Triple
T9844140
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy determinant |
E239296
|
entity |
| Predicate | hasClosedForm |
P46241
|
FINISHED |
| Object | product over i<k (x_k - x_i) times product over j<ℓ (y_ℓ - y_j) divided by product over i,j (x_i + y_j) |
—
|
LITERAL FINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's LITERAL type shown above.
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: product over i<k (x_k - x_i) times product over j<ℓ (y_ℓ - y_j) divided by product over i,j (x_i + y_j) | Statement: [Cauchy determinant, hasClosedForm, product over i<k (x_k - x_i) times product over j<ℓ (y_ℓ - y_j) divided by product over i,j (x_i + y_j)]
Provenance (2 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35dc29c819080203be5b904dc9d |
ner | completed |
Created at: March 30, 2026, 8:33 p.m.