Triple

T7600436
Position Surface form Disambiguated ID Type / Status
Subject Murray R. Spiegel E179968 entity
Predicate notableWork P4 FINISHED
Object Schaum's Outline of Laplace Transforms
Schaum's Outline of Laplace Transforms is a widely used study guide that provides concise explanations, solved problems, and practice exercises to help students master Laplace transform techniques in mathematics and engineering.
E674671 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: Schaum's Outline of Laplace Transforms | Statement: [Murray R. Spiegel, notableWork, Schaum's Outline of Laplace Transforms]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Laplace Transforms
Context triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Laplace Transforms]
  • A. Laplace transform
    The Laplace transform is an integral transform widely used in mathematics, physics, and engineering to convert functions of time into functions of a complex variable, simplifying the analysis and solution of differential equations and linear systems.
  • B. 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.
  • C. Mellin transforms
    Mellin transforms are integral transforms that convert functions into complex-variable representations, playing a central role in analytic number theory by linking arithmetic functions to Dirichlet series and zeta functions.
  • D. 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.
  • E. Lagrange’s variation of parameters method
    Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
  • 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: Schaum's Outline of Laplace Transforms
Triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Laplace Transforms]
Generated description
Schaum's Outline of Laplace Transforms is a widely used study guide that provides concise explanations, solved problems, and practice exercises to help students master Laplace transform techniques in mathematics and engineering.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Laplace Transforms
Target entity description: Schaum's Outline of Laplace Transforms is a widely used study guide that provides concise explanations, solved problems, and practice exercises to help students master Laplace transform techniques in mathematics and engineering.
  • A. Laplace transform
    The Laplace transform is an integral transform widely used in mathematics, physics, and engineering to convert functions of time into functions of a complex variable, simplifying the analysis and solution of differential equations and linear systems.
  • B. 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.
  • C. Mellin transforms
    Mellin transforms are integral transforms that convert functions into complex-variable representations, playing a central role in analytic number theory by linking arithmetic functions to Dirichlet series and zeta functions.
  • D. 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.
  • E. Lagrange’s variation of parameters method
    Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
  • 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_69c69f3487ec8190bf7acdf2dd91e6d6 completed March 27, 2026, 3:16 p.m.
NER Named-entity recognition batch_69c6f9d9c55c8190841f3bf3225c096a completed March 27, 2026, 9:42 p.m.
NED1 Entity disambiguation (via context triple) batch_69c861ad08bc8190b3fc22109579a47d completed March 28, 2026, 11:18 p.m.
NEDg Description generation batch_69c86239eb348190b5a0b83d280000e2 completed March 28, 2026, 11:20 p.m.
NED2 Entity disambiguation (via description) batch_69c862a2f6808190942a22bf93994408 completed March 28, 2026, 11:22 p.m.
Created at: March 27, 2026, 3:53 p.m.