Triple
T10992313
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard fractional integral |
E259779
|
entity |
| Predicate | contrastsWith |
P278
|
FINISHED |
| Object | Riemann–Liouville integral on additive domains |
E47352
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann–Liouville integral on additive domains Context triple: [Hadamard fractional integral, contrastsWith, Riemann–Liouville integral on additive domains]
-
A.
Riemann–Liouville integral
chosen
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.
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B.
Hadamard fractional integral
The Hadamard fractional integral is a generalization of the classical integral that defines fractional-order integration using logarithmic kernels, particularly suited to functions defined on multiplicative (e.g., positive real) domains.
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C.
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.
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D.
Riemann–Stieltjes integral
The Riemann–Stieltjes integral is a generalization of the Riemann integral in which integration is taken with respect to a function of bounded variation rather than just the identity function, allowing more flexible treatment of sums and distributions.
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E.
Weyl fractional integral
The Weyl fractional integral is a generalization of the classical integral to arbitrary (including non-integer) orders, defined on periodic functions or the whole real line and used in fractional calculus to model memory and hereditary properties in various systems.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d6aa8a6a548190a750f944ccdc8064 |
elicitation | completed |
| NER | batch_69d795d32f9081909def643571499521 |
ner | completed |
| NED1 | batch_69e34504ebec8190a78e4795765b0c24 |
ned_source_triple | completed |
Created at: April 8, 2026, 9:24 p.m.