Triple
T7115631
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Berlekamp’s algorithm for factoring polynomials over finite fields |
E165811
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algorithm over finite fields |
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: algorithm over finite fields Context triple: [Berlekamp’s algorithm for factoring polynomials over finite fields, instanceOf, algorithm over finite fields]
-
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.
field theory
Field theory is a branch of physics and mathematics that models physical quantities as continuous fields distributed over space and time, governed by specific equations and symmetries.
-
C.
algebra over a field
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.
-
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.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic 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_69c6888227bc8190a1394679e3116f90 |
completed | March 27, 2026, 1:39 p.m. |
Created at: March 27, 2026, 2:43 p.m.