Denjoy
E850674
Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Denjoy canonical | 1 |
| Denjoy integral | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10216088 — 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: Denjoy Context triple: [Arnaud Denjoy, familyName, Denjoy]
-
A.
Smale horseshoe
The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
-
B.
Poincaré–Birkhoff fixed-point theorem
The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
-
C.
Du Bois-Reymond function
The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
-
D.
Khinchin
Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
-
E.
Weierstrass function
The Weierstrass function is a classic example in mathematical analysis of a continuous function that is nowhere differentiable, illustrating the counterintuitive behavior possible in real-valued 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: Denjoy Target entity description: Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
-
A.
Smale horseshoe
The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
-
B.
Poincaré–Birkhoff fixed-point theorem
The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
-
C.
Du Bois-Reymond function
The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
-
D.
Khinchin
Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
-
E.
Weierstrass function
The Weierstrass function is a classic example in mathematical analysis of a continuous function that is nowhere differentiable, illustrating the counterintuitive behavior possible in real-valued functions.
- F. None of above. chosen
Statements (18)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ surname ⓘ |
| associatedWith |
real analysis
ⓘ
theory of integration ⓘ |
| countryOfCitizenship | France ⓘ |
| countryOfOrigin | France ⓘ |
| familyName | Denjoy NERFINISHED ⓘ |
| fieldOfWork |
mathematics
ⓘ
real analysis ⓘ theory of integration ⓘ |
| givenName | Arnaud NERFINISHED ⓘ |
| knownFor |
contributions to real analysis
ⓘ
contributions to the theory of integration ⓘ |
| languageOfOrigin | French ⓘ |
| notableBearer | Arnaud Denjoy NERFINISHED ⓘ |
| notablyBorneBy | Arnaud Denjoy NERFINISHED ⓘ |
| usedAs | French surname ⓘ |
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: Denjoy Description of subject: Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Denjoy integral