Triple
T22051304
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Helmholtz equation |
E544889
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | wave 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: wave equation | Statement: [Helmholtz equation, relatedTo, wave equation]
Disambiguation candidates (2 decisions)
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: wave equation Context triple: [Helmholtz equation, relatedTo, wave equation]
-
A.
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.
-
B.
d’Alembert’s formula
d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
-
C.
Wave Field
Wave Field is a large-scale earthwork sculpture by artist Maya Lin that evokes the motion of ocean waves through undulating landforms.
-
D.
Rayleigh waves
Rayleigh waves are a type of surface seismic wave that travel along the ground with a rolling motion, causing both vertical and horizontal ground displacement.
-
E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: wave equation Target entity description: The wave equation is a fundamental second-order partial differential equation that models how wave-like phenomena such as sound, light, and water waves propagate through space and time.
-
A.
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.
-
B.
d’Alembert’s formula
d’Alembert’s formula is a classical solution method for the one-dimensional wave equation that expresses the displacement of a vibrating string in terms of its initial shape and velocity.
-
C.
Wave Field
Wave Field is a large-scale earthwork sculpture by artist Maya Lin that evokes the motion of ocean waves through undulating landforms.
-
D.
Rayleigh waves
Rayleigh waves are a type of surface seismic wave that travel along the ground with a rolling motion, causing both vertical and horizontal ground displacement.
-
E.
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.
- F. None of above. chosen
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.