Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
E63714
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T511416 — 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: Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes Context triple: [Niels Henrik Abel, notableWork, Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes]
-
A.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Über die Bildung des Formensystems der ternären biquadratischen Form
"Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
-
D.
Comptes rendus de l’Académie des sciences
Comptes rendus de l’Académie des sciences is a long-running French scientific journal that publishes research reports and communications across a wide range of scientific disciplines.
-
E.
Gauss’s constant
Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
- 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: Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes Target entity description: 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.
-
A.
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Über die Bildung des Formensystems der ternären biquadratischen Form
"Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
-
D.
Comptes rendus de l’Académie des sciences
Comptes rendus de l’Académie des sciences is a long-running French scientific journal that publishes research reports and communications across a wide range of scientific disciplines.
-
E.
Gauss’s constant
Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
- F. None of above. chosen
Statements (20)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical paper
ⓘ
mathematician ⓘ scientific publication ⓘ |
| author | Niels Henrik Abel ⓘ |
| contribution |
development of fundamental results on transcendental functions
ⓘ
groundwork for modern analysis ⓘ |
| describedAs | seminal mathematical paper ⓘ |
| era | 19th-century mathematics ⓘ |
| field |
mathematical analysis
ⓘ
mathematics ⓘ |
| focusesOn | general properties of a broad class of transcendental functions ⓘ |
| hasAuthorNationality |
Norwegian language
ⓘ
surface form:
Norwegian
|
| influenced |
development of complex analysis
ⓘ
theory of analytic functions ⓘ |
| knownFor |
foundational contributions to analysis
ⓘ
work on elliptic functions ⓘ |
| language | French ⓘ |
| nationality | Norwegian ⓘ |
| notableWorkOf | Niels Henrik Abel ⓘ |
| topic | transcendental 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: Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Niels Henrik Abel
→
notableWork
→
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
ⓘ