Arnaud Denjoy
E242444
Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Arnaud Denjoy canonical | 3 |
| Adrien Douady | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2139583 — 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: Arnaud Denjoy Context triple: [Jacques Herbrand, studiedUnder, Arnaud Denjoy]
-
A.
Émile Picard
Émile Picard was a prominent French mathematician known for his fundamental contributions to complex analysis and algebraic geometry, including Picard's theorems.
-
B.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
-
C.
Jacques Hadamard
Jacques Hadamard was a prominent French mathematician known for his fundamental contributions to number theory, complex analysis, and partial differential equations, including the prime number theorem and the concept of well-posed problems.
-
D.
Ernest Vessiot
Ernest Vessiot was a French mathematician known for his contributions to differential equations and differential Galois theory, and for his influential role in French mathematical education.
-
E.
Émile Bénard
Émile Bénard was a French architect and painter of the late 19th and early 20th centuries, known for his Beaux-Arts style and major public commissions in France and abroad.
- 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: Arnaud Denjoy Target entity description: Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
-
A.
Émile Picard
Émile Picard was a prominent French mathematician known for his fundamental contributions to complex analysis and algebraic geometry, including Picard's theorems.
-
B.
Maxime Bôcher
Maxime Bôcher was an American mathematician known for his work in differential equations and analysis, and for his influential role in early 20th-century American mathematics.
-
C.
Jacques Hadamard
Jacques Hadamard was a prominent French mathematician known for his fundamental contributions to number theory, complex analysis, and partial differential equations, including the prime number theorem and the concept of well-posed problems.
-
D.
Ernest Vessiot
Ernest Vessiot was a French mathematician known for his contributions to differential equations and differential Galois theory, and for his influential role in French mathematical education.
-
E.
Émile Bénard
Émile Bénard was a French architect and painter of the late 19th and early 20th centuries, known for his Beaux-Arts style and major public commissions in France and abroad.
- F. None of above. chosen
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
French mathematician
ⓘ
human ⓘ mathematician ⓘ |
| areaOfInfluence | European mathematics ⓘ |
| birthCountry | France ⓘ |
| birthDate | 1884-01-05 ⓘ |
| birthPlace | Auch ⓘ |
| centuryOfActivity | 20th century ⓘ |
| countryOfCitizenship | France ⓘ |
| deathCountry | France ⓘ |
| deathDate | 1974-01-21 ⓘ |
| deathPlace | Paris ⓘ |
| employer |
La Sorbonne
ⓘ
surface form:
University of Paris
|
| familyName | Denjoy ⓘ |
| fieldOfWork |
integration theory
ⓘ
mathematics ⓘ measure theory ⓘ real analysis ⓘ trigonometric series ⓘ |
| gender | male ⓘ |
| givenName | Arnaud ⓘ |
| hasAcademicDiscipline |
analysis
ⓘ
pure mathematics ⓘ |
| influencedBy |
Henri Lebesgue
ⓘ
Émile Borel ⓘ |
| knownFor |
Henstock–Kurzweil integral
ⓘ
surface form:
Denjoy integral
Denjoy–Young–Saks theorem ⓘ work on quasi-analytic functions ⓘ work on singular functions ⓘ work on trigonometric series ⓘ |
| languageOfWorkOrName | French ⓘ |
| memberOf |
Académie des Sciences
ⓘ
Académie des Sciences ⓘ
surface form:
French Academy of Sciences
|
| name | Arnaud Denjoy self-link ⓘ |
| nationality | French ⓘ |
| notableConcept |
Denjoy
ⓘ
surface form:
Denjoy integral
Denjoy–Young–Saks theorem ⓘ |
| notableStudent |
Jean Dieudonné
ⓘ
Laurent Schwartz ⓘ |
| occupation | university professor ⓘ |
| studied |
Fourier series
ⓘ
Lebesgue integration ⓘ differentiation of functions of a real variable ⓘ |
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: Arnaud Denjoy Description of subject: Arnaud Denjoy was a French mathematician known for his contributions to real analysis, particularly in the theory of integration and trigonometric series.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Adrien Douady