Triple

T7189109
Position Surface form Disambiguated ID Type / Status
Subject Saffman–Taylor instability E167641 entity
Predicate governingEquations P12675 FINISHED
Object Darcy’s law
Darcy’s law is a fundamental equation in fluid mechanics that relates the volumetric flow rate of a fluid through a porous medium to the pressure gradient, permeability, and fluid viscosity.
E647520 NE FINISHED

How this triple was built (5 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: Darcy’s law | Statement: [Saffman–Taylor instability, governingEquations, Darcy’s law]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Darcy’s law
Context triple: [Saffman–Taylor instability, governingEquations, Darcy’s law]
  • A. Stokes' law
    Stokes' law is a fundamental equation in fluid dynamics that describes the drag force experienced by small spherical particles moving slowly through a viscous fluid.
  • B. Meyer-Peter–Müller bed-load formula
    The Meyer-Peter–Müller bed-load formula is a classic empirical equation in fluvial hydraulics used to estimate the transport rate of coarse sediment along a riverbed under given flow conditions.
  • C. Charney equation
    The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
  • D. Einstein bed-load function
    The Einstein bed-load function is a seminal hydraulic engineering formula developed by Hans Albert Einstein to predict the transport rate of sediment particles rolling and sliding along a riverbed under flowing water.
  • E. Fick's first law of diffusion
    Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
  • 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: Darcy’s law
Triple: [Saffman–Taylor instability, governingEquations, Darcy’s law]
Generated description
Darcy’s law is a fundamental equation in fluid mechanics that relates the volumetric flow rate of a fluid through a porous medium to the pressure gradient, permeability, and fluid viscosity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Darcy’s law
Target entity description: Darcy’s law is a fundamental equation in fluid mechanics that relates the volumetric flow rate of a fluid through a porous medium to the pressure gradient, permeability, and fluid viscosity.
  • A. Stokes' law
    Stokes' law is a fundamental equation in fluid dynamics that describes the drag force experienced by small spherical particles moving slowly through a viscous fluid.
  • B. Meyer-Peter–Müller bed-load formula
    The Meyer-Peter–Müller bed-load formula is a classic empirical equation in fluvial hydraulics used to estimate the transport rate of coarse sediment along a riverbed under given flow conditions.
  • C. Charney equation
    The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
  • D. Einstein bed-load function
    The Einstein bed-load function is a seminal hydraulic engineering formula developed by Hans Albert Einstein to predict the transport rate of sediment particles rolling and sliding along a riverbed under flowing water.
  • E. Fick's first law of diffusion
    Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: governingEquations
Context triple: [Saffman–Taylor instability, governingEquations, Darcy’s law]
  • A. equationOfMotionFor
    Indicates that one entity specifies the mathematical equation governing the motion or dynamics of another entity.
  • B. mathematicallyFormulatedBy
    Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
  • C. mathematicallyExpressedBy chosen
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • D. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • E. numberOfEquations
    Indicates the total count of equations associated with or involved in a given entity or context.
  • F. None of above.

Provenance (6 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_69c6888b5248819090499a884ee3ec39 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e8e3d9188190ba2792098d76fb86 completed March 27, 2026, 8:30 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7b956ce048190b377dd62f5b5b173 completed March 28, 2026, 11:19 a.m.
NEDg Description generation batch_69c7ba1752648190a417bdbbbf04a243 completed March 28, 2026, 11:23 a.m.
NED2 Entity disambiguation (via description) batch_69c7bada296c819094b92c0479ab8a3a completed March 28, 2026, 11:26 a.m.
PD Predicate disambiguation batch_69c6e752385c819096fbab55566ee2a8 completed March 27, 2026, 8:23 p.m.
Created at: March 27, 2026, 2:50 p.m.