rectangular function

function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
Thing general Q946860
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rectangular function

Summary

rectangular function ranks in the top 2% of general entities by monthly Wikipedia readership (194 views/month).[1]

Key Facts

  • rectangular function's image is recorded as Rectangular function.svg[2].
  • rectangular function's subclass of is recorded as boxcar function[3].
  • rectangular function's Commons category is recorded as Rectangular function[4].
  • rectangular function's Freebase ID is recorded as /m/04n388[5].
  • rectangular function's defining formula is recorded as \operatorname{rect}(t) = \begin{cases}0 & \text{if } |t| > \frac{1}{2} \[3pt] \frac{1}{2} & \text{if } |t| = \frac{1}{2} \[3pt] 1 & \text{if } |t| < \frac{1}{2}\end{cases}[6].
  • rectangular function's defining formula is recorded as \operatorname{rect}(t) = \begin{cases}1 & \text{if } |t| < \frac{1}{2} \ 0 & \text{otherwise}\end{cases}<sup id="cite-C6" class="cite-ref" title="rectangular function — defining formula (P2534): \operatorname{rect}(t) = \begin{cases}1 & \text{if } |t| < \frac{1}{2} \ 0 & \text{otherwise}\end{cases}">[7].
  • rectangular function's defining formula is recorded as \operatorname{rect}(t) = \begin{cases}1 & \text{if } |t| \leq \frac{1}{2} \ 0 & \text{otherwise}\end{cases}[8].
  • rectangular function's MathWorld ID is recorded as RectangleFunction[9].
  • rectangular function's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • rectangular function's Microsoft Academic ID is recorded as 101913822[11].

Why It Matters

rectangular function ranks in the top 2% of general entities by monthly Wikipedia readership (194 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[12] It is known by 8 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). rectangular function. Retrieved April 10, 2026, from https://4ort.xyz/entity/rectangular-function
MLA “rectangular function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/rectangular-function.
BibTeX @misc{4ortxyz_rectangular-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rectangular function}}, year = {2026}, url = {https://4ort.xyz/entity/rectangular-function}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rectangular function — https://4ort.xyz/entity/rectangular-function (retrieved 2026-04-10)

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