Triple
T9844079
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy matrix |
E239295
|
entity |
| Predicate | hasDeterminantFormula |
P81134
|
FINISHED |
| Object | det(C) = (∏_{i<k}(x_i - x_k) ∏_{j<ℓ}(y_ℓ - y_j)) / (∏_{i,j}(x_i - y_j)) |
—
|
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: det(C) = (∏_{i<k}(x_i - x_k) ∏_{j<ℓ}(y_ℓ - y_j)) / (∏_{i,j}(x_i - y_j)) | Statement: [Cauchy matrix, hasDeterminantFormula, det(C) = (∏_{i<k}(x_i - x_k) ∏_{j<ℓ}(y_ℓ - y_j)) / (∏_{i,j}(x_i - y_j))]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasDeterminantFormula
Context triple: [Cauchy matrix, hasDeterminantFormula, det(C) = (∏_{i<k}(x_i - x_k) ∏_{j<ℓ}(y_ℓ - y_j)) / (∏_{i,j}(x_i - y_j))]
-
A.
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.
-
B.
determinantProperty
Indicates that one property or factor determines, governs, or decisively influences another property or outcome.
-
C.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
D.
hasGeneralFormula
chosen
Indicates that an entity (such as a class of compounds or expressions) is characterized by a general or canonical formula that represents all its specific instances.
-
E.
isDeterministic
Indicates that the outcome of a process or function is fully determined by its inputs, with no randomness or variation between executions.
- F. None of above.
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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35dc29c819080203be5b904dc9d |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.