Triple

T19050684
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet kernel E466248 entity
Predicate instanceOf P0 FINISHED
Object summability kernel C41096 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: summability kernel
Context triple: [Dirichlet kernel, instanceOf, summability kernel]
  • A. reproducing kernel
    A reproducing kernel is a positive-definite function on a set that allows every function in an associated Hilbert space to be evaluated at any point via an inner product with the kernel.
  • B. tempered distribution
    A tempered distribution is a continuous linear functional on the Schwartz space of rapidly decreasing smooth test functions, generalizing functions and allowing the Fourier transform to be extended to a broad class of generalized functions.
  • C. compact operator
    A compact operator is a linear operator between normed spaces that maps bounded sets to relatively compact sets, meaning the image of any bounded sequence has a convergent subsequence.
  • D. 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.
  • E. integral operator
    An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
  • F. None of above. chosen

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_69d8dd040fb881909af2a964f65ad208 completed April 10, 2026, 11:20 a.m.
Created at: April 10, 2026, 12:03 p.m.