Triple

T10660073
Position Surface form Disambiguated ID Type / Status
Subject Ulisse Dini E251198 entity
Predicate notableConcept P201 FINISHED
Object Dini derivative
The Dini derivative is a generalized notion of derivative that captures one-sided limiting rates of change of a function, even at points where the classical derivative may not exist.
E877691 NE FINISHED

How this triple was built (4 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: Dini derivative | Statement: [Ulisse Dini, notableConcept, Dini derivative]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dini derivative
Context triple: [Ulisse Dini, notableConcept, Dini derivative]
  • A. Caputo derivative
    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. Henstock–Kurzweil integral
    The Henstock–Kurzweil integral is a highly general integration theory that extends and refines the Riemann integral, capable of integrating a broader class of functions while retaining many of the intuitive properties of Riemann integration.
  • C. Denjoy–Young–Saks theorem
    The Denjoy–Young–Saks theorem is a result in real analysis that classifies the possible behaviors of the derivative of a real function at almost every point on the real line.
  • D. Radon–Nikodym derivative
    The Radon–Nikodym derivative is a function that represents how one measure changes with respect to another absolutely continuous measure, playing a central role in modern probability theory and measure theory.
  • E. Riemann–Liouville integral
    The Riemann–Liouville integral is a fundamental operator in fractional calculus that generalizes the concept of an n-fold repeated integral to non-integer (fractional) orders.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Dini derivative
Triple: [Ulisse Dini, notableConcept, Dini derivative]
Generated description
The Dini derivative is a generalized notion of derivative that captures one-sided limiting rates of change of a function, even at points where the classical derivative may not exist.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dini derivative
Target entity description: The Dini derivative is a generalized notion of derivative that captures one-sided limiting rates of change of a function, even at points where the classical derivative may not exist.
  • A. Caputo derivative
    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. Henstock–Kurzweil integral
    The Henstock–Kurzweil integral is a highly general integration theory that extends and refines the Riemann integral, capable of integrating a broader class of functions while retaining many of the intuitive properties of Riemann integration.
  • C. Denjoy–Young–Saks theorem
    The Denjoy–Young–Saks theorem is a result in real analysis that classifies the possible behaviors of the derivative of a real function at almost every point on the real line.
  • D. Radon–Nikodym derivative
    The Radon–Nikodym derivative is a function that represents how one measure changes with respect to another absolutely continuous measure, playing a central role in modern probability theory and measure theory.
  • E. Riemann–Liouville integral
    The Riemann–Liouville integral is a fundamental operator in fractional calculus that generalizes the concept of an n-fold repeated integral to non-integer (fractional) orders.
  • F. None of above. chosen

Provenance (5 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_69d6aa5b0d2881909584b20efc5877f0 completed April 8, 2026, 7:19 p.m.
NER Named-entity recognition batch_69d6e0174dc4819093e577993c65ed32 completed April 8, 2026, 11:09 p.m.
NED1 Entity disambiguation (via context triple) batch_69d97a8375bc8190a79c09ba2626ce50 completed April 10, 2026, 10:32 p.m.
NEDg Description generation batch_69d97e7330cc81908d7e35cbba5b5b0e completed April 10, 2026, 10:49 p.m.
NED2 Entity disambiguation (via description) batch_69d97ef8d90c81909a2bc3adbb1f05bf completed April 10, 2026, 10:51 p.m.
Created at: April 8, 2026, 9:07 p.m.