“Leçons sur l’intégration et la recherche des fonctions primitives”
E898509
“Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Leçons sur l’intégration et la recherche des fonctions primitives | 1 |
| “Leçons sur l’intégration et la recherche des fonctions primitives” canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10992076 — 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: “Leçons sur l’intégration et la recherche des fonctions primitives” Context triple: [Henri Lebesgue, notableWork, “Leçons sur l’intégration et la recherche des fonctions primitives”]
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A.
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.
-
B.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
C.
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.
-
D.
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.
-
E.
Traité des fonctions elliptiques et des intégrales eulériennes
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.
- 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: “Leçons sur l’intégration et la recherche des fonctions primitives” Target entity description: “Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
-
A.
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.
-
B.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
C.
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.
-
D.
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.
-
E.
Traité des fonctions elliptiques et des intégrales eulériennes
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.
- F. None of above. chosen
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ mathematician ⓘ nonfiction work ⓘ |
| author | Henri Lebesgue ⓘ |
| authorInstanceOf | Henri Lebesgue ⓘ |
| contributedTo | foundations of modern real analysis ⓘ |
| countryOfOrigin | France ⓘ |
| field |
mathematics
ⓘ
measure theory ⓘ measure theory ⓘ real analysis ⓘ real analysis ⓘ |
| genre |
mathematics textbook
ⓘ
scientific monograph ⓘ |
| hasKeyConcept |
Lebesgue integral
ⓘ
linked to:
Lebesgue integration
Lebesgue measure ⓘ almost everywhere convergence ⓘ convergence theorems ⓘ generalization of Riemann integration ⓘ measurable functions ⓘ relationship between integrals and primitives ⓘ |
| influenced |
20th-century analysis
ⓘ
development of measure theory ⓘ modern integration theory ⓘ |
| isConsidered |
classic text on Lebesgue integration
ⓘ
foundational work in real analysis ⓘ |
| language | French ⓘ |
| mainSubject |
Lebesgue integration
ⓘ
antiderivatives ⓘ integration theory ⓘ primitive functions ⓘ |
| originalTitle | Leçons sur l’intégration et la recherche des fonctions primitives ⓘ |
| titleLanguage | fr ⓘ |
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: “Leçons sur l’intégration et la recherche des fonctions primitives” Description of subject: “Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Henri Lebesgue
→
notableWork
→
“Leçons sur l’intégration et la recherche des fonctions primitives”
ⓘ
Leçons sur l’intégration et la recherche des fonctions primitives
→
originalTitle
→
Leçons sur l’intégration et la recherche des fonctions primitives
ⓘ
subject linked to:
“Leçons sur l’intégration et la recherche des fonctions primitives”
linked to: “Leçons sur l’intégration et la recherche des fonctions primitives”