Triple
T25457219
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Birkhoff interpolation |
E637944
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | polynomial interpolation generalization |
C42144
|
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 interpolation generalization Context triple: [Birkhoff interpolation, instanceOf, polynomial interpolation generalization]
-
A.
piecewise polynomial function
A piecewise polynomial function is a function defined by different polynomial expressions on distinct intervals of its domain, with each piece applying over a specific subrange.
-
B.
spline
A spline is a smooth, piecewise-defined mathematical curve constructed from polynomial segments joined together with continuity constraints, commonly used for interpolation, approximation, and geometric modeling.
-
C.
tool in approximation theory
chosen
A tool in approximation theory is a mathematical method, theorem, or construct used to analyze, measure, or improve how well functions or data can be approximated by simpler or more tractable representations.
-
D.
theory of polynomial sequences
A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
-
E.
graph polynomial
A graph polynomial is a polynomial associated with a graph whose coefficients and variables encode combinatorial properties of the graph, such as colorings, matchings, or connectivity.
- 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_69e75db8bab08190baca80b4a8c315fd |
completed | April 21, 2026, 11:21 a.m. |
Created at: April 21, 2026, 2:10 p.m.