Triple
T25432591
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Mellin transform |
E637297
|
entity |
| Predicate | inverseTransform |
P158498
|
FINISHED |
| Object | f(x) = (1/2πi) ∫_{c-i∞}^{c+i∞} x^{-s} F(s) ds under suitable conditions |
—
|
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: f(x) = (1/2πi) ∫_{c-i∞}^{c+i∞} x^{-s} F(s) ds under suitable conditions | Statement: [Mellin transform, inverseTransform, f(x) = (1/2πi) ∫_{c-i∞}^{c+i∞} x^{-s} F(s) ds under suitable conditions]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: inverseTransform
Context triple: [Mellin transform, inverseTransform, f(x) = (1/2πi) ∫_{c-i∞}^{c+i∞} x^{-s} F(s) ds under suitable conditions]
-
A.
inverseConvolution
Indicates the operation that reverses or undoes a prior convolution, recovering an original signal or function from its convolved form.
-
B.
inverseImage
Indicates the mapping from a set of outputs back to all inputs that are related to those outputs under a given function or relation.
-
C.
inverseFlattening
Indicates the reciprocal of the flattening ratio of an ellipsoid, expressing how much it deviates from a perfect sphere.
-
D.
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.
-
E.
coordinateTransformation
Indicates a relationship where one coordinate system is mathematically converted or mapped into another, preserving the correspondence of points between them.
- F. None of above. chosen
Provenance (4 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f4683b34748190818428489a226124 |
completed | May 1, 2026, 8:45 a.m. |
| PDg | Predicate description generation | batch_69f46d361c348190b5fdfd805ecde01b |
completed | May 1, 2026, 9:07 a.m. |
Created at: April 21, 2026, 1:58 p.m.