Essai sur l’étude des fonctions données par leur développement de Taylor
E335909
Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
All labels observed (2)
How this entity was disambiguated
This entity first appeared as the object of triple T3167275 — 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: Essai sur l’étude des fonctions données par leur développement de Taylor Context triple: [Jacques Hadamard, notableWork, Essai sur l’étude des fonctions données par leur développement de Taylor]
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A.
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.
-
B.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
-
D.
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.
-
E.
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.
- 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: Essai sur l’étude des fonctions données par leur développement de Taylor Target entity description: Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
-
A.
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.
-
B.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
C.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
doctoral thesis ⓘ mathematical treatise ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| associatedWith |
École Normale (Paris)
ⓘ
surface form:
École Normale Supérieure
|
| author | Jacques Hadamard ⓘ |
| authorName | Jacques Hadamard ⓘ |
| contributionTo |
foundations of complex analysis
ⓘ
rigorous study of Taylor series expansions ⓘ theory of analytic functions ⓘ |
| countryOfOrigin | France ⓘ |
| documentType | research thesis ⓘ |
| field |
mathematical analysis
ⓘ
mathematics ⓘ |
| focusesOn |
analytic continuation
ⓘ
behavior of functions defined by Taylor series ⓘ convergence of Taylor series ⓘ growth of analytic functions ⓘ radius of convergence ⓘ singularities of analytic functions ⓘ |
| genre | scientific monograph ⓘ |
| hasAuthorNationality | French ⓘ |
| hasAuthorProfession | mathematician ⓘ |
| historicalSignificance | foundational work on functions defined by Taylor expansions ⓘ |
| influenced |
20th-century complex analysis
ⓘ
theory of entire functions ⓘ |
| influencedBy |
Brook Taylor
ⓘ
Joseph-Louis Lagrange ⓘ Karl Weierstrass ⓘ |
| language | French ⓘ |
| mainSubject |
Taylor series
ⓘ
analytic functions ⓘ complex analysis ⓘ |
| publicationCentury | 19th century ⓘ |
| relatedConcept |
Weierstrass factorization theorem
ⓘ
surface form:
Hadamard factorization theorem
entire functions ⓘ singularity structure of analytic functions ⓘ |
| relatedToAuthorWork | Hadamard’s later work on entire functions ⓘ |
| title | Essai sur l’étude des fonctions données par leur développement de Taylor self-link ⓘ |
| titleLanguage | fr ⓘ |
| topic |
analytic representation of functions
ⓘ
conditions for representability by Taylor series ⓘ power series ⓘ |
| translatedTitle |
Essai sur l’étude des fonctions données par leur développement de Taylor
self-linksurface differs
ⓘ
surface form:
Essay on the study of functions given by their Taylor development
|
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: Essai sur l’étude des fonctions données par leur développement de Taylor Description of subject: Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
Jacques Hadamard
→
notableWork
→
Essai sur l’étude des fonctions données par leur développement de Taylor
ⓘ
Essai sur l’étude des fonctions données par leur développement de Taylor
→
title
→
Essai sur l’étude des fonctions données par leur développement de Taylor
self-link
ⓘ
Essai sur l’étude des fonctions données par leur développement de Taylor
→
translatedTitle
→
Essai sur l’étude des fonctions données par leur développement de Taylor
self-linksurface differs
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this entity surface form:
Essay on the study of functions given by their Taylor development