Traité des fonctions elliptiques et des intégrales eulériennes
E695817
Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Legendre’s Traité des fonctions elliptiques | 1 |
| Traité des fonctions elliptiques et des intégrales eulériennes canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7861121 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Traité des fonctions elliptiques et des intégrales eulériennes Context triple: [Adrien-Marie Legendre, notableWork, Traité des fonctions elliptiques et des intégrales eulériennes]
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A.
Recherches sur les fonctions elliptiques
Recherches sur les fonctions elliptiques is a foundational mathematical treatise by Niels Henrik Abel that significantly advanced the theory of elliptic functions and laid groundwork for modern complex analysis.
-
B.
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
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D.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Traité des fonctions elliptiques et des intégrales eulériennes Target entity description: Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
-
A.
Recherches sur les fonctions elliptiques
Recherches sur les fonctions elliptiques is a foundational mathematical treatise by Niels Henrik Abel that significantly advanced the theory of elliptic functions and laid groundwork for modern complex analysis.
-
B.
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
D.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
- F. None of above. chosen
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author | Adrien-Marie Legendre ⓘ |
| contribution |
systematic development of elliptic functions
ⓘ
systematic treatment of Eulerian integrals ⓘ |
| countryOfOrigin | France ⓘ |
| describedAs | foundational work in the theory of elliptic functions ⓘ |
| field |
analysis
ⓘ
mathematics ⓘ |
| genre |
mathematical monograph
ⓘ
scientific literature ⓘ |
| hasAuthorRole | Adrien-Marie Legendre ⓘ |
| historicalPeriod | 19th-century mathematics ⓘ |
| influenced |
development of complex analysis
ⓘ
later 19th-century work on elliptic functions ⓘ |
| language | French ⓘ |
| mainSubject |
Eulerian integrals
ⓘ
linked to:
Selberg integral
elliptic functions ⓘ |
| namedAfter | elliptic functions ⓘ |
| publicationCentury | 19th century ⓘ |
| topic |
Eulerian integrals
ⓘ
linked to:
Selberg integral
elliptic integrals ⓘ special functions ⓘ |
| usedIn |
history of mathematics studies
ⓘ
research on elliptic functions ⓘ |
| workOf | Adrien-Marie Legendre ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Traité des fonctions elliptiques et des intégrales eulériennes Description of subject: Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Adrien-Marie Legendre
→
notableWork
→
Traité des fonctions elliptiques et des intégrales eulériennes
ⓘ
Legendre’s relation for elliptic integrals
→
appearsIn
→
Legendre’s Traité des fonctions elliptiques
ⓘ
linked to: Traité des fonctions elliptiques et des intégrales eulériennes