Triple

T33761169
Position Surface form Disambiguated ID Type / Status
Subject Macdonald polynomials E865108 entity
Predicate instanceOf P0 FINISHED
Object family of symmetric functions C59239 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: family of symmetric functions
Context triple: [Macdonald polynomials, instanceOf, family of symmetric functions]
  • A. family of symmetric polynomials
    A family of symmetric polynomials is a collection of polynomials in several variables that remain unchanged under any permutation of those variables, often organized by degree, number of variables, or a specific symmetric basis.
  • B. two-parameter symmetric functions chosen
    Two-parameter symmetric functions are symmetric functions in countably many variables that depend on two additional parameters, typically used to interpolate or generalize classical symmetric function bases such as Schur, Hall–Littlewood, or Macdonald polynomials.
  • C. theory of polynomial sequences
    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.
  • D. 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.
  • E. result in q-series theory
    A result in q-series theory is a proven mathematical statement describing properties, identities, or relationships involving power series whose coefficients and exponents depend on a parameter q, often connecting combinatorics, number theory, and special functions.
  • 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.