Triple

T16249650
Position Surface form Disambiguated ID Type / Status
Subject Laplacian spectrum E394466 entity
Predicate relatedTo P37 FINISHED
Object Neumann boundary conditions E458005 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: Neumann boundary conditions | Statement: [Laplacian spectrum, relatedTo, Neumann boundary conditions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Neumann boundary conditions
Context triple: [Laplacian spectrum, relatedTo, Neumann boundary conditions]
  • A. Dirichlet boundary conditions
    Dirichlet boundary conditions are a fundamental type of boundary condition in differential equations and mathematical physics, specifying the values that a solution must take on the boundary of the domain.
  • B. Navier boundary condition
    The Navier boundary condition is a fluid mechanics boundary condition that allows for partial slip of a fluid along a solid surface, relating the tangential velocity at the boundary to the shear stress via a slip length.
  • C. Neumann boundary conditions in potential theory chosen
    Neumann boundary conditions in potential theory specify that the normal derivative of a potential function on a boundary is prescribed, modeling situations where flux across the boundary is controlled rather than the potential itself.
  • D. Dirichlet problem
    The Dirichlet problem is a fundamental boundary value problem in potential theory and partial differential equations, asking for a function that solves a specified PDE inside a domain while taking prescribed values on the domain’s boundary.
  • E. Noether boundary value problems
    Noether boundary value problems are a class of boundary value problems in the theory of partial differential equations characterized by conditions ensuring well-posedness and finite-dimensional solution spaces, developed by mathematician Fritz Noether.
  • 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_69d87f2171208190951025e526947816 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e24594f23c8190bd59fcb2585cb5e3 completed April 17, 2026, 2:37 p.m.
NED1 Entity disambiguation (via context triple) batch_6a0017b1e22c8190bddca67661121c2d completed May 10, 2026, 5:29 a.m.
Created at: April 10, 2026, 5:04 a.m.