Triple

T6606128
Position Surface form Disambiguated ID Type / Status
Subject Maxime Bôcher E149122 entity
Predicate notableWork P4 FINISHED
Object Linear Differential Equations and Their Applications
"Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
E599705 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: Linear Differential Equations and Their Applications | Statement: [Maxime Bôcher, notableWork, Linear Differential Equations and Their Applications]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Linear Differential Equations and Their Applications
Context triple: [Maxime Bôcher, notableWork, Linear Differential Equations and Their Applications]
  • A. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • B. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • C. Lyapunov stability theory
    Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
  • D. Lectures on Cauchy’s problem in linear partial differential equations
    "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
  • E. 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.
  • 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: Linear Differential Equations and Their Applications
Triple: [Maxime Bôcher, notableWork, Linear Differential Equations and Their Applications]
Generated description
"Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Linear Differential Equations and Their Applications
Target entity description: "Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
  • A. Stability of Linear Systems
    "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
  • B. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • C. Lyapunov stability theory
    Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
  • D. Lectures on Cauchy’s problem in linear partial differential equations
    "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
  • E. 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.
  • 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_69c687eaa7508190bb58ce2aa02039b3 completed March 27, 2026, 1:36 p.m.
NER Named-entity recognition batch_69c6af143d5c8190b62602602510b1cb completed March 27, 2026, 4:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6cbce25b481908d600d38d3c5b871 completed March 27, 2026, 6:26 p.m.
NEDg Description generation batch_69c6cd0a98908190a5725c49bad7589d completed March 27, 2026, 6:31 p.m.
NED2 Entity disambiguation (via description) batch_69c6cdcc10c08190aa98212bd17063a3 completed March 27, 2026, 6:34 p.m.
Created at: March 27, 2026, 1:57 p.m.