Triple
T8689
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fourier analysis |
E173
|
entity |
| Predicate | usesConcept |
P531
|
FINISHED |
| Object |
Fourier series
A Fourier series is a mathematical representation that expresses a periodic function as an infinite sum of sines and cosines with different frequencies and amplitudes.
|
E173
|
NE FINISHED |
How this triple was built (5 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Fourier series | Statement: [Fourier analysis, usesConcept, Fourier series]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fourier series Context triple: [Fourier analysis, usesConcept, Fourier series]
-
A.
Fourier analysis
Fourier analysis is a mathematical method for decomposing functions or signals into sums of sinusoidal components, widely used in fields such as signal processing, physics, and engineering.
-
B.
harmonic analyzer
A harmonic analyzer is a mechanical or electrical device used to decompose complex periodic signals into their constituent sinusoidal components for analysis.
-
C.
superheterodyne receiver
The superheterodyne receiver is a radio receiver architecture that improves selectivity and sensitivity by converting incoming radio signals to a fixed intermediate frequency before final detection.
-
D.
Differential analyzer
The Differential Analyzer is an early analog mechanical computer designed to solve differential equations using interconnected rotating shafts and wheels.
-
E.
Sununu
Sununu is a prominent American political family name most notably associated with former New Hampshire Governor and White House Chief of Staff John H. Sununu and his son, Governor Chris Sununu.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Fourier series Triple: [Fourier analysis, usesConcept, Fourier series]
Generated description
A Fourier series is a mathematical representation that expresses a periodic function as an infinite sum of sines and cosines with different frequencies and amplitudes.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fourier series Target entity description: A Fourier series is a mathematical representation that expresses a periodic function as an infinite sum of sines and cosines with different frequencies and amplitudes.
-
A.
Fourier analysis
chosen
Fourier analysis is a mathematical method for decomposing functions or signals into sums of sinusoidal components, widely used in fields such as signal processing, physics, and engineering.
-
B.
harmonic analyzer
A harmonic analyzer is a mechanical or electrical device used to decompose complex periodic signals into their constituent sinusoidal components for analysis.
-
C.
superheterodyne receiver
The superheterodyne receiver is a radio receiver architecture that improves selectivity and sensitivity by converting incoming radio signals to a fixed intermediate frequency before final detection.
-
D.
Differential analyzer
The Differential Analyzer is an early analog mechanical computer designed to solve differential equations using interconnected rotating shafts and wheels.
-
E.
Sununu
Sununu is a prominent American political family name most notably associated with former New Hampshire Governor and White House Chief of Staff John H. Sununu and his son, Governor Chris Sununu.
- F. None of above.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: usesConcept Context triple: [Fourier analysis, usesConcept, Fourier series]
-
A.
hasConcept
chosen
Indicates that an entity includes, embodies, or is associated with a particular concept.
-
B.
introducedConcept
Indicates that one entity is responsible for presenting, defining, or bringing a new concept into use or awareness for another entity or context.
-
C.
usedFor
Indicates that one entity serves a purpose, function, or role in accomplishing, enabling, or supporting another entity or activity.
-
D.
demonstratedConcept
Indicates that an entity has shown, illustrated, or made evident a particular concept through example, explanation, or action.
-
E.
coreIdea
Indicates the central concept or primary message that underlies or unifies something, such as a text, argument, or work.
- F. None of above.
Provenance (6 batches)
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_69a23bb612708190b09f25385e4b63d1 |
completed | Feb. 28, 2026, 12:49 a.m. |
| NER | Named-entity recognition | batch_69a2407916ac8190b76d2e6690efaef3 |
completed | Feb. 28, 2026, 1:10 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69a243c87d988190a9d0649c4a04c7b7 |
completed | Feb. 28, 2026, 1:24 a.m. |
| NEDg | Description generation | batch_69a2464617148190ae1b5e316dd37efe |
completed | Feb. 28, 2026, 1:35 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69a246bff58481908eebdbcb88e1ff78 |
completed | Feb. 28, 2026, 1:37 a.m. |
| PD | Predicate disambiguation | batch_69a23fe3a87881909ab95bb3a0b474ec |
completed | Feb. 28, 2026, 1:07 a.m. |
Created at: Feb. 28, 2026, 12:54 a.m.