Triple

T6112912
Position Surface form Disambiguated ID Type / Status
Subject Eliahu I. Jury E136288 entity
Predicate notableWork P4 FINISHED
Object Theory and Application of the z-Transform Method
"Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
E569291 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: Theory and Application of the z-Transform Method | Statement: [Eliahu I. Jury, notableWork, Theory and Application of the z-Transform Method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Theory and Application of the z-Transform Method
Context triple: [Eliahu I. Jury, notableWork, Theory and Application of the z-Transform Method]
  • A. 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.
  • B. 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.
  • C. Nyquist stability criterion
    The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
  • D. Lectures in Feedback Design for Multivariable Systems
    Lectures in Feedback Design for Multivariable Systems is a technical book by control theorist Alberto Isidori that presents systematic methods for designing feedback controllers for complex multivariable dynamical systems.
  • E. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • 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: Theory and Application of the z-Transform Method
Triple: [Eliahu I. Jury, notableWork, Theory and Application of the z-Transform Method]
Generated description
"Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Theory and Application of the z-Transform Method
Target entity description: "Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
  • A. 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.
  • B. 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.
  • C. Nyquist stability criterion
    The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
  • D. Lectures in Feedback Design for Multivariable Systems
    Lectures in Feedback Design for Multivariable Systems is a technical book by control theorist Alberto Isidori that presents systematic methods for designing feedback controllers for complex multivariable dynamical systems.
  • E. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • 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_69c0089ea6f88190b349be53e04b4f5f completed March 22, 2026, 3:19 p.m.
NER Named-entity recognition batch_69c05bbde2048190909aa3a8097bcf93 completed March 22, 2026, 9:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69c125631e008190921206b9e355202b completed March 23, 2026, 11:34 a.m.
NEDg Description generation batch_69c1281a40a0819083e1ed6fe5433016 completed March 23, 2026, 11:46 a.m.
NED2 Entity disambiguation (via description) batch_69c12891264c81908eec332350863b4a completed March 23, 2026, 11:48 a.m.
Created at: March 22, 2026, 4:14 p.m.