Triple
T4552398
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Littlewood maximal function |
E120395
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | maximal operator |
C412
|
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: maximal operator Context triple: [Hardy–Littlewood maximal function, instanceOf, maximal operator]
-
A.
area of harmonic analysis
chosen
An area of harmonic analysis is a branch of mathematics focused on representing functions or signals as superpositions of basic waves and studying the properties of these representations.
-
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.
maximal analytic extension
A maximal analytic extension is the largest possible extension of a given spacetime (or manifold with metric) in which the metric and its geodesics can be continued analytically without introducing further removable boundaries or singularities.
-
D.
norm inequality
A norm inequality is a mathematical statement that compares the sizes (norms) of vectors or functions, often establishing bounds or relationships between different norms in a vector space.
-
E.
extreme point
An extreme point of a convex set is a point in the set that cannot be expressed as a nontrivial convex combination of other distinct points from the set.
- 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_69bd4636f1648190a701445c2fcd9c17 |
completed | March 20, 2026, 1:05 p.m. |
Created at: March 20, 2026, 1:09 p.m.