Triple

T3600027

Position	Surface form	Disambiguated ID	Type / Status
Subject	John W. Tukey	`E76231`	entity
Predicate	coDeveloped	`P6901`	FINISHED
Object	Cooley–Tukey Fast Fourier Transform algorithm The Cooley–Tukey Fast Fourier Transform algorithm is a widely used, efficient method for computing the discrete Fourier transform that revolutionized digital signal processing and numerical analysis.	`E373658`	NE FINISHED

How this triple was built (4 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: Cooley–Tukey Fast Fourier Transform algorithm | Statement: [John W. Tukey, coDeveloped, Cooley–Tukey Fast Fourier Transform algorithm]

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Cooley–Tukey Fast Fourier Transform algorithm
Context triple: [John W. Tukey, coDeveloped, Cooley–Tukey Fast Fourier Transform algorithm]

A. FFT
FFT is the ICAO airline designator used in aviation to identify Frontier Airlines in flight plans and air traffic control communications.
B. Fourier
Fourier is a French surname most famously associated with Jean-Baptiste Joseph Fourier, the mathematician and physicist known for developing Fourier analysis and Fourier series.
C. Berlekamp’s algorithm for factoring polynomials over finite fields
Berlekamp’s algorithm for factoring polynomials over finite fields is a foundational deterministic method in computational algebra that efficiently decomposes polynomials into irreducible factors over finite fields and underpins many modern algorithms in coding theory and cryptography.
D. Marzullo's algorithm
Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
E. Berlekamp–Massey algorithm
The Berlekamp–Massey algorithm is a key algorithm in coding theory and cryptography used to efficiently determine the shortest linear feedback shift register that generates a given binary sequence.
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: Cooley–Tukey Fast Fourier Transform algorithm
Triple: [John W. Tukey, coDeveloped, Cooley–Tukey Fast Fourier Transform algorithm]

Generated description

The Cooley–Tukey Fast Fourier Transform algorithm is a widely used, efficient method for computing the discrete Fourier transform that revolutionized digital signal processing and numerical analysis.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Cooley–Tukey Fast Fourier Transform algorithm
Target entity description: The Cooley–Tukey Fast Fourier Transform algorithm is a widely used, efficient method for computing the discrete Fourier transform that revolutionized digital signal processing and numerical analysis.

A. FFT
FFT is the ICAO airline designator used in aviation to identify Frontier Airlines in flight plans and air traffic control communications.
B. Fourier
Fourier is a French surname most famously associated with Jean-Baptiste Joseph Fourier, the mathematician and physicist known for developing Fourier analysis and Fourier series.
C. Berlekamp’s algorithm for factoring polynomials over finite fields
Berlekamp’s algorithm for factoring polynomials over finite fields is a foundational deterministic method in computational algebra that efficiently decomposes polynomials into irreducible factors over finite fields and underpins many modern algorithms in coding theory and cryptography.
D. Marzullo's algorithm
Marzullo's algorithm is a method for selecting the most likely correct time interval from multiple, possibly conflicting time sources, commonly used in clock synchronization systems.
E. Berlekamp–Massey algorithm
The Berlekamp–Massey algorithm is a key algorithm in coding theory and cryptography used to efficiently determine the shortest linear feedback shift register that generates a given binary sequence.
F. None of above. chosen

Provenance (5 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_69ad85d93dcc819094fba90cf70f4996`	completed	March 8, 2026, 2:21 p.m.
NER	Named-entity recognition	`batch_69adc19fd57481908ce5c9daf168e213`	completed	March 8, 2026, 6:36 p.m.
NED1	Entity disambiguation (via context triple)	`batch_69b43309a9b48190bc2aa6f970d45612`	completed	March 13, 2026, 3:53 p.m.
NEDg	Description generation	`batch_69b43705642881909c62b7363a4f3a12`	completed	March 13, 2026, 4:10 p.m.
NED2	Entity disambiguation (via description)	`batch_69b4379cd04c81909246747bcc357261`	completed	March 13, 2026, 4:13 p.m.

Created at: March 8, 2026, 3:22 p.m.