Triple

T22925474
Position Surface form Disambiguated ID Type / Status
Subject Inners and Stability of Dynamic Systems E569292 entity
Predicate relatedTo P37 FINISHED
Object Schur-Cohn criterion 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: Schur-Cohn criterion | Statement: [Inners and Stability of Dynamic Systems, relatedTo, Schur-Cohn criterion]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schur-Cohn criterion
Context triple: [Inners and Stability of Dynamic Systems, relatedTo, Schur-Cohn criterion]
  • A. Routh–Hurwitz stability criterion
    The Routh–Hurwitz stability criterion is a mathematical test in control theory that determines whether all roots of a system’s characteristic polynomial lie in the left half of the complex plane, ensuring system stability without explicitly computing the roots.
  • B. Schur algorithm chosen
    The Schur algorithm is a recursive procedure in complex analysis and operator theory used to construct and analyze Schur functions, playing a key role in interpolation problems and system theory.
  • C. Nyquist stability criterion
    The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
  • D. Hermite–Biehler theorem
    The Hermite–Biehler theorem is a result in complex analysis and control theory that characterizes when a complex polynomial has all its zeros in the open upper half-plane in terms of the interlacing of zeros of two associated real polynomials.
  • E. Durbin algorithm
    The Durbin algorithm is a recursive numerical method used to efficiently solve linear systems involving Toeplitz matrices, particularly in autoregressive modeling and signal processing.
  • 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_69e2458f7d008190901dccbaebeaba24 completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f180d84fc08190b747c3f9052c657a completed April 29, 2026, 3:54 a.m.
Created at: April 17, 2026, 3:43 p.m.