Triple

T23142408
Position Surface form Disambiguated ID Type / Status
Subject Fourier transform E577496 entity
Predicate hasVariant P455 FINISHED
Object Fourier series E482288 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: Fourier series | Statement: [Fourier transform, hasVariant, Fourier series]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fourier series
Context triple: [Fourier transform, hasVariant, Fourier series]
  • A. Fourier series chosen
    A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
  • B. Fourier analysis
    Fourier analysis is a mathematical method for decomposing functions or signals into sums of sinusoidal components, widely used in fields such as signal processing, physics, 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. Fourier
    Fourier is a French surname most famously associated with Jean-Baptiste Joseph Fourier, the mathematician and physicist known for developing Fourier analysis and Fourier series.
  • E. Fourier-Bessel series
    A Fourier-Bessel series is an expansion of a function in terms of Bessel functions, analogous to a Fourier series but adapted to problems with cylindrical symmetry and radial coordinates.
  • 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.