Triple

T11186006
Position Surface form Disambiguated ID Type / Status
Subject Vladimir Steklov E264668 entity
Predicate hasEponym P12247 FINISHED
Object Steklov eigenvalues E910281 NE FINISHED

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: Steklov eigenvalues | Statement: [Vladimir Steklov, hasEponym, Steklov eigenvalues]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steklov eigenvalues
Context triple: [Vladimir Steklov, hasEponym, Steklov eigenvalues]
  • A. Steklov eigenvalue problem chosen
    The Steklov eigenvalue problem is a type of spectral boundary value problem in which eigenvalues appear in the boundary conditions of a partial differential equation, playing a key role in mathematical physics and geometric analysis.
  • B. Steklov operator
    The Steklov operator is a boundary integral operator arising in the study of elliptic partial differential equations and spectral problems, particularly in the context of Steklov eigenvalue problems.
  • C. Sturm–Liouville problem
    The Sturm–Liouville problem is a class of second-order linear differential equations with boundary conditions that yield real eigenvalues and orthogonal eigenfunctions forming a basis for function expansions in mathematical physics and engineering.
  • D. Morawetz inequalities
    Morawetz inequalities are fundamental energy and decay estimates in the study of partial differential equations, especially wave and dispersive equations, that provide control over the long-time behavior of solutions.
  • E. Steklov function
    The Steklov function is a mathematical construct used in approximation theory and numerical analysis, often involving integral averaging to smooth or approximate other functions.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d6aa9eb9248190b20211772621b4bc completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e8abbeac8190ad6e419258999f4e completed April 9, 2026, 5:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69e496f195108190a7bc9c8089ffc364 completed April 19, 2026, 8:48 a.m.
Created at: April 8, 2026, 9:29 p.m.