Triple

T18729840
Position Surface form Disambiguated ID Type / Status
Subject Neumann boundary conditions in potential theory E458005 entity
Predicate relatedTo P37 FINISHED
Object Green's identities 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: Green's identities | Statement: [Neumann boundary conditions in potential theory, relatedTo, Green's identities]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Green's identities
Context triple: [Neumann boundary conditions in potential theory, relatedTo, Green's identities]
  • A. Green's identities chosen
    Green's identities are a set of integral formulas in vector calculus that relate functions and their Laplacians over a region to their behavior on the region’s boundary, forming a foundation for potential theory and partial differential equations.
  • B. Green's functions
    Green's functions are mathematical tools used in physics and engineering to solve inhomogeneous differential equations and describe the propagation of fields or particles in space and time.
  • C. Wirtinger relations
    Wirtinger relations are algebraic relations among generators in a knot group presentation that encode how strands of a knot interact at each crossing.
  • D. Green's theorem
    Green's theorem is a fundamental result in vector calculus that relates a line integral around a simple closed curve in the plane to a double integral over the region it encloses.
  • E. Bochner–Kodaira–Nakano identity
    The Bochner–Kodaira–Nakano identity is a fundamental formula in complex differential geometry relating the Laplacian on differential forms to curvature terms, with key applications to vanishing theorems and Hodge theory.
  • 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_69d8d393ba9c8190a8b03b04ddbb0a09 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e56d7660488190b4f70db963d05ef6 completed April 20, 2026, 12:04 a.m.
Created at: April 10, 2026, 11:50 a.m.