Triple
T20456220
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Charles Hermite |
E501792
|
entity |
| Predicate | notableFor |
P22
|
FINISHED |
| Object |
Hermite differential equation
The Hermite differential equation is a second-order linear ordinary differential equation whose polynomial solutions, the Hermite polynomials, play a central role in probability theory and quantum mechanics, particularly in the analysis of the quantum harmonic oscillator.
|
E1433112
|
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: Hermite differential equation | Statement: [Charles Hermite, notableFor, Hermite differential equation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hermite differential equation Context triple: [Charles Hermite, notableFor, Hermite differential equation]
-
A.
Hermite polynomials
Hermite polynomials are a classical family of orthogonal polynomials that arise prominently in probability theory and quantum mechanics, particularly in the analysis of the Gaussian distribution and the quantum harmonic oscillator.
-
B.
Kummer's differential equation
Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
-
C.
Hermite
Hermite is a French surname most famously associated with the 19th-century mathematician Charles Hermite, known for his contributions to number theory, algebra, and analysis.
-
D.
Cauchy–Euler equation
The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
-
E.
Laguerre polynomials
Laguerre polynomials are a classical family of orthogonal polynomials that arise in solutions of differential equations and play a key role in quantum mechanics and numerical analysis.
- 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: Hermite differential equation Triple: [Charles Hermite, notableFor, Hermite differential equation]
Generated description
The Hermite differential equation is a second-order linear ordinary differential equation whose polynomial solutions, the Hermite polynomials, play a central role in probability theory and quantum mechanics, particularly in the analysis of the quantum harmonic oscillator.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hermite differential equation Target entity description: The Hermite differential equation is a second-order linear ordinary differential equation whose polynomial solutions, the Hermite polynomials, play a central role in probability theory and quantum mechanics, particularly in the analysis of the quantum harmonic oscillator.
-
A.
Hermite polynomials
Hermite polynomials are a classical family of orthogonal polynomials that arise prominently in probability theory and quantum mechanics, particularly in the analysis of the Gaussian distribution and the quantum harmonic oscillator.
-
B.
Kummer's differential equation
Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
-
C.
Hermite
Hermite is a French surname most famously associated with the 19th-century mathematician Charles Hermite, known for his contributions to number theory, algebra, and analysis.
-
D.
Cauchy–Euler equation
The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
-
E.
Laguerre polynomials
Laguerre polynomials are a classical family of orthogonal polynomials that arise in solutions of differential equations and play a key role in quantum mechanics and numerical analysis.
- 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_69e0b4ad4940819098cf2ff6413574e5 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e696a1b03c8190984d9db6d3251308 |
completed | April 20, 2026, 9:12 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a088b10b6608190a88f466dccf31322 |
completed | May 16, 2026, 3:19 p.m. |
| NEDg | Description generation | batch_6a088c75b09081908a35bc7a9b6a45ce |
completed | May 16, 2026, 3:25 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a088d8c3ab08190a399dba52e3c99f5 |
completed | May 16, 2026, 3:30 p.m. |
Created at: April 16, 2026, 11:32 a.m.