Traité des substitutions et des équations algébriques
E905424
Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Traité des substitutions et des équations algébriques canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11099194 — 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: Traité des substitutions et des équations algébriques Context triple: [Camille Jordan, notableWork, Traité des substitutions et des équations algébriques]
-
A.
Leçons sur les méthodes de Sturm
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.
-
B.
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.
-
C.
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.
-
D.
Traité des fonctions elliptiques et des intégrales eulériennes
Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
-
E.
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.
- 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: Traité des substitutions et des équations algébriques Target entity description: Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
-
A.
Leçons sur les méthodes de Sturm
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.
-
B.
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.
-
C.
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.
-
D.
Traité des fonctions elliptiques et des intégrales eulériennes
Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
-
E.
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.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
nonfiction book ⓘ treatise ⓘ |
| author | Camille Jordan NERFINISHED ⓘ |
| countryOfOrigin | France ⓘ |
| describedAs |
classic text in algebra
ⓘ
foundational work in group theory ⓘ |
| field |
Galois theory
NERFINISHED
ⓘ
abstract algebra ⓘ algebra ⓘ mathematics ⓘ |
| genre |
mathematical monograph
ⓘ
scientific literature ⓘ |
| hasAuthorNameString | Camille Jordan NERFINISHED ⓘ |
| hasPart |
applications to solvability of equations by radicals
ⓘ
discussion of substitution groups ⓘ treatment of permutation groups ⓘ |
| hasTopic |
Galois groups
ⓘ
algebraic equations ⓘ permutation groups ⓘ solvability of polynomial equations ⓘ structure of groups ⓘ substitution groups ⓘ theory of substitutions ⓘ |
| historicalPeriod | 19th-century mathematics ⓘ |
| impact |
helped establish group theory as an independent discipline
ⓘ
standard reference for group theory in the late 19th century ⓘ |
| influenced |
20th-century abstract algebra
ⓘ
Emmy Noether NERFINISHED ⓘ development of group theory in the late 19th century ⓘ |
| influencedBy |
Joseph-Louis Lagrange
NERFINISHED
ⓘ
Évariste Galois NERFINISHED ⓘ |
| mainSubject |
group theory
ⓘ
theory of algebraic equations ⓘ |
| notableFor |
influencing the development of modern algebra
ⓘ
systematic development of group theory ⓘ systematic treatment of algebraic equations ⓘ |
| originalLanguage | French ⓘ |
| publicationCentury | 19th century ⓘ |
| publicationYear | 1870 ⓘ |
| title | Traité des substitutions et des équations algébriques NERFINISHED ⓘ |
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: Traité des substitutions et des équations algébriques Description of subject: Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.