Carl
E185515
Carl is the given name of the 19th-century German mathematician Carl Gustav Jacob Jacobi, renowned for his foundational work in elliptic functions and other areas of mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Carl canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1615186 — 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: Carl Context triple: [Carl Gustav Jacob Jacobi, givenName, Carl]
-
A.
Carl
Carl is the given name of Carl Sagan, the renowned American astronomer, science communicator, and author.
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B.
Carl
Carl is the given name of Charles I Louis, the 17th-century Elector Palatine of the Rhine in the Holy Roman Empire.
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C.
Charlie
Charlie is the fictional Boston subway rider in the folk song "Charlie on the MTA," known for being unable to get off the train because he lacks the fare to exit.
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D.
Charlie
Charlie was the third nuclear test in the U.S. Operation Crossroads series, planned as an underwater detonation to study the effects of nuclear weapons on naval vessels.
-
E.
Harold
Harold is a masculine given name of Old English origin, historically borne by several notable figures including kings and modern public personalities.
- 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: Carl Target entity description: Carl is the given name of the 19th-century German mathematician Carl Gustav Jacob Jacobi, renowned for his foundational work in elliptic functions and other areas of mathematics.
-
A.
Carl
Carl is the given name of Carl Sagan, the renowned American astronomer, science communicator, and author.
-
B.
Carl
Carl is the given name of Charles I Louis, the 17th-century Elector Palatine of the Rhine in the Holy Roman Empire.
-
C.
Charlie
Charlie was the third nuclear test in the U.S. Operation Crossroads series, planned as an underwater detonation to study the effects of nuclear weapons on naval vessels.
-
D.
Charlie
Charlie is the fictional Boston subway rider in the folk song "Charlie on the MTA," known for being unable to get off the train because he lacks the fare to exit.
-
E.
Harold
Harold is a masculine given name of Old English origin, historically borne by several notable figures including kings and modern public personalities.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| birthName | Carl Gustav Jacob Jacobi ⓘ |
| countryOfCitizenship |
Prussia
ⓘ
surface form:
Kingdom of Prussia
|
| ethnicGroup | German ⓘ |
| familyName | Jacobi ⓘ |
| fieldOfWork |
classical mechanics
ⓘ
determinants ⓘ differential equations ⓘ elliptic functions ⓘ mathematics ⓘ number theory ⓘ |
| givenName | Carl self-linksurface differs ⓘ |
| notableWork |
Hamilton–Jacobi equation
ⓘ
surface form:
Hamilton–Jacobi theory
Jacobi bracket ⓘ Jacobian determinant ⓘ
surface form:
Jacobi determinant
Jacobi elliptic functions ⓘ Lie bracket ⓘ
surface form:
Jacobi identity
Jacobi integral ⓘ Jacobi last multiplier ⓘ Jacobi matrix ⓘ Jacobi method ⓘ Jacobi operator ⓘ Jacobi polynomials ⓘ Jacobi symbol ⓘ Jacobi theta functions ⓘ Jacobi triple product ⓘ Jacobi elliptic functions ⓘ
surface form:
Jacobi's elliptic functions treatise
Jacobi's four-square theorem ⓘ Jacobi's inversion problem ⓘ Jacobi's theorem on determinants ⓘ Jacobi triple product ⓘ
surface form:
Jacobi's triple product identity
contributions to analytical mechanics ⓘ contributions to the calculus of variations ⓘ contributions to the theory of Abelian functions ⓘ contributions to the theory of modular forms ⓘ foundational work on elliptic functions ⓘ work on algebraic geometry related to Abelian integrals ⓘ work on canonical transformations ⓘ work on elliptic integrals ⓘ work on linear differential equations ⓘ work on number-theoretic sums ⓘ work on partial differential equations ⓘ work on the theory of determinants ⓘ work on theta series ⓘ |
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: Carl Description of subject: Carl is the given name of the 19th-century German mathematician Carl Gustav Jacob Jacobi, renowned for his foundational work in elliptic functions and other areas of mathematics.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.