Triple

T23142440
Position Surface form Disambiguated ID Type / Status
Subject Fourier transform E577496 entity
Predicate relatedConcept P37 FINISHED
Object Laplace transform E139491 NE FINISHED

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: [Fourier transform, relatedConcept, Laplace transform]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Laplace transform
Context triple: [Fourier transform, relatedConcept, 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 (3 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_69e245f8e6248190ba3d58e068b4dccb completed April 17, 2026, 2:38 p.m.
NER Named-entity recognition batch_69f18ecb72fc8190a24e8f5756217a36 completed April 29, 2026, 4:53 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0c308fd60c8190afd340bd74423220 completed May 19, 2026, 9:42 a.m.
Created at: April 17, 2026, 4 p.m.