discrete Laplace operator

analog of the continuous Laplace operator
Thing general Q451881
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discrete Laplace operator

Summary

discrete Laplace operator ranks in the top 2% of general entities by monthly Wikipedia readership (150 views/month).[1]

Key Facts

  • discrete Laplace operator's video is recorded as Graph Laplacian Diffusion Example.gif[2].
  • discrete Laplace operator's subclass of is recorded as operator[3].
  • discrete Laplace operator's Commons category is recorded as Laplace filter[4].
  • discrete Laplace operator's Freebase ID is recorded as /m/04z3rg[5].
  • discrete Laplace operator's uses is recorded as Laplacian matrix[6].
  • discrete Laplace operator's defining formula is recorded as (\Delta\phi)(v)=\sum_{w\in V(\Gamma):\,d_\Gamma(w,v)=1}\left(\phi (v)-\phi (w)\right)[7].
  • discrete Laplace operator's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • discrete Laplace operator's Microsoft Academic ID is recorded as 2778609681[9].
  • discrete Laplace operator's in defining formula is recorded as \Delta[10].
  • discrete Laplace operator's in defining formula is recorded as \Gamma[11].
  • discrete Laplace operator's in defining formula is recorded as v[12].
  • discrete Laplace operator's in defining formula is recorded as d_\Gamma[13].

Why It Matters

discrete Laplace operator ranks in the top 2% of general entities by monthly Wikipedia readership (150 views/month).[1] It is known by 8 alternative names across languages and contexts.[14]

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] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . 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). discrete Laplace operator. Retrieved April 10, 2026, from https://4ort.xyz/entity/discrete-laplace-operator
MLA “discrete Laplace operator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/discrete-laplace-operator.
BibTeX @misc{4ortxyz_discrete-laplace-operator_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{discrete Laplace operator}}, year = {2026}, url = {https://4ort.xyz/entity/discrete-laplace-operator}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): discrete Laplace operator — https://4ort.xyz/entity/discrete-laplace-operator (retrieved 2026-04-10)

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