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.