Triple

T4094287
Position Surface form Disambiguated ID Type / Status
Subject Courant–Friedrichs–Lewy condition E87775 entity
Predicate relatedConcept P37 FINISHED
Object Lax equivalence theorem E87776 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: Lax equivalence theorem | Statement: [Courant–Friedrichs–Lewy condition, relatedConcept, Lax equivalence theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lax equivalence theorem
Context triple: [Courant–Friedrichs–Lewy condition, relatedConcept, Lax equivalence theorem]
  • A. Lax equivalence theorem chosen
    The Lax equivalence theorem is a fundamental result in numerical analysis stating that for a well-posed linear initial value problem, consistency and stability of a finite difference scheme together imply its convergence.
  • B. Courant–Friedrichs–Lewy condition
    The Courant–Friedrichs–Lewy condition is a fundamental stability criterion in numerical analysis that restricts the time step size in discretized partial differential equations to ensure convergence of the computed solution.
  • C. Godunov-type schemes
    Godunov-type schemes are a class of finite-volume numerical methods for solving hyperbolic conservation laws that use Riemann solvers to accurately capture shock waves and discontinuities.
  • D. Cauchy–Kovalevskaya theorem
    The Cauchy–Kovalevskaya theorem is a fundamental result in partial differential equations that guarantees the existence and uniqueness of analytic solutions to certain initial value problems under appropriate analyticity conditions.
  • E. von Neumann stability analysis
    Von Neumann stability analysis is a mathematical technique used in numerical analysis to determine the stability of finite difference schemes for solving partial differential equations by examining the growth of Fourier modes.
  • 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_69aed94425148190be337845d56fac22 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aefcdc1ce08190922f55f812b0fda3 completed March 9, 2026, 5:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69b56b6f8bb081908aa2d126fe3c9502 completed March 14, 2026, 2:06 p.m.
Created at: March 9, 2026, 3:40 p.m.