Triple
T32789920
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | F5 algorithm |
E838597
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Gröbner basis algorithm |
C57995
|
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: Gröbner basis algorithm Context triple: [F5 algorithm, instanceOf, Gröbner basis algorithm]
-
A.
Gröbner basis algorithm
chosen
A Gröbner basis algorithm is a computational procedure that transforms a set of multivariate polynomials into a special generating set (a Gröbner basis) that simplifies solving and analyzing polynomial ideal problems such as solving systems of equations, ideal membership, and elimination.
-
B.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
-
C.
result in real algebraic geometry
A result in real algebraic geometry is a theorem or proposition describing the structure, properties, or behavior of solution sets to polynomial equations and inequalities over the real numbers.
-
D.
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.
-
E.
Laurent polynomial-valued invariant
A Laurent polynomial-valued invariant is a quantity assigned to mathematical objects (such as knots, links, or manifolds) that remains unchanged under specified transformations and takes the form of a Laurent polynomial in one or more variables.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:14 a.m.