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.