Triple
T25788254
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riccati equation |
E649479
|
entity |
| Predicate | isQuadraticIn |
P159267
|
FINISHED |
| Object | unknown function |
—
|
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: unknown function | Statement: [Riccati equation, isQuadraticIn, unknown function]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isQuadraticIn Context triple: [Riccati equation, isQuadraticIn, unknown function]
-
A.
isQuadrangleNumber
Indicates that a number belongs to the sequence of quadrangular (square pyramidal) numbers, which count points arranged in a square-based pyramid.
-
B.
associatedQuadraticFormProperty
Indicates that a quadratic form is linked to, or characterized by, a specific property or attribute related to its structure or behavior.
-
C.
arePolynomialsIn
Indicates that the specified expressions are polynomials in the given variable(s) or over the given ring/field.
-
D.
associatedQuadraticForm
Indicates that one mathematical object (such as a bilinear form, matrix, or linear operator) is linked to or determines a specific quadratic form derived from it.
-
E.
isConcaveIn
Indicates that a function or relation curves inward (is concave) with respect to a specified variable or argument, so that any line segment between two points on its graph lies below or on the graph.
- 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_69e7ab33e9308190afe415dc6f9e8876 |
completed | April 21, 2026, 4:52 p.m. |
| NER | Named-entity recognition | batch_69f5fefc58ac8190a770987f2b7b641b |
completed | May 2, 2026, 1:41 p.m. |
| PD | Predicate disambiguation | batch_69f4938b960081909b53c074a3e0c7c2 |
completed | May 1, 2026, 11:50 a.m. |
| PDg | Predicate description generation | batch_69f497b8abb88190bb672cf6907c4b8d |
completed | May 1, 2026, 12:08 p.m. |
Created at: April 22, 2026, 5:57 a.m.