isoperimetric inequality

geometric inequality which sets a lower bound on the surface area of a set given its volume
Intangible theorem Q617417
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isoperimetric inequality

Summary

isoperimetric inequality is a theorem[1]. It draws 216 Wikipedia views per month (theorem category, ranking #154 of 1,306).[2]

Key Facts

  • isoperimetric inequality's instance of is recorded as theorem[3].
  • isoperimetric inequality's instance of is recorded as inequality[4].
  • isoperimetric inequality's instance of is recorded as compactness measure of a shape[5].
  • isoperimetric inequality's part of is recorded as list of theorems[6].
  • isoperimetric inequality's Commons category is recorded as Isoperimetric inequality[7].
  • isoperimetric inequality's Freebase ID is recorded as /m/01w4y0[8].
  • isoperimetric inequality's described by source is recorded as Armenian Soviet Encyclopedia, vol. 4[9].
  • isoperimetric inequality's Encyclopædia Britannica Online ID is recorded as topic/isoperimetric-problem[10].
  • isoperimetric inequality's defining formula is recorded as \operatorname{surf}(S)\ge n\operatorname{vol} (S)^{1-1/n}\operatorname{vol}(\mathbb B_1)^{\frac1n}[11].
  • isoperimetric inequality's MathWorld ID is recorded as IsoperimetricInequality[12].
  • isoperimetric inequality's Great Russian Encyclopedia Online ID is recorded as 2002864[13].
  • isoperimetric inequality's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • isoperimetric inequality's Microsoft Academic ID is recorded as 140142295[15].
  • isoperimetric inequality's OpenAlex ID is recorded as C140142295[16].
  • isoperimetric inequality's ScienceDirect topic ID is recorded as mathematics/isoperimetric-inequality[17].

Why It Matters

isoperimetric inequality draws 216 Wikipedia views per month (theorem category, ranking #154 of 1,306).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[18] It is known by 8 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] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [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). isoperimetric inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/isoperimetric-inequality
MLA “isoperimetric inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/isoperimetric-inequality.
BibTeX @misc{4ortxyz_isoperimetric-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{isoperimetric inequality}}, year = {2026}, url = {https://4ort.xyz/entity/isoperimetric-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): isoperimetric inequality — https://4ort.xyz/entity/isoperimetric-inequality (retrieved 2026-05-03)

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