Triple
T9843924
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy–Euler equation |
E239291
|
entity |
| Predicate | hasGeneralNonhomogeneousForm |
P90319
|
FINISHED |
| Object | a x^2 y'' + b x y' + c y = f(x) |
—
|
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: a x^2 y'' + b x y' + c y = f(x) | Statement: [Cauchy–Euler equation, hasGeneralNonhomogeneousForm, a x^2 y'' + b x y' + c y = f(x)]
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: hasGeneralNonhomogeneousForm Context triple: [Cauchy–Euler equation, hasGeneralNonhomogeneousForm, a x^2 y'' + b x y' + c y = f(x)]
-
A.
hasGeneralFormula
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.
-
B.
hasNonStandardForm
Indicates that an entity possesses a form, variant, or representation that deviates from the standard, canonical, or commonly accepted form.
-
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.
isHomogeneous
Indicates that all elements or parts involved share the same type, nature, or characteristics, without significant variation among them.
-
E.
isNonUniform
Indicates that the property, distribution, or structure of something varies across its domain rather than remaining constant or uniform.
- F. None of above. chosen
Provenance (4 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35dc29c819080203be5b904dc9d |
ner | completed |
| PD | batch_69cd03e57cac8190914bb5ae608a6e0e |
pd | completed |
| PDg | batch_69cd06ace53081909b5f81f382f6591e |
pdg | completed |
Created at: March 30, 2026, 8:33 p.m.