Laplace operator

divergence of the gradient
Thing differential_operator Q203484
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Laplace operator

Summary

Laplace operator is a differential operator[1]. It draws 1,069 Wikipedia views per month (differential_operator category, ranking #1 of 4).[2]

Key Facts

  • Laplace operator's instance of is recorded as differential operator[3].
  • Laplace operator's instance of is recorded as vector Laplacian[4].
  • Laplace operator's instance of is recorded as vector operator[5].
  • Laplace operator's instance of is recorded as mathematical concept[6].
  • Pierre-Simon Laplace is named after Laplace operator[7].
  • Laplace operator's GND ID is recorded as 4166772-4[8].
  • Laplace operator's Library of Congress authority ID is recorded as sh85074667[9].
  • Laplace operator's NDL Authority ID is recorded as 01181008[10].
  • Laplace operator's Unicode character is recorded as Δ[11].
  • Laplace operator's Freebase ID is recorded as /m/017lmx[12].
  • Laplace operator's Gran Enciclopèdia Catalana ID is recorded as 0118878[13].
  • Laplace operator's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[14].
  • Laplace operator's Encyclopædia Britannica Online ID is recorded as topic/Laplace-operator[15].
  • Laplace operator's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/laplacian[16].
  • Laplace operator's definition domain is recorded as differentiable function[17].
  • Laplace operator's defining formula is recorded as \nabla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2}[18].
  • Laplace operator's MathWorld ID is recorded as Laplacian[19].
  • Laplace operator's Great Russian Encyclopedia Online ID is recorded as 2133203[20].
  • Laplace operator's nLab ID is recorded as Laplace operator[21].
  • Laplace operator's Great Norwegian Encyclopedia ID is recorded as Laplace-operatoren[22].
  • Laplace operator's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • Laplace operator's Microsoft Academic ID is recorded as 165700671[24].
  • Laplace operator's ProofWiki ID is recorded as Definition:Laplacian[25].
  • Laplace operator's in defining formula is recorded as \nabla^2[26].
  • Laplace operator's in defining formula is recorded as x[27].

Why It Matters

Laplace operator draws 1,069 Wikipedia views per month (differential_operator category, ranking #1 of 4).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[28] It is known by 42 alternative names across languages and contexts.[29]

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] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). Laplace operator. Retrieved May 3, 2026, from https://4ort.xyz/entity/laplace-operator
MLA “Laplace operator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/laplace-operator.
BibTeX @misc{4ortxyz_laplace-operator_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Laplace operator}}, year = {2026}, url = {https://4ort.xyz/entity/laplace-operator}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Laplace operator — https://4ort.xyz/entity/laplace-operator (retrieved 2026-05-03)

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