Fondamenti per la teorica delle funzioni di variabili reali
E877687
Fondamenti per la teorica delle funzioni di variabili reali is a foundational mathematical treatise by Ulisse Dini that helped formalize real analysis and the theory of real-valued functions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fondamenti per la teorica delle funzioni di variabili reali canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10660068 — 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: Fondamenti per la teorica delle funzioni di variabili reali Context triple: [Ulisse Dini, hasWork, Fondamenti per la teorica delle funzioni di variabili reali]
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A.
Lezioni di calcolo differenziale assoluto
"Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
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B.
Teoria delle funzioni potenziali
Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
-
C.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
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D.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
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E.
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.
- 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: Fondamenti per la teorica delle funzioni di variabili reali Target entity description: Fondamenti per la teorica delle funzioni di variabili reali is a foundational mathematical treatise by Ulisse Dini that helped formalize real analysis and the theory of real-valued functions.
-
A.
Lezioni di calcolo differenziale assoluto
"Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
-
B.
Teoria delle funzioni potenziali
Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
-
C.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
-
D.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
-
E.
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.
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| author | Ulisse Dini NERFINISHED ⓘ |
| contributedTo |
formalization of real analysis
ⓘ
theory of real-valued functions ⓘ |
| countryOfOrigin | Italy ⓘ |
| field |
mathematical analysis
ⓘ
real analysis ⓘ |
| hasSubject |
continuity of functions
ⓘ
differentiation ⓘ functions of a real variable ⓘ integration ⓘ limits of functions ⓘ rigorous foundations of calculus ⓘ series of functions ⓘ uniform convergence ⓘ |
| influenced | development of modern real analysis ⓘ |
| influencedBy | 19th-century rigorization of analysis ⓘ |
| language | Italian ⓘ |
| notableFor |
rigorous epsilon-delta methods in analysis
ⓘ
systematic treatment of real functions ⓘ |
| targetAudience |
advanced students of mathematics
ⓘ
mathematicians ⓘ |
| timePeriod | late 19th century ⓘ |
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: Fondamenti per la teorica delle funzioni di variabili reali Description of subject: Fondamenti per la teorica delle funzioni di variabili reali is a foundational mathematical treatise by Ulisse Dini that helped formalize real analysis and the theory of real-valued functions.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.