Triple

T17040790
Position Surface form Disambiguated ID Type / Status
Subject CFL condition E413440 entity
Predicate involvesQuantity P4227 FINISHED
Object Courant number
The Courant number is a dimensionless parameter in numerical analysis that measures the ratio of physical wave propagation speed to the computational grid speed, governing the stability of time-stepping schemes for partial differential equations.
E87775 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: Courant number | Statement: [CFL condition, involvesQuantity, Courant number]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Courant number
Context triple: [CFL condition, involvesQuantity, Courant number]
  • A. Courant–Friedrichs–Lewy condition
    The Courant–Friedrichs–Lewy condition is a fundamental stability criterion in numerical analysis that restricts the time step size in discretized partial differential equations to ensure convergence of the computed solution.
  • B. von Neumann stability analysis
    Von Neumann stability analysis is a mathematical technique used in numerical analysis to determine the stability of finite difference schemes for solving partial differential equations by examining the growth of Fourier modes.
  • C. Reynolds number
    The Reynolds number is a dimensionless quantity in fluid mechanics that characterizes the flow regime of a fluid, indicating whether it is laminar or turbulent based on the ratio of inertial to viscous forces.
  • D. Crank–Nicolson scheme
    The Crank–Nicolson scheme is a finite difference method for numerically solving time-dependent partial differential equations, especially parabolic ones like the heat equation, known for its second-order accuracy and unconditional stability.
  • E. Lax–Friedrichs scheme
    The Lax–Friedrichs scheme is a numerical method for approximating solutions to hyperbolic partial differential equations, known for its simplicity and strong stability properties.
  • 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: Courant number
Triple: [CFL condition, involvesQuantity, Courant number]
Generated description
The Courant number is a dimensionless parameter in numerical analysis that measures the ratio of physical wave propagation speed to the computational grid speed, governing the stability of time-stepping schemes for partial differential equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Courant number
Target entity description: The Courant number is a dimensionless parameter in numerical analysis that measures the ratio of physical wave propagation speed to the computational grid speed, governing the stability of time-stepping schemes for partial differential equations.
  • A. Courant–Friedrichs–Lewy condition chosen
    The Courant–Friedrichs–Lewy condition is a fundamental stability criterion in numerical analysis that restricts the time step size in discretized partial differential equations to ensure convergence of the computed solution.
  • B. von Neumann stability analysis
    Von Neumann stability analysis is a mathematical technique used in numerical analysis to determine the stability of finite difference schemes for solving partial differential equations by examining the growth of Fourier modes.
  • C. Reynolds number
    The Reynolds number is a dimensionless quantity in fluid mechanics that characterizes the flow regime of a fluid, indicating whether it is laminar or turbulent based on the ratio of inertial to viscous forces.
  • D. Crank–Nicolson scheme
    The Crank–Nicolson scheme is a finite difference method for numerically solving time-dependent partial differential equations, especially parabolic ones like the heat equation, known for its second-order accuracy and unconditional stability.
  • E. Lax–Friedrichs scheme
    The Lax–Friedrichs scheme is a numerical method for approximating solutions to hyperbolic partial differential equations, known for its simplicity and strong stability properties.
  • 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_69d886cd18288190b006abab23f811b7 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d8f6a0c08190a838279b83b55b72 completed April 18, 2026, 7:18 p.m.
NED1 Entity disambiguation (via context triple) batch_6a012338a95c8190951db96209edb61a completed May 11, 2026, 12:30 a.m.
NEDg Description generation batch_6a01241510048190ae1c459873f8a587 completed May 11, 2026, 12:34 a.m.
NED2 Entity disambiguation (via description) batch_6a0124e389908190b2ee3121be2c9383 completed May 11, 2026, 12:37 a.m.
Created at: April 10, 2026, 5:33 a.m.