Triple
T3780951
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ulam problem in set theory |
E85414
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | problem in measure theory |
C7254
|
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: problem in measure theory Context triple: [Ulam problem in set theory, instanceOf, problem 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.
integration theory
Integration theory is a branch of mathematical analysis that rigorously defines and studies the process of assigning numerical values (integrals) to functions, generalizing area, accumulation, and measure concepts under various frameworks such as Riemann and Lebesgue integration.
-
C.
mathematical problem
chosen
A mathematical problem is a question or task that requires the application of mathematical concepts, methods, or reasoning to find a solution or demonstrate a result.
-
D.
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.
-
E.
problem in field theory
A problem in field theory is a conceptual or computational question involving the properties, structures, and interactions of fields—such as scalar, vector, or gauge fields—typically formulated within the framework of classical or quantum field theory.
- 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_69aed937fa8881908208ef3801060826 |
completed | March 9, 2026, 2:29 p.m. |
Created at: March 9, 2026, 3:12 p.m.