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.
  • 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.
  • 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.
  • 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.
  • 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.