Triple
T8119374
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | small-gain theorem |
E189566
|
entity |
| Predicate | hasVariant |
P455
|
FINISHED |
| Object | integral small-gain theorem |
E189566
|
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: integral small-gain theorem | Statement: [small-gain theorem, hasVariant, integral small-gain theorem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: integral small-gain theorem Context triple: [small-gain theorem, hasVariant, integral small-gain theorem]
-
A.
small-gain theorem
chosen
The small-gain theorem is a fundamental result in control theory that provides a sufficient condition for the stability of feedback interconnections by requiring the product of system gains to be less than one.
-
B.
Zames–Falb multipliers
Zames–Falb multipliers are a class of frequency-domain operators used in control theory to analyze and guarantee the stability of nonlinear and time-varying feedback systems.
-
C.
Lyapunov stability theory
Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
-
D.
Inners and Stability of Dynamic Systems
"Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
-
E.
Nonlinear Control Systems
Nonlinear Control Systems is a foundational textbook by Alberto Isidori that systematically develops the theory and design methods for controlling nonlinear dynamical systems.
- 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_69ca82baad008190ab2859712b9b1607 |
completed | March 30, 2026, 2:03 p.m. |
| NER | Named-entity recognition | batch_69cb4358e1688190940b98114225113b |
completed | March 31, 2026, 3:45 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ccbea5d39c819099d52545410ae564 |
completed | April 1, 2026, 6:43 a.m. |
Created at: March 30, 2026, 5:33 p.m.