Leçons sur les méthodes de Sturm
E599704
Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Leçons sur les méthodes de Sturm canonical | 4 |
| Sturm's theorem | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6606127 — 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: Leçons sur les méthodes de Sturm Context triple: [Maxime Bôcher, notableWork, Leçons sur les méthodes de Sturm]
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A.
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.
-
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.
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.
-
D.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
-
E.
Theorie der binären algebraischen Formen
"Theorie der binären algebraischen Formen" is a foundational 19th-century mathematical treatise by Alfred Clebsch on the theory of binary algebraic forms and invariants.
- 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: Leçons sur les méthodes de Sturm Target entity description: Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
-
A.
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.
-
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.
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.
-
D.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
-
E.
Theorie der binären algebraischen Formen
"Theorie der binären algebraischen Formen" is a foundational 19th-century mathematical treatise by Alfred Clebsch on the theory of binary algebraic forms and invariants.
- F. None of above. chosen
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author | Maxime Bôcher ⓘ |
| countryOfOrigin | France ⓘ |
| describes |
applications of Sturm's theorem to differential equations
ⓘ
applications of Sturm's theorem to real-rooted polynomials ⓘ systematic development of Sturm's methods ⓘ |
| educationalUse |
advanced undergraduate mathematics
ⓘ
graduate-level mathematics ⓘ |
| fieldOfWork |
algebra
ⓘ
analysis ⓘ differential equations ⓘ mathematics ⓘ |
| focusesOn |
Sturm sequences
ⓘ
Sturm–Liouville type methods ⓘ oscillation theory ⓘ real roots of polynomials ⓘ root-counting methods ⓘ |
| genre | mathematics literature ⓘ |
| hasAuthor | Maxime Bôcher ⓘ |
| intendedAudience |
advanced mathematics students
ⓘ
mathematicians ⓘ |
| language | French ⓘ |
| mainSubject |
Sturm's methods
ⓘ
Sturm's theorem ⓘ
linked to:
Leçons sur les méthodes de Sturm
ordinary differential equations ⓘ real analysis ⓘ real-rooted polynomials ⓘ theory of equations ⓘ |
| namedAfter | Charles-François Sturm ⓘ |
| notableWork | Leçons sur les méthodes de Sturm ⓘ |
| originalTitle | Leçons sur les méthodes de Sturm ⓘ |
| title | Leçons sur les méthodes de Sturm ⓘ |
| workOf | Maxime Bôcher ⓘ |
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: Leçons sur les méthodes de Sturm Description of subject: Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.