Triple
T4092102
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hölder inequality |
E87726
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in analysis |
C716
|
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: theorem in analysis Context triple: [Hölder inequality, instanceOf, theorem in analysis]
-
A.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
area of harmonic analysis
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.
-
C.
tool in geometric analysis
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
-
D.
stability concept in functional equations
A stability concept in functional equations studies how small deviations from an exact functional relationship affect the existence and form of nearby exact solutions, typically quantifying when approximate solutions imply true solutions close in some specified sense.
-
E.
result in complex analysis
A result in complex analysis is a proven statement or theorem about functions of a complex variable, often revealing deep relationships between analytic, geometric, and topological properties in the complex plane.
- 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_69aed94425148190be337845d56fac22 |
completed | March 9, 2026, 2:29 p.m. |
Created at: March 9, 2026, 3:40 p.m.