Triple
T19285045
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fourier series |
E482288
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | series expansion |
C21868
|
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: series expansion Context triple: [Fourier series, instanceOf, series expansion]
-
A.
formal power series
chosen
A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
-
B.
method for manipulating infinite series
A method for manipulating infinite series is a systematic procedure or algorithm used to transform, analyze, or compute sums of infinitely many terms while preserving convergence properties and enabling meaningful results.
-
C.
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.
-
D.
expansion
Expansion is the process or state of increasing in size, scope, quantity, or influence, often by extending beyond original boundaries or limits.
-
E.
tract series
A tract series is a sequence of related written works or pamphlets, typically focused on a specific theme or purpose, published or distributed as a unified set.
- 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.