Triple
T4659222
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kronecker product |
E102485
|
entity |
| Predicate | definition |
P773
|
FINISHED |
| Object | For an m×n matrix A and a p×q matrix B, A ⊗ B is the mp×nq block matrix whose (i,j)-th block is a_ij B |
E102485
|
NE FINISHED |
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: For an m×n matrix A and a p×q matrix B, A ⊗ B is the mp×nq block matrix whose (i,j)-th block is a_ij B | Statement: [Kronecker product, definition, For an m×n matrix A and a p×q matrix B, A ⊗ B is the mp×nq block matrix whose (i,j)-th block is a_ij B]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: For an m×n matrix A and a p×q matrix B, A ⊗ B is the mp×nq block matrix whose (i,j)-th block is a_ij B Context triple: [Kronecker product, definition, For an m×n matrix A and a p×q matrix B, A ⊗ B is the mp×nq block matrix whose (i,j)-th block is a_ij B]
-
A.
Kronecker product
chosen
The Kronecker product is a matrix operation that forms a large block matrix from two smaller matrices and is widely used in linear algebra, quantum computing, and signal processing.
-
B.
BlockBandedMatrix
BlockBandedMatrix is a Julia matrix type representing sparse matrices composed of dense blocks arranged in a banded structure, optimized for efficient storage and linear algebra operations.
-
C.
AbstractMatrix
AbstractMatrix is a core Julia type that defines the generic interface and behavior for all two-dimensional array and matrix-like structures in the LinearAlgebra ecosystem.
-
D.
Matrix
Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
-
E.
Matrix
The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69bd43d823288190952279faa0d1d066 |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd6328387c81909a500e694a739e6e |
completed | March 20, 2026, 3:09 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bdfaf9564c819094b9340570a7616b |
completed | March 21, 2026, 1:57 a.m. |
Created at: March 20, 2026, 1:15 p.m.