Triple
T14168643
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Itô integral |
E351145
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | construction in stochastic calculus |
C11644
|
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: construction in stochastic calculus Context triple: [Itô integral, instanceOf, construction in stochastic calculus]
-
A.
stochastic process
A stochastic process is a collection of random variables indexed by time or space that describes the evolution of a system subject to inherent randomness.
-
B.
measure-theoretic construction
chosen
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.
random variable functional
A random variable functional is a mapping that takes one or more random variables (or their distributions) as input and returns a real-valued quantity summarizing some aspect of their probabilistic behavior.
-
D.
construction in proof theory
A construction in proof theory is a systematically defined method or procedure used within formal proofs to build objects, derive new statements, or transform existing proofs while preserving logical validity.
-
E.
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.
- 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_69d8278775fc8190b0802d22ca2f495d |
completed | April 9, 2026, 10:26 p.m. |
Created at: April 10, 2026, 1 a.m.