Triple
T17341055
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach limit |
E421066
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | object in functional analysis |
C3507
|
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: object in functional analysis Context triple: [Banach limit, instanceOf, object in functional analysis]
-
A.
equation in functional analysis
An equation in functional analysis is a relation, typically involving functions and operators on infinite-dimensional spaces, that specifies conditions these objects must satisfy, often to study existence, uniqueness, and properties of solutions.
-
B.
functional analysis result
A functional analysis result is a formal conclusion or theorem that characterizes the behavior, structure, or properties of functions and operators on infinite-dimensional spaces, typically within the framework of normed, Banach, or Hilbert spaces.
-
C.
analytic functional
An analytic functional is a continuous linear functional defined on a space of analytic functions, often represented via integration against a complex measure or distribution.
-
D.
mathematical object
chosen
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
-
E.
operator theory concept
An operator theory concept is an abstract mathematical construct that studies linear operators on function spaces, focusing on their properties, spectra, and behavior under various transformations.
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
Created at: April 10, 2026, 5:44 a.m.