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.