Triple

T20470917
Position Surface form Disambiguated ID Type / Status
Subject Hermite functions E502189 entity
Predicate relatedTo P37 FINISHED
Object Weber–Hermite differential equation — NE NERFINISHED

How this triple was built (2 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: Weber–Hermite differential equation | Statement: [Hermite functions, relatedTo, Weber–Hermite differential equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Weber–Hermite differential equation
Context triple: [Hermite functions, relatedTo, Weber–Hermite differential equation]
  • A. Hermite differential equation chosen
    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.
  • 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 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.
  • D. 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.
  • E. Christoffel–Darboux formula
    The Christoffel–Darboux formula is a key result in the theory of orthogonal polynomials that provides an explicit expression for sums of products of such polynomials, with important applications in approximation theory and mathematical physics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0b4ae5f1081908768b0c9a3a0bf38 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e699608d7c8190910217817e789915 completed April 20, 2026, 9:23 p.m.
Created at: April 16, 2026, 11:33 a.m.