Triple

T33761172
Position Surface form Disambiguated ID Type / Status
Subject Macdonald polynomials E865108 entity
Predicate instanceOf P0 FINISHED
Object two-parameter 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: two-parameter symmetric functions
Context triple: [Macdonald polynomials, instanceOf, two-parameter symmetric functions]
  • A. 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.
  • B. 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.
  • 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. symmetric tensor
    A symmetric tensor is a multilinear map or multidimensional array whose components remain unchanged under any permutation of its indices.
  • 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. chosen

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.