Triple
T7449387
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kakutani equivalence in ergodic theory |
E171967
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | notion in measurable dynamics |
C21648
|
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: notion in measurable dynamics Context triple: [Kakutani equivalence in ergodic theory, instanceOf, notion in measurable dynamics]
-
A.
tool in dynamical systems theory
chosen
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.
measure-theoretic construction
A measure-theoretic construction is a rigorous method of building mathematical objects—such as measures, integrals, or probability spaces—by specifying σ-algebras, set functions, and limiting processes that satisfy the axioms of measure theory.
-
C.
entropy measure
An entropy measure is a quantitative metric that captures the amount of uncertainty, randomness, or information content in a system, distribution, or process.
-
D.
complexity measure
A complexity measure is a quantitative function or criterion used to assess and compare the intricacy, difficulty, or resource requirements of objects, systems, or problems.
-
E.
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.
- 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_69c68a65402881908f7869368eb746fb |
completed | March 27, 2026, 1:47 p.m. |
Created at: March 27, 2026, 3:14 p.m.