Triple
T24805918
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Vandermonde matrix |
E620657
|
entity |
| Predicate | isNonsingularIf |
P157315
|
FINISHED |
| Object | all x_i are pairwise distinct |
—
|
LITERAL 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: all x_i are pairwise distinct | Statement: [Vandermonde matrix, isNonsingularIf, all x_i are pairwise distinct]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isNonsingularIf Context triple: [Vandermonde matrix, isNonsingularIf, all x_i are pairwise distinct]
-
A.
isNondegenerate
Indicates that the object or structure has no trivial, collapsed, or singular cases and thus satisfies the required non-degeneracy conditions.
-
B.
forNonSingularPoint
Indicates that the relationship or condition applies only when the referenced point is not a single, isolated point (i.e., it is non-singular).
-
C.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
D.
isNondegenerateOn
Indicates that a structure, form, or mapping does not collapse information or lose rank when restricted to a specified domain or subset.
-
E.
hasDeterminant
Indicates that one entity functions as a determiner (e.g., article, demonstrative, quantifier) specifying or limiting the reference of another entity, typically a noun or noun phrase.
- F. None of above. chosen
Provenance (4 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_69e2fabf26bc8190b191faac8f67065b |
completed | April 18, 2026, 3:30 a.m. |
| NER | Named-entity recognition | batch_69f42d9000b8819081ea2605f3c193d6 |
completed | May 1, 2026, 4:35 a.m. |
| PD | Predicate disambiguation | batch_69f420f471a0819095a6cd24ed8f7476 |
completed | May 1, 2026, 3:41 a.m. |
| PDg | Predicate description generation | batch_69f42b11251881908070b93355de64ad |
completed | May 1, 2026, 4:24 a.m. |
Created at: April 18, 2026, 4:50 a.m.