Triple
T10992251
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weyl fractional integral |
E259778
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Caputo fractional derivative |
E259777
|
NE 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: Caputo fractional derivative | Statement: [Weyl fractional integral, relatedTo, Caputo fractional derivative]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Caputo fractional derivative Context triple: [Weyl fractional integral, relatedTo, Caputo fractional derivative]
-
A.
Caputo derivative
chosen
The Caputo derivative is a commonly used definition of a fractional derivative that modifies the Riemann–Liouville approach to allow for more physically meaningful initial conditions in differential equations.
-
B.
Caputo–Fabrizio derivative
The Caputo–Fabrizio derivative is a non-singular kernel formulation of fractional differentiation that modifies the classical Caputo approach to better model memory effects in physical and engineering systems.
-
C.
Atangana–Baleanu–Caputo derivative
The Atangana–Baleanu–Caputo derivative is a generalized fractional derivative operator that extends the classical Caputo derivative using non-singular, non-local kernels to better model complex memory and hereditary phenomena in applied sciences.
-
D.
Grünwald–Letnikov derivative
The Grünwald–Letnikov derivative is a fundamental definition of fractional differentiation based on limit processes and finite differences, widely used as a foundation for fractional calculus.
-
E.
Riemann–Liouville derivative
The Riemann–Liouville derivative is a fundamental definition of fractional-order differentiation in fractional calculus, generalizing the classical derivative to non-integer orders via integral transforms.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e3c8190c888190ba8d6fb2f4f3eb05 |
completed | April 18, 2026, 6:06 p.m. |
Created at: April 8, 2026, 9:24 p.m.