Triple
T7833127
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lyapunov exponents |
E181623
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | invariant of dynamical systems |
C10588
|
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: invariant of dynamical systems Context triple: [Lyapunov exponents, instanceOf, invariant of dynamical systems]
-
A.
tool in dynamical systems theory
A tool in dynamical systems theory is a conceptual or computational method—such as phase portraits, Lyapunov functions, or Poincaré maps—used to analyze, visualize, and understand the qualitative and quantitative behavior of dynamical systems over time.
-
B.
integrable rigid body system
An integrable rigid body system is a mechanical model of a rigid body whose equations of motion admit enough conserved quantities to be solved exactly, typically allowing its dynamics to be expressed in terms of action-angle variables.
-
C.
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.
-
D.
geometric invariant
chosen
A geometric invariant is a property of a geometric object that remains unchanged under a specified group of transformations, such as rotations, translations, or more general symmetries.
-
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.