Triple
T29436216
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riesz transforms |
E746579
|
entity |
| Predicate | FourierMultiplierSymbol |
P142713
|
FINISHED |
| Object | -i ξ_i / |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 ξ_i / |ξ| | Statement: [Riesz transforms, FourierMultiplierSymbol, -i ξ_i / |ξ|]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: FourierMultiplierSymbol Context triple: [Riesz transforms, FourierMultiplierSymbol, -i ξ_i / |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.
hasMultiplicationFormula
Indicates that there exists a specific multiplication-based formula or rule that defines or computes the value or behavior of the related entity.
-
D.
frequencyDomainBehavior
chosen
Indicates how a system or signal responds or behaves as a function of frequency, typically describing its characteristics in the frequency domain.
-
E.
multiplicative
Indicates a relationship where one quantity is obtained by multiplying another quantity (or quantities), often expressing scaling, proportionality, or product-based interaction between them.
- 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_69f0a7a180e48190ae775e40047dbcb5 |
completed | April 28, 2026, 12:27 p.m. |
| NER | Named-entity recognition | batch_69f66accf77c81908f0f4c1a67e05e47 |
completed | May 2, 2026, 9:21 p.m. |
| PD | Predicate disambiguation | batch_69f66339175c819080bd70f0ff7057b1 |
completed | May 2, 2026, 8:48 p.m. |
Created at: April 28, 2026, 3:16 p.m.