Triple

T22051304
Position Surface form Disambiguated ID Type / Status
Subject Helmholtz equation E544889 entity
Predicate relatedTo P37 FINISHED
Object wave equation
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.
E1516086 NE FINISHED

How this triple was built (4 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: wave equation | Statement: [Helmholtz equation, relatedTo, wave equation]
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.
NEDg Description generation gpt-5.1
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: wave equation
Triple: [Helmholtz equation, relatedTo, wave equation]
Generated 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.
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 (5 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.
NED1 Entity disambiguation (via context triple) batch_6a0a7b7b3ccc8190a4d8728b135aa22d completed May 18, 2026, 2:37 a.m.
NEDg Description generation batch_6a0a7c2705e48190aebbc7b0b6221757 completed May 18, 2026, 2:40 a.m.
NED2 Entity disambiguation (via description) batch_6a0a7ce3c684819090b25ca1e7596722 completed May 18, 2026, 2:43 a.m.
Created at: April 16, 2026, 8:26 p.m.