Triple

T19050683
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet kernel E466248 entity
Predicate instanceOf P0 FINISHED
Object trigonometric polynomial C11532 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: trigonometric polynomial
Context triple: [Dirichlet kernel, instanceOf, trigonometric polynomial]
  • A. piecewise polynomial function
    A piecewise polynomial function is a function defined by different polynomial expressions on distinct intervals of its domain, with each piece applying over a specific subrange.
  • B. theory of polynomial sequences
    A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
  • C. circle method
    The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
  • D. special function chosen
    A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
  • E. 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.
  • 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_69d8dd040fb881909af2a964f65ad208 completed April 10, 2026, 11:20 a.m.
Created at: April 10, 2026, 12:03 p.m.