Triple

T19285046
Position Surface form Disambiguated ID Type / Status
Subject Fourier series E482288 entity
Predicate instanceOf P0 FINISHED
Object representation of periodic functions C29201 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: representation of periodic functions
Context triple: [Fourier series, instanceOf, representation of periodic functions]
  • A. mathematical representation chosen
    A mathematical representation is a formal, structured way of expressing abstract mathematical objects or relationships—such as numbers, functions, or systems—using symbols, equations, diagrams, or other mathematical constructs to enable analysis and reasoning.
  • B. phase-space representation
    A phase-space representation is a way of describing a physical system by specifying its state as a point or distribution in a multidimensional space whose axes are the system’s generalized coordinates and their conjugate momenta.
  • C. special function
    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.
  • D. representation of a group
    A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
  • E. Dirichlet series
    A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-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_69d8e8cf61b0819096fe3e4107827c4e completed April 10, 2026, 12:10 p.m.
Created at: April 10, 2026, 1:30 p.m.