Triple
T17676519
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SymTridiagonal |
E440654
|
entity |
| Predicate | belongsToModule |
P128514
|
FINISHED |
| Object | LinearAlgebra |
—
|
NE NERFINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: LinearAlgebra | Statement: [SymTridiagonal, belongsToModule, LinearAlgebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: LinearAlgebra Context triple: [SymTridiagonal, belongsToModule, LinearAlgebra]
-
A.
LinearAlgebra
chosen
LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
-
B.
linear algebra
Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations, forming a foundation for many areas of science and engineering.
-
C.
Linear Associative Algebra
Linear Associative Algebra is an 1870 mathematical treatise by Benjamin Peirce that helped lay foundational concepts for the modern theory of associative algebras and abstract algebra.
-
D.
Bartels–Stewart algorithm
The Bartels–Stewart algorithm is a numerical linear algebra method that efficiently solves certain matrix equations, particularly Sylvester and Lyapunov equations, using Schur decompositions.
-
E.
LINPACK
LINPACK is a widely used benchmark and software library for performing numerical linear algebra computations, particularly solving systems of linear equations.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
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_69d8b9e940b081908b862bb0e6e89b0d |
completed | April 10, 2026, 8:50 a.m. |
| NER | Named-entity recognition | batch_69e46f6d9ab88190ab0e25eac8b0101c |
completed | April 19, 2026, 6 a.m. |
Created at: April 10, 2026, 10:01 a.m.