Triple

T5772923
Position Surface form Disambiguated ID Type / Status
Subject Kirchhoff diffraction theory E127369 entity
Predicate relatesTo P37 FINISHED
Object 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.
 E544889 NE FINISHED

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: Helmholtz equation | Statement: [Kirchhoff diffraction theory, relatesTo, Helmholtz 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: Helmholtz equation
Context triple: [Kirchhoff diffraction theory, relatesTo, Helmholtz equation]
  • A. 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.
  • B. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • C. Hertzian waves
    Hertzian waves are early experimentally demonstrated electromagnetic waves that confirmed James Clerk Maxwell’s theory of electromagnetism and paved the way for modern radio communication.
  • D. Huygens–Fresnel principle
    The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
  • E. Schrödinger equation
    The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
  • 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: Helmholtz equation
Target entity description: The Helmholtz equation is a fundamental partial differential equation that describes time-harmonic wave propagation in fields such as acoustics, electromagnetism, and optics.
  • A. 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.
  • B. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • C. Hertzian waves
    Hertzian waves are early experimentally demonstrated electromagnetic waves that confirmed James Clerk Maxwell’s theory of electromagnetism and paved the way for modern radio communication.
  • D. Huygens–Fresnel principle
    The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
  • E. Schrödinger equation
    The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
  • F. None of above. chosen

How the object was described

The object's one-sentence description was generated by prompting gpt-5.1 with the object name and this triple as context.

Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Helmholtz equation
Triple: [Kirchhoff diffraction theory, relatesTo, Helmholtz equation]
Generated description
The Helmholtz equation is a fundamental partial differential equation that describes time-harmonic wave propagation in fields such as acoustics, electromagnetism, and optics.

Provenance (5 batches)

Stage Batch ID Job type Status
creating batch_69c00834f6308190851b0abeddd8ed7e elicitation completed
NER batch_69c029af681081908276e99c568561ce ner completed
NED1 batch_69c07e686ad88190b34e5e94145b44dc ned_source_triple completed
NED2 batch_69c08dac9eec8190996f6c537777801b ned_description completed
NEDg batch_69c08d238384819089104f5c778ec315 nedg completed
Created at: March 22, 2026, 3:50 p.m.