Triple
T22051312
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Helmholtz equation |
E544889
|
entity |
| Predicate | specialCaseOf |
P7025
|
FINISHED |
| Object | Poisson equation |
—
|
NE NERFINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE 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: Poisson equation | Statement: [Helmholtz equation, specialCaseOf, Poisson equation]
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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Poisson equation Context triple: [Helmholtz equation, specialCaseOf, Poisson equation]
-
A.
Poisson equation
chosen
The Poisson equation is a fundamental partial differential equation in mathematical physics that relates the Laplacian of a potential field to a given source distribution, widely used in electrostatics, gravitation, and heat conduction.
-
B.
Laplace equation
The Laplace equation is a fundamental second-order partial differential equation widely used in physics and engineering to describe steady-state phenomena such as electrostatics, gravitation, and heat conduction.
-
C.
Dirichlet problem
The Dirichlet problem is a fundamental boundary value problem in potential theory and partial differential equations, asking for a function that solves a specified PDE inside a domain while taking prescribed values on the domain’s boundary.
-
D.
Helmholtz equation
The Helmholtz equation is a fundamental partial differential equation that describes time-harmonic wave propagation in fields such as acoustics, electromagnetism, and optics.
-
E.
Poisson integral
The Poisson integral is a fundamental formula in harmonic analysis that reconstructs harmonic functions inside a disk (or half-plane) from their boundary values using the Poisson kernel.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69e11e32445c8190ab97089b48a130bb |
elicitation | completed |
| NER | batch_69f1283386f081908b70df81f38a5b1c |
ner | completed |
Created at: April 16, 2026, 8:26 p.m.