Augustin-Louis Cauchy

E48438

Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.

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All labels observed (4)

Statements (65)

Predicate Object
instanceOf 19th-century mathematician
French mathematician
human
mathematician
almaMater École Polytechnique
École des Ponts et Chaussées
awardReceived Copley Medal
birthCountry France
birthDate 1789-08-21
birthPlace Paris
deathCountry France
deathDate 1857-05-23
deathPlace Sceaux, France
surface form: Sceaux
employer Bureau des Longitudes
Collège de France
La Sorbonne
surface form: Sorbonne

École Polytechnique
familyName Augustin-Louis Cauchy self-linksurface differs
surface form: Cauchy
field algebra
analysis
combinatorics
complex analysis
mathematical physics
mathematics
mechanics
number theory
fullName Augustin-Louis Cauchy self-linksurface differs
surface form: Baron Augustin-Louis Cauchy
givenName Augustin-Louis
hasTitle Baron
ideology Legitimism
influenced Bernhard Riemann
Karl Weierstrass
modern analysis
rigorous calculus
knownFor Cauchy condensation test
Cauchy convergence criterion
Cauchy determinant
Cauchy distribution
Cauchy integral formula
Cauchy integral theorem
Cauchy interlacing theorem
Cauchy matrix
Cauchy principal value
Cauchy problem
Cauchy residue theorem
Cauchy sequence
Cauchy stress tensor
Cauchy–Euler equation
Cauchy–Hadamard theorem
Cauchy–Kovalevskaya theorem
surface form: Cauchy–Kowalevski theorem

Cauchy–Riemann equations
Cauchy–Schwarz inequality
foundations of complex analysis
rigorous foundations of analysis
rigorous foundations of calculus
languageOfWorkOrName French
memberOf Académie des Sciences
Académie des Sciences
surface form: French Academy of Sciences

Royal Society
Royal Swedish Academy of Sciences
nationality French
notableWork Cours d’Analyse
Cours d’Analyse
surface form: Résumé des leçons sur le calcul infinitésimal
religion Roman Catholicism
workPeriod 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: Augustin-Louis Cauchy
Description of subject: Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.

Referenced by (36)

Full triples — surface form annotated when it differs from this entity's canonical label.

Bernhard Riemann influencedBy Augustin-Louis Cauchy
Karl Weierstrass influencedBy Augustin-Louis Cauchy
Augustin-Louis Cauchy fullName Augustin-Louis Cauchy self-linksurface differs
this entity surface form: Baron Augustin-Louis Cauchy
Augustin-Louis Cauchy familyName Augustin-Louis Cauchy self-linksurface differs
this entity surface form: Cauchy
Évariste Galois influencedBy Augustin-Louis Cauchy
Mare Tranquillitatis containsCrater Augustin-Louis Cauchy
this entity surface form: Cauchy
Cauchy–Kovalevskaya theorem namedAfter Augustin-Louis Cauchy
Claude-Louis influencedBy Augustin-Louis Cauchy
subject surface form: Claude-Louis Navier
Augustin-Louis familyName Augustin-Louis Cauchy
subject surface form: Augustin-Louis Cauchy
this entity surface form: Cauchy
Augustin-Louis usedBy Augustin-Louis Cauchy
Cauchy sequence namedAfter Augustin-Louis Cauchy
Cauchy integral theorem namedAfter Augustin-Louis Cauchy
Cauchy–Riemann equations namedAfter Augustin-Louis Cauchy
Cauchy convergence criterion namedAfter Augustin-Louis Cauchy
Cauchy distribution namedAfter Augustin-Louis Cauchy
Cauchy problem namedAfter Augustin-Louis Cauchy
Cauchy stress tensor namedAfter Augustin-Louis Cauchy
Cauchy–Schwarz inequality namedAfter Augustin-Louis Cauchy
Cauchy–Euler equation namedAfter Augustin-Louis Cauchy
Cauchy–Hadamard theorem namedAfter Augustin-Louis Cauchy
Cauchy condensation test attributedTo Augustin-Louis Cauchy
Cauchy condensation test namedAfter Augustin-Louis Cauchy
Cauchy principal value namedAfter Augustin-Louis Cauchy
Cauchy matrix namedAfter Augustin-Louis Cauchy
Cauchy determinant namedAfter Augustin-Louis Cauchy
Cauchy interlacing theorem namedAfter Augustin-Louis Cauchy
Cauchy residue theorem namedAfter Augustin-Louis Cauchy
Cours d’Analyse author Augustin-Louis Cauchy
Cours d’Analyse authorInstanceOf Augustin-Louis Cauchy
Cauchy integral formula namedAfter Augustin-Louis Cauchy
Enrico Betti influencedBy Augustin-Louis Cauchy
Cauchy horizon namedAfter Augustin-Louis Cauchy
this entity surface form: Augustin-Louis Cauchy (via Cauchy problem terminology)
Cauchy functional equation namedAfter Augustin-Louis Cauchy