virial theorem

general equation that relates the time-averaged total kinetic energy of a stable system consisting of N particles, bound by potential forces, with that of the time-averaged total potential energy
Intangible theorem Q620602
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virial theorem

Summary

virial theorem is a theorem[1]. It ranks in the top 5% of theorem entities by monthly Wikipedia readership (384 views/month).[2]

Key Facts

  • virial theorem's instance of is recorded as theorem[3].
  • virial theorem's part of is recorded as list of theorems[4].
  • virial theorem's Freebase ID is recorded as /m/0801t[5].
  • virial theorem's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[6].
  • virial theorem's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[7].
  • virial theorem's defining formula is recorded as \langle T\rangle = -\frac12\sum_i \langle \vec F_i \cdot\vec r_i\rangle[8].
  • virial theorem's Great Russian Encyclopedia Online ID is recorded as 1915871[9].
  • virial theorem's JSTOR topic ID is recorded as virial-theorem[10].
  • virial theorem's Wolfram Language entity code is recorded as Entity["PhysicalEffect", "VirialTheorem"][11].
  • virial theorem's World of Physics ID is recorded as VirialTheorem[12].
  • virial theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • virial theorem's Microsoft Academic ID is recorded as 189549420[14].
  • virial theorem's OpenAlex ID is recorded as C189549420[15].
  • virial theorem's Encyclopedia of China is recorded as 132706[16].

Why It Matters

virial theorem ranks in the top 5% of theorem entities by monthly Wikipedia readership (384 views/month).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[17] It is known by 20 alternative names across languages and contexts.[18]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). virial theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/virial-theorem
MLA “virial theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/virial-theorem.
BibTeX @misc{4ortxyz_virial-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{virial theorem}}, year = {2026}, url = {https://4ort.xyz/entity/virial-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): virial theorem — https://4ort.xyz/entity/virial-theorem (retrieved 2026-05-03)

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