Triple

T1374535
Position Surface form Disambiguated ID Type / Status
Subject Norbert Wiener E30189 entity
Predicate notableWork P4 FINISHED
Object The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
E158220 NE FINISHED

How this triple was built (4 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: The Fourier Integral and Certain of Its Applications | Statement: [Norbert Wiener, notableWork, The Fourier Integral and Certain of Its Applications]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: The Fourier Integral and Certain of Its Applications
Context triple: [Norbert Wiener, notableWork, The Fourier Integral and Certain of Its Applications]
  • A. 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.
  • B. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Kailath factorization in linear systems
    Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
  • D. Theory and Calculation of Alternating Current Phenomena
    Theory and Calculation of Alternating Current Phenomena is a foundational electrical engineering text that systematically develops the mathematical analysis and practical design principles of alternating current (AC) circuits and machinery.
  • E. 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.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: The Fourier Integral and Certain of Its Applications
Triple: [Norbert Wiener, notableWork, The Fourier Integral and Certain of Its Applications]
Generated description
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: The Fourier Integral and Certain of Its Applications
Target entity description: The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
  • A. 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.
  • B. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Kailath factorization in linear systems
    Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
  • D. Theory and Calculation of Alternating Current Phenomena
    Theory and Calculation of Alternating Current Phenomena is a foundational electrical engineering text that systematically develops the mathematical analysis and practical design principles of alternating current (AC) circuits and machinery.
  • E. 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.
  • F. None of above. chosen

Provenance (5 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_69a498f912008190a376a98b207b2071 completed March 1, 2026, 7:52 p.m.
NER Named-entity recognition batch_69a4c2f7aeb08190b52ef1058c18327e completed March 1, 2026, 10:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48397c88190b5be985bf92d47b8 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd4efb73881908dda4973befc6aa5 completed March 8, 2026, 1:46 a.m.
NED2 Entity disambiguation (via description) batch_69acd56ef0b081909df2efee97a4197c completed March 8, 2026, 1:48 a.m.
Created at: March 1, 2026, 7:57 p.m.