Triple
T37980319
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Christoffel–Darboux formula |
E947533
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in orthogonal polynomial theory |
C65848
|
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: result in orthogonal polynomial theory Context triple: [Christoffel–Darboux formula, instanceOf, result in orthogonal polynomial theory]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
result in mathematical physics
A result in mathematical physics is a rigorously proven statement that connects precise mathematical structures with physical theories, often clarifying, justifying, or predicting phenomena within a formal framework.
-
E.
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.
- 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_69f76ef8a1d08190a741bbbc5970e3b3 |
completed | May 3, 2026, 3:51 p.m. |
Created at: May 3, 2026, 4:20 p.m.