Triple

T22033913
Position Surface form Disambiguated ID Type / Status
Subject Calderón–Zygmund theory E544152 entity
Predicate instanceOf P0 FINISHED
Object branch of harmonic analysis 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: branch of harmonic analysis
Context triple: [Calderón–Zygmund theory, instanceOf, branch of harmonic analysis]
  • 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. branch of mathematics
    A branch of mathematics is a major subdivision of the mathematical sciences that focuses on a specific set of concepts, structures, and methods, such as algebra, geometry, or analysis.
  • C. basis in functional analysis
    A basis in functional analysis is a (typically countable) collection of vectors in a topological vector space such that every element of the space can be uniquely represented as a convergent linear combination of these vectors.
  • D. foundational work in functional analysis
    Foundational work in functional analysis establishes the core concepts, theorems, and structures—such as normed spaces, Banach and Hilbert spaces, operators, and spectral theory—that underpin the rigorous study of infinite-dimensional linear systems and their applications.
  • E. object of analytic number theory
    An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
  • 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_69e11e2f98c8819083e11eab90942a78 completed April 16, 2026, 5:36 p.m.
Created at: April 16, 2026, 8:24 p.m.