Triple
T9843917
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Euler equation |
E239291
|
entity |
| Predicate | hasSolutionForm |
P4453
|
FINISHED |
| Object | y = C1 x^{m1} + C2 x^{m2} (distinct real roots) |
—
|
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: y = C1 x^{m1} + C2 x^{m2} (distinct real roots) | Statement: [Cauchy–Euler equation, hasSolutionForm, y = C1 x^{m1} + C2 x^{m2} (distinct real roots)]
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasSolutionForm
Context triple: [Cauchy–Euler equation, hasSolutionForm, y = C1 x^{m1} + C2 x^{m2} (distinct real roots)]
-
A.
admitsSolution
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
B.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
C.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
D.
providesSolutionFor
Indicates that one entity offers or supplies a remedy, answer, or resolution to a problem, need, or issue associated with another entity.
-
E.
solutionType
chosen
Indicates the specific category or kind of solution associated with an entity or problem.
- F. None of above.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35dc29c819080203be5b904dc9d |
ner | completed |
| PD | batch_69cd03e57cac8190914bb5ae608a6e0e |
pd | completed |
Created at: March 30, 2026, 8:33 p.m.