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.