Triple

T2040182
Position Surface form Disambiguated ID Type / Status
Subject Edmund Halley E44724 entity
Predicate knownFor P22 FINISHED
Object Halley’s method for solving equations
Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
E229501 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: Halley’s method for solving equations | Statement: [Edmund Halley, knownFor, Halley’s method for solving equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Halley’s method for solving equations
Context triple: [Edmund Halley, knownFor, Halley’s method for solving equations]
  • A. Euler’s method for numerical integration
    Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
  • B. Picard iteration
    Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
  • C. 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.
  • D. Successive Over-Relaxation
    Successive Over-Relaxation is an iterative numerical method that accelerates the convergence of the Gauss–Seidel algorithm for solving large systems of linear equations by introducing a relaxation factor.
  • E. Milstein method
    The Milstein method is a numerical scheme for solving stochastic differential equations that improves on the Euler–Maruyama method by including derivative terms of the diffusion coefficient for higher accuracy.
  • 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: Halley’s method for solving equations
Triple: [Edmund Halley, knownFor, Halley’s method for solving equations]
Generated description
Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Halley’s method for solving equations
Target entity description: Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
  • A. Euler’s method for numerical integration
    Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
  • B. Picard iteration
    Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
  • C. 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.
  • D. Successive Over-Relaxation
    Successive Over-Relaxation is an iterative numerical method that accelerates the convergence of the Gauss–Seidel algorithm for solving large systems of linear equations by introducing a relaxation factor.
  • E. Milstein method
    The Milstein method is a numerical scheme for solving stochastic differential equations that improves on the Euler–Maruyama method by including derivative terms of the diffusion coefficient for higher accuracy.
  • 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_69a889159ec481908f9e4472d9f480c7 completed March 4, 2026, 7:33 p.m.
NER Named-entity recognition batch_69abb9533bd881909e3aecff7ddb5a8b completed March 7, 2026, 5:36 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae1ff92928819093f42f0fe4a935b3 completed March 9, 2026, 1:18 a.m.
NEDg Description generation batch_69ae20efd4dc8190addf69c80a33d247 completed March 9, 2026, 1:22 a.m.
NED2 Entity disambiguation (via description) batch_69ae21b4ce248190bbd7542592db0ec4 completed March 9, 2026, 1:26 a.m.
Created at: March 4, 2026, 7:39 p.m.