Triple
T34156680
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Plancherel measure |
E876156
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | measure in harmonic analysis |
C11644
|
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: measure in harmonic analysis Context triple: [Plancherel measure, instanceOf, measure in harmonic analysis]
-
A.
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.
-
B.
concept in harmonic analysis
A concept in harmonic analysis is an abstract mathematical construct used to study and represent functions or signals via their frequency components, often through tools like Fourier series, Fourier transforms, and related operators.
-
C.
harmonic analysis textbook
A harmonic analysis textbook is a comprehensive resource that systematically develops the theory and applications of representing functions as superpositions of basic waves, focusing on topics such as Fourier series, Fourier transforms, and related analytical techniques.
-
D.
measure-theoretic construction
chosen
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.
-
E.
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.
- 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_69f349ac987481908a8e6053f665bc8b |
completed | April 30, 2026, 12:23 p.m. |
Created at: May 1, 2026, 1:54 a.m.