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.