Triple
T23142411
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fourier transform |
E577496
|
entity |
| Predicate | hasVariant |
P455
|
FINISHED |
| Object |
Fourier sine transform
The Fourier sine transform is an integral transform that represents a function as a continuous superposition of sine waves, commonly used to solve boundary-value problems on semi-infinite domains.
|
E1574157
|
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: Fourier sine transform | Statement: [Fourier transform, hasVariant, Fourier sine transform]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fourier sine transform Context triple: [Fourier transform, hasVariant, Fourier sine transform]
-
A.
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.
-
B.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
-
C.
Fourier inversion theorem
The Fourier inversion theorem is a fundamental result in harmonic analysis that guarantees, under suitable conditions, that a function can be exactly reconstructed from its Fourier transform.
-
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.
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.
- 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: Fourier sine transform Triple: [Fourier transform, hasVariant, Fourier sine transform]
Generated description
The Fourier sine transform is an integral transform that represents a function as a continuous superposition of sine waves, commonly used to solve boundary-value problems on semi-infinite domains.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fourier sine transform Target entity description: The Fourier sine transform is an integral transform that represents a function as a continuous superposition of sine waves, commonly used to solve boundary-value problems on semi-infinite domains.
-
A.
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.
-
B.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
-
C.
Fourier inversion theorem
The Fourier inversion theorem is a fundamental result in harmonic analysis that guarantees, under suitable conditions, that a function can be exactly reconstructed from its Fourier transform.
-
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.
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.
- 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_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. |
| NEDg | Description generation | batch_6a0c32dc646081909d3c36d089d61c00 |
completed | May 19, 2026, 9:52 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0c35636e908190ae11d96deb15e1f5 |
completed | May 19, 2026, 10:03 a.m. |
Created at: April 17, 2026, 4 p.m.