Liouville's formula

expresses the determinant of a solution of a 1st-order system of homogeneous linear differential equations
Intangible theorem Q1827325
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Liouville's formula

Summary

Liouville's formula is a theorem[1]. It draws 222 Wikipedia views per month (theorem category, ranking #239 of 1,306).[2]

Key Facts

  • Liouville's formula's instance of is recorded as theorem[3].
  • Joseph Liouville is named after Liouville's formula[4].
  • Mikhail Ostrogradsky is named after Liouville's formula[5].
  • Liouville's formula's solved by is recorded as Mikhail Ostrogradsky[6].
  • Liouville's formula's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Liouville's formula's instance of is recorded as theorem[3].

Origins

Things named after include Joseph Liouville[4], a mathematician[8], 1809–1882[9], of France[10], awarded the Commander of the Legion of Honour[11], specialised in mathematical analysis[12] and Mikhail Ostrogradsky[5], a physicist[13], 1801–1861[14], of Russian Empire[15], awarded the Order of Saint Anna, 3rd class[16], specialised in mathematical analysis[17].

Why It Matters

Liouville's formula draws 222 Wikipedia views per month (theorem category, ranking #239 of 1,306).[2] It has Wikipedia articles in 6 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.

Inline context (facts about related entities)

  1. [8] . Wikidata. wikidata.org. → on this site
  2. [9] . Wikidata. wikidata.org. → on this site
  3. [10] . Wikidata. wikidata.org. → on this site
  4. [11] . Wikidata. wikidata.org. → on this site
  5. [12] . Wikidata. wikidata.org. → on this site
  6. [13] . Wikidata. wikidata.org. → on this site
  7. [14] . Wikidata. wikidata.org. → on this site
  8. [15] . Wikidata. wikidata.org. → on this site
  9. [16] . Wikidata. wikidata.org. → on this site
  10. [17] . Wikidata. wikidata.org. → on this site

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). Liouville's formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/liouville-s-formula
MLA “Liouville's formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/liouville-s-formula.
BibTeX @misc{4ortxyz_liouville-s-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Liouville's formula}}, year = {2026}, url = {https://4ort.xyz/entity/liouville-s-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Liouville's formula — https://4ort.xyz/entity/liouville-s-formula (retrieved 2026-05-03)

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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. 3d ago · Infovarius · 2026-09-18 view diff on Wikidata ↗
    Instance of theorem
    Named after Joseph Liouville, Mikhail Ostrogradsky
    Maintained by wikiproject WikiProject Mathematics
    Instance of
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update-languages-short:0||ru, en */ via [[:w:ru:ВП:WE-F|WE-Framework gadget]] from zhwiki"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.