Triple
T9843916
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Euler equation |
E239291
|
entity |
| Predicate | hasCharacteristicEquation |
P72929
|
FINISHED |
| Object | a m (m - 1) + b m + c = 0 |
—
|
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: a m (m - 1) + b m + c = 0 | Statement: [Cauchy–Euler equation, hasCharacteristicEquation, a m (m - 1) + b m + c = 0]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCharacteristicEquation Context triple: [Cauchy–Euler equation, hasCharacteristicEquation, a m (m - 1) + b m + c = 0]
-
A.
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.
-
B.
hasCharacteristic
Indicates that an entity possesses, exhibits, or is defined by a particular attribute, feature, or quality.
-
C.
hasAssociatedPolynomial
chosen
Indicates that one entity is linked to another entity that serves as its associated polynomial, typically representing or characterizing some of its properties or behavior.
-
D.
characteristicFunction
Indicates that a function maps each element of a set (or domain) to a value (typically 0 or 1) that specifies whether the element has a particular property or belongs to a specified subset.
-
E.
hasEquationOfMotion
Indicates that one entity specifies or is associated with the equation of motion governing the dynamical behavior of another entity.
- 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.