iteration. Retrieved May 3, 2026, from https://4ort.xyz/entity/function-iteration
MLA “function iteration.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/function-iteration.
BibTeX @misc{4ortxyz_function-iteration_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{function iteration}}, year = {2026}, url = {https://4ort.xyz/entity/function-iteration}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): function iteration — https://4ort.xyz/entity/function-iteration (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/function-iteration · 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. 18d ago · Warudo · 2026-05-02 view diff on Wikidata ↗
    In defining formula ['f', '\\circ', '\\mathrm{identity}', 'f^n', 'f^{\\circ n}']
    Has effect Q78079020
    Defining formula \begin{cases} f^0 = \mathrm{identity} \\ f^n = f \circ f^{n
    Product or material produced iterated function
    "/* wbeditentity-statements-multiple-properties-update:0||2 */ Moving [[Property:P1056]] to [[Property:P1542]]"
  2. 19d ago · Warudo · 2026-05-01 view diff on Wikidata ↗
    In defining formula ['f', '\\circ', '\\mathrm{identity}', 'f^n', 'f^{\\circ n}']
    Defining formula \begin{cases} f^0 = \mathrm{identity} \\ f^n = f \circ f^{n
    "/* wbsetclaim-update:2||1 */ [[Property:P2534]]: f^n = \begin{cases} \mathrm{identity}, n = 0 \\ f \circ f^{n - 1} & if n \in \mathbb{Z}^+ \end{cases}"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.