Triple

T13965446
Position Surface form Disambiguated ID Type / Status
Subject Essai sur l’étude des fonctions données par leur développement de Taylor E335909 entity
Predicate translatedTitle P6688 FINISHED
Object Essay on the study of functions given by their Taylor development E335909 NE FINISHED

How this triple was built (2 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: Essay on the study of functions given by their Taylor development | Statement: [Essai sur l’étude des fonctions données par leur développement de Taylor, translatedTitle, Essay on the study of functions given by their Taylor development]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Essay on the study of functions given by their Taylor development
Context triple: [Essai sur l’étude des fonctions données par leur développement de Taylor, translatedTitle, Essay on the study of functions given by their Taylor development]
  • A. Essai sur l’étude des fonctions données par leur développement de Taylor chosen
    Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
  • 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. Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
    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.
  • D. Malgrange preparation theorem
    The Malgrange preparation theorem is a fundamental result in analysis and singularity theory that generalizes the Weierstrass preparation theorem to smooth functions, providing a local factorization of such functions near singular points.
  • E. Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
    "Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d81c61f3508190aaf2ca0dc0002c59 completed April 9, 2026, 9:38 p.m.
NER Named-entity recognition batch_69de2e7e24f08190ba939a8044860033 completed April 14, 2026, 12:09 p.m.
NED1 Entity disambiguation (via context triple) batch_69fbac8e47d48190a1d5e841810fe50c completed May 6, 2026, 9:03 p.m.
Created at: April 9, 2026, 10:18 p.m.