Triple
T36468328
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Stieltjes measure |
E898477
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Lebesgue–Stieltjes measure |
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: Lebesgue–Stieltjes measure Context triple: [Stieltjes measure, instanceOf, Lebesgue–Stieltjes measure]
-
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.
generalization of Lebesgue spaces
A generalization of Lebesgue spaces is a function space framework that extends classical \(L^p\) spaces by relaxing or modifying their integrability, norm, or measure-theoretic structure to capture more nuanced behaviors of functions and distributions.
-
C.
canonical measure
A canonical measure is a mathematically natural, uniquely determined measure associated with a given structure or space, chosen according to its intrinsic symmetries or defining properties.
-
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.
standard Borel space
A standard Borel space is a measurable space that is isomorphic (as a measurable space) to a Borel subset of a complete separable metric (Polish) space equipped with its Borel σ-algebra.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.