Triple

T18479405
Position Surface form Disambiguated ID Type / Status
Subject Tauberian theorems E451517 entity
Predicate uses P98 FINISHED
Object Laplace transform NE NERFINISHED

How this triple was built (2 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: Laplace transform | Statement: [Tauberian theorems, uses, Laplace transform]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Laplace transform
Context triple: [Tauberian theorems, uses, Laplace transform]
  • A. Laplace transform chosen
    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. 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.
  • C. Fourier transform
    The Fourier transform is a mathematical operation that decomposes a function or signal into its constituent frequencies, widely used in engineering, physics, and signal processing.
  • D. Hilbert transform
    The Hilbert transform is an integral transform that produces the harmonic conjugate of a real-valued function, playing a central role in signal processing, harmonic analysis, and the theory of analytic signals.
  • E. Laplace–Stieltjes transforms
    Laplace–Stieltjes transforms are a generalization of the Laplace transform that integrate with respect to a nondecreasing function, widely used in probability theory, stochastic processes, and the analysis of distributions and random variables.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53065e8388190bb216dae89f8cf75 completed April 19, 2026, 7:43 p.m.
Created at: April 10, 2026, 11:35 a.m.