Bernoulli's inequality

inequality that (1+x)ⁿ ≥ 1+nx for x ≥ −1 and n∈ℕ
Thing inequality Q728662
Bernoulli's inequality
Oleg Alexandrov · Public Domain · Wikimedia
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Bernoulli's inequality

Summary

Bernoulli's inequality is an inequality[1]. It draws 74 Wikipedia views per month (inequality category, ranking #5 of 41).[2]

Key Facts

  • Bernoulli's inequality's image is recorded as Bernoulli inequality.svg[3].
  • Bernoulli's inequality's instance of is recorded as inequality[4].
  • Bernoulli's inequality's instance of is recorded as mathematical concept[5].
  • Jacob Bernoulli is named after Bernoulli's inequality[6].
  • Bernoulli's inequality's part of is recorded as theory of ordered fields[7].
  • Bernoulli's inequality's Commons category is recorded as Bernoulli inequality[8].
  • Bernoulli's inequality's Freebase ID is recorded as /m/01hsf[9].
  • Bernoulli's inequality's topic's main category is recorded as Category:Bernoulli inequality[10].
  • Bernoulli's inequality's Gran Enciclopèdia Catalana ID is recorded as 0009529[11].
  • Bernoulli's inequality's described by source is recorded as What is Mathematics?[12].
  • Bernoulli's inequality's defining formula is recorded as x \in \mathbb{R} \land x > 0 \land n \in \mathbb{N} \land n > 1 \implies (1+x)^n \geq 1+n\times x[13].
  • Bernoulli's inequality's MathWorld ID is recorded as BernoulliInequality[14].
  • Bernoulli's inequality's Quora topic ID is recorded as Bernoullis-Inequality[15].
  • Bernoulli's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Bernoulli's inequality's Microsoft Academic ID is recorded as 177180624[17].
  • Bernoulli's inequality's Treccani's Enciclopedia della Matematica ID is recorded as disuguaglianza-di-bernoulli[18].
  • Bernoulli's inequality's OpenAlex ID is recorded as C177180624[19].
  • Bernoulli's inequality's Gran Enciclopèdia Catalana ID is recorded as desigualtat-de-bernoulli[20].

Why It Matters

Bernoulli's inequality draws 74 Wikipedia views per month (inequality category, ranking #5 of 41).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[21] It is known by 16 alternative names across languages and contexts.[22]

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] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Insiemi, numeri e polinomi. mathworld.wolfram.com. Provenance: wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . Quora. wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  18. [20] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). Bernoulli's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/bernoulli-s-inequality
MLA “Bernoulli's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bernoulli-s-inequality.
BibTeX @misc{4ortxyz_bernoulli-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bernoulli's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/bernoulli-s-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bernoulli's inequality — https://4ort.xyz/entity/bernoulli-s-inequality (retrieved 2026-05-03)

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