Triple

T1382091
Position Surface form Disambiguated ID Type / Status
Subject Gaussian elimination E29360 entity
Predicate relatedTo P37 FINISHED
Object Gauss–Jordan elimination
Gauss–Jordan elimination is a systematic algorithm for solving linear systems and finding matrix inverses by reducing matrices to reduced row echelon form using elementary row operations.
 E29360 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: Gauss–Jordan elimination | Statement: [Gaussian elimination, relatedTo, Gauss–Jordan elimination]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Gauss–Jordan elimination
Context triple: [Gaussian elimination, relatedTo, Gauss–Jordan elimination]
  • A. Gaussian elimination
    Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
  • B. Gauss–Seidel method
    The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
  • C. LinearAlgebra
    LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
  • D. Linear Systems
    "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
  • E. Matrix
    Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
  • 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: Gauss–Jordan elimination
Triple: [Gaussian elimination, relatedTo, Gauss–Jordan elimination]
Generated description
Gauss–Jordan elimination is a systematic algorithm for solving linear systems and finding matrix inverses by reducing matrices to reduced row echelon form using elementary row operations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Gauss–Jordan elimination
Target entity description: Gauss–Jordan elimination is a systematic algorithm for solving linear systems and finding matrix inverses by reducing matrices to reduced row echelon form using elementary row operations.
  • A. Gaussian elimination chosen
    Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
  • B. Gauss–Seidel method
    The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
  • C. LinearAlgebra
    LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
  • D. Linear Systems
    "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
  • E. Matrix
    Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
  • F. None of above.

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_69a498d883a48190bfdca525296ef7ee completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c3361bf08190b3f6bbf82e17685b completed March 1, 2026, 10:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69acd48c41f4819092f7e1302d803662 completed March 8, 2026, 1:44 a.m.
NEDg Description generation batch_69acd543a0ac8190b9fd5e921b5ad9ea completed March 8, 2026, 1:47 a.m.
NED2 Entity disambiguation (via description) batch_69acd5b8fa2481908fd52d94e55b6377 completed March 8, 2026, 1:49 a.m.
Created at: March 1, 2026, 7:59 p.m.