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.