Triple

T12597368
Position Surface form Disambiguated ID Type / Status
Subject Runge–Kutta methods E300766 entity
Predicate hasExample P1259 FINISHED
Object midpoint Runge–Kutta method
The midpoint Runge–Kutta method is a second-order numerical technique for solving ordinary differential equations that estimates the solution by evaluating the derivative at the midpoint of each integration step.
E300766 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: midpoint Runge–Kutta method | Statement: [Runge–Kutta methods, hasExample, midpoint Runge–Kutta method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: midpoint Runge–Kutta method
Context triple: [Runge–Kutta methods, hasExample, midpoint Runge–Kutta method]
  • A. Runge–Kutta methods
    Runge–Kutta methods are a family of iterative techniques for numerically solving ordinary differential equations with higher accuracy than simple one-step schemes.
  • B. classical fourth-order Runge–Kutta method
    The classical fourth-order Runge–Kutta method is a widely used, higher-accuracy numerical technique for solving ordinary differential equations by combining multiple intermediate slope evaluations within each integration step.
  • C. Heun’s method
    Heun’s method is a second-order Runge–Kutta numerical integration technique that improves on Euler’s method by using a predictor-corrector approach to achieve greater accuracy.
  • D. 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.
  • 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: midpoint Runge–Kutta method
Triple: [Runge–Kutta methods, hasExample, midpoint Runge–Kutta method]
Generated description
The midpoint Runge–Kutta method is a second-order numerical technique for solving ordinary differential equations that estimates the solution by evaluating the derivative at the midpoint of each integration step.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: midpoint Runge–Kutta method
Target entity description: The midpoint Runge–Kutta method is a second-order numerical technique for solving ordinary differential equations that estimates the solution by evaluating the derivative at the midpoint of each integration step.
  • A. Runge–Kutta methods chosen
    Runge–Kutta methods are a family of iterative techniques for numerically solving ordinary differential equations with higher accuracy than simple one-step schemes.
  • B. classical fourth-order Runge–Kutta method
    The classical fourth-order Runge–Kutta method is a widely used, higher-accuracy numerical technique for solving ordinary differential equations by combining multiple intermediate slope evaluations within each integration step.
  • C. Heun’s method
    Heun’s method is a second-order Runge–Kutta numerical integration technique that improves on Euler’s method by using a predictor-corrector approach to achieve greater accuracy.
  • D. 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.
  • 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.

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_69d7bdea2ca881908f379526c13b1145 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d954cf33b88190bff339fcd3142cc8 completed April 10, 2026, 7:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f65ec75fc08190aa13cbb0161eb35c completed May 2, 2026, 8:29 p.m.
NEDg Description generation batch_69f6605bca10819086966e1574c31318 completed May 2, 2026, 8:36 p.m.
NED2 Entity disambiguation (via description) batch_69f6617997188190bfce14c54619af7f completed May 2, 2026, 8:41 p.m.
Created at: April 9, 2026, 5:08 p.m.