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.