Jacques Hadamard
E66240
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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Jacques Hadamard canonical | 18 |
| Hadamard | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T515591 — 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: Jacques Hadamard Context triple: [École Polytechnique, hasAlumnus, Jacques Hadamard]
-
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.
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B.
Henri Poincaré
Henri Poincaré was a French mathematician, theoretical physicist, and philosopher of science renowned for his foundational contributions to topology, dynamical systems, and the theory of relativity.
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C.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
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.
David Hilbert
David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
- 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: Jacques Hadamard Target entity description: 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.
-
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.
Henri Poincaré
Henri Poincaré was a French mathematician, theoretical physicist, and philosopher of science renowned for his foundational contributions to topology, dynamical systems, and the theory of relativity.
-
C.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
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.
David Hilbert
David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
French mathematician
ⓘ
human ⓘ mathematician ⓘ |
| awardReceived |
Bordin Prize
ⓘ
Grand Prix of the French Academy of Sciences ⓘ
surface form:
Grand Prix des Sciences Mathématiques
Poncelet Prize ⓘ |
| birthDate | 1865-12-08 ⓘ |
| birthPlace |
Versailles
ⓘ
surface form:
Versailles, France
|
| countryOfCitizenship | France ⓘ |
| deathDate | 1963-10-17 ⓘ |
| deathPlace |
Paris
ⓘ
surface form:
Paris, France
|
| educatedAt |
Panthéon-Sorbonne University
ⓘ
surface form:
University of Paris
École Normale (Paris) ⓘ
surface form:
École Normale Supérieure
|
| employer |
Collège de France
ⓘ
La Sorbonne ⓘ
surface form:
Sorbonne
École Polytechnique ⓘ |
| familyName |
Jacques Hadamard
self-linksurface differs
ⓘ
surface form:
Hadamard
|
| fieldOfWork |
complex analysis
ⓘ
differential geometry ⓘ functional analysis ⓘ mathematics ⓘ number theory ⓘ partial differential equations ⓘ |
| givenName | Jacques ⓘ |
| influenced |
20th-century analysis
ⓘ
the development of modern PDE theory ⓘ the mathematical theory of prime distribution ⓘ |
| knownFor |
Weierstrass factorization theorem
ⓘ
surface form:
Hadamard factorization theorem
Hadamard inequality ⓘ Hadamard matrices ⓘ Hadamard product (of power series) ⓘ Hadamard three-circle theorem ⓘ Cauchy problem ⓘ
surface form:
Hadamard well-posedness
Hadamard’s example of ill-posed problems ⓘ contributions to the calculus of variations ⓘ contributions to the theory of determinants ⓘ contributions to the theory of entire functions ⓘ contributions to the theory of partial differential equations ⓘ prime number theorem ⓘ work on geodesics and negative curvature ⓘ |
| memberOf |
Académie des Sciences
ⓘ
Académie des Sciences ⓘ
surface form:
French Academy of Sciences
|
| name | Jacques Hadamard self-link ⓘ |
| notableIdea |
definition of well-posed problems in mathematical physics
ⓘ
use of complex analysis in number theory ⓘ |
| notableWork |
Essai sur l’étude des fonctions données par leur développement de Taylor
ⓘ
Taylor series ⓘ
surface form:
La série de Taylor et son prolongement analytique
Lectures on Cauchy’s problem in linear partial differential equations ⓘ Leçons sur la propagation des ondes et les équations de l’hydrodynamique ⓘ |
| positionHeld | professor of mathematics ⓘ |
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: Jacques Hadamard Description of subject: 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.
Referenced by (19)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Hadamard
subject surface form:
Hadamard matrix
Leçons sur la propagation des ondes et les équations de l’hydrodynamique
→
author
→
Jacques Hadamard
ⓘ
subject surface form:
Lectures on Cauchy’s Problem in Linear Partial Differential Equations
Essai sur l’étude des fonctions données par leur développement de Taylor
→
author
→
Jacques Hadamard
ⓘ
Essai sur l’étude des fonctions données par leur développement de Taylor
→
authorName
→
Jacques Hadamard
ⓘ