Joseph Liouville
E259776
Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Joseph Liouville canonical | 17 |
| Liouville proved an early version in the 19th century | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2364647 — 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: Joseph Liouville Context triple: [Riemann–Liouville integral, namedAfter, Joseph Liouville]
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A.
Charles Hermite
Charles Hermite was a 19th-century French mathematician renowned for his work in number theory, algebra, and analysis, including the first proof that e is a transcendental number.
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B.
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.
-
C.
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.
-
D.
Augustin-Louis Cauchy
Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
-
E.
Adrien-Marie Legendre
Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
- 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: Joseph Liouville Target entity description: Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
-
A.
Charles Hermite
Charles Hermite was a 19th-century French mathematician renowned for his work in number theory, algebra, and analysis, including the first proof that e is a transcendental number.
-
B.
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.
-
C.
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.
-
D.
Augustin-Louis Cauchy
Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
-
E.
Adrien-Marie Legendre
Adrien-Marie Legendre was an influential 18th–19th century French mathematician known for major contributions to number theory, analysis, and mathematical statistics.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
French mathematician
ⓘ
human ⓘ mathematician ⓘ |
| centuryOfActivity | 19th century ⓘ |
| countryOfCitizenship | France ⓘ |
| educatedAt | École Polytechnique ⓘ |
| employer |
Collège de France
ⓘ
Faculté des sciences de Paris ⓘ École Polytechnique ⓘ |
| familyName |
Liouville
ⓘ
linked to:
Liouville numbers
|
| fieldOfWork |
complex analysis
ⓘ
differential equations ⓘ fractional calculus ⓘ mathematical physics ⓘ number theory ⓘ |
| founder | Joseph Liouville ⓘ |
| givenName | Joseph ⓘ |
| hasEponym |
Liouville equation
ⓘ
Liouville function ⓘ Liouville measure ⓘ Liouville number ⓘ
linked to:
Liouville numbers
Liouville surface ⓘ Liouville's theorem ⓘ |
| influenced |
later work of Charles Hermite
ⓘ
later work of Georg Cantor ⓘ transcendental number theory ⓘ |
| knownFor |
first proof of existence of transcendental numbers
ⓘ
foundational work in transcendental number theory ⓘ introduction of Liouville numbers ⓘ results in complex function theory ⓘ work on differential equations of mechanics ⓘ work on elliptic functions ⓘ work on fractional calculus ⓘ |
| languageOfWorkOrName | French ⓘ |
| memberOf |
Académie des sciences
ⓘ
linked to:
Académie des Sciences
|
| nativeLanguage | French ⓘ |
| notableAchievement |
founded the Journal de mathématiques pures et appliquées
ⓘ
introduced methods in potential theory ⓘ |
| notableWork |
Liouville function in number theory
ⓘ
linked to:
Liouville function
Liouville's equation in Hamilton–Jacobi theory ⓘ
linked to:
Liouville's theorem in Hamiltonian mechanics
Liouville's equation in statistical mechanics ⓘ
linked to:
Liouville's theorem in Hamiltonian mechanics
Liouville's inequality in Diophantine approximation ⓘ Liouville's theorem in Hamiltonian mechanics ⓘ Liouville's theorem in complex analysis ⓘ
linked to:
Liouville's theorem
construction of Liouville numbers ⓘ |
| occupation | mathematician ⓘ |
| sexOrGender | male ⓘ |
| workLocation | Paris ⓘ |
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: Joseph Liouville Description of subject: Joseph Liouville was a 19th-century French mathematician known for foundational contributions to number theory, complex analysis, and the early development of fractional calculus.
Referenced by (18)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Joseph Liouville
linked to: Joseph Liouville
subject linked to:
Liouville numbers
subject linked to:
Liouville numbers
subject linked to:
Liouville's theorem