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harmonic function

function with vanishing Laplacian
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harmonic function

Summary

harmonic function has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • harmonic function is a type of biharmonic function[2].
  • harmonic function is a type of subharmonic function[3].
  • harmonic function's topic's main category is recorded as Category:Harmonic functions[4].
  • harmonic function's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

Recorded subclass of include biharmonic function[2] and subharmonic function[3].

Why It Matters

harmonic function has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[1]

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] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. 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). harmonic function. Retrieved April 10, 2026, from https://4ort.xyz/entity/harmonic-function
MLA “harmonic function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/harmonic-function.
BibTeX @misc{4ortxyz_harmonic-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{harmonic function}}, year = {2026}, url = {https://4ort.xyz/entity/harmonic-function}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): harmonic function — https://4ort.xyz/entity/harmonic-function (retrieved 2026-04-10)

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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. 6w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 2MD3pZ
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  2. 12w ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Great russian encyclopedia online id (2017) → 2344943
    Subclass of → —
    Aliases → —
    Subclass of → biharmonic function, subharmonic function
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007550735205171, mv to monolingual text names on J9U statements"
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