Triple
T32516643
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weierstrass form |
E831077
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | algebraic curve representation |
C18972
|
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: algebraic curve representation Context triple: [Weierstrass form, instanceOf, algebraic curve representation]
-
A.
nonsingular curve
A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.
-
B.
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.
-
C.
algebraic variety
chosen
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.
mathematical representation
A mathematical representation is a formal, structured way of expressing abstract mathematical objects or relationships—such as numbers, functions, or systems—using symbols, equations, diagrams, or other mathematical constructs to enable analysis and reasoning.
-
E.
lemniscate
A lemniscate is a plane curve shaped like a figure-eight or infinity symbol, typically defined by a specific algebraic equation that produces two symmetric loops meeting at a point.
- 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_69f3492318348190ba37fb6b5f1d67f4 |
completed | April 30, 2026, 12:20 p.m. |
Created at: May 1, 2026, 1 a.m.