Triple

T9515009
Position Surface form Disambiguated ID Type / Status
Subject Halley’s method for solving equations E229501 entity
Predicate generalizationOf P2372 FINISHED
Object Newton’s method
Newton’s method is an iterative numerical technique used to find successively better approximations to the roots of a real-valued function.
 E803455 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: Newton’s method | Statement: [Halley’s method for solving equations, generalizationOf, Newton’s method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Newton’s method
Context triple: [Halley’s method for solving equations, generalizationOf, Newton’s method]
  • A. 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.
  • B. Godunov's method
    Godunov's method is a numerical scheme for solving hyperbolic partial differential equations that uses exact or approximate Riemann solvers to compute fluxes at cell interfaces in finite-volume discretizations.
  • C. NewtonFour
    NewtonFour is a liquid-fueled rocket engine developed by Virgin Orbit to power the second stage of its air-launched LauncherOne orbital vehicle.
  • D. Picard iteration
    Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
  • E. 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.
  • 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: Newton’s method
Triple: [Halley’s method for solving equations, generalizationOf, Newton’s method]
Generated description
Newton’s method is an iterative numerical technique used to find successively better approximations to the roots of a real-valued function.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Newton’s method
Target entity description: Newton’s method is an iterative numerical technique used to find successively better approximations to the roots of a real-valued function.
  • A. 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.
  • B. Godunov's method
    Godunov's method is a numerical scheme for solving hyperbolic partial differential equations that uses exact or approximate Riemann solvers to compute fluxes at cell interfaces in finite-volume discretizations.
  • C. NewtonFour
    NewtonFour is a liquid-fueled rocket engine developed by Virgin Orbit to power the second stage of its air-launched LauncherOne orbital vehicle.
  • D. Picard iteration
    Picard iteration is a successive approximation method used to construct solutions to ordinary differential equations and establish their existence and uniqueness.
  • E. 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.
  • 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_69ca84777560819084cddd999badc1aa completed March 30, 2026, 2:11 p.m.
NER Named-entity recognition batch_69cd986d5af08190a001c5a5ff647d4d completed April 1, 2026, 10:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69d13a44c3c08190a09277737c7a98e0 completed April 4, 2026, 4:20 p.m.
NEDg Description generation batch_69d13b0590f0819088812840f7fb03c3 completed April 4, 2026, 4:23 p.m.
NED2 Entity disambiguation (via description) batch_69d13b698f148190a14470df6ff35a43 completed April 4, 2026, 4:25 p.m.
Created at: March 30, 2026, 7:58 p.m.