Triple
T20627021
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory measurability criterion |
E506846
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | concept in measure theory |
C30699
|
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: concept in measure theory Context triple: [Carathéodory measurability criterion, instanceOf, concept in measure theory]
-
A.
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.
-
B.
set-theoretic concept
A set-theoretic concept is an abstract mathematical idea defined in terms of sets and their elements, relationships, and operations, such as membership, union, intersection, and power sets.
-
C.
concept in stochastic process theory
A concept in stochastic process theory is an abstract construct used to model and analyze systems that evolve randomly over time, capturing their probabilistic dynamics and dependencies.
-
D.
measure
chosen
A measure is a function that assigns a non-negative extended real number to subsets of a given set in a way that generalizes notions of length, area, and volume while satisfying countable additivity.
-
E.
concept in group theory
A class in group theory is a subset of group elements that are equivalent under conjugation, meaning each element can be written as g⁻¹ag for some fixed a and varying g in the group.
- 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_69e0b4bd4a0081908d4e97a590a33fb2 |
completed | April 16, 2026, 10:06 a.m. |
Created at: April 16, 2026, 11:42 a.m.