Triple
T20439486
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Edmund Landau |
E501345
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object | Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie |
—
|
NE NERFINISHED |
How this triple was built (3 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie | Statement: [Edmund Landau, notableWork, Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie Context triple: [Edmund Landau, notableWork, Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie]
-
A.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
-
B.
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.
-
C.
Theory of Multiply Periodic Functions
Theory of Multiply Periodic Functions is a foundational mathematical work by Henry Frederick Baker that systematically develops the theory of functions with multiple complex periods, including abelian and related functions.
-
D.
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.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic 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: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie Target entity description: Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie is a mathematical work by Edmund Landau that presents and justifies several then-recent advances in complex function theory.
-
A.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
-
B.
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.
-
C.
Theory of Multiply Periodic Functions
Theory of Multiply Periodic Functions is a foundational mathematical work by Henry Frederick Baker that systematically develops the theory of functions with multiple complex periods, including abelian and related functions.
-
D.
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.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
- F. None of above. chosen
Provenance (2 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0b4ab3cfc8190ac9bf32e932316b1 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e685f20fe08190b9370b523a20153d |
completed | April 20, 2026, 8 p.m. |
Created at: April 16, 2026, 11:31 a.m.