Triple
T7833076
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lyapunov stability theory |
E181622
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | stability theory |
C3748
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: stability theory Context triple: [Lyapunov stability theory, instanceOf, stability theory]
-
A.
stability concept in functional equations
A stability concept in functional equations studies how small deviations from an exact functional relationship affect the existence and form of nearby exact solutions, typically quantifying when approximate solutions imply true solutions close in some specified sense.
-
B.
astrophysical stability criterion
An astrophysical stability criterion is a theoretical condition or set of conditions used to determine whether an astronomical system (such as a star, disk, or gas cloud) will remain in equilibrium or undergo collapse, fragmentation, or other dynamical instabilities.
-
C.
mathematical structure
chosen
A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
-
D.
numerical stability condition
A numerical stability condition is a mathematical requirement on the step size, discretization parameters, or algorithmic choices that ensures errors in a numerical method do not grow uncontrollably during computation.
-
E.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
- F. None of above.
Provenance (1 batch)
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_69ca8284a25c8190a1a20afad30da792 |
completed | March 30, 2026, 2:02 p.m. |
Created at: March 30, 2026, 4:45 p.m.