Triple
T32308663
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert transform |
E825432
|
entity |
| Predicate | FourierMultiplier |
P142713
|
FINISHED |
| Object | −i·sgn(ξ) |
—
|
LITERAL 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: −i·sgn(ξ) | Statement: [Hilbert transform, FourierMultiplier, −i·sgn(ξ)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: FourierMultiplier Context triple: [Hilbert transform, FourierMultiplier, −i·sgn(ξ)]
-
A.
isFourierTransformOf
Indicates that one mathematical function or signal is the Fourier transform representation of another, relating them via decomposition into frequency components.
-
B.
inverseFourierTransform
Indicates the mathematical operation that converts a frequency-domain representation of a signal or function back into its corresponding time- or spatial-domain form.
-
C.
frequencyDomainBehavior
chosen
Indicates how a system or signal responds or behaves as a function of frequency, typically describing its characteristics in the frequency domain.
-
D.
frequencyConversion
Indicates a transformation that converts a value or signal from one frequency to another.
-
E.
frequencyShiftProperty
Indicates a relationship where one entity specifies or characterizes the amount or nature of a change in frequency experienced by another entity or signal.
- F. None of above.
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_69f3491213b88190a57094d8697a7455 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69f6bd89d3dc8190988bb54d492fd4a5 |
completed | May 3, 2026, 3:14 a.m. |
| PD | Predicate disambiguation | batch_69f6b632cf788190a3d0c08cd026b84b |
completed | May 3, 2026, 2:42 a.m. |
Created at: May 1, 2026, 12:45 a.m.