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.