Triple

T1380681
Position Surface form Disambiguated ID Type / Status
Subject Jean d’Alembert E29329 entity
Predicate knownFor P22 FINISHED
Object d’Alembert operator
The d’Alembert operator is a second-order differential operator fundamental in relativistic wave equations and field theory, generalizing the Laplacian to spacetime.
E139493 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: d’Alembert operator | Statement: [Jean d’Alembert, knownFor, d’Alembert operator]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: d’Alembert operator
Context triple: [Jean d’Alembert, knownFor, d’Alembert operator]
  • A. Laplace operator
    The Laplace operator is a second-order differential operator widely used in mathematics and physics to describe phenomena such as diffusion, heat flow, and wave propagation.
  • B. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • C. Lorentz
    Lorentz is a Dutch surname most famously associated with physicist Hendrik Lorentz, a pioneer of electromagnetic theory and relativity.
  • D. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • E. Lie derivative
    The Lie derivative is a fundamental differential operator in differential geometry that measures how a tensor field changes along the flow generated by a vector field.
  • 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: d’Alembert operator
Triple: [Jean d’Alembert, knownFor, d’Alembert operator]
Generated description
The d’Alembert operator is a second-order differential operator fundamental in relativistic wave equations and field theory, generalizing the Laplacian to spacetime.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: d’Alembert operator
Target entity description: The d’Alembert operator is a second-order differential operator fundamental in relativistic wave equations and field theory, generalizing the Laplacian to spacetime.
  • A. Laplace operator chosen
    The Laplace operator is a second-order differential operator widely used in mathematics and physics to describe phenomena such as diffusion, heat flow, and wave propagation.
  • B. Klein–Gordon equation
    The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
  • C. Lorentz
    Lorentz is a Dutch surname most famously associated with physicist Hendrik Lorentz, a pioneer of electromagnetic theory and relativity.
  • D. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • E. Lie derivative
    The Lie derivative is a fundamental differential operator in differential geometry that measures how a tensor field changes along the flow generated by a vector field.
  • F. None of above.

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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c319f46481909ba8a69a19b865e5 completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48a48fc81908b156c273cb5dfc0 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd77d879881908decae7056bfd277 completed March 8, 2026, 1:57 a.m.
NED2 Entity disambiguation (via description) batch_69acd81c7c1081908b65ca5a57f8706e completed March 8, 2026, 1:59 a.m.
Created at: March 1, 2026, 7:59 p.m.