Triple
T7115628
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Berlekamp’s algorithm for factoring polynomials over finite fields |
E165811
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | polynomial factorization algorithm |
C6819
|
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: polynomial factorization algorithm Context triple: [Berlekamp’s algorithm for factoring polynomials over finite fields, instanceOf, polynomial factorization algorithm]
-
A.
algorithm
chosen
An algorithm is a finite, well-defined sequence of computational steps or rules designed to solve a specific problem or perform a particular task.
-
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.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
D.
sage
A sage is a wise and knowledgeable individual, often sought for guidance, insight, and thoughtful counsel grounded in deep understanding and experience.
-
E.
curve over the rational numbers
A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
- 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_69c6888227bc8190a1394679e3116f90 |
completed | March 27, 2026, 1:39 p.m. |
Created at: March 27, 2026, 2:43 p.m.