Triple
T25934601
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Askey–Wilson algebra |
E653520
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | quadratic algebra |
C17817
|
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: quadratic algebra Context triple: [Askey–Wilson algebra, instanceOf, quadratic algebra]
-
A.
quadratic form
A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
-
B.
quadratic character
A quadratic character is a group homomorphism from a multiplicative group (often of a field or modulo n) to {±1} that indicates whether elements are quadratic residues or non-residues.
-
C.
Weyl algebra
The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
-
D.
algebraic number
An algebraic number is any complex number that is a root of a nonzero polynomial equation with integer (or equivalently, rational) coefficients.
-
E.
algebra over a field
chosen
An algebra over a field is a vector space equipped with a bilinear multiplication operation that combines vectors to produce another vector in a way compatible with scalar multiplication from the field.
- 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_69e7ab3fd2f881908837305e4ba98011 |
completed | April 21, 2026, 4:52 p.m. |
Created at: April 22, 2026, 8:39 a.m.