curl

differential operator describing the rotation at a point in a 3D vector field
Thing general Q206310
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curl

Summary

curl ranks in the top 2% of general entities by monthly Wikipedia readership (1,047 views/month).[1]

Key Facts

  • curl's image is recorded as Poiseuille profile.png[2].
  • curl's GND ID is recorded as 4178485-6[3].
  • curl's subclass of is recorded as differential operator[4].
  • curl's subclass of is recorded as vector operator[5].
  • curl's Freebase ID is recorded as /m/01t_h[6].
  • curl's Gran Enciclopèdia Catalana ID is recorded as 0140168[7].
  • curl's Gran Enciclopèdia Catalana ID is recorded as 0095551[8].
  • curl's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[9].
  • curl's Encyclopædia Britannica Online ID is recorded as science/curl[10].
  • curl's different from is recorded as Rotacja[11].
  • curl's different from is recorded as gradient[12].
  • curl's different from is recorded as rotor[13].
  • curl's defining formula is recorded as \nabla \times \boldsymbol{F} = \lim_{V \to 0} \frac{1}{V} \oint\limits_S \boldsymbol{e}_{\mathrm{n}} \times \boldsymbol{F} \, \mathrm{d} A[14].
  • curl's defining formula is recorded as (\nabla \times \boldsymbol{F})i = \sum_j \sum_k \varepsilon{i j k} \frac{\partial F_k}{\partial x_j}[15].
  • curl's defining formula is recorded as \nabla \times \boldsymbol{F} = \begin{pmatrix} \frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} \ \frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} \ \frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} \end{pmatrix}[16].
  • curl's MathWorld ID is recorded as Curl[17].
  • curl's NE.se ID is recorded as curl[18].
  • curl's Treccani ID is recorded as rotore[19].
  • curl's Zhihu topic ID is recorded as 19669861[20].
  • curl's Open Library subject ID is recorded as curl_(vectors)[21].
  • curl's nLab ID is recorded as curl[22].
  • curl's Great Norwegian Encyclopedia ID is recorded as curl[23].
  • curl's schematic is recorded as Curl.svg[24].
  • curl's Treccani Vocabulary ID is recorded as rotore[25].
  • curl's maintained by WikiProject is recorded as WikiProject Mathematics[26].

Why It Matters

curl ranks in the top 2% of general entities by monthly Wikipedia readership (1,047 views/month).[1] curl has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[27] curl is known by 40 alternative names across languages and contexts.[28]

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.
  5. [6] . Freebase Data Dumps. 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.
  13. [14] . International Electrotechnical Vocabulary. wikidata.org.
  14. [15] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). curl. Retrieved April 10, 2026, from https://4ort.xyz/entity/curl-q206310-2
MLA “curl.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/curl-q206310-2.
BibTeX @misc{4ortxyz_curl-q206310-2_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{curl}}, year = {2026}, url = {https://4ort.xyz/entity/curl-q206310-2}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): curl — https://4ort.xyz/entity/curl-q206310-2 (retrieved 2026-04-10)

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