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.