Legendre transformation

involutive transformation on real-valued convex functions of one real variable
Thing transformation Q908652
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Legendre transformation

Summary

Legendre transformation is a transformation[1]. It draws 145 Wikipedia views per month (transformation category, ranking #3 of 13).[2]

Key Facts

  • Legendre transformation's image is recorded as Legendre a.png[3].
  • Legendre transformation's instance of is recorded as transformation[4].
  • Legendre transformation's instance of is recorded as mathematical concept[5].
  • Adrien-Marie Legendre is named after Legendre transformation[6].
  • Legendre transformation's Commons category is recorded as Legendre transformation[7].
  • Legendre transformation's Freebase ID is recorded as /m/022lby[8].
  • Legendre transformation's different from is recorded as Legendre transform[9].
  • Legendre transformation's defining formula is recorded as f^(x^)=\sup_{x\in I}(x^*x-f(x))[10].
  • Legendre transformation's studied by is recorded as convex analysis[11].
  • Legendre transformation's MathWorld ID is recorded as LegendreTransformation[12].
  • Legendre transformation's nLab ID is recorded as Legendre transformation[13].
  • Legendre transformation's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Legendre transformation's Microsoft Academic ID is recorded as 116594300[15].
  • Legendre transformation's in defining formula is recorded as f^*[16].
  • Legendre transformation's in defining formula is recorded as f[17].
  • Legendre transformation's Namuwiki ID is recorded as 르장드르 변환[18].
  • Legendre transformation's OpenAlex ID is recorded as C116594300[19].
  • Legendre transformation's Great Russian Encyclopedia portal ID is recorded as preobrazovanie-lezhandra-708810[20].

Why It Matters

Legendre transformation draws 145 Wikipedia views per month (transformation category, ranking #3 of 13).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[21] It is known by 10 alternative names across languages and contexts.[22]

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] . Freebase Data Dumps. 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] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  18. [20] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). Legendre transformation. Retrieved May 3, 2026, from https://4ort.xyz/entity/legendre-transformation
MLA “Legendre transformation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/legendre-transformation.
BibTeX @misc{4ortxyz_legendre-transformation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Legendre transformation}}, year = {2026}, url = {https://4ort.xyz/entity/legendre-transformation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Legendre transformation — https://4ort.xyz/entity/legendre-transformation (retrieved 2026-05-03)

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