Triple
T22051308
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Helmholtz equation |
E544889
|
entity |
| Predicate | hasInhomogeneousForm |
P90319
|
FINISHED |
| Object | ∇²u + k²u = -f |
—
|
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: ∇²u + k²u = -f | Statement: [Helmholtz equation, hasInhomogeneousForm, ∇²u + k²u = -f]
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)
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_69e11e32445c8190ab97089b48a130bb |
completed | April 16, 2026, 5:36 p.m. |
| NER | Named-entity recognition | batch_69f1283386f081908b70df81f38a5b1c |
completed | April 28, 2026, 9:35 p.m. |
| PD | Predicate disambiguation | batch_69e6f643ca74819083e8ab78e843f243 |
completed | April 21, 2026, 4 a.m. |
Created at: April 16, 2026, 8:26 p.m.