Triple
T22051308
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Helmholtz equation |
E544889
|
entity |
| Predicate | hasInhomogeneousForm |
P90319
|
FINISHED |
| Object | ∇²u + k²u = -f |
—
|
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: ∇²u + k²u = -f | Statement: [Helmholtz equation, hasInhomogeneousForm, ∇²u + k²u = -f]
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: hasInhomogeneousForm Context triple: [Helmholtz equation, hasInhomogeneousForm, ∇²u + k²u = -f]
-
A.
hasGeneralNonhomogeneousForm
chosen
Indicates that something possesses a general form or structure that is nonhomogeneous, typically meaning it varies across its domain rather than being uniform or constant.
-
B.
isHomogeneous
Indicates that all elements or parts involved share the same type, nature, or characteristics, without significant variation among them.
-
C.
hasNonStandardForm
Indicates that an entity possesses a form, variant, or representation that deviates from the standard, canonical, or commonly accepted form.
-
D.
hasIntegralForm
Indicates that one entity is the integral (antiderivative) form or representation of another entity.
-
E.
hasDifferentialForm
Indicates that one entity is associated with, or can be represented by, a specific differential form in a mathematical or geometric context.
- F. None of above.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69e11e32445c8190ab97089b48a130bb |
elicitation | completed |
| NER | batch_69f1283386f081908b70df81f38a5b1c |
ner | completed |
| PD | batch_69e6f643ca74819083e8ab78e843f243 |
pd | completed |
Created at: April 16, 2026, 8:26 p.m.