Triple

T27675094
Position Surface form Disambiguated ID Type / Status
Subject Rodrigues formula E697757 entity
Predicate instanceOf P0 FINISHED
Object representation of orthogonal polynomials C37699 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: representation of orthogonal polynomials
Context triple: [Rodrigues formula, instanceOf, representation of orthogonal polynomials]
  • A. theory of polynomial sequences chosen
    A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
  • B. tool in basic hypergeometric series
    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.
  • C. list of q-series identities
    A list of q-series identities is a collection of mathematical equalities involving q-series—power series in a variable q—often expressing relationships between infinite sums, products, and special functions in areas such as combinatorics, number theory, and modular forms.
  • D. integral representation formula
    An integral representation formula expresses a function or solution to a problem as an integral involving a kernel or integrand that encodes the relevant data or boundary conditions.
  • E. 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.
  • 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_69ef590d458c81909583290c3cd0478b completed April 27, 2026, 12:39 p.m.
Created at: April 27, 2026, 2:43 p.m.