Le calcul des résidus et ses applications à la théorie des fonctions
E518482
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Le calcul des résidus et ses applications à la théorie des fonctions canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T5425852 — 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: Le calcul des résidus et ses applications à la théorie des fonctions Context triple: [Ernst Lindelöf, notableWork, Le calcul des résidus et ses applications à la théorie des fonctions]
-
A.
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.
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B.
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.
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C.
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.
-
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.
Essai sur l’étude des fonctions données par leur développement de Taylor
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.
- 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: Le calcul des résidus et ses applications à la théorie des fonctions Target entity description: *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
-
A.
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.
-
B.
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.
-
C.
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.
-
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.
Essai sur l’étude des fonctions données par leur développement de Taylor
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.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ work on complex analysis ⓘ |
| about |
Cauchy residue theorem
ⓘ
Laurent series ⓘ applications of residues to real integrals ⓘ contour integration ⓘ evaluation of complex integrals ⓘ meromorphic functions ⓘ poles and essential singularities ⓘ residues of complex functions ⓘ series expansions of analytic functions ⓘ singularities of analytic functions ⓘ theory of analytic continuation ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| documentType | monograph ⓘ |
| field |
complex analysis
ⓘ
function theory ⓘ mathematics ⓘ |
| focusesOn |
applications of complex analysis
ⓘ
computational techniques for residues ⓘ |
| genre |
mathematics textbook
ⓘ
scientific literature ⓘ |
| hasPart |
applications to analytic functions
ⓘ
theory of residues ⓘ |
| hasSubject |
complex function theory
ⓘ
complex variable ⓘ residue theory ⓘ |
| intendedAudience |
advanced students of mathematics
ⓘ
mathematicians ⓘ |
| language | French ⓘ |
| mainTopic |
analytic functions
ⓘ
residue calculus ⓘ |
| relatedTo |
Cauchy’s integral theorem
ⓘ
linked to:
Cauchy integral theorem
residue theorem ⓘ
linked to:
Cauchy residue theorem
theory of analytic functions ⓘ |
| subjectArea | theory of functions of a complex variable ⓘ |
| title | Le calcul des résidus et ses applications à la théorie des fonctions ⓘ |
| usesConcept |
Cauchy integral formula
ⓘ
complex differentiation ⓘ complex integration ⓘ holomorphic functions ⓘ |
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: Le calcul des résidus et ses applications à la théorie des fonctions Description of subject: *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Ernst Lindelöf
→
notableWork
→
Le calcul des résidus et ses applications à la théorie des fonctions
ⓘ
Le calcul des résidus et ses applications à la théorie des fonctions
→
title
→
Le calcul des résidus et ses applications à la théorie des fonctions
ⓘ