Triple

T33761316
Position Surface form Disambiguated ID Type / Status
Subject q-Selberg integral E865111 entity
Predicate instanceOf P0 FINISHED
Object object of special function theory C39496 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: object of special function theory
Context triple: [q-Selberg integral, instanceOf, object of special function theory]
  • A. special function
    A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
  • B. problem in the theory of Abelian functions
    A problem in the theory of Abelian functions concerns questions about the properties, classification, or explicit determination of multivalued complex functions arising from integrals of algebraic differentials on Riemann surfaces and their associated period relations.
  • C. tool in basic hypergeometric series chosen
    A tool in basic hypergeometric series is a conceptual or computational method—such as transformation formulas, summation identities, or q-difference operators—used to analyze, manipulate, and evaluate expressions involving q-shifted factorials and q-series.
  • D. analytic function
    An analytic function is a complex-valued function that is locally given by a convergent power series, meaning it is differentiable at every point in its domain and in a neighborhood around each point.
  • E. object of analytic number theory
    An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
  • F. None of above.

Provenance (1 batch)

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_69f3498d3b748190aa3c4006c1f32f38 completed April 30, 2026, 12:22 p.m.
Created at: May 1, 2026, 1:45 a.m.